Table of contents for issues of Numerical Algorithms

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Volume 1, Number 1, 1991
Volume 1, Number 2, 1991
Volume 1, Number 3, September, 1991
Volume 1, Number 4, November, 1991
Volume 2, Number 1, February, 1992
Volume 2, Number 2, 1992
Volume 2, Number 3--4, September, 1992
Volume 3, Number 1--4, December, 1992
Volume 4, Number 1--2, January, 1993
Volume 4, Number 3, March, 1993
Volume 4, Number 4, May, 1993
Volume 5, Number 1--4, November, 1993
Volume 6, Number 1--2, January, 1994
Volume 6, Number 3--4, March, 1994
Volume 7, Number 1, June, 1994
Volume 7, Number 2--4, July, 1994
Volume 8, Number 1, 1994
Volume 8, Number 2--4, January, 1994
Volume 9, Number 1--2, May, 1995
Volume 9, Number 3--4, 1995
Volume 10, Number 1--2, July, 1995
Volume 10, Number 3--4, October, 1995
Volume 11, Number 1--4, March, 1996
Volume 12, Number 1--2, April, 1996
Volume 12, Number 3--4, July, 1996
Volume 13, Number 1--2, 1996
Volume 13, Number 3--4, 1996
Volume 14, Number 1--3, March, 1997
Volume 14, Number 4, December, 1997
Volume 15, Number 1, December, 1997
Volume 15, Number 2, December, 1997
Volume 15, Number 3--4, January, 1997
Volume 16, Number 1, December, 1997
Volume 16, Number 2, December, 1997
Volume 16, Number 3--4, December, 1997
Volume 17, Number 1--2, March, 1998
Volume 17, Number 3--4, September, 1998
Volume 18, Number 1, September, 1998
Volume 18, Number 2, September, 1998
Volume 18, Number 3--4, September, 1998
Volume 19, Number 1--4, September, 1998
Volume 20, Number 1, March, 1999
Volume 20, Number 2--3, June, 1999
Volume 20, Number 4, December, 1999
Volume 21, Number 1--4, December, 1999
Volume 22, Number 1, December, 1999
Volume 22, Number 2, December, 1999
Volume 22, Number 3--4, December, 1999
Volume 23, Number 1, March, 2000
Volume 23, Number 2--3, June, 2000
Volume 23, Number 4, December, 2000
Volume 24, Number 1--2, December, 2000
Volume 24, Number 3, September, 2000
Volume 24, Number 4, December, 2000
Volume 25, Number 1--4, September, 2000
Volume 26, Number 1, January, 2001
Volume 26, Number 2, February, 2001
Volume 26, Number 3, March, 2001
Volume 26, Number 4, April, 2001
Volume 27, Number 1, May, 2001
Volume 27, Number 2, June, 2001
Volume 27, Number 3, July, 2001
Volume 27, Number 4, August, 2001
Volume 28, Number 1--4, December, 2001
Volume 29, Number 1--3, March, 2002
Volume 29, Number 4, April, 2002
Volume 30, Number 1, May, 2002
Volume 30, Number 2, June, 2002
Volume 30, Number 3--4, August, 2002
Volume 31, Number 1--4, December, 2002
Volume 32, Number 1, January, 2003
Volume 32, Number 2--4, April, 2003
Volume 33, Number 1--4, August, 2003
Volume 34, Number 1, September, 2003
Volume 34, Number 2--4, December, 2003
Volume 35, Number 1, January, 2004
Volume 35, Number 2--4, April, 2004
Volume 36, Number 1, May, 2004
Volume 36, Number 2, June, 2004
Volume 36, Number 3, July, 2004
Volume 36, Number 4, August, 2004
Volume 37, Number 1--4, December, 2004
Volume 38, Number 1--3, March, 2005
Volume 38, Number 4, April, 2005
Volume 39, Number 1--3, July, 2005
Volume 39, Number 4, August, 2005
Volume 40, Number 1, September, 2005
Volume 40, Number 2, October, 2005
Volume 40, Number 3, November, 2005
Volume 40, Number 4, December, 2005
Volume 41, Number 1, January, 2006
Volume 41, Number 2, February, 2006
Volume 41, Number 3, March, 2006
Volume 41, Number 4, April, 2006
Volume 42, Number 1, May, 2006
Volume 42, Number 2, June, 2006
Volume 42, Number 3--4, July, 2006
Volume 43, Number 1, September, 2006
Volume 43, Number 2, October, 2006
Volume 43, Number 3, November, 2006
Volume 43, Number 4, December, 2006
Volume 44, Number 1, January, 2007
Volume 44, Number 2, February, 2007
Volume 44, Number 3, March, 2007
Volume 44, Number 4, April, 2007
Volume 45, Number 1--4, August, 2007
Volume 46, Number 1, September, 2007
Volume 46, Number 2, October, 2007
Volume 46, Number 3, November, 2007
Volume 46, Number 4, December, 2007
Volume 47, Number 1, January, 2008
Volume 47, Number 2, February, 2008
Volume 47, Number 3, March, 2008
Volume 47, Number 4, April, 2008
Volume 48, Number 1--3, July, 2008
Volume 48, Number 4, August, 2008
Volume 49, Number 1--4, December, 2008
Volume 50, Number 1, January, 2009
Volume 50, Number 2, February, 2009
Volume 50, Number 3, March, 2009
Volume 50, Number 4, April, 2009
Volume 51, Number 1, May, 2009
Volume 51, Number 2, June, 2009
Volume 51, Number 3, July, 2009
Volume 51, Number 4, August, 2009
Volume 52, Number 1, September, 2009
Volume 52, Number 2, October, 2009
Volume 52, Number 3, November, 2009
Volume 52, Number 4, December, 2009
Volume 53, Number 1, January, 2010
Volume 53, Number 2--3, March, 2010
Volume 53, Number 4, April, 2010
Volume 54, Number 1, May, 2010
Volume 54, Number 2, June, 2010
Volume 54, Number 3, July, 2010
Volume 54, Number 4, August, 2010
Volume 55, Number 1, September, 2010
Volume 55, Number 2--3, November, 2010
Volume 55, Number 4, December, 2010
Volume 56, Number 1, January, 2011
Volume 56, Number 2, February, 2011
Volume 56, Number 3, March, 2011
Volume 56, Number 4, April, 2011
Volume 57, Number 1, May, 2011
Volume 57, Number 2, June, 2011
Volume 57, Number 3, July, 2011
Volume 57, Number 4, August, 2011
Volume 58, Number 1, September, 2011
Volume 58, Number 2, October, 2011
Volume 58, Number 3, November, 2011
Volume 58, Number 4, December, 2011
Volume 59, Number 1, January, 2012
Volume 59, Number 2, February, 2012
Volume 59, Number 3, March, 2012
Volume 59, Number 4, April, 2012
Volume 60, Number 1, May, 2012
Volume 60, Number 2, June, 2012
Volume 60, Number 3, July, 2012
Volume 60, Number 4, August, 2012
Volume 61, Number 1, September, 2012
Volume 61, Number 2, October, 2012
Volume 61, Number 3, November, 2012
Volume 61, Number 4, December, 2012
Volume 62, Number 1, January, 2013
Volume 62, Number 2, February, 2013
Volume 62, Number 3, March, 2013
Volume 62, Number 4, April, 2013
Volume 63, Number 1, May, 2013
Volume 63, Number 2, June, 2013
Volume 63, Number 3, July, 2013
Volume 63, Number 4, August, 2013
Volume 64, Number 1, September, 2013
Volume 64, Number 2, October, 2013
Volume 64, Number 3, November, 2013
Volume 64, Number 4, December, 2013
Volume 65, Number 1, January, 2014
Volume 65, Number 2, February, 2014
Volume 65, Number 3, March, 2014
Volume 65, Number 4, April, 2014
Volume 66, Number 1, May, 2014
Volume 66, Number 2, June, 2014
Volume 66, Number 3, July, 2014
Volume 66, Number 4, August, 2014
Volume 67, Number 1, September, 2014
Volume 67, Number 2, October, 2014
Volume 67, Number 3, November, 2014
Volume 67, Number 4, December, 2014
Volume 68, Number 1, January, 2015
Volume 68, Number 2, February, 2015
Volume 68, Number 3, March, 2015
Volume 68, Number 4, April, 2015
Volume 69, Number 1, May, 2015
Volume 69, Number 2, June, 2015
Volume 69, Number 3, July, 2015
Volume 69, Number 4, August, 2015
Volume 70, Number 1, September, 2015
Volume 70, Number 2, October, 2015
Volume 70, Number 3, November, 2015
Volume 70, Number 4, December, 2015
Volume 71, Number 1, January, 2016
Volume 71, Number 2, February, 2016
Volume 71, Number 3, March, 2016
Volume 71, Number 4, April, 2016
Volume 72, Number 1, May, 2016
Volume 72, Number 2, June, 2016
Volume 72, Number 3, July, 2016
Volume 72, Number 4, August, 2016
Volume 73, Number 1, September, 2016
Volume 73, Number 2, October, 2016
Volume 73, Number 3, November, 2016
Volume 73, Number 4, December, 2016
Volume 74, Number 1, January, 2017
Volume 74, Number 2, February, 2017
Volume 74, Number 3, March, 2017
Volume 74, Number 4, April, 2017
Volume 75, Number 1, May, 2017
Volume 75, Number 2, June, 2017
Volume 75, Number 3, July, 2017
Volume 75, Number 4, August, 2017
Volume 76, Number 1, September, 2017
Volume 76, Number 2, October, 2017
Volume 76, Number 3, November, 2017
Volume 76, Number 4, December, 2017
Volume 77, Number 1, January, 2018
Volume 77, Number 2, February, 2018
Volume 77, Number 3, March, 2018
Volume 77, Number 4, April, 2018
Volume 78, Number 1, May, 2018
Volume 78, Number 2, June, 2018
Volume 78, Number 3, July, 2018
Volume 78, Number 4, August, 2018
Volume 79, Number 1, September, 2018
Volume 79, Number 2, October, 2018
Volume 79, Number 3, November, 2018
Volume 79, Number 4, December, 2018
Volume 80, Number 1, January, 2019
Volume 80, Number 2, February, 2019
Volume 80, Number 3, March, 2019
Volume 80, Number 4, April, 2019
Volume 81, Number 1, May, 2019
Volume 81, Number 2, June, 2019
Volume 81, Number 3, July, 2019
Volume 81, Number 4, August, 2019
Volume 82, Number 1, September, 2019
Volume 82, Number 2, October, 2019
Volume 82, Number 3, November, 2019
Volume 82, Number 4, December, 2019
Volume 83, Number 1, January, 2020
Volume 83, Number 2, February, 2020
Volume 83, Number 3, March, 2020
Volume 83, Number 4, April, 2020
Volume 84, Number 1, May, 2020
Volume 84, Number 2, June, 2020
Volume 84, Number 3, July, 2020
Volume 84, Number 4, August, 2020
Volume 85, Number 1, September, 2020
Volume 85, Number 2, October, 2020
Volume 85, Number 3, November, 2020
Volume 85, Number 4, December, 2020
Volume 86, Number 1, January, 2021
Volume 86, Number 2, February, 2021
Volume 86, Number 3, March, 2021
Volume 86, Number 4, April, 2021
Volume 87, Number 1, May, 2021
Volume 87, Number 2, June, 2021
Volume 87, Number 3, July, 2021
Volume 87, Number 4, August, 2021
Volume 88, Number 1, September, 2021
Volume 88, Number 2, October, 2021
Volume 88, Number 3, November, 2021
Volume 88, Number 4, December, 2021
Volume 89, Number 1, January, 2022
Volume 89, Number 2, February, 2022
Volume 89, Number 3, March, 2022
Volume 89, Number 4, April, 2022
Volume 90, Number 1, May, 2022
Volume 90, Number 2, June, 2022
Volume 90, Number 3, July, 2022
Volume 90, Number 4, August, 2022
Volume 91, Number 1, September, 2022
Volume 91, Number 2, October, 2022
Volume 91, Number 3, November, 2022
Volume 91, Number 4, December, 2022
Volume 92, Number 1, January, 2023
Volume 92, Number 2, February, 2023
Volume 92, Number 3, March, 2023
Volume 92, Number 4, April, 2023
Volume 93, Number 1, May, 2023
Volume 93, Number 2, June, 2023
Volume 93, Number 3, July, 2023
Volume 93, Number 4, August, 2023
Volume 94, Number 1, September, 2023
Volume 94, Number 2, October, 2023
Volume 94, Number 3, November, 2023
Volume 94, Number 4, December, 2023
Volume 95, Number 1, 2024
Volume 95, Number 2, 2024
Volume 95, Number 3, March, 2024
Volume 95, Number 4, April, 2024


Numerical Algorithms
Volume 1, Number 1, 1991

           William R. Ferng and   
              Gene H. Golub and   
             Robert J. Plemmons   Adaptive Lanczos methods for recursive
                                  condition estimation . . . . . . . . . . 1--19
            Daniel L. Boley and   
               Sylvan Elhay and   
              Gene H. Golub and   
            Martin H. Gutknecht   Nonsymmetric Lanczos and finding
                                  orthogonal polynomials associated with
                                  indefinite weights . . . . . . . . . . . 21--43
             Rekha Kulkarni and   
            Pierre-Jean Laurent   ${Q}$-splines  . . . . . . . . . . . . . 45--73
           Charles A. Micchelli   Using the refinement equation for the
                                  construction of pre-wavelets . . . . . . 75--116

Numerical Algorithms
Volume 1, Number 2, 1991

           Phillip J. Barry and   
              Ronald N. Goldman   Shape parameter deletion for Pólya curves 121--137
                 M. A. Barkatou   Characterization of regular singular
                                  linear systems of difference equations   139--154
                 J. M. Carnicer   On best constrained interpolation  . . . 155--176
             Paul Sablonni\`ere   Comparison of four algorithms
                                  accelerating the convergence of a subset
                                  of logarithmic fixed point sequences . . 177--197
           Claude Brezinski and   
                  Hassane Sadok   Avoiding breakdown in the CGS algorithm  199--206
               C. Brezinski and   
               M. Redivo Zaglia   A new presentation of orthogonal
                                  polynomials with applications to their
                                  computation  . . . . . . . . . . . . . . 207--221

Numerical Algorithms
Volume 1, Number 3, September, 1991

    A. le Méhauté   Taylorian fields and subdivision
                                  algorithms . . . . . . . . . . . . . . . 225--235
                   Ana C. Matos   Acceleration results for the vector
                                  E-algorithm  . . . . . . . . . . . . . . 237--260
               C. Brezinski and   
           M. Redivo Zaglia and   
                       H. Sadok   Avoiding breakdown and near-breakdown in
                                  Lanczos type algorithms  . . . . . . . . 261--284
             Marc Van Barel and   
               Adhemar Bultheel   The computation of non-perfect
                                  Padé--Hermite approximants  . . . . . . . 285--304
                 G. Csordas and   
                  A. Ruttan and   
                    R. S. Varga   The Laguerre inequalities with
                                  applications to a problem associated
                                  with the Riemann hypothesis  . . . . . . 305--329

Numerical Algorithms
Volume 1, Number 4, November, 1991

       Charles A. Micchelli and   
           Christophe Rabut and   
           Florencio I. Utreras   Using the refinement equation for the
                                  construction of pre-wavelets. III.
                                  Elliptic splines . . . . . . . . . . . . 331--351
              Michael Berry and   
                     Gene Golub   Estimating the largest singular values
                                  of large sparse matrices via modified
                                  moments  . . . . . . . . . . . . . . . . 353--373
           G. Mühlbach and   
                       M. Gasca   Multivariate polynomial interpolation
                                  under projectivities. I. Lagrange and
                                  Newton interpolation formulas  . . . . . 375--399
             Florent Cordellier   On the use of Kronecker's algorithm in
                                  the generalized rational interpolation
                                  problem  . . . . . . . . . . . . . . . . 401--413


Numerical Algorithms
Volume 2, Number 1, February, 1992

                Serge Dubuc and   
                    Abdul Malik   Convex hull of powers of a complex
                                  number, trinomial equations and the
                                  Farey sequence . . . . . . . . . . . . . 1--32
                   Ming Jun Lai   Fortran subroutines for ${B}$-nets of
                                  box splines on three- and
                                  four-directional meshes  . . . . . . . . 33--38
               Christophe Rabut   Elementary $m$-harmonic cardinal
                                  ${B}$-splines  . . . . . . . . . . . . . 39--61 (or 39--62??)
               Christophe Rabut   High level $m$-harmonic cardinal
                                  ${B}$-splines  . . . . . . . . . . . . . 63--84
           Adhemar Bultheel and   
 Pablo González-Vera and   
            Erik Hendriksen and   
             Olav Njåstad   The computation of orthogonal rational
                                  functions and their interpolating
                                  properties . . . . . . . . . . . . . . . 85--114

Numerical Algorithms
Volume 2, Number 2, 1992

                    Naoki Osada   Extensions of Levin's transformations to
                                  vector sequences . . . . . . . . . . . . 121--131
               C. Brezinski and   
           M. Redivo Zaglia and   
                       H. Sadok   Addendum to: ``Avoiding breakdown and
                                  near-breakdown in Lanczos type
                                  algorithms'' [Numer. Algorithms \bf 1
                                  (1991), no. 3, 261--284, MR 92j:65041]   133--136
               Kunio Tanabe and   
                 Masahiko Sagae   Pivoting strategy for rank-one
                                  modification of ${LDM}^{\sf t}$-like
                                  factorization  . . . . . . . . . . . . . 137--153
              Stefan Paszkowski   Convergence acceleration of continued
                                  fractions of Poincaré's type $1$  . . . . 155--170
           Richard S. Varga and   
              Amos J. Carpenter   Some numerical results on best uniform
                                  rational approximation of $x^\alpha$ on
                                  $[0,1]$  . . . . . . . . . . . . . . . . 171--185
                  J. L. Merrien   A family of Hermite interpolants by
                                  bisection algorithms . . . . . . . . . . 187--200
                 Stan Cabay and   
                  George Labahn   A superfast algorithm for
                                  multidimensional Padé systems . . . . . . 201--224
                   M. Gasca and   
       Charles A. Micchelli and   
              J. M. Peña   Almost strictly totally positive
                                  matrices . . . . . . . . . . . . . . . . 225--236

Numerical Algorithms
Volume 2, Number 3--4, September, 1992

             Paul Sablonni\`ere   A short note on the generalized Euler
                                  transform for the summation of power
                                  series . . . . . . . . . . . . . . . . . 241--254
                   M. Gasca and   
               G. Mühlbach   Multivariate polynomial interpolation
                                  under projectivities. II.
                                  Neville--Aitken formulas . . . . . . . . 255--277
                  Thomas Huckle   A note on skewcirculant preconditioners
                                  for elliptic problems  . . . . . . . . . 279--286
           Pierre Verlinden and   
                  Ann Haegemans   An asymptotic expansion in wavelet
                                  analysis and its application to accurate
                                  numerical wavelet decomposition  . . . . 287--298
                   T. Tommasini   A new algorithm for special Vandermonde
                                  systems  . . . . . . . . . . . . . . . . 299--306
                       A. Croft   An application of convergence
                                  acceleration techniques to a class of
                                  two-point boundary value problems on a
                                  semi-infinite domain . . . . . . . . . . 307--320
                   G. A. Watson   Linear best approximation using a class
                                  of polyhedral norms  . . . . . . . . . . 321--335
            Robert D. Skeel and   
                    Hon-Wah Tam   Limits of parallelism in explicit ODE
                                  methods  . . . . . . . . . . . . . . . . 337--349
            Craig MacDonald and   
               Wayne H. Enright   Implications of order reduction for
                                  implicit Runge--Kutta methods  . . . . . 351--369
       Christian H. Bischof and   
           Per Christian Hansen   A block algorithm for computing
                                  rank-revealing ${QR}$ factorizations . . 371--391
               Ana C. Matos and   
            Marc Prévost   Acceleration property for the columns of
                                  the ${E}$-algorithm  . . . . . . . . . . 393--408
               Rembert Reemtsen   A cutting plane method for solving
                                  minimax problems in the complex plane    409--436


Numerical Algorithms
Volume 3, Number 1--4, December, 1992

              Daniel Bessis and   
                Carlos R. Handy   Moment problem formulation of the
                                  Schrödinger equation  . . . . . . . . . . 1--16
              Philip Rabinowitz   Extrapolation methods in numerical
                                  integration  . . . . . . . . . . . . . . 17--28
        Bernhard Beckermann and   
             Carsten Carstensen   A reliable modification of the cross
                                  rule for rational Hermite interpolation  29--44
        Bernhard Beckermann and   
                  George Labahn   A uniform approach for Hermite Padé and
                                  simultaneous Padé approximants and their
                                  matrix-type generalizations  . . . . . . 45--54
                   T. Bloom and   
             D. S. Lubinsky and   
                       H. Stahl   Interpolatory integration rules and
                                  orthogonal polynomials with varying
                                  weights  . . . . . . . . . . . . . . . . 55--65
  Catherine M. Bonan-Hamada and   
           William B. Jones and   
                W. J. Thron and   
                    Arne Magnus   Para-orthogonal Laurent polynomials and
                                  associated sequences of rational
                                  functions  . . . . . . . . . . . . . . . 67--74
               C. Brezinski and   
                       H. Sadok   Some vector sequence transformations
                                  with applications to systems of
                                  equations  . . . . . . . . . . . . . . . 75--80
           Adhemar Bultheel and   
 Pablo González-Vera and   
            Erik Hendriksen and   
             Olav Njåstad   A Favard theorem for orthogonal rational
                                  functions on the unit circle . . . . . . 81--89
           Adhemar Bultheel and   
 Pablo González-Vera and   
            Erik Hendriksen and   
             Olav Njåstad   A moment problem associated to rational
                                  Szeg\Ho functions  . . . . . . . . . . . 91--104
           Adhemar Bultheel and   
 Pablo González-Vera and   
            Erik Hendriksen and   
             Olav Njåstad   Orthogonal rational functions and
                                  quadrature on the unit circle  . . . . . 105--116
                 M. Camacho and   
        P. González-Vera   Rational approximants to symmetric
                                  formal Laurent series  . . . . . . . . . 117--124
                 J. M. Carnicer   Rational interpolation with a single
                                  variable pole  . . . . . . . . . . . . . 125--132
              C. Carstensen and   
               G. Mühlbach   The Neville--Aitken formula for rational
                                  interpolants with prescribed poles . . . 133--141
                John P. Coleman   Rational approximations for the cosine
                                  function: ${\rm P}$-acceptability and
                                  order  . . . . . . . . . . . . . . . . . 143--158
                 Annie Cuyt and   
               Brigitte Verdonk   Multivariate rational data fitting:
                                  general data structure, maximal accuracy
                                  and object orientation . . . . . . . . . 159--172
                    Z. Da Rocha   Implementation of the recurrence
                                  relations of biorthogonality . . . . . . 173--183
             M. G. de Bruin and   
               K. A. Driver and   
                 D. S. Lubinsky   Convergence of simultaneous Hermite--Padé
                                  approximants to the $n$-tuple of
                                  $q$-hypergeometric series
                                  $\{{}_1\!\Phi_1({1,1\choose c,\gamma_j}
                                  and z)\}^n_{j=1}$  . . . . . . . . . . . 185--192
              Mariano Gasca and   
 José J. Martínez   Bivariate Hermite--Birkhoff
                                  interpolation and Vandermonde
                                  determinants . . . . . . . . . . . . . . 193--199
C. González-Concepción and   
    P. González-Vera and   
                  E. Hendriksen   Matrix orthogonal Laurent polynomials
                                  and two-point Padé approximants . . . . . 201--209
   S. González-Pinto and   
    P. González-Vera and   
                   J. C. Santos   On extrapolation of Jagerman and Stetter
                                  rules  . . . . . . . . . . . . . . . . . 211--222
        P. R. Graves-Morris and   
                     R. Thukral   Solution of integral equations using
                                  function-valued Padé approximants. II . . 223--234
                   N. Hayek and   
    P. González-Vera and   
         F. Pérez-Acosta   Rational approximation to Neumann series
                                  of Bessel functions  . . . . . . . . . . 235--244
          Herbert H. H. Homeier   A Levin-type algorithm for accelerating
                                  the convergence of Fourier series  . . . 245--254
           William B. Jones and   
         Olav Njåstad and   
               Haakon Waadeland   Asymptotics for Szeg\Ho polynomial zeros 255--264
                  A. G. Law and   
                C. N. Zhang and   
               A. Rezazadeh and   
                L. Jódar   Evaluation of a rational function  . . . 265--272
        Hervé Le Ferrand   The quadratic convergence of the
                                  topological $\epsilon$-algorithm for
                                  systems of nonlinear equations . . . . . 273--283
 Francisco Marcellán and   
              Gabriela Sansigre   Quadratic decomposition of orthogonal
                                  polynomials: a matrix approach . . . . . 285--298
                      P. Maroni   Two-dimensional orthogonal polynomials,
                                  their associated sets and the
                                  co-recursive sets  . . . . . . . . . . . 299--311
                   Ana C. Matos   Convergence and acceleration properties
                                  for the vector $\epsilon$-algorithm  . . 313--319
           Makoto Murofushi and   
                Hideko Nagasaka   On the internal stepsize of an
                                  extrapolation algorithm for IVP in ODE   321--334
                    Naoki Osada   Extrapolation methods for some singular
                                  fixed point sequences  . . . . . . . . . 335--344
     Miguel A. Piñar and   
         Teresa E. Pérez   On higher order Padé-type approximants
                                  with some prescribed coefficients in the
                                  numerator  . . . . . . . . . . . . . . . 345--352
               M. Redivo Zaglia   Particular rules for the
                                  ${\Theta}$-algorithm . . . . . . . . . . 353--369
                  D. E. Roberts   Clifford algebras and vector-valued
                                  rational forms. II . . . . . . . . . . . 371--381
           Frode Rònning   PC-fractions and Szeg\Ho polynomials
                                  associated with starlike univalent
                                  functions  . . . . . . . . . . . . . . . 383--391
                    A. Ronveaux   Sobolev inner products and orthogonal
                                  polynomials of Sobolev type  . . . . . . 393--399
             Paul Sablonni\`ere   Asymptotic behaviour of iterated
                                  modified ${\Delta}^2$ and $\theta_2$
                                  transforms on some slowly convergent
                                  sequences  . . . . . . . . . . . . . . . 401--409
            Tetsuya Sakurai and   
            Hiroshi Sugiura and   
                   Tatsuo Torii   Numerical factorization of a polynomial
                                  by rational Hermite interpolation  . . . 411--418
    Franciszek Hugon Szafraniec   On extending backwards positive definite
                                  sequences  . . . . . . . . . . . . . . . 419--425
                  Xue Cheng Tai   Global extrapolation with a parallel
                                  splitting method . . . . . . . . . . . . 427--440
                    W. J. Thron   Limit periodic Schur algorithms, the
                                  case $\vert\gamma\vert=1,\sum d_n<\infty$ 441--450
               M. Van Barel and   
                    A. Bultheel   A general module-theoretic framework for
                                  vector M-Padé and matrix rational
                                  interpolation  . . . . . . . . . . . . . 451--461
          Jeannette Van Iseghem   Best choice of the pole for the Padé-type
                                  approximant of a Stieltjes function  . . 463--475
          Ernst Joachim Weniger   Interpolation between sequence
                                  transformations  . . . . . . . . . . . . 477--486


Numerical Algorithms
Volume 4, Number 1--2, January, 1993

         Jean-Pierre Dedieu and   
         Jean-Claude Yakoubsohn   Computing the real roots of a polynomial
                                  by the exclusion algorithm . . . . . . . 1--24
             Laurent Stolovitch   On the computation of a versal family of
                                  matrices . . . . . . . . . . . . . . . . 25--46
            Florin Dan Barb and   
                   Martin Weiss   Model reduction techniques for
                                  sampled-data systems . . . . . . . . . . 47--64
                 Marco Marletta   Automatic solution of regular and
                                  singular vector Sturm--Liouville
                                  problems . . . . . . . . . . . . . . . . 65--99
          Sabine Van Huffel and   
                  Hong Yuan Zha   An efficient total least squares
                                  algorithm based on a rank-revealing
                                  two-sided orthogonal decomposition . . . 101--133
                      Th. Sonar   On the design of an upwind scheme for
                                  compressible flow on general
                                  triangulations . . . . . . . . . . . . . 135--149
       Per Christian Hansen and   
                  Henrik Gesmar   Fast orthogonal decomposition of rank
                                  deficient Toeplitz matrices  . . . . . . 151--166
                 Kuiyuan Li and   
                   Tien-Yien Li   A homotopy algorithm for a symmetric
                                  generalized eigenproblem . . . . . . . . 167--195
             Wilhelm Niethammer   A note on the implementation of the
                                  successive overrelaxation method for
                                  linear complementarity problems  . . . . 197--200

Numerical Algorithms
Volume 4, Number 3, March, 1993

                    Yuan Xu and   
                W. A. Light and   
                   E. W. Cheney   Constructive methods of approximation by
                                  ridge functions and radial functions . . 205--223
                Paul Levrie and   
               Adhemar Bultheel   A note on Thiele $n$-fractions . . . . . 225--239
    Maria A. Diniz-Ehrhardt and   
José Mario Martínez   A parallel projection method for
                                  overdetermined nonlinear systems of
                                  equations  . . . . . . . . . . . . . . . 241--262
                Nguyen Huu Cong   ${A}$-stable diagonally implicit
                                  Runge--Kutta--Nyström methods for
                                  parallel computers . . . . . . . . . . . 263--281
                   M. Calvo and   
            J. I. Montijano and   
               L. Rández   On the change of step size in multistep
                                  codes  . . . . . . . . . . . . . . . . . 283--304

Numerical Algorithms
Volume 4, Number 4, May, 1993

                 Sylvain Durand   Convergence of cascade algorithms
                                  introduced by I. Daubechies  . . . . . . 307--322
             Kyrre Stròm   Products of ${B}$-patches  . . . . . . . 323--337
            Carmelo Clavero and   
              Francisco Lisbona   Uniformly convergent finite difference
                                  methods for singularly perturbed
                                  problems with turning points . . . . . . 339--359
                 Khalide Jbilou   A general projection algorithm for
                                  solving systems of linear equations  . . 361--377
                Pascal Joly and   
          Gérard Meurant   Complex conjugate gradient methods . . . 379--406


Numerical Algorithms
Volume 5, Number 1--4, November, 1993

                   Carl de Boor   On the evaluation of box splines . . . . 5--23
                J. C. Mason and   
               G. Rodriguez and   
                      S. Seatzu   Orthogonal splines based on
                                  ${B}$-splines---with applications to
                                  least squares, smoothing and
                                  regularisation problems  . . . . . . . . 25--40
            B. L. MacCarthy and   
                 C. S. Syan and   
            M. Caulfield-Browne   Splines in motion --- An introduction to
                                  MODUS and some unresolved approximation
                                  problems . . . . . . . . . . . . . . . . 41--49
                 Gerlind Plonka   An efficient algorithm for periodic
                                  Hermite spline interpolation with
                                  shifted nodes  . . . . . . . . . . . . . 51--62
            Leonardo Traversoni   An algorithm for natural spline
                                  interpolation  . . . . . . . . . . . . . 63--70
                 Ruud van Damme   An algorithm for determining the
                                  approximation orders of multivariate
                                  periodic spline spaces . . . . . . . . . 71--81
               I. Barrodale and   
                R. Kuwahara and   
                R. Poeckert and   
                        D. Skea   Side-scan sonar image processing using
                                  thin plate splines and control point
                                  matching . . . . . . . . . . . . . . . . 85--98
                M. J. D. Powell   Truncated Laurent expansions for the
                                  fast evaluation of thin plate splines    99--120
                David Handscomb   Local recovery of a solenoidal vector
                                  field by an extension of the thin-plate
                                  spline technique . . . . . . . . . . . . 121--129
                      M. G. Cox   Reliable determination of interpolating
                                  polynomials  . . . . . . . . . . . . . . 133--154
               Jean-Paul Berrut   A closed formula for the \vCeby\vsev
                                  barycentric weights of optimal
                                  approximation in ${H}^2$ . . . . . . . . 155--163
        Morten Dæhlen and   
                Michael Floater   Iterative polynomial interpolation and
                                  data compression . . . . . . . . . . . . 165--177
            Jürgen Prestin   Lagrange interpolation on extended
                                  generalized Jacobi nodes . . . . . . . . 179--190
             I. J. Anderson and   
                  M. G. Cox and   
                    J. C. Mason   Tensor-product spline interpolation to
                                  data on or near a family of lines  . . . 193--204
                  L. Lenarduzzi   Practical selection of neighbourhoods
                                  for local regression in the bivariate
                                  case . . . . . . . . . . . . . . . . . . 205--213
                       S. Thiry   Extremal signatures for bivariate
                                  Chebyshev approximation problems . . . . 215--225
                Wolfgang Dahmen   Decomposition of refinable spaces and
                                  applications to operator equations . . . 229--245
                    W. A. Light   Techniques for generating approximations
                                  via convolution kernels  . . . . . . . . 247--261
                   G. A. Watson   On matrix approximation problems with Ky
                                  Fan $k$ norms  . . . . . . . . . . . . . 263--272
                I. D. Coope and   
            P. R. Graves-Morris   The rise and fall of the vector
                                  $\epsilon$-algorithm . . . . . . . . . . 275--286
              Bernd Fischer and   
                Jan Modersitzki   An algorithm for complex linear
                                  approximation based on semi-infinite
                                  programming  . . . . . . . . . . . . . . 287--297
               M.-P. Istace and   
                   J.-P. Thiran   On computing best Chebyshev complex
                                  rational approximants  . . . . . . . . . 299--308
Kristján Jónasson   A projected conjugate gradient method
                                  for sparse minimax problems  . . . . . . 309--323
              Jack Williams and   
                 Z. Kalogiratou   Nonlinear Chebyshev fitting from the
                                  solution of ordinary differential
                                  equations  . . . . . . . . . . . . . . . 325--337
              M. T. Bozzini and   
                   C. Paracelli   An algorithm for constrained smoothing
                                  functions  . . . . . . . . . . . . . . . 341--351
            Raymond H. Chan and   
            Ping Tak Peter Tang   Constrained minimax approximation and
                                  optimal preconditioners for Toeplitz
                                  matrices . . . . . . . . . . . . . . . . 353--364
                  G. H. Elliott   Least squares data fitting using shape
                                  preserving piecewise approximations  . . 365--371
           Charles A. Micchelli   Optimal estimation of linear operators
                                  from inaccurate data: a second look  . . 375--390
         Giuseppe Rodriguez and   
              Sebastiano Seatzu   Approximation methods for the finite
                                  moment problem . . . . . . . . . . . . . 391--405
            Ken W. Bosworth and   
                    Upmanu Lall   An ${L}_1$ smoothing spline algorithm
                                  with cross validation  . . . . . . . . . 407--417
                D. de Falco and   
             K. M. Frontini and   
                     L. Gotusso   A unifying approach to the
                                  regularization of Fourier polynomials    419--424
             Claudio Barone and   
                 Ezio Venturino   On the numerical evaluation of Cauchy
                                  transforms . . . . . . . . . . . . . . . 429--436
                     L. Brutman   An application of the generalized
                                  alternating polynomials to the numerical
                                  solution of Fredholm integral equations  437--442
                 C. Dagnino and   
              V. Demichelis and   
                       E. Santi   An algorithm for numerical integration
                                  based on quasi-interpolating splines . . 443--452
                 Manfred Tasche   Fast algorithms for discrete
                                  Chebyshev--Vandermonde transforms and
                                  applications . . . . . . . . . . . . . . 453--464
               B. P. Butler and   
                   A. B. Forbes   An algorithm for combining data sets
                                  having different frames of reference . . 467--477
                P. Ciarlini and   
                      F. Pavese   Application of special reduction
                                  procedures to metrological data  . . . . 479--489
                  M. G. Cox and   
               P. M. Harris and   
                D. A. Humphreys   An algorithm for the removal of noise
                                  and jitter in signals and its
                                  application to picosecond electrical
                                  measurement  . . . . . . . . . . . . . . 491--508
              Rudolf Drieschner   Chebyshev approximation to data by
                                  geometric elements . . . . . . . . . . . 509--522
                   A. B. Forbes   Generalized regression problems in
                                  metrology  . . . . . . . . . . . . . . . 523--533
             H.-P. Helfrich and   
                       D. Zwick   A trust region method for implicit
                                  orthogonal distance regression . . . . . 535--545
             Emanuele Galligani   ${C}^1$ surface interpolation with
                                  constraints  . . . . . . . . . . . . . . 549--555
          Bas J. Hogervorst and   
                 Ruud van Damme   Degenerate polynomial patches of degree
                                  $11$ for almost ${GC}^2$ interpolation
                                  over triangles . . . . . . . . . . . . . 557--568
              P. R. Pfluger and   
                      M. Neamtu   On degenerate surface patches  . . . . . 569--575
                   Shmuel Rippa   Scattered data interpolation using
                                  minimum energy Powell--Sabin elements
                                  and data dependent triangulations  . . . 577--587
                    Eric Grosse   Approximation in VLSI simulation . . . . 591--601
                   R. Model and   
                      L. Trahms   An inverse problem of magnetic source
                                  localization . . . . . . . . . . . . . . 603--610
              A. Potchinkov and   
                    R. Reemtsen   A globally most violated cutting plane
                                  method for complex minimax problems with
                                  application to digital filter design . . 611--620
         Venkat V. S. S. Sastry   Algorithms for the computation of Hankel
                                  functions of complex order . . . . . . . 621--628


Numerical Algorithms
Volume 6, Number 1--2, January, 1994

           Per Christian Hansen   REGULARIZATION TOOLS: A Matlab package
                                  for analysis and solution of discrete
                                  ill-posed problems . . . . . . . . . . . 1--35
                 Zhi Jian Huang   The semilocal convergence of a
                                  generalization of Brent's and Brown's
                                  methods  . . . . . . . . . . . . . . . . 37--62
         Jean-Claude Yakoubsohn   Approximating the zeros of analytic
                                  functions by the exclusion algorithm . . 63--88
               Tony F. Chan and   
                 Julia A. Olkin   Circulant preconditioners for
                                  Toeplitz-block matrices  . . . . . . . . 89--101
            B. J. C. Baxter and   
             C. A. E. Micchelli   Norm estimates for the $l^2$-inverses of
                                  multivariate Toeplitz matrices . . . . . 103--117
                H. Allouche and   
                        A. Cuyt   Well-defined determinant representations
                                  for nonnormal multivariate rational
                                  interpolants . . . . . . . . . . . . . . 119--135
                H. Allouche and   
                        A. Cuyt   Singular rules for a multivariate
                                  quotient-difference algorithm  . . . . . 137--168
               J.-P. Dedieu and   
                   Ch. Favardin   Algorithms for ordering unorganized
                                  points along parametrized curves . . . . 169--200

Numerical Algorithms
Volume 6, Number 3--4, March, 1994

               Sylvan Elhay and   
               Jaroslav Kautsky   Jacobi matrices for measures modified by
                                  a rational factor  . . . . . . . . . . . 205--227
                     Avram Sidi   Convergence of intermediate rows of
                                  minimal polynomial and reduced rank
                                  extrapolation tables . . . . . . . . . . 229--244
                 J. C. Dodu and   
                     T. Eve and   
                      M. Minoux   Implementation of a proximal algorithm
                                  for linearly constrained nonsmooth
                                  optimization problems and computational
                                  results  . . . . . . . . . . . . . . . . 245--273
              Dganit Amitai and   
              Amir Averbuch and   
          Samuel Itzikowitz and   
                     Eli Turkel   Asynchronous and corrected-asynchronous
                                  finite difference solutions of PDEs on
                                  MIMD multiprocessors . . . . . . . . . . 275--296
                 Gerlind Plonka   Optimal shift parameters for periodic
                                  spline interpolation . . . . . . . . . . 297--316
          Anne-Mercedes Bellido   Construction of iteration functions for
                                  the simultaneous computation of the
                                  solutions of equations and algebraic
                                  systems  . . . . . . . . . . . . . . . . 317--351
              Michael K. Ng and   
                Raymond H. Chan   Fast iterative methods for least squares
                                  estimations  . . . . . . . . . . . . . . 353--378
        Jean-Charles Fiorot and   
             Pierre Jeannin and   
                    Salim Taleb   New control massic polygon of a
                                  ${B}$-rational curve resulting from a
                                  homographic change of parameter  . . . . 379--418


Numerical Algorithms
Volume 7, Number 1, June, 1994

           Randolph E. Bank and   
                   Tony F. Chan   A composite step bi-conjugate gradient
                                  algorithm for nonsymmetric linear
                                  systems  . . . . . . . . . . . . . . . . 1--16
               Tony F. Chan and   
                     Tedd Szeto   A composite step conjugate gradients
                                  squared algorithm for solving
                                  nonsymmetric linear systems  . . . . . . 17--32
               C. Brezinski and   
               M. Redivo Zaglia   Treatment of near-breakdown in the CGS
                                  algorithm  . . . . . . . . . . . . . . . 33--73
          G. L. G. Sleijpen and   
        H. A. van der Vorst and   
                  D. R. Fokkema   ${\rm {BiCGstab}}(l)$ and other hybrid
                                  Bi-CG methods  . . . . . . . . . . . . . 75--109

Numerical Algorithms
Volume 7, Number 2--4, July, 1994

               C. S. Kenney and   
                     A. J. Lamb   A hyperbolic tangent identity and the
                                  geometry of Padé sign function iterations 111--128
           Jean-Marie Chesneaux   The equality relations in scientific
                                  computing  . . . . . . . . . . . . . . . 129--143
                M. Mitrouli and   
              G. Kalogeropoulos   A compound matrix algorithm for the
                                  computation of the Smith form of a
                                  polynomial matrix  . . . . . . . . . . . 145--159
                     Guido Walz   Asymptotic expansions for classical and
                                  generalized divided differences
                                  including applications . . . . . . . . . 161--171
       Augustin A. Dubrulle and   
                  Gene H. Golub   A multishift QR iteration without
                                  computation of the shifts  . . . . . . . 173--181
               Martin Hanke and   
                  James G. Nagy   Toeplitz approximate inverse
                                  preconditioner for banded Toeplitz
                                  matrices . . . . . . . . . . . . . . . . 183--199
              Charles B. Dunham   Uniform approximation by McCallig
                                  rationals  . . . . . . . . . . . . . . . 201--204
                  R. Wright and   
                    J. Cash and   
                       G. Moore   Mesh selection for stiff two-point
                                  boundary value problems  . . . . . . . . 205--224
                       A. Salam   Non-commutative extrapolation algorithms 225--251
                   Xingping Sun   Cardinal Hermite interpolation using
                                  positive definite functions  . . . . . . 253--268
               Philip T. Keenan   Mixed methods on quadrilaterals and
                                  hexahedra  . . . . . . . . . . . . . . . 269--293
                P. Ciarlet, Jr.   Repeated Red-Black ordering: a new
                                  approach . . . . . . . . . . . . . . . . 295--324
        Serge J. Olszanskyj and   
             James M. Lebak and   
            Adam W. Boja\'nczyk   Rank-$k$ modification methods for
                                  recursive least squares problems . . . . 325--354
                  Cristian Oara   Proper deflating subspaces: properties,
                                  algorithms and applications  . . . . . . 355--373
               Lina Hemmingsson   A fast modified sine transform for
                                  solving block-tridiagonal systems with
                                  Toeplitz blocks  . . . . . . . . . . . . 375--389
             Jean-Louis Merrien   Dyadic Hermite interpolants on a
                                  triangulation  . . . . . . . . . . . . . 391--410


Numerical Algorithms
Volume 8, Number 1, 1994

         Radka Turcajová   Factorizations and construction of
                                  linear phase paraunitary filter banks
                                  and higher multiplicity wavelets . . . . 1--25
     Radka Turcajová and   
               Jaroslav Kautsky   Shift products and factorizations of
                                  wavelet matrices . . . . . . . . . . . . 27--45
          Herbert H. H. Homeier   A hierarchically consistent, iterative
                                  sequence transformation  . . . . . . . . 47--81
              T. O. Espelid and   
                 K. J. Overholt   DQAINF: an algorithm for automatic
                                  integration of infinite oscillating
                                  tails  . . . . . . . . . . . . . . . . . 83--101
           G. Mühlbach and   
                       M. Gasca   Multivariate polynomial interpolation
                                  under projectivities. III. Remainder
                                  formulas . . . . . . . . . . . . . . . . 103--109
               Guang Fu Sun and   
                  Martin Stynes   Finite element methods on piecewise
                                  equidistant meshes for interior turning
                                  point problems . . . . . . . . . . . . . 111--129
                   Xingping Sun   The fundamentality of translates of a
                                  continuous function on spheres . . . . . 131--134
                   G. A. Watson   Linear best approximation using a class
                                  of $k$-major $l_p$ norms . . . . . . . . 135--146

Numerical Algorithms
Volume 8, Number 2--4, January, 1994

                Erlend Arge and   
                Michael Floater   Approximating scattered data with
                                  discontinuities  . . . . . . . . . . . . 149--166
               Bernard Bialecki   Cyclic reduction and FACR methods for
                                  piecewise Hermite bicubic orthogonal
                                  spline collocation . . . . . . . . . . . 167--184
         Boris G. Zaslavsky and   
              Alexander Moskvin   Numerical solution of positive control
                                  problem via linear programming . . . . . 185--199
           Terje O. Espelid and   
                      Alan Genz   DECUHR: an algorithm for automatic
                                  integration of singular functions over a
                                  hyperrectangular region  . . . . . . . . 201--220
                Yair Censor and   
                  Tommy Elfving   A multiprojection algorithm using
                                  Bregman projections in a product space   221--239
              Gene H. Golub and   
             Zden\vek Strako\vs   Estimates in quadratic formulas  . . . . 241--268
                 Kuiyuan Li and   
               Tien-Yien Li and   
                Zhong Gang Zeng   An algorithm for the generalized
                                  symmetric tridiagonal eigenvalue problem 269--291
       P. J. van der Houwen and   
            B. P. Sommeijer and   
             W. A. van der Veen   Parallelism across the steps in iterated
                                  Runge--Kutta methods for stiff initial
                                  value problems . . . . . . . . . . . . . 293--312
     Stanis\law Tokarzewski and   
       Jerzy B\lawzdziewicz and   
                 Igor Andrianov   Two-point Padé approximants for formal
                                  Stieltjes series . . . . . . . . . . . . 313--328
               Tony F. Chan and   
                        Jun Zou   Additive Schwarz domain decomposition
                                  methods for elliptic problems on
                                  unstructured meshes  . . . . . . . . . . 329--346
                    Daeshik Lee   Fast parallel solution of the Poisson
                                  equation on irregular domains  . . . . . 347--362


Numerical Algorithms
Volume 9, Number 1--2, May, 1995

                  Guo Liang Xue   On an open problem in spherical facility
                                  location . . . . . . . . . . . . . . . . 1--12
            Jack W. Rogers, Jr.   Potential transformation methods for
                                  large-scale constrained global
                                  optimization . . . . . . . . . . . . . . 13--24
         E. H. Kaufman, Jr. and   
              D. J. Leeming and   
                   G. D. Taylor   An ODE-based approach to nonlinearly
                                  constrained minimax problems . . . . . . 25--37
                J. C. Mason and   
                  G. H. Elliott   Constrained near-minimax approximation
                                  by weighted expansion and interpolation
                                  using Chebyshev polynomials of the
                                  second, third, and fourth kinds  . . . . 39--54
                   D. Healy and   
                   T. Olsen and   
                      J. Weaver   Reduced motion artifacts in medical
                                  imaging by adaptive spatio-temporal
                                  reconstruction . . . . . . . . . . . . . 55--84
            Ken W. Bosworth and   
                    Upmanu Lall   LOWLAD: a locally weighted ${L}_1$
                                  smoothing spline algorithm with cross
                                  validated choice of smoothing parameters 85--106
              David Gifford and   
                 Robert Huotari   Best ${L}_1$ approximation by convex
                                  functions  . . . . . . . . . . . . . . . 107--111
                David Levin and   
                  Edmond Nadler   Convexity preserving interpolation by
                                  algebraic curves and surfaces  . . . . . 113--139
                      Kang Zhao   Best interpolation in seminorm with
                                  convex constraints . . . . . . . . . . . 141--156
                   R. K. Wright   Spline fitting discontinuous functions
                                  given just a few Fourier coefficients    157--169
             H.-P. Helfrich and   
                       D. Zwick   Trust region algorithms for the
                                  nonlinear least distance problem . . . . 171--179

Numerical Algorithms
Volume 9, Number 3--4, 1995

                      Zi Cai Li   Splitting-integrating method for inverse
                                  transformation of $n$-dimensional
                                  digital images and patterns  . . . . . . 181--198
                Walter Gautschi   The work of Philip Rabinowitz on
                                  numerical integration  . . . . . . . . . 199--222
         Jean-Claude Yakoubsohn   A universal constant for the convergence
                                  of Newton's method and an application to
                                  the classical homotopy method  . . . . . 223--244
                Gabriele Steidl   On multivariate attenuation factors  . . 245--261
            Karin Willemans and   
                   Paul Dierckx   Nonnegative surface fitting with
                                  Powell--Sabin splines  . . . . . . . . . 263--276
                 C. K. Chui and   
                       T. X. He   Bivariate interpolatory rational splines 277--291
                 J. Prestin and   
                        E. Quak   Trigonometric interpolation and wavelet
                                  decompositions . . . . . . . . . . . . . 293--317
                  David Lee and   
          Henryk Wo\'zniakowski   Testing nonlinear operators  . . . . . . 319--342
                   R. G. Campos   A quadrature formula for the Hankel
                                  transform  . . . . . . . . . . . . . . . 343--354
               W. Krajewski and   
                 A. Lepschy and   
           M. Redivo Zaglia and   
                       U. Viaro   A program for solving the ${L}_2$
                                  reduced-order model problem with fixed
                                  denominator degree . . . . . . . . . . . 355--377
C. González-Concepción and   
   V. Cano Fernández and   
           C. Gil Fariña   The $\epsilon$-algorithm for the
                                  identification of a transfer-function
                                  model: some applications . . . . . . . . 379--395
               Tony F. Chan and   
                        Jun Zou   Erratum to: ``Additive Schwarz domain
                                  decomposition methods for elliptic
                                  problems on unstructured meshes''
                                  [Numer. Algorithms \bf 8 (1994), no.
                                  2--4, 329--346, MR 95i:65174]  . . . . . 397--397
                      Anonymous   Book reviews . . . . . . . . . . . . . . 399--406


Numerical Algorithms
Volume 10, Number 1--2, July, 1995

      Günter Baszenski and   
       Franz-Jürgen Delvos   Computational aspects of Boolean
                                  cubature . . . . . . . . . . . . . . . . 1--11
                  B. C. Carlson   Numerical computation of real or complex
                                  elliptic integrals . . . . . . . . . . . 13--26
                 Laura Gori and   
               Elisabetta Santi   On the evaluation of Hilbert transforms
                                  by means of a particular class of Turán
                                  quadrature rules . . . . . . . . . . . . 27--39
                   D. B. Hunter   The evaluation of Legendre functions of
                                  the second kind  . . . . . . . . . . . . 41--49
              Arieh Iserles and   
       Syvert P. Nòrsett   Explicit representations of biorthogonal
                                  polynomials  . . . . . . . . . . . . . . 51--67
                 Lisa Lorentzen   Computation of limit periodic continued
                                  fractions. A survey  . . . . . . . . . . 69--111
                 G. Mastroianni   Generalized Christoffel functions and
                                  error of positive quadrature . . . . . . 113--126
      Gradimir V. Milovanovi\'c   Summation of series and Gaussian
                                  quadratures. II  . . . . . . . . . . . . 127--136
             J. M. Montaner and   
                      M. Alfaro   On five-diagonal Toeplitz matrices and
                                  orthogonal polynomials on the unit
                                  circle . . . . . . . . . . . . . . . . . 137--153
          M. Morandi Cecchi and   
                     E. Pirozzi   A recursive algorithm by the moments
                                  method to evaluate a class of numerical
                                  integrals over an infinite interval  . . 155--165
            Sotirios E. Notaris   Stieltjes polynomials and Gauss--Kronrod
                                  quadrature formulae for measures induced
                                  by Chebyshev polynomials . . . . . . . . 167--186
                    Knut Petras   Gaussian integration of Chebyshev
                                  polynomials and analytic functions . . . 187--202

Numerical Algorithms
Volume 10, Number 3--4, October, 1995

    G\`erard L. G. Sleijpen and   
          Henk A. van der Vorst   Maintaining convergence properties of
                                  BiCGstab methods in finite precision
                                  arithmetic . . . . . . . . . . . . . . . 203--223
        Adam W. Boja\'nczyk and   
           Richard P. Brent and   
               Frank R. de Hoog   Stability analysis of a general Toeplitz
                                  systems solver . . . . . . . . . . . . . 225--244
                    Xiao Pu Yan   Multistep methods for differential
                                  algebraic equations  . . . . . . . . . . 245--260
    M. C. Bartholomew-Biggs and   
                     S. Zakovic   Using Markov's interval arithmetic to
                                  evaluate Bessel--Riccati functions . . . 261--287
           Adhemar Bultheel and   
                 Marc Van Barel   Formal orthogonal polynomials and
                                  Hankel/Toeplitz duality  . . . . . . . . 289--335
                  S. Paszkowski   Quasipower and hypergeometric
                                  series---construction and evaluation . . 337--361
                  S. H. Lui and   
                    G. H. Golub   Homotopy method for the numerical
                                  solution of the eigenvalue problem of
                                  self-adjoint partial differential
                                  operators  . . . . . . . . . . . . . . . 363--378
              Jaeyoung Choi and   
           Jack J. Dongarra and   
                David W. Walker   The design of a parallel dense linear
                                  algebra software library: reduction to
                                  Hessenberg, tridiagonal, and bidiagonal
                                  form . . . . . . . . . . . . . . . . . . 379--399
                    J. Levesley   Convolution kernels based on thin-plate
                                  splines  . . . . . . . . . . . . . . . . 401--419
                P. Ciarlini and   
                      F. Pavese   Erratum to ``Application of special
                                  reduction procedures to metrological
                                  data'' [Numer. Algorithms \bf 5 (1993),
                                  no. 1--4, 479--489]  . . . . . . . . . . 421--421


Numerical Algorithms
Volume 11, Number 1--4, March, 1996

            Bernhard Beckermann   The stable computation of formal
                                  orthogonal polynomials . . . . . . . . . 1--23
               C. Brezinski and   
                      P. Maroni   The algebra of linear functionals on
                                  polynomials, with applications to Padé
                                  approximation  . . . . . . . . . . . . . 25--33
               C. Brezinski and   
               M. Redivo-Zaglia   A look-ahead strategy for the
                                  implementation of some old and new
                                  extrapolation methods  . . . . . . . . . 35--55
                A. Bultheel and   
    P. González-Vera and   
              E. Hendriksen and   
               O. Njåstad   Orthogonal rational functions and
                                  modified approximants  . . . . . . . . . 57--69
                  J. C. Butcher   Orthogonal polynomials, Padé
                                  approximations and ${A}$-stability . . . 71--78
                D. Calvetti and   
                     L. Reichel   A hybrid iterative method for symmetric
                                  positive definite linear systems . . . . 79--98
       Jean-Marie Chesneaux and   
                   Ana C. Matos   Breakdown and near-breakdown control in
                                  the CGS algorithm using stochastic
                                  arithmetic . . . . . . . . . . . . . . . 99--116
      Cathleen M. Craviotto and   
           William B. Jones and   
                W. J. Thron and   
             Nancy J. Wyshinski   Computation of special functions by Padé
                                  approximants with orthogonal polynomial
                                  denominators . . . . . . . . . . . . . . 117--141
             André Draux   Formal orthogonal polynomials revisited.
                                  Applications . . . . . . . . . . . . . . 143--158
                     Nahid Emad   The Padé-Rayleigh--Ritz method for
                                  solving large Hermitian eigenproblems    159--179
              Bernd Fischer and   
               Martin Hanke and   
               Marlis Hochbruck   A note on conjugate-gradient type
                                  methods for indefinite and/or
                                  inconsistent linear systems  . . . . . . 181--187
            P. R. Graves-Morris   A new approach to acceleration of
                                  convergence of a sequence of vectors . . 189--201
                   Martin Hanke   Asymptotics of orthogonal polynomials
                                  and the numerical solution of ill-posed
                                  problems . . . . . . . . . . . . . . . . 203--214
                  Arieh Iserles   Biorthogonal polynomials: Recent
                                  developments . . . . . . . . . . . . . . 215--228
               Harry Kiesel and   
                       Jet Wimp   A note on Koornwinder's polynomials with
                                  weight function
                                  $(1-x)^\alpha(1+x)^\beta+{M}\delta(x+1)+{N}\delta(x-1)$  229--241
                      P. Maroni   On a regular form defined by a
                                  pseudo-function  . . . . . . . . . . . . 243--254
                   Ana C. Matos   Some convergence results for the
                                  generalized Padé-type approximants  . . . 255--269
              Giovanni Monegato   A stable Nyström interpolant for some
                                  Mellin convolution equations . . . . . . 271--283
          M. Morandi Cecchi and   
                    E. Di Nardo   The modified bordering method to
                                  evaluate eigenvalues and eigenvectors of
                                  normal matrices  . . . . . . . . . . . . 285--309
   Syvert P. Nòrsett and   
    Bente Òstigård   Dual-orthogonal polynomials  . . . . . . 311--326
                       A. Salam   An algebraic approach to the vector
                                  $\epsilon$-algorithm . . . . . . . . . . 327--337
      Jeannette Van Iseghem and   
         Peter R. Graves-Morris   Approximation of a function given by its
                                  Laurent series . . . . . . . . . . . . . 339--351


Numerical Algorithms
Volume 12, Number 1--2, April, 1996

               E. J. Grimme and   
             D. C. Sorensen and   
                  P. Van Dooren   Model reduction of state space systems
                                  via an implicitly restarted Lanczos
                                  method . . . . . . . . . . . . . . . . . 1--31
                K. Gallivan and   
                  E. Grimme and   
                  P. Van Dooren   A rational Lanczos algorithm for model
                                  reduction  . . . . . . . . . . . . . . . 33--63
                  M. Arioli and   
             H. Munthe-Kaas and   
                  L. Valdettaro   Componentwise error analysis for FFTs
                                  with applications to fast Helmholtz
                                  solvers  . . . . . . . . . . . . . . . . 65--88
                         K. Pan   On the method of finding frequencies
                                  with large amplitudes  . . . . . . . . . 89--96
                       Qiang Ye   An adaptive block Lanczos algorithm  . . 97--110
             Bernd Mulansky and   
              Jochen W. Schmidt   Constructive methods in convex ${C}^2$
                                  interpolation using quartic splines  . . 111--124
                D. Calvetti and   
                     L. Reichel   An adaptive Richardson iteration method
                                  for indefinite linear systems  . . . . . 125--149
                 Anke Gresbrand   Rational ${B}$-splines with prescribed
                                  poles  . . . . . . . . . . . . . . . . . 151--158
              Dganit Amitai and   
              Amir Averbuch and   
              Moshe Israeli and   
              Samuel Itzikowitz   On parallel asynchronous high-order
                                  solutions of parabolic PDEs  . . . . . . 159--192
            P. Ciarlet, Jr. and   
                      F. Lamour   On the validity of a front-oriented
                                  approach to partitioning large sparse
                                  graphs with a connectivity constraint    193--214
            Karin Willemans and   
                   Paul Dierckx   Smoothing scattered data with a monotone
                                  Powell--Sabin spline surface . . . . . . 215--232
            Charles H. Tong and   
                       Qiang Ye   A linear system solver based on a
                                  modified Krylov subspace method for
                                  breakdown recovery . . . . . . . . . . . 233--251

Numerical Algorithms
Volume 12, Number 3--4, July, 1996

               Allan J. MacLeod   Rational approximations, software and
                                  test methods for sine and cosine
                                  integrals  . . . . . . . . . . . . . . . 259--272
                      Yixun Shi   A globalization procedure for solving
                                  nonlinear systems of equations . . . . . 273--286
               Thomas Sauer and   
                        Yuan Xu   Regular points for Lagrange
                                  interpolation on the unit disk . . . . . 287--296
                  Wanzhen Huang   Heuristic solutions to polynomial moment
                                  problems with some convex entropic
                                  objectives . . . . . . . . . . . . . . . 297--308
       Andreas Karageorghis and   
               Marcin Paprzycki   An efficient direct method for fully
                                  conforming spectral collocation schemes  309--319
                    P. Witomski   Approximation of the capillarity problem
                                  by an augmented Lagrangian method  . . . 321--346
              Z. Jackiewicz and   
                    S. Tracogna   Variable stepsize continuous two-step
                                  Runge--Kutta methods for ordinary
                                  differential equations . . . . . . . . . 347--368
     Bo Kågström and   
                  Peter Poromaa   Computing eigenspaces with specified
                                  eigenvalues of a regular matrix pair $
                                  (A, B) $ and condition estimation:
                                  theory, algorithms and software  . . . . 369--407
               Bernard Beauzamy   Reconstructing a signal from the
                                  knowledge of the norms of its multiples  409--414


Numerical Algorithms
Volume 13, Number 1--2, 1996

         Takemitsu Hasegawa and   
                     Avram Sidi   An automatic integration procedure for
                                  infinite range integrals involving
                                  oscillatory kernels  . . . . . . . . . . 1--19
         Christine Thomas-Agnan   Computing a family of reproducing
                                  kernels for statistical applications . . 21--32
                  Daniel Hempel   Isotropic refinement and recoarsening in
                                  two dimensions . . . . . . . . . . . . . 33--43
             Brigida Molina and   
                  Marcos Raydan   Preconditioned Barzilai--Borwein method
                                  for the numerical solution of partial
                                  differential equations . . . . . . . . . 45--60
                  Alain Pietrus   A globally convergent method for solving
                                  nonlinear equations without the
                                  differentiability condition  . . . . . . 61--76
             Dietmar Hietel and   
            Andreas Meister and   
                   Thomas Sonar   On the comparison of four different
                                  implementations of a third-order ENO
                                  scheme of box type for the computation
                                  of compressible flow . . . . . . . . . . 77--105
                       M. Gugat   The Newton differential correction
                                  algorithm for rational Chebyshev
                                  approximation with constrained
                                  denominators . . . . . . . . . . . . . . 107--122
           Sowmini Varadhan and   
           Michael W. Berry and   
                  Gene H. Golub   Approximating dominant singular triplets
                                  of large sparse matrices via modified
                                  moments  . . . . . . . . . . . . . . . . 123--152

Numerical Algorithms
Volume 13, Number 3--4, 1996

                   Helmut Brass   On the quality of algorithms based on
                                  spline interpolation . . . . . . . . . . 159--177
              Dario Andrea Bini   Numerical computation of polynomial
                                  zeros by means of Aberth's method  . . . 179--200
            P. Ciarlet, Jr. and   
                      F. Lamour   Does contraction preserve triangular
                                  meshes?  . . . . . . . . . . . . . . . . 201--223
                      Zi-Cai Li   Analysis of discrete techniques for
                                  image transformation . . . . . . . . . . 225--263
               J.-C. Fiorot and   
                     P. Jeannin   A blossoming approach to accuracy of the
                                  degree elevation process . . . . . . . . 265--306
                 Thomas Hermann   On the stability of polynomial
                                  transformations between Taylor,
                                  Bernstein and Hermite forms  . . . . . . 307--320
                A. Bultheel and   
    P. González-Vera and   
              E. Hendriksen and   
               O. Njåstad   On the convergence of multipoint
                                  Padé-type approximants and quadrature
                                  formulas associated with the unit circle 321--344
             J. M. Carnicer and   
                  M. S. Floater   Piecewise linear interpolants to
                                  Lagrange and Hermite convex scattered
                                  data . . . . . . . . . . . . . . . . . . 345--364
               Tony F. Chan and   
                        Jun Zou   A convergence theory of multilevel
                                  additive Schwarz methods on unstructured
                                  meshes . . . . . . . . . . . . . . . . . 365--398
                   C. Brezinski   Book Reviews . . . . . . . . . . . . . . 399--404


Numerical Algorithms
Volume 14, Number 1--3, March, 1997

                 Luca Dieci and   
                  Don Estep and   
              Eric Van de Velde   Preface  . . . . . . . . . . . . . . . . 1--1
                  Uri M. Ascher   Stabilization of invariants of
                                  discretized differential systems . . . . 1--24
                 W.-J. Beyn and   
                J.-M. Kleinkauf   Numerical approximation of homoclinic
                                  chaos  . . . . . . . . . . . . . . . . . 25--53
            Brian A. Coomes and   
  Hüseyin Koçak and   
              Kenneth J. Palmer   Long periodic shadowing  . . . . . . . . 55--78
                 Luca Dieci and   
                    Jens Lorenz   Lyapunov-type numbers and torus
                                  breakdown: numerical aspects and a case
                                  study  . . . . . . . . . . . . . . . . . 79--102
               E. J. Doedel and   
             M. J. Friedman and   
                    B. I. Kunin   Successive continuation for locating
                                  connecting orbits  . . . . . . . . . . . 103--124
            Mark E. Johnson and   
           Michael S. Jolly and   
          Ioannis G. Kevrekidis   Two-dimensional invariant manifolds and
                                  global bifurcations: some approximation
                                  and visualization studies  . . . . . . . 125--140
           Peter E. Kloeden and   
     Björn Schmalfuß   Nonautonomous systems, cocycle
                                  attractors and variable time-step
                                  discretization . . . . . . . . . . . . . 141--152
                   Martin W. Lo   Libration point trajectory design  . . . 153--164
            Andrei A. Lyashenko   On the stability of the spectral
                                  Galerkin approximation . . . . . . . . . 165--178
              James C. Robinson   Convergent families of inertial
                                  manifolds for convergent approximations  179--188
                  Tony Shardlow   Inertial manifolds and linear multi-step
                                  methods  . . . . . . . . . . . . . . . . 189--209
                   M. W. Smiley   Numerical bifurcation and stability
                                  analysis for steady-states of reaction
                                  diffusion equations  . . . . . . . . . . 211--225
                   A. M. Stuart   Probabilistic and deterministic
                                  convergence proofs for software for
                                  initial value problems . . . . . . . . . 227--260
               Alexander Tovbis   Homoclinic connections and numerical
                                  integration  . . . . . . . . . . . . . . 261--267

Numerical Algorithms
Volume 14, Number 4, December, 1997

                      Zhilin Li   Immersed interface methods for moving
                                  interface problems . . . . . . . . . . . 269--293
                  Zhong-Zhi Bai   A class of two-stage iterative methods
                                  for systems of weakly nonlinear
                                  equations  . . . . . . . . . . . . . . . 295--319
         André Draux and   
                 Borhane Moalla   Rectangular matrix Padé approximants and
                                  square matrix orthogonal polynomials . . 321--341
           Abdelmalek Nigro and   
            Pierre-Jean Laurent   Progressive stable interpolation . . . . 343--359
    François Alouges and   
               Philippe Loreaux   Massively parallel preconditioners for
                                  symmetric positive definite linear
                                  systems  . . . . . . . . . . . . . . . . 361--375
                   Leif Kobbelt   Stable evaluation of box-splines . . . . 377--382
               Wayne Lawton and   
           Charles A. Micchelli   Construction of conjugate quadrature
                                  filters with specified zeros . . . . . . 383--399
                      Anonymous   Book reviews . . . . . . . . . . . . . . 401--403


Numerical Algorithms
Volume 15, Number 1, December, 1997

                    Ulrich Reif   Uniform B-spline approximation in
                                  Sobolev spaces . . . . . . . . . . . . . 1--14
                Robert Erra and   
               Bernard Philippe   On some structured inverse eigenvalue
                                  problems . . . . . . . . . . . . . . . . 15--35
          Ricardo D. Fierro and   
           Per Christian Hansen   Low-rank revealing UTV decompositions    37--55
          Dario Andrea Bini and   
                 Beatrice Meini   Improved cyclic reduction for solving
                                  queueing problems  . . . . . . . . . . . 57--74
                        M. Kzaz   Gaussian quadrature and acceleration of
                                  convergence  . . . . . . . . . . . . . . 75--89
                 Luca Gemignani   Chebyshev rational interpolation . . . . 91--110
                      C. Arnold   Formal continued fractions solutions of
                                  the generalized second order Riccati
                                  equations, applications  . . . . . . . . 111--134
               Claude Brezinski   Book reviews . . . . . . . . . . . . . . 135--137

Numerical Algorithms
Volume 15, Number 2, December, 1997

                 I. J. Anderson   A piecewise approach to piecewise
                                  approximation  . . . . . . . . . . . . . 139--152
                   Hans Strauss   On interpolation with products of
                                  positive definite functions  . . . . . . 153--165
      Celina Pestano-Gabino and   
Concepción González-Concepción   Matrix Padé approximation of rational
                                  functions  . . . . . . . . . . . . . . . 167--192
              Vasile Dragan and   
           Aristide Halanay and   
                  Adrian Stoica   Well-conditioned computation for
                                  $H^\infty$ controller near the optimum   193--206
                    N. M. Temme   Numerical algorithms for uniform
                                  Airy-type asymptotic expansions  . . . . 207--225
             Nicholas J. Higham   Stable iterations for the matrix square
                                  root . . . . . . . . . . . . . . . . . . 227--242
                   C. Brezinski   Book reviews . . . . . . . . . . . . . . 243--246

Numerical Algorithms
Volume 15, Number 3--4, January, 1997

            P. R. Graves-Morris   A ``look-around Lanczos'' algorithm for
                                  solving a system of linear equations . . 247--274
                   A. Benazzouz   Quasilinear sequence transformations . . 275--285
                A. Averbuch and   
                 L. Vozovoi and   
                     M. Israeli   On a fast direct elliptic solver by a
                                  modified Fourier method  . . . . . . . . 287--313
                    J. Bahi and   
              J. C. Miellou and   
                      K. Rhofir   Asynchronous multisplitting methods for
                                  nonlinear fixed point problems . . . . . 315--345
                  Zhong-Zhi Bai   Parallel multisplitting two-stage
                                  iterative methods for large sparse
                                  systems of weakly nonlinear equations    347--372
        Pierre-Jean Laurent and   
      Marie-Laurence Mazure and   
       Voichi\cta Teodora Maxim   Chebyshev splines and shape parameters   373--383
               Claude Brezinski   Book reviews . . . . . . . . . . . . . . 385--388


Numerical Algorithms
Volume 16, Number 1, December, 1997

    Guillaume Alléon and   
              Michele Benzi and   
                     Luc Giraud   Sparse approximate inverse
                                  preconditioning for dense linear systems
                                  arising in computational
                                  electromagnetics . . . . . . . . . . . . 1--15
              B. Dumitrescu and   
                M. Doreille and   
                 J.-L. Roch and   
                    D. Trystram   Two-dimensional block partitionings for
                                  the parallel sparse Cholesky
                                  factorization  . . . . . . . . . . . . . 17--38
             J. P. Gregoire and   
                    C. Rose and   
                      B. Thomas   Direct and iterative solvers for
                                  finite-element problems  . . . . . . . . 39--53
          Vincent Heuveline and   
           Bernard Philippe and   
                 Miloud Sadkane   Parallel computation of spectral
                                  portrait of large matrices by Davidson
                                  type methods . . . . . . . . . . . . . . 55--75
          Gérard Meurant   The computation of bounds for the norm
                                  of the error in the conjugate gradient
                                  algorithm  . . . . . . . . . . . . . . . 77--87

Numerical Algorithms
Volume 16, Number 2, December, 1997

                M. Mitrouli and   
                 C. Koukouvinos   On the computation of the Smith normal
                                  form of compound matrices  . . . . . . . 95--105
              W. H. Enright and   
                         Min Hu   Improving performance when solving
                                  high-order and mixed-order boundary
                                  value problems in ODEs . . . . . . . . . 107--116
              Relja Vulanovi\'c   Fourth order algorithms for a semilinear
                                  singular perturbation problem  . . . . . 117--128
                  Qiming He and   
                Lishan Kang and   
                    D. J. Evans   Convergence and stability of the finite
                                  difference scheme for nonlinear
                                  parabolic systems with time delay  . . . 129--153
                Tim Gutzmer and   
                     Armin Iske   Detection of discontinuities in
                                  scattered data approximation . . . . . . 155--170
                     Yves Lucet   Faster than the fast Legendre transform,
                                  the linear-time Legendre transform . . . 171--185
                  Luc Rebillard   Rational approximation in the complex
                                  plane using a $\tau$-method and computer
                                  algebra  . . . . . . . . . . . . . . . . 187--208
              J. C. Butcher and   
                P. Chartier and   
                  Z. Jackiewicz   Nordsieck representation of DIMSIMs  . . 209--230

Numerical Algorithms
Volume 16, Number 3--4, December, 1997

               Kai Diethelm and   
                     Guido Walz   Numerical solution of fractional order
                                  differential equations by extrapolation  231--253
            Rosemary Renaut and   
                          Yi Su   Evaluation of Chebyshev pseudospectral
                                  methods for third order differential
                                  equations  . . . . . . . . . . . . . . . 255--281
                 Milvia Rossini   Irregularity detection from noisy data
                                  in one and two dimensions  . . . . . . . 283--301
                    Sven Ehrich   Sard-optimal prefilters for the fast
                                  wavelet transform  . . . . . . . . . . . 303--319
               P. Verlinden and   
                D. M. Potts and   
                   J. N. Lyness   Error expansions for multidimensional
                                  trapezoidal rules with Sidi
                                  transformations  . . . . . . . . . . . . 321--347
              W. H. Enright and   
                     H. Hayashi   A delay differential equation solver
                                  based on a continuous Runge--Kutta
                                  method with defect control . . . . . . . 349--364
                     Xiu Ye and   
                Charles A. Hall   A discrete divergence-free basis for
                                  finite element methods . . . . . . . . . 365--380
               Claude Brezinski   Book reviews . . . . . . . . . . . . . . 381--382


Numerical Algorithms
Volume 17, Number 1--2, March, 1998

                Jean Piquet and   
                 Xavier Vasseur   Multigrid preconditioned Krylov subspace
                                  methods for three-dimensional numerical
                                  solutions of the incompressible
                                  Navier--Stokes equations . . . . . . . . 1--32
                  D. E. Roberts   A vector Chebyshev algorithm . . . . . . 33--50
               Tony F. Chan and   
          Lisette de Pillis and   
             Henk van der Vorst   Transpose-free formulations of
                                  Lanczos-type methods for nonsymmetric
                                  linear systems . . . . . . . . . . . . . 51--66
               C. Brezinski and   
               M. Redivo-Zaglia   Transpose-free Lanczos-type algorithms
                                  for nonsymmetric linear systems  . . . . 67--103
              Faezeh Toutounian   The stable $A^{\ssf T}A$-orthogonal
                                  $s$-step ${\rm Orthomin}(k)$ algorithm
                                  with the CADNA library . . . . . . . . . 105--119
              J. C. Butcher and   
              M. T. Diamantakis   DESIRE: diagonally extended singly
                                  implicit Runge--Kutta effective order
                                  methods  . . . . . . . . . . . . . . . . 121--145
                Frauke Sprengel   Periodic interpolation and wavelets on
                                  sparse grids . . . . . . . . . . . . . . 147--169
                  Vu Hoang Linh   On some questions arising in numerical
                                  realization of amplitude-phase methods   171--191

Numerical Algorithms
Volume 17, Number 3--4, September, 1998

                  J. C. Butcher   ARK methods up to order five . . . . . . 193--221
          Herbert H. H. Homeier   On the stability of the ${\scr J}$
                                  transformation . . . . . . . . . . . . . 223--239
              J. W. Schmidt and   
             M. Bastian-Walther   Algorithm for constructing range
                                  restricted histosplines  . . . . . . . . 241--260
        Vishwani D. Agrawal and   
                  David Lee and   
          Henryk Wo\'zniakowski   Numerical computation of characteristic
                                  polynomials of Boolean functions and its
                                  applications . . . . . . . . . . . . . . 261--278
              Christian Rey and   
                  Franck Risler   A Rayleigh--Ritz preconditioner for the
                                  iterative solution to large scale
                                  nonlinear problems . . . . . . . . . . . 279--311
      Miodrag S. Petkovi\'c and   
       \Dbaror\dbare Herceg and   
               Sne\vzana Ili\'c   Safe convergence of simultaneous methods
                                  for polynomial zeros . . . . . . . . . . 313--331
                N. Mansouri and   
          J. P. Kernévez   Estimation of parameters in nonlinear
                                  problems . . . . . . . . . . . . . . . . 333--343
            G. Papageorgiou and   
             I. Th. Famelis and   
                  Ch. Tsitouras   A $P$-stable singly diagonally implicit
                                  Runge--Kutta--Nyström method  . . . . . . 345--353
               Alexander Tovbis   Erratum: ``Homoclinic connections and
                                  numerical integration'' [Numer.
                                  Algorithms \bf 14 (1997), no. 1,
                                  261--267; MR 98c:58153]  . . . . . . . . 355--355
                      Anonymous   Book reviews . . . . . . . . . . . . . . 357--358


Numerical Algorithms
Volume 18, Number 1, September, 1998

          Herbert H. H. Homeier   An asymptotically hierarchy-consistent,
                                  iterative sequence transformation for
                                  convergence acceleration of Fourier
                                  series . . . . . . . . . . . . . . . . . 1--30
          Gorik De Samblanx and   
               Adhemar Bultheel   Nested Lanczos: Implicitly restarting an
                                  unsymmetric Lanczos algorithm  . . . . . 31--50
            Z. Bartoszewski and   
                  Z. Jackiewicz   Construction of two-step Runge--Kutta
                                  methods of high order for ordinary
                                  differential equations . . . . . . . . . 51--70
             M. O. Bristeau and   
                       J. Erhel   Augmented conjugate gradient.
                                  Application in an iterative process for
                                  the solution of scattering problems  . . 71--90
              Birkett Huber and   
                 Jan Verschelde   Polyhedral end games for polynomial
                                  continuation . . . . . . . . . . . . . . 91--108
                      Anonymous   Book reviews . . . . . . . . . . . . . . 109--112

Numerical Algorithms
Volume 18, Number 2, September, 1998

                 Avram Sidi and   
                   Yair Shapira   Upper bounds for convergence rates of
                                  acceleration methods with initial
                                  iterations . . . . . . . . . . . . . . . 113--132
              Prabir Daripa and   
                   Daoud Mashat   Singular integral transforms and fast
                                  numerical algorithms . . . . . . . . . . 133--157
              Prabir Daripa and   
                   Daoud Mashat   An efficient and novel numerical method
                                  for quasiconformal mappings of doubly
                                  connected domains  . . . . . . . . . . . 159--175
Ubaldo M. García-Palomares and   
Francisco J. González-Castaño   Incomplete projection algorithms for
                                  solving the convex feasibility problem   177--193
                Ilan Bar-On and   
               Marcin Paprzycki   High performance solution of the complex
                                  symmetric eigenproblem . . . . . . . . . 195--208

Numerical Algorithms
Volume 18, Number 3--4, September, 1998

            Thomas Gerstner and   
                Michael Griebel   Numerical integration using sparse grids 209--232
       P. J. van der Houwen and   
                     E. Messina   Splitting methods for second-order
                                  initial value problems . . . . . . . . . 233--257
                  Javier Segura   A global Newton method for the zeros of
                                  cylinder functions . . . . . . . . . . . 259--276
                 Azeddine Essai   Weighted FOM and GMRES for solving
                                  nonsymmetric linear systems  . . . . . . 277--292
               K. A. Ariyawansa   Local convergence of collinear scaling
                                  algorithms related to direct
                                  least-change secant update methods for
                                  minimization . . . . . . . . . . . . . . 293--320
           Magne S. Espedal and   
              Xue-Cheng Tai and   
                   Ningning Yan   A hybrid nonoverlapping domain
                                  decomposition scheme for advection
                                  dominated advection-diffusion problems   321--336
              Martin Stynes and   
                   Lutz Tobiska   A finite difference analysis of a
                                  streamline diffusion method on a
                                  Shishkin mesh  . . . . . . . . . . . . . 337--360
                Ilan Bar-On and   
                 Mauro Leoncini   Stable solution of tridiagonal systems   361--388
                      Anonymous   Book reviews . . . . . . . . . . . . . . 385--388


Numerical Algorithms
Volume 19, Number 1--4, September, 1998

                      Anonymous   Preface  . . . . . . . . . . . . . . . . 0--0
          Christian Alscher and   
          Wolf-Jürgen Beyn   Simulating the motion of the leech: a
                                  biomechanical application of DAEs  . . . 1--12
           Pierluigi Amodio and   
               Francesca Mazzia   An algorithm for the computation of
                                  consistent initial values for
                                  differential-algebraic equations . . . . 13--23
              Martin Arnold and   
                    Ander Murua   Non-stiff integrators for
                                  differential-algebraic systems of index
                                  $2$  . . . . . . . . . . . . . . . . . . 25--41
                R. E. Beardmore   Stability and bifurcation properties of
                                  index-$1$ DAEs . . . . . . . . . . . . . 43--53
            Stephen D. Bond and   
         Benedict J. Leimkuhler   Time-transformations for reversible
                                  variable stepsize integration  . . . . . 55--71
             S. L. Campbell and   
              R. Hollenbeck and   
                 K. Yeomans and   
                       Y. Zhong   Mixed symbolic-numerical computations
                                  with general DAEs. I. System properties  73--83
        Stephen L. Campbell and   
             Wies\law Marszalek   Mixed symbolic-numerical computations
                                  with general DAEs. II. An applications
                                  case study . . . . . . . . . . . . . . . 85--94
                 Astrid Holstad   Modelling subsurface coupled chemical
                                  reactions and fluid flow over long time
                                  periods  . . . . . . . . . . . . . . . . 95--110
            C. P. Jeannerod and   
                    J. Visconti   Global error estimation for index-$1$
                                  and -$2$ DAEs  . . . . . . . . . . . . . 111--125
                      G. Le Vey   Some remarks on solvability and various
                                  indices for implicit differential
                                  equations  . . . . . . . . . . . . . . . 127--145
              Y. O. Macutan and   
                      G. Thomas   Theory of formal integrability and DAEs:
                                  Effective computations . . . . . . . . . 147--157
          R. M. M. Mattheij and   
          P. M. E. J. Wijckmans   Sensitivity of solutions of linear DAE
                                  to perturbations of the system matrices  159--171
               Christian Penski   A numerical scheme for highly
                                  oscillatory DAEs and its application to
                                  circuit simulation . . . . . . . . . . . 173--181
                   D. Pogorelov   Differential-algebraic equations in
                                  multibody system modeling  . . . . . . . 183--194
                    J. D. Pryce   Solving high-index DAEs by Taylor series 195--211
                Sebastian Reich   Modified potential energy functions for
                                  constrained molecular dynamics . . . . . 213--221
               Werner M. Seiler   Position versus momentum projections for
                                  constrained Hamiltonian systems  . . . . 223--234
                      B. Simeon   DAEs and PDEs in elastic multibody
                                  systems  . . . . . . . . . . . . . . . . 235--246
                  Jukka Tuomela   On the resolution of singularities of
                                  ordinary differential systems  . . . . . 247--259
                      Anonymous   DAE '97 participants . . . . . . . . . . 261--264


Numerical Algorithms
Volume 20, Number 1, March, 1999

                   Robert Plato   The conjugate gradient method for linear
                                  ill-posed problems with operator
                                  perturbations  . . . . . . . . . . . . . 1--22
          M. Prévost and   
                    D. Vekemans   Partial Padé prediction . . . . . . . . . 23--50
                 Safya Belghith   Symbolic and numerical analysis for
                                  studying complex nonlinear behavior  . . 51--61
                  P. Favati and   
                   G. Lotti and   
                  O. Menchi and   
                      F. Romani   An infinite precision bracketing
                                  algorithm with guaranteed convergence    63--73
               Peter Benner and   
Enrique S. Quintana-Ortí   Solving stable generalized Lyapunov
                                  equations with the matrix sign function  75--100
                      Anonymous   Book reviews . . . . . . . . . . . . . . 101--105

Numerical Algorithms
Volume 20, Number 2--3, June, 1999

               M. Redivo-Zaglia   Preface  . . . . . . . . . . . . . . . . 0--0
               M. Redivo-Zaglia   The software library numeralgo . . . . . 107--116
             Jochen Alberty and   
         Carsten Carstensen and   
               Stefan A. Funken   Remarks around 50 lines of Matlab: short
                                  finite element implementation  . . . . . 117--137
          Zélia da Rocha   Shohat--Favard and Chebyshev's methods
                                  in $d$-orthogonality . . . . . . . . . . 139--164
          Ricardo D. Fierro and   
       Per Christian Hansen and   
 Peter Sòren Kirk Hansen   UTV Tools: Matlab templates for
                                  rank-revealing UTV decompositions  . . . 165--194
           Per Christian Hansen   Regularization Tools Version 3.0 for
                                  Matlab 5.2 . . . . . . . . . . . . . . . 195--196
          M. Morandi Cecchi and   
               S. De Marchi and   
                      D. Fasoli   A package for representing C1
                                  interpolating surfaces: Application to
                                  the lagoon of Venice's bed . . . . . . . 197--215
             Miloud Sadkane and   
                 Roger B. Sidje   Implementation of a variable block
                                  Davidson method with deflation for
                                  solving large sparse eigenproblems . . . 217--240
                 F. Stenger and   
      S.-Å. Gustafson and   
                   B. Keyes and   
                M. O'Reilly and   
                      K. Parker   ODE-IVP-PACK via Sinc indefinite
                                  integration and Newton's method  . . . . 241--268

Numerical Algorithms
Volume 20, Number 4, December, 1999

              J. C. Butcher and   
                    P. Chartier   The effective order of singly-implicit
                                  Runge--Kutta methods . . . . . . . . . . 269--284
              Nicholas J. Daras   Rational approximation to harmonic
                                  functions  . . . . . . . . . . . . . . . 285--301
                       H. Sadok   CMRH: a new method for solving
                                  nonsymmetric linear systems based on the
                                  Hessenberg reduction algorithm . . . . . 303--321
          Dario Andrea Bini and   
            Giuseppe Fiorentino   On the parallel evaluation of a sparse
                                  polynomial at a point  . . . . . . . . . 323--329
              Kyle Gallivan and   
                Paul Van Dooren   Rational approximations of pre-filtered
                                  transfer functions via the Lanczos
                                  algorithm  . . . . . . . . . . . . . . . 331--342
               E. Spedicato and   
                         M. Zhu   A generalization of the implicit LU
                                  algorithm to an arbitrary initial matrix 343--351
           Alain Piétrus   Solving triangular algebraic systems by
                                  means of simultaneous iterations . . . . 353--368
              Stefan Paszkowski   The Bloch--Grüneisen integrals. Some
                                  analytic expressions . . . . . . . . . . 369--378
                      Anonymous   Book reviews . . . . . . . . . . . . . . 379--382


Numerical Algorithms
Volume 21, Number 1--4, December, 1999

                      Anonymous   Preface  . . . . . . . . . . . . . . . . 0--0
                 S. Amraoui and   
               S. Lalaoui Rhali   Retarded functional differential
                                  equations with nondense domain operators 1--8
                   A. Anane and   
                O. Chakrone and   
                   Z. El Allali   First order spectrum for elliptic system
                                  and nonresonance problem . . . . . . . . 9--21
                   Owe Axelsson   Stabilization of algebraic multilevel
                                  iteration methods: additive methods  . . 23--47
                J. Baranger and   
                D. Esslaoui and   
                    A. Machmoum   Error estimate for convection problem
                                  with characteristics method  . . . . . . 49--56
           Saâd Benbachir   Symbolic research of the periodic
                                  solutions of the nonintegrable
                                  Hamiltonian system of Ollongren  . . . . 57--77
                  A. H. Bentbib   Conjugate directions method for solving
                                  interval linear systems  . . . . . . . . 79--86
                 Zsolt Biro and   
                   Maria Vicsek   Numerical interface curves for some
                                  nonlinear diffusion equations  . . . . . 87--96
                   C. Brezinski   Krylov subspace methods, biorthogonal
                                  polynomials and Padé-type approximants    97--107
                D. Calvetti and   
                     L. Reichel   A block-Lanczos method for large
                                  continuation problems  . . . . . . . . . 109--118
              Jen-Yuan Chen and   
           David R. Kincaid and   
                 David M. Young   Generalizations and modifications of the
                                  GMRES iterative method . . . . . . . . . 119--146
               Kathy Driver and   
                    Peter Duren   Asymptotic zero distribution of
                                  hypergeometric polynomials . . . . . . . 147--156
Ubaldo M. García-Palomares   Preconditioning projection methods for
                                  solving algebraic linear systems . . . . 157--164
        C. Gáspár   Multigrid technique for biharmonic
                                  interpolation with application to dual
                                  and multiple reciprocity method  . . . . 165--183
Concepción González-Concepción and   
          Celina Pestano-Gabino   Approximated solutions in rational form
                                  for systems of differential equations    185--203
        P. R. Graves-Morris and   
                       A. Salam   Avoiding breakdown in Van der Vorst's
                                  method . . . . . . . . . . . . . . . . . 205--223
                     M. Heyouni   Newton Generalized Hessenberg method for
                                  solving nonlinear systems of equations   225--246
               M. Jourhmane and   
                    A. Nachaoui   An alternating method for an inverse
                                  Cauchy problem . . . . . . . . . . . . . 247--260
               C. Le Calvez and   
                      B. Molina   Implicitly restarted and deflated GMRES  261--285
              Jilali Mikram and   
                   Fouad Zinoun   Computation of normal forms of
                                  Hamiltonian systems in the presence of
                                  Poisson commuting integrals  . . . . . . 287--310
          M. Morandi Cecchi and   
                    F. Marcuzzi   An approximate waves-bordering algorithm
                                  for adaptive finite elements analysis    311--322
            Abdeljalil Nachaoui   Iterative solution of the
                                  drift--diffusion equations . . . . . . . 323--341
              Abderrahim Ouazzi   A mixed formulation of the Stokes
                                  equation in terms of $(w,p,u)$ . . . . . 343--352
       Rosa Maria Spitaleri and   
             Riccardo March and   
                  Daniele Arena   Finite difference solution of Euler
                                  equations arising in variational image
                                  segmentation . . . . . . . . . . . . . . 353--365
             Mohamed Wakrim and   
              Fattehallah Ghadi   On some three-field mixed systems  . . . 367--375
                       Jet Wimp   Connection coefficients, orthogonal
                                  polynomials and the WZ-algorithms  . . . 377--386
               Harry Yserentant   Coarse grid spaces for domains with a
                                  complicated boundary . . . . . . . . . . 387--392
                      Anonymous   List of participants . . . . . . . . . . 393--396


Numerical Algorithms
Volume 22, Number 1, December, 1999

              Bernd Fischer and   
                Jan Modersitzki   Fast inversion of matrices arising in
                                  image processing . . . . . . . . . . . . 1--11
              Victor Y. Pan and   
                  Elliot Linzer   Bisection acceleration for the symmetric
                                  tridiagonal eigenvalue problem . . . . . 13--39
                  E. Mainar and   
              J. M. Peña   Error analysis of corner cutting
                                  algorithms . . . . . . . . . . . . . . . 41--52
                Damiana Lazzaro   Biorthogonal $M$-band filter
                                  construction using the lifting scheme    53--72
                 C. Clavero and   
               J. L. Gracia and   
                     F. Lisbona   High order methods on Shishkin meshes
                                  for singular perturbation problems of
                                  convection--diffusion type . . . . . . . 73--97
              Mehiddin Al-Baali   Improved Hessian approximations for the
                                  limited memory BFGS method . . . . . . . 99--112

Numerical Algorithms
Volume 22, Number 2, December, 1999

              C. G. Broyden and   
                      P. Foschi   Duality in conjugate gradient methods    113--128
                V. Sirotkin and   
                   P. Tarvainen   Parallel two-level Schwarz methods for
                                  singularly perturbed elliptic problems   129--156
              Alan M. Cohen and   
                    David Levin   Accelerating infinite products . . . . . 157--165
                 Chang-New Chen   Generalization of differential
                                  quadrature discretization  . . . . . . . 167--182
               Pierre Verlinden   Stable rational modification of a weight 183--192
                       L. Smoch   Some results about GMRES in the singular
                                  case . . . . . . . . . . . . . . . . . . 193--212
               Guoting Chen and   
                Jean Della Dora   Normal forms for differentiable maps
                                  near a fixed point . . . . . . . . . . . 213--230
                      Anonymous   Book reviews . . . . . . . . . . . . . . 231--235

Numerical Algorithms
Volume 22, Number 3--4, December, 1999

              J. C. Butcher and   
                P. Chartier and   
                  Z. Jackiewicz   Experiments with a variable-order type
                                  $1$ DIMSIM code  . . . . . . . . . . . . 237--261
           Carsten R. Maple and   
                 Marco Marletta   Solving Hamiltonian systems arising from
                                  ODE eigenproblems  . . . . . . . . . . . 263--284
          Marie-Laurence Mazure   Bernstein bases in Müntz spaces . . . . . 285--304
         Manuel A. Gómez   An $O(n^2)$ active set algorithm for the
                                  solution of a parametric quadratic
                                  program  . . . . . . . . . . . . . . . . 305--316
               G. Mühlbach   A recurrence relation for generalized
                                  divided differences with respect to
                                  ECT-systems  . . . . . . . . . . . . . . 317--326
           Ricardo Celorrio and   
         Francisco-Javier Sayas   Full collocation methods for some
                                  boundary integral equations  . . . . . . 327--351
          Gérard Meurant   Numerical experiments in computing
                                  bounds for the norm of the error in the
                                  preconditioned conjugate gradient
                                  algorithm  . . . . . . . . . . . . . . . 353--365
                C.-S. Chien and   
                 H.-S. Chou and   
                     B.-W. Jeng   A continuation--domain decomposition
                                  algorithm for bifurcation problems . . . 367--383
                      Anonymous   Book reviews . . . . . . . . . . . . . . 385--388


Numerical Algorithms
Volume 23, Number 1, March, 2000

              Franck Risler and   
                  Christian Rey   Iterative accelerating algorithms with
                                  Krylov subspaces for the solution to
                                  large-scale nonlinear problems . . . . . 1--30
      Stanis\law Lewanowicz and   
              Eduardo Godoy and   
           Iván Area and   
      André Ronveaux and   
                Alejandro Zarzo   Recurrence relations for the
                                  coefficients of the Fourier series
                                  expansions with respect to $q$-classical
                                  orthogonal polynomials . . . . . . . . . 31--50
Mardochée Magolu monga Made and   
                     Ben Polman   Experimental comparison of
                                  three-dimensional point and line
                                  modified incomplete factorizations . . . 51--70
            Leonardo Borges and   
                  Prabir Daripa   A parallel version of a fast algorithm
                                  for singular integral transforms . . . . 71--96
                   M. Calvo and   
   S. González-Pinto and   
                J. I. Montijano   On the iterative solution of the
                                  algebraic equations in fully implicit
                                  Runge--Kutta methods . . . . . . . . . . 97--113
             M. G. de Bruin and   
              H. P. Dikshit and   
                      A. Sharma   Birkhoff interpolation on unity and on
                                  Möbius transform of the roots of unity    115--125

Numerical Algorithms
Volume 23, Number 2--3, June, 2000

          Dario Andrea Bini and   
            Giuseppe Fiorentino   Design, analysis, and implementation of
                                  a multiprecision polynomial rootfinder   127--173
        Francesc Ar\`andiga and   
                     Rosa Donat   Nonlinear multiscale decompositions: the
                                  approach of A. Harten  . . . . . . . . . 175--216
            M. I. Karavelas and   
                   P. D. Kaklis   Spatial shape-preserving interpolation
                                  using $\nu$-splines  . . . . . . . . . . 217--250
              Marek A. Kowalski   Sensitivity of best recovery in the
                                  Sobolev spaces $W^{r,d}_\infty$,
                                  $\widetilde{W}^{r,d}_\infty$ for
                                  perturbed sampling . . . . . . . . . . . 251--261
          Dominique Apprato and   
                 Christian Gout   A result about scale transformation
                                  families in approximation: application
                                  to surface fitting from rapidly varying
                                  data . . . . . . . . . . . . . . . . . . 263--279
               Claude Brezinski   Book reviews . . . . . . . . . . . . . . 281--284

Numerical Algorithms
Volume 23, Number 4, December, 2000

            Charles K. Chui and   
               Ming-Jun Lai and   
                   Jian-ao Lian   Algorithms for $G^1$ connection of
                                  multiple parametric bicubic NURBS
                                  surfaces . . . . . . . . . . . . . . . . 285--313
           Jean-Paul Berrut and   
             Hans D. Mittelmann   Rational interpolation through the
                                  optimal attachment of poles to the
                                  interpolating polynomial . . . . . . . . 315--328
               S. Bacchelli and   
                M. Cotronei and   
                     D. Lazzaro   An algebraic construction of
                                  $k$-balanced multiwavelets via the
                                  lifting scheme . . . . . . . . . . . . . 329--356
        Immaculada Higueras and   
              Teo Roldán   Starting algorithms for some DIRK
                                  methods  . . . . . . . . . . . . . . . . 357--369
        Philippe Lemmerling and   
         Nicola Mastronardi and   
              Sabine Van Huffel   Fast algorithm for solving the
                                  Hankel/Toeplitz Structured Total Least
                                  Squares problem  . . . . . . . . . . . . 371--392
                    Lei Han and   
              G. W. Wasilkowski   A new optimal algorithm for weighted
                                  approximation and integration over ${\bf
                                  R}$  . . . . . . . . . . . . . . . . . . 393--406
                      Anonymous   Book reviews . . . . . . . . . . . . . . 407--408


Numerical Algorithms
Volume 24, Number 1--2, December, 2000

         Brahim Benouahmane and   
                     Annie Cuyt   Multivariate orthogonal polynomials,
                                  homogeneous Padé approximants and
                                  Gaussian cubature  . . . . . . . . . . . 1--15
               Jean-Paul Berrut   A matrix for determining lower
                                  complexity barycentric representations
                                  of rational interpolants . . . . . . . . 17--29
             André Draux   Improvement of the formal and numerical
                                  estimation of the constant in some
                                  Markov--Bernstein inequalities . . . . . 31--58
               Bahman Kalantari   New formulas for approximation of $\pi$
                                  and other transcendental numbers . . . . 59--81
        Ekatharine A. Karatsuba   On the computation of the Euler constant
                                  $\gamma$ . . . . . . . . . . . . . . . . 83--97
             Peter Kravanja and   
                 Marc Van Barel   Coupled Vandermonde matrices and the
                                  superfast computation of Toeplitz
                                  determinants . . . . . . . . . . . . . . 99--116
         Alphonse P. Magnus and   
                  Jean Meinguet   The elliptic functions and integrals of
                                  the ``$1/9$'' problem  . . . . . . . . . 117--139
                Jieqing Tan and   
                        Yi Fang   Newton--Thiele's rational interpolants   141--157
          J. A. C. Weideman and   
                   D. P. Laurie   Quadrature rules based on partial
                                  fraction expansions  . . . . . . . . . . 159--178
                       Jet Wimp   Hankel determinants of some polynomials
                                  arising in combinatorial analysis  . . . 179--193

Numerical Algorithms
Volume 24, Number 3, September, 2000

     Bo Kågström and   
                  Petter Wiberg   Extracting partial canonical structure
                                  for large scale eigenvalue problems  . . 195--237
            Robert Schaback and   
                Holger Wendland   Adaptive greedy techniques for
                                  approximate solution of large RBF
                                  systems  . . . . . . . . . . . . . . . . 239--254
                  P. Favati and   
                   G. Lotti and   
                  O. Menchi and   
                      F. Romani   Separable asymptotic cost of evaluating
                                  elementary functions . . . . . . . . . . 255--274
               Knut-Andreas Lie   Front tracking for one-dimensional
                                  quasilinear hyperbolic equations with
                                  variable coefficients  . . . . . . . . . 275--298
        Jürgen Müller   Series expansions for computing Bessel
                                  functions of variable order on bounded
                                  intervals  . . . . . . . . . . . . . . . 299--308

Numerical Algorithms
Volume 24, Number 4, December, 2000

                P. Chartier and   
                    B. Philippe   Preface  . . . . . . . . . . . . . . . . 0--0
            G. Carré and   
                     S. Lanteri   Parallel linear multigrid by
                                  agglomeration for the acceleration of
                                  $3$D compressible flow calculations on
                                  unstructured meshes  . . . . . . . . . . 309--332
                Jean Piquet and   
                 Xavier Vasseur   A nonstandard multigrid method with
                                  flexible multiple semicoarsening for the
                                  numerical solution of the pressure
                                  equation in a Navier--Stokes solver  . . 333--355
                Pascal Joly and   
                  Roland Masson   Wavelet preconditioning of the Stokes
                                  problem in $\psi$-$\omega$ formulation   357--369
               David Goudin and   
        Pascal Hénon and   
 François Pellegrini and   
               Pierre Ramet and   
                 Jean Roman and   
     Jean-Jacques Pesqué   Parallel sparse linear algebra and
                                  application to structural mechanics  . . 371--391
            Olivier Coulaud and   
            Pierre-Eric Bernard   Parallel constrained molecular dynamics  393--405


Numerical Algorithms
Volume 25, Number 1--4, September, 2000

                      Anonymous   Publisher's Announcement . . . . . . . . 1--1
               Owe Axelsson and   
                   Igor Kaporin   On the sublinear and superlinear rate of
                                  convergence of conjugate gradient
                                  methods  . . . . . . . . . . . . . . . . 1--22
                      Anonymous   Preface  . . . . . . . . . . . . . . . . 11--14
                      Anonymous   Reminiscences of Richard S. Varga  . . . 15--16
                     J. Baglama   Dealing with linear dependence during
                                  the iterations of the restarted block
                                  Lanczos methods  . . . . . . . . . . . . 23--36
                 Adi Ben-Israel   A local inverse for nonlinear mappings   37--46
              M. A. Bokhari and   
              H. P. Dikshit and   
                      A. Sharma   Birkhoff interpolation on some perturbed
                                  roots of unity: revisited  . . . . . . . 47--62
                   C. Brezinski   Acceleration procedures for matrix
                                  iterative methods  . . . . . . . . . . . 63--73
                D. Calvetti and   
                  S. Morigi and   
                 L. Reichel and   
                    F. Sgallari   Computable error bounds and estimates
                                  for the conjugate gradient method  . . . 75--88
                D. Calvetti and   
                  S. Morigi and   
                 L. Reichel and   
                    F. Sgallari   An $L$-ribbon for large underdetermined
                                  linear discrete ill-posed problems . . . 89--107
             George Csordas and   
            Dimitar K. Dimitrov   Conjectures and theorems in the theory
                                  of entire functions  . . . . . . . . . . 109--122
         Marcel G. de Bruin and   
                      A. Sharma   Birkhoff interpolation on non-uniformly
                                  distributed roots of unity . . . . . . . 123--138
           Vladimir Druskin and   
             Leonid Knizhnerman   Gaussian spectral rules for second order
                                  finite-difference schemes  . . . . . . . 139--159
                Oliver G. Ernst   Equivalent iterative methods for
                                  $p$-cyclic matrices  . . . . . . . . . . 161--180
       Gregory E. Fasshauer and   
    Eugene C. Gartland, Jr. and   
               Joseph W. Jerome   Newton iteration for partial
                                  differential equations and the
                                  approximation of the identity  . . . . . 181--195
       Harald Frankenberger and   
                   Martin Hanke   Kernel polynomials for the solution of
                                  indefinite and ill-posed problems  . . . 197--212
                Walter Gautschi   High-order Gauss--Lobatto formulae . . . 213--222
              Gene H. Golub and   
           Denis Vanderstraeten   On the preconditioning of matrices with
                                  skew-symmetric splittings  . . . . . . . 223--239
                     Xin Li and   
           Charles A. Micchelli   Approximation by radial bases and neural
                                  networks . . . . . . . . . . . . . . . . 241--262
             Wilhelm Niethammer   Old and new from SOR . . . . . . . . . . 263--277
             Timothy S. Norfolk   Asymptotics of the partial sums of a set
                                  of integral transforms . . . . . . . . . 279--291
                  A. M. Odlyzko   An improved bound for the de
                                  Bruijn--Newman constant  . . . . . . . . 293--303
            V. A. Prokhorov and   
                     E. B. Saff   On meromorphic approximation . . . . . . 305--321
    Stefano Serra-Capizzano and   
        Cristina Tablino-Possio   Constructive techniques for
                                  approximating collocation linear systems 323--339
                Boris Shekhtman   On the density principle for rational
                                  functions  . . . . . . . . . . . . . . . 341--346
            Daniel B. Szyld and   
                    Jian-Jun Xu   Convergence of some asynchronous
                                  nonlinear multisplitting methods . . . . 347--361
           Richard S. Varga and   
              Amos J. Carpenter   Zeros of the partial sums of $\cos(z)$
                                  and $\sin(z)$. I . . . . . . . . . . . . 363--375
                  Heinrich Voss   A symmetry exploiting Lanczos method for
                                  symmetric Toeplitz matrices  . . . . . . 377--385
              Weichung Wang and   
              Dianne P. O'Leary   Adaptive use of iterative methods in
                                  predictor--corrector interior point
                                  methods for linear programming . . . . . 387--406


Numerical Algorithms
Volume 26, Number 1, January, 2001

               K. A. Driver and   
                     A. D. Love   Products of hypergeometric functions and
                                  the zeros of ${}_4F_3$ polynomials . . . 1--9
              Plamen Y. Yalamov   Improvement of some bounds on the
                                  stability of fast Helmholtz solvers  . . 11--20
                 A. Mazroui and   
                      D. Sbibih   Existence and construction of
                                  $\Delta_1$-splines of class $C^k$ on a
                                  three-directional mesh . . . . . . . . . 21--48
Diana Estévez Schwarz and   
             René Lamour   The computation of consistent initial
                                  values for nonlinear index-$2$
                                  differential-algebraic equations . . . . 49--75
          Tobin A. Driscoll and   
                 Bengt Fornberg   A Padé-based algorithm for overcoming the
                                  Gibbs phenomenon . . . . . . . . . . . . 77--92

Numerical Algorithms
Volume 26, Number 2, February, 2001

                    Knut Petras   Fast calculation of coefficients in the
                                  Smolyak algorithm  . . . . . . . . . . . 93--109
                Frauke Sprengel   Multilevel algorithms for finite
                                  difference discretizations on sparse
                                  grids  . . . . . . . . . . . . . . . . . 111--121
                   W. M. Wright   The construction of order $4$ DIMSIMs
                                  for ordinary differential equations  . . 123--130
              J. C. Butcher and   
                  T. M. H. Chan   Variable stepsize schemes for effective
                                  order methods and enhanced order
                                  composition methods  . . . . . . . . . . 131--150
                Christer Glader   A method for rational Chebyshev
                                  approximation of rational functions on
                                  the unit disk and on the unit interval   151--165
                Judith Ford and   
                        Ke Chen   An algorithm for accelerated computation
                                  of DWTPer-based band preconditioners . . 167--172
              Giovanni Monegato   An overview of the computational aspects
                                  of Kronrod quadrature rules  . . . . . . 173--196
                      Anonymous   Book reviews . . . . . . . . . . . . . . 197--200

Numerical Algorithms
Volume 26, Number 3, March, 2001

              J. C. Butcher and   
                  D. J. L. Chen   On the implementation of ESIRK methods
                                  for stiff IVPs . . . . . . . . . . . . . 201--218
               S. Börm and   
                    R. Hiptmair   Analysis of tensor product multigrid . . 219--234
                  S. Akesbi and   
                      E. Maitre   Minimal residual method applied to the
                                  transport equation . . . . . . . . . . . 235--249
             Paul E. Saylor and   
            Dennis C. Smolarski   Why Gaussian quadrature in the complex
                                  plane? . . . . . . . . . . . . . . . . . 251--280
          Anja Fröhner and   
         Torsten Linß and   
            Hans-Görg Roos   Defect correction on Shishkin-type
                                  meshes . . . . . . . . . . . . . . . . . 281--299
                      Anonymous   Book reviews . . . . . . . . . . . . . . 301--303

Numerical Algorithms
Volume 26, Number 4, April, 2001

  Valérie Pham-Trong and   
            Nicolas Szafran and   
                      Luc Biard   Pseudo-geodesics on three-dimensional
                                  surfaces and pseudo-geodesic meshes  . . 305--315
                     M. Heyouni   The global Hessenberg and CMRH methods
                                  for linear systems with multiple
                                  right-hand sides . . . . . . . . . . . . 317--332
            Neville J. Ford and   
             A. Charles Simpson   The numerical solution of fractional
                                  differential equations: Speed versus
                                  accuracy . . . . . . . . . . . . . . . . 333--346
               J. M. Franco and   
            I. Gómez and   
               L. Rández   Four-stage symplectic and P-stable
                                  SDIRKN methods with dispersion of high
                                  order  . . . . . . . . . . . . . . . . . 347--363
                    Fu-Rong Lin   Preconditioners for block Toeplitz
                                  systems based on circulant
                                  preconditioners  . . . . . . . . . . . . 365--379
                      Anonymous   Book reviews . . . . . . . . . . . . . . 381--384
                      Anonymous   Author index . . . . . . . . . . . . . . 385--386


Numerical Algorithms
Volume 27, Number 1, May, 2001

                   Guoting Chen   Further Reduction of Normal Forms for
                                  Vector Fields  . . . . . . . . . . . . . 1--33
            Rida T. Farouki and   
           Bethany K. Kuspa and   
                Carla Manni and   
             Alessandra Sestini   Efficient Solution of the Complex
                                  Quadratic Tridiagonal System for C2 PH
                                  Quintic Splines  . . . . . . . . . . . . 35--60
        E. X. L. de Andrade and   
            C. F. Bracciali and   
                   A. Sri Ranga   Gaussian Quadrature Rules with Simple
                                  Node-Weight Relations  . . . . . . . . . 61--76
           Alvise Sommariva and   
             Marco Vianello and   
               Renato Zanovello   Fast Summation of Power Series with
                                  Coefficients Analytic at Infinity  . . . 77--87
        Philippe Lemmerling and   
              Sabine Van Huffel   Analysis of the Structured Total Least
                                  Squares Problem for Hankel/Toeplitz
                                  Matrices . . . . . . . . . . . . . . . . 89--114
                      Anonymous   Book Reviews . . . . . . . . . . . . . . 115--117

Numerical Algorithms
Volume 27, Number 2, June, 2001

               F. Costabile and   
                      A. Napoli   A Method for Global Approximation of the
                                  Initial Value Problem  . . . . . . . . . 119--130
                      P. Oswald   Remarks on Multilevel Bases for
                                  Divergence-Free Finite Elements  . . . . 131--152
                   Aude Maignan   Real Solving of Elementary-Algebraic
                                  Systems  . . . . . . . . . . . . . . . . 153--167
                Boris I. Kvasov   Approximation by Discrete GB-Splines . . 169--188
        Martin H. Gutknecht and   
    Miroslav Rozlo\vzník   By How Much Can Residual Minimization
                                  Accelerate the Convergence of Orthogonal
                                  Residual Methods?  . . . . . . . . . . . 189--213
             Paul E. Saylor and   
            Dennis C. Smolarski   Addendum to: Why Gaussian Quadrature in
                                  the Complex Plane? . . . . . . . . . . . 215--217

Numerical Algorithms
Volume 27, Number 3, July, 2001

          Yukitaka Minesaki and   
             Yoshimasa Nakamura   The Discrete Relativistic Toda Molecule
                                  Equation and a Padé Approximation
                                  Algorithm  . . . . . . . . . . . . . . . 219--235
           Paolo Costantini and   
               Francesca Pelosi   Shape-Preserving Approximation by Space
                                  Curves . . . . . . . . . . . . . . . . . 237--264
             Christian Zillober   Global Convergence of a Nonlinear
                                  Programming Method Using Convex
                                  Approximations . . . . . . . . . . . . . 265--289
                  Angela Kunoth   Wavelet Techniques for the
                                  Fictitious-Domain-Lagrange-Multiplier-Approach 291--316

Numerical Algorithms
Volume 27, Number 4, August, 2001

                 Gunar Matthies   Mapped Finite Elements on Hexahedra.
                                  Necessary and Sufficient Conditions for
                                  Optimal Interpolation Errors . . . . . . 317--327
                O. Nouisser and   
                      D. Sbibih   Existence and Construction of Simple
                                  B-Splines of Class $C^k$ on a
                                  Four-Directional Mesh of the Plane . . . 329--358
               Manuel Calvo and   
       Jesús Vigo-Aguiar   A Note on the Step Size Selection in
                                  Adams Multistep Methods  . . . . . . . . 359--366
         Manuel A. Gómez   An $O(n^2)$ Active Set Algorithm for
                                  Solving Two Related Box Constrained
                                  Parametric Quadratic Programs  . . . . . 367--375
                Yu-Hong Dai and   
                 Hongchao Zhang   Adaptive Two-Point Stepsize Gradient
                                  Algorithm  . . . . . . . . . . . . . . . 377--385
                      Anonymous   Book Reviews . . . . . . . . . . . . . . 387--390
                      Anonymous   Author Index . . . . . . . . . . . . . . 391--392


Numerical Algorithms
Volume 28, Number 1--4, December, 2001

                      Anonymous   Preface  . . . . . . . . . . . . . . . . 1--2
                  F. Calio' and   
                   E. Marchetti   On an Algorithm for the Solution of
                                  Generalized Prandtl Equations  . . . . . 3--10
           M. R. Capobianco and   
               G. Criscuolo and   
                       R. Giova   A Stable and Convergent Algorithm to
                                  Evaluate Hilbert Transform . . . . . . . 11--26
                    M. Carletti   Numerical Determination of the
                                  Instability Region for a Delay Model of
                                  Phage--Bacteria Interaction  . . . . . . 27--44
                   C. Conti and   
                 R. Morandi and   
                   C. Rabut and   
                     A. Sestini   Cubic Spline Data Reduction Choosing the
                                  Knots from a Third Derivative Criterion  45--61
               F. Costabile and   
                  F. Dell'Accio   Expansions over a Simplex of Real
                                  Functions by Means of Bernoulli
                                  Polynomials  . . . . . . . . . . . . . . 63--86
               F. Costabile and   
            M. I. Gualtieri and   
                      R. Luceri   A New Iterative Method for the
                                  Computation of the Solutions of
                                  Nonlinear Equations  . . . . . . . . . . 87--100
          Stefano De Marchi and   
                 Marco Vianello   Approximating the Approximant: a
                                  Numerical Code for Polynomial
                                  Compression of Discrete Integral
                                  Operators  . . . . . . . . . . . . . . . 101--116
        Gianna M. Del Corso and   
               Francesco Romani   Heuristic Spectral Techniques for the
                                  Reduction of Bandwidth and Work-Bound of
                                  Sparse Matrices  . . . . . . . . . . . . 117--136
                 Luca Dieci and   
              Alessandra Papini   Conditioning of the Exponential of a
                                  Block Triangular Matrix  . . . . . . . . 137--150
                 Daniele Funaro   A Superconsistent Chebyshev Collocation
                                  Method for Second-Order Differential
                                  Operators  . . . . . . . . . . . . . . . 151--157
              Bruno Gabutti and   
                Luigi Gatteschi   New Asymptotics for the Zeros of
                                  Whittaker's Functions  . . . . . . . . . 159--170
       Maria Grazia Gasparo and   
          Alessandra Papini and   
                  Aldo Pasquali   Nonmonotone Algorithms for Pattern
                                  Search Methods . . . . . . . . . . . . . 171--186
                 Laura Gori and   
          Francesca Pitolli and   
                    Laura Pezza   On the Galerkin Method Based on a
                                  Particular Class of Scaling Functions    187--198
                 Laura Gori and   
          Francesca Pitolli and   
               Elisabetta Santi   Positive Refinable Operators . . . . . . 199--213
              Tiziana Isoni and   
         Pierpaolo Natalini and   
                 Paolo E. Ricci   Symbolic Computation of Newton Sum Rules
                                  for the Zeros of Polynomial
                                  Eigenfunctions of Linear Differential
                                  Operators  . . . . . . . . . . . . . . . 215--227
                P. Lamberti and   
                       C. Manni   Shape-Preserving $C^2$ Functional
                                  Interpolation via Parametric Cubics  . . 229--254
              Anna Molinaro and   
           Yaroslav D. Sergeyev   Finding the Minimal Root of an Equation
                                  with the Multiextremal and
                                  Nondifferentiable Left-Hand Part . . . . 255--272
         Giovanna Pittaluga and   
               Laura Sacripante   A Numerical Algorithm for Cubature by
                                  Bivariate Splines on Nonuniform
                                  Partitions . . . . . . . . . . . . . . . 273--284
       Maria Cristina Recchioni   Quadratically Convergent Method for
                                  Simultaneously Approaching the Roots of
                                  Polynomial Solutions of a Class of
                                  Differential Equations: Application to
                                  Orthogonal Polynomials . . . . . . . . . 285--308
    Stefano Serra Capizzano and   
        Cristina Tablino Possio   Finite Element Matrix Sequences: the
                                  Case of Rectangular Domains  . . . . . . 309--327


Numerical Algorithms
Volume 29, Number 1--3, March, 2002

                Irfan Altas and   
             Jocelyne Erhel and   
                 Murli M. Gupta   High Accuracy Solution of
                                  Three-Dimensional Biharmonic Equations   1--19
                   C. Brezinski   Block Descent Methods and Hybrid
                                  Procedures for Linear Systems  . . . . . 21--32
               C. Brezinski and   
               M. Redivo Zaglia   Block Projection Methods for Linear
                                  Systems  . . . . . . . . . . . . . . . . 33--43
                D. Calvetti and   
                     L. Reichel   Lanczos-Based Exponential Filtering for
                                  Discrete Ill-Posed Problems  . . . . . . 45--65
             André Draux   Formal Orthogonal Polynomials and
                                  Newton--Padé Approximants . . . . . . . . 67--74
            A. El Guennouni and   
                  K. Jbilou and   
                   A. J. Riquet   Block Krylov Subspace Methods for
                                  Solving Large Sylvester Equations  . . . 75--96
            P. R. Graves-Morris   The Breakdowns of BiCGStab . . . . . . . 97--105
          Gérard Meurant   A Multilevel AINV Preconditioner . . . . 107--129
                Dany Mezher and   
               Bernard Philippe   PAT --- a Reliable Path-Following
                                  Algorithm  . . . . . . . . . . . . . . . 131--152
              J. C. Miellou and   
                     P. Spiteri   Optimization of the Relaxation Parameter
                                  for S.S.O.R. and A.D.I. Preconditioning  153--195
      Brígida Molina and   
                  Marcos Raydan   Spectral Variants of Krylov Subspace
                                  Methods  . . . . . . . . . . . . . . . . 197--208
                  D. E. Roberts   The Vector Epsilon Algorithm --- a
                                  Residual Approach  . . . . . . . . . . . 209--227
                   A. Salam and   
            P. R. Graves-Morris   On the Vector $\varepsilon$-Algorithm
                                  for Solving Linear Systems of Equations  229--247
                 P. Spiteri and   
              J. C. Miellou and   
                     J. M. Bahi   Evaluations of Parameters for the
                                  Optimization of S.S.O.R. and A.D.I.
                                  Preconditioning  . . . . . . . . . . . . 249--265
          Jeannette Van Iseghem   Vector-Orthogonality and Lanczos-Type
                                  Methods  . . . . . . . . . . . . . . . . 267--279

Numerical Algorithms
Volume 29, Number 4, April, 2002

                      Anonymous   Preface  . . . . . . . . . . . . . . . . 281--281
     Yann-Hervé De Roeck   Sparse Linear Algebra and Geophysical
                                  Migration: a Review of Direct and
                                  Iterative Methods  . . . . . . . . . . . 283--322
           Per Christian Hansen   Deconvolution and Regularization with
                                  Toeplitz Matrices  . . . . . . . . . . . 323--378
                      Anonymous   Author Index . . . . . . . . . . . . . . 379--380


Numerical Algorithms
Volume 30, Number 1, May, 2002

                S. J. Hales and   
                    J. Levesley   Error Estimates for Multilevel
                                  Approximation Using Polyharmonic Splines 1--10
                 Amparo Gil and   
              Javier Segura and   
                  Nico M. Temme   Computing Complex Airy Functions by
                                  Numerical Quadrature . . . . . . . . . . 11--23
        Barbara Zubik-Kowal and   
                Penny J. Davies   Numerical Approximation of Time Domain
                                  Electromagnetic Scattering from a Thin
                                  Wire . . . . . . . . . . . . . . . . . . 25--36
              Bernd Fischer and   
           Woula Themistoclakis   Orthogonal Polynomial Wavelets . . . . . 37--58
                      S. H. Lui   On Schwarz Alternating Methods for the
                                  Subsonic Full Potential Equation . . . . 59--69
  Mickaël Robbé and   
                 Miloud Sadkane   A Convergence Analysis of GMRES and FOM
                                  Methods for Sylvester Equations  . . . . 71--89
                      Anonymous   Book Reviews . . . . . . . . . . . . . . 91--92

Numerical Algorithms
Volume 30, Number 2, June, 2002

              Gene H. Golub and   
                 Chen Greif and   
                 James M. Varah   Block Orderings for Tensor-Product Grids
                                  in Two and Three Dimensions  . . . . . . 93--111
           Andreas Griewank and   
              Christ\`ele Faure   Reduced Functions, Gradients and
                                  Hessians from Fixed-Point Iterations for
                                  State Equations  . . . . . . . . . . . . 113--139
          Marie-Laurence Mazure   Blossoming: from Polynomials to Power
                                  Series . . . . . . . . . . . . . . . . . 141--155
                      L. Amodei   Orthogonal Decompositions in Hilbertian
                                  Subspaces, Error Functions and Optimal
                                  Extensions of Interpolation Systems  . . 157--184
                   Hans Strauss   Approximation with Constraints by
                                  Conditionally Positive Definite
                                  Functions  . . . . . . . . . . . . . . . 185--198

Numerical Algorithms
Volume 30, Number 3--4, August, 2002

                 Lori Badea and   
                  Prabir Daripa   A Fast Algorithm for Two-Dimensional
                                  Elliptic Problems  . . . . . . . . . . . 199--239
                  F. Luengo and   
                  M. Raydan and   
                   W. Glunt and   
                   T. L. Hayden   Preconditioned Spectral Gradient Method  241--258
                E. Tijskens and   
                   D. Roose and   
                   H. Ramon and   
             J. De Baerdemaeker   Automatic Differentiation for Solving
                                  Nonlinear Partial Differential
                                  Equations: An Efficient Operator
                                  Overloading Approach . . . . . . . . . . 259--301
       Andreas Stathopoulos and   
                 Shang-Hua Teng   Recovering Mesh Geometry from a
                                  Stiffness Matrix . . . . . . . . . . . . 303--322
                  K. Driver and   
                     K. Jordaan   Zeros of
                                  $_3F_2({\matrix{-n,b,c\d,e}};z)$
                                  Polynomials  . . . . . . . . . . . . . . 323--333
            Giovanni Samaey and   
           Koen Engelborghs and   
                     Dirk Roose   Numerical Computation of Connecting
                                  Orbits in Delay Differential Equations   335--352
                      Anonymous   Author Index . . . . . . . . . . . . . . 353--354


Numerical Algorithms
Volume 31, Number 1--4, December, 2002

                  J. C. Butcher   Preface  . . . . . . . . . . . . . . . . 1--3
          Winfried Auzinger and   
                Othmar Koch and   
            Ewa Weinmüller   Efficient Collocation Schemes for
                                  Singular Boundary Value Problems . . . . 5--25
                Igor P. Boglaev   The Solution of a Singularly Perturbed
                                  Convection--Diffusion Problem by an
                                  Iterative Domain Decomposition Method    27--46
                  J. C. Butcher   The $A$-Stability of Methods with Padé
                                  and Generalized Padé Stability Functions  47--58
              J. C. Butcher and   
                    A. D. Heard   Stability of Numerical Methods for
                                  Ordinary Differential Equations  . . . . 59--73
              J. C. Butcher and   
                  Z. Jackiewicz   Error Estimation for Nordsieck Methods   75--85
              J. C. Butcher and   
               A. E. O'Sullivan   Nordsieck Methods with an Off-Step Point 87--101
                  D. J. L. Chen   Variable-Order ESIRK Methods for Stiff
                                  Differential Equations . . . . . . . . . 103--114
              Robert M. Corless   A New View of the Computational
                                  Complexity of IVP for ODE  . . . . . . . 115--124
                  W. H. Enright   The Design and Implementation of Usable
                                  ODE Software . . . . . . . . . . . . . . 125--137
           Felice Iavernaro and   
               Francesca Mazzia   Generalization of Backward
                                  Differentiation Formulas for Parallel
                                  Computers  . . . . . . . . . . . . . . . 139--155
           Felice Iavernaro and   
           Francesca Mazzia and   
               Donato Trigiante   Eigenvalues and Quasi-Eigenvalues of
                                  Banded Toeplitz Matrices: Some
                                  Properties and Applications  . . . . . . 157--170
                 Laurent O. Jay   Iterative Solution of SPARK Methods
                                  Applied to DAEs  . . . . . . . . . . . . 171--191
                Minnie Kerr and   
                  Kevin Burrage   New Multivalue Methods for Differential
                                  Algebraic Equations  . . . . . . . . . . 193--213
              T. Macdougall and   
                   J. H. Verner   Global Error Estimators for Order $7$,
                                  $8$ Runge--Kutta Pairs . . . . . . . . . 215--231
            Robert I. McLachlan   Families of High-Order Composition
                                  Methods  . . . . . . . . . . . . . . . . 233--246
             Michelle Schatzman   Numerical Integration of
                                  Reaction--Diffusion Systems  . . . . . . 247--269
                    P. W. Sharp   Requirements of a Package for $N$-Body
                                  Simulations of the Solar System  . . . . 271--279
          Gustaf Söderlind   Automatic Control and Adaptive
                                  Time-Stepping  . . . . . . . . . . . . . 281--310
                      R. Tirani   A Parallel Algorithm for the Estimation
                                  of the Global Error in Runge--Kutta
                                  Methods  . . . . . . . . . . . . . . . . 311--318
                 Igor Tsukerman   Finite Element Differential--Algebraic
                                  Systems for Eddy Current Problems  . . . 319--335
       P. J. van der Houwen and   
                B. P. Sommeijer   Approximate Factorization in Shallow
                                  Water Applications . . . . . . . . . . . 337--360
               Jan van Lent and   
              Stefan Vandewalle   Multigrid Waveform Relaxation for
                                  Anisotropic Partial Differential
                                  Equations  . . . . . . . . . . . . . . . 361--380
                   W. M. Wright   Explicit General Linear Methods with
                                  Inherent Runge--Kutta Stability  . . . . 381--399
                  J. C. Butcher   Software Issues for Ordinary
                                  Differential Equations . . . . . . . . . 401--418


Numerical Algorithms
Volume 32, Number 1, January, 2003

         E. H. Kaufman, Jr. and   
              D. J. Leeming and   
                   G. D. Taylor   Adaptive Monotone Rational Approximation
                                  on Finite Sets . . . . . . . . . . . . . 1--12
                  Y. C. Hon and   
                R. Schaback and   
                        X. Zhou   An Adaptive Greedy Algorithm for Solving
                                  Large RBF Collocation Problems . . . . . 13--25
                S. Gugercin and   
             D. C. Sorensen and   
                 A. C. Antoulas   A Modified Low-Rank Smith Method for
                                  Large-Scale Lyapunov Equations . . . . . 27--55
             Suliman Al-Homidan   Hybrid Methods for Approximating Hankel
                                  Matrix . . . . . . . . . . . . . . . . . 57--66
              Michael Hanke and   
             René Lamour   Consistent Initialization for Nonlinear
                                  Index-2 Differential--Algebraic
                                  Equation: Large Sparse Systems in MATLAB 67--85
             Michael S. Floater   Analysis of Curve Reconstruction by
                                  Meshless Parameterization  . . . . . . . 87--98
               Claude Brezinski   Book Reviews . . . . . . . . . . . . . . 99--103

Numerical Algorithms
Volume 32, Number 2--4, April, 2003

    Andrzej Kie\lbasi\'nski and   
              Krystyna Zi\ketak   Numerical Behaviour of Higham's Scaled
                                  Method for Polar Decomposition . . . . . 105--140
              Mathias Brieu and   
                 Jocelyne Erhel   On the Convergence of a Non-incremental
                                  Homogenization Method for Nonlinear
                                  Elastic Composite Materials  . . . . . . 141--161
            Elena Celledoni and   
                 Brynjulf Owren   On the Implementation of Lie Group
                                  Methods on the Stiefel Manifold  . . . . 163--183
                 B. Achchab and   
                 S. Achchab and   
                O. Axelsson and   
                     A. Souissi   Upper Bound of the Constant in
                                  Strengthened C.B.S. Inequality for
                                  Systems of Linear Partial Differential
                                  Equations  . . . . . . . . . . . . . . . 185--191
              Stefan Paszkowski   Convergence Acceleration of Some
                                  Continued Fractions  . . . . . . . . . . 193--247
          Ernesto G. Birgin and   
          Nata\vsa Kreji\'c and   
José Mario Martínez   Globally Convergent Inexact Quasi-Newton
                                  Methods for Solving Nonlinear Systems    249--260
                 Lori Badea and   
                  Prabir Daripa   On a Fourier Method of Embedding Domains
                                  Using an Optimal Distributed Control . . 261--273
            Kamal Shanazari and   
                        Ke Chen   A Minimal Distance Constrained Adaptive
                                  Mesh Algorithm with Application to the
                                  Dual Reciprocity Method  . . . . . . . . 275--286
           David A. Huckaby and   
                   Tony F. Chan   On the Convergence of Stewart's QLP
                                  Algorithm for Approximating the SVD  . . 287--316
               J. M. Franco and   
                I. Gómez   Fourth-Order Symmetric DIRK Methods for
                                  Periodic Stiff Problems  . . . . . . . . 317--336


Numerical Algorithms
Volume 33, Number 1--4, August, 2003

                      Anonymous   Preface  . . . . . . . . . . . . . . . . 1--2
               Claude Brezinski   A Tribute  . . . . . . . . . . . . . . . 3--9
                  J. Abouir and   
                    A. Cuyt and   
                       R. Orive   Multivariate Two-Point Padé-Type and
                                  Two-Point Padé Approximants . . . . . . . 11--26
          Winfried Auzinger and   
         Günter Kneisl and   
                Othmar Koch and   
            Ewa Weinmüller   A Collocation Code for Singular Boundary
                                  Value Problems in Ordinary Differential
                                  Equations  . . . . . . . . . . . . . . . 27--39
           Silvia Bacchelli and   
                    Serena Papi   Matrix Thresholding for Multiwavelet
                                  Image Denoising  . . . . . . . . . . . . 41--52
      Richard Baltensperger and   
           Jean-Paul Berrut and   
                     Yves Dubey   The Linear Rational Pseudospectral
                                  Method with Preassigned Poles  . . . . . 53--63
              Mohammed Bellalij   Analysis of Henrici's Transformation for
                                  Singular Problems  . . . . . . . . . . . 65--82
               Laura Beutel and   
                Heinz H. Gonska   Quantitative Inheritance Properties for
                                  Simultaneous Approximation by Tensor
                                  Product Operators  . . . . . . . . . . . 83--92
                 D. A. Bini and   
                G. Codevico and   
                   M. Van Barel   Solving Toeplitz Least Squares Problems
                                  by Means of Newton's Iteration . . . . . 93--103
           A. Böttcher and   
                  S. M. Grudsky   Asymptotic Spectra of Dense Toeplitz
                                  Matrices Are Unstable  . . . . . . . . . 105--112
                 Gregory Boutry   Anti-Gaussian Padé Approximants . . . . . 113--122
                   C. Brezinski   A Classification of Quasi-Newton Methods 123--135
            John C. Butcher and   
                 Nicolette Moir   Experiments with a New Fifth Order
                                  Method . . . . . . . . . . . . . . . . . 137--151
           Daniela Calvetti and   
                 Lothar Reichel   On the Evaluation of Polynomial
                                  Coefficients . . . . . . . . . . . . . . 153--161
                   M. Calvo and   
            J. I. Montijano and   
               L. Rández   On the Solution of Discontinuous IVPs by
                                  Adaptive Runge--Kutta Codes  . . . . . . 163--182
             J. M. Carnicer and   
                       M. Gasca   Asymptotic Conditions for Degree
                                  Diminution Along Prescribed Lines  . . . 183--192
                Michel Crouzeix   Contractivity and Analyticity in $l^p$
                                  of Some Approximation of the Heat
                                  Equation . . . . . . . . . . . . . . . . 193--201
            Jean Della Dora and   
        Mihaela Mirica-Ruse and   
               Evelyne Tournier   Hybrid Systems and Hybrid Computation
                                  1st Part: Hybrid Systems . . . . . . . . 203--213
                  F. Dubeau and   
                A. Ouansafi and   
                       A. Sakat   Galerkin Methods for Nonlinear Ordinary
                                  Differential Equation with Impulses  . . 215--225
                    Yves Dumont   Some Remarks on a Vibro-Impact Scheme    227--240
        M. El Alaoui Talibi and   
                   A. El Kacimi   Numerical Simulation of the
                                  Two-Hydrodynamic Film Thickness  . . . . 241--250
                   L. Emmel and   
                S. M. Kaber and   
                       Y. Maday   Padé--Jacobi Filtering for Spectral
                                  Approximations of Discontinuous
                                  Solutions  . . . . . . . . . . . . . . . 251--264
                 Amparo Gil and   
              Javier Segura and   
                  Nico M. Temme   Computing Special Functions by Using
                                  Quadrature Rules . . . . . . . . . . . . 265--275
Concepción González-Concepción and   
María Candelaria Gil-Fariña   Padé Approximation in Economics . . . . . 277--292
            P. R. Graves-Morris   VPAStab: Stabilised Vector-Padé
                                  Approximation with Application to Linear
                                  Systems  . . . . . . . . . . . . . . . . 293--304
               Georg Heinig and   
                     Karla Rost   Fast Algorithms for Centro-Symmetric and
                                  Centro-Skewsymmetric
                                  Toeplitz-Plus-Hankel Matrices  . . . . . 305--317
                   Ale\vs Janka   A Flux Correction Multigrid for
                                  Compressible Flow  . . . . . . . . . . . 319--330
                 A. Kouibia and   
                 M. Pasadas and   
                  J. J. Torrens   Construction of Surfaces with
                                  Parallelism Conditions . . . . . . . . . 331--342
      P.-F. Lavallée and   
                     M. Sadkane   Computation of Pseudospectra by Spectral
                                  Dichotomy Methods in a Parallel
                                  Environment  . . . . . . . . . . . . . . 343--355
                   Elie Leopold   Perturbed Recurrence Relations . . . . . 357--366
               Leigh Little and   
                    Yousef Saad   Block Preconditioners for Saddle Point
                                  Problems . . . . . . . . . . . . . . . . 367--379
            Abdeljalil Nachaoui   An Improved Implementation of An
                                  Iterative Method in Boundary
                                  Identification Problems  . . . . . . . . 381--398
                O. Nouisser and   
                  D. Sbibih and   
             Paul Sablonni\`ere   A Family of Spline Quasi-Interpolants on
                                  the Sphere . . . . . . . . . . . . . . . 399--413
                  W. Ple\'sniak   Volume of Polynomial Lemniscates in
                                  C$^n$  . . . . . . . . . . . . . . . . . 415--420
        Marc Prévost and   
                 Denis Vekemans   Approximation and Prediction of the
                                  Numerical Solution of Some Burgers
                                  Problems . . . . . . . . . . . . . . . . 421--431
               G. Rodriguez and   
                  S. Seatzu and   
                       D. Theis   A New Technique for Ill-Conditioned
                                  Linear Systems . . . . . . . . . . . . . 433--442
             Paul Sablonni\`ere   An Algorithm for the Computation of
                                  Hermite--Padé Approximations to the
                                  Exponential Function: Divided
                                  Differences and Hermite--Padé; Forms  . . 443--452
             Manuela Sagona and   
             Alessandra Seghini   An a Posteriori Error Estimate for a
                                  Semi-Lagrangian Scheme for
                                  Hamilton--Jacobi Equations . . . . . . . 453--460
             Pierre Spiteri and   
        Jean-Claude Miellou and   
                  Didier El Baz   Parallel Asynchronous Schwarz and
                                  Multisplitting Methods for a Nonlinear
                                  Diffusion Problem  . . . . . . . . . . . 461--474
    Franciszek Hugon Szafraniec   Detecting Mass Points of Representing
                                  Measures . . . . . . . . . . . . . . . . 475--483
          Jeannette Van Iseghem   Vector Stieltjes Continued Fraction and
                                  Vector QD Algorithm  . . . . . . . . . . 485--498
          Ernst Joachim Weniger   A Rational Approximant for the Digamma
                                  Function . . . . . . . . . . . . . . . . 499--507
         M. S. Zakynthinaki and   
                Y. G. Saridakis   Stochastic Optimization for Adaptive
                                  Real-Time Wavefront Correction . . . . . 509--520


Numerical Algorithms
Volume 34, Number 1, September, 2003

                    Miquel Grau   An Improvement to the Computing of
                                  Nonlinear Equation Solutions . . . . . . 1--12
         Nicholas J. Higham and   
               Matthew I. Smith   Computing the Matrix Cosine  . . . . . . 13--26
                T. E. Simos and   
              I. T. Famelis and   
                   C. Tsitouras   Zero Dissipative, Explicit Numerov-Type
                                  Methods for Second Order IVPs with
                                  Oscillating Solutions  . . . . . . . . . 27--40
               T. Luzyanina and   
             K. Engelborghs and   
                       D. Roose   Computing Stability of Differential
                                  Equations with Bounded Distributed
                                  Delays . . . . . . . . . . . . . . . . . 41--66
                 A. Mazroui and   
                  D. Sbibih and   
                      A. Tijini   $C^k$--B-splines with Square Support on
                                  a Three-Direction Mesh of the Plane  . . 67--84
           Daniela Calvetti and   
                 Lothar Reichel   Gauss Quadrature Applied to Trust Region
                                  Computations . . . . . . . . . . . . . . 85--102
                      Anonymous   Book Reviews . . . . . . . . . . . . . . 103--106

Numerical Algorithms
Volume 34, Number 2--4, December, 2003

            Nisrine Achachi and   
  Françoise Richard-Jung   Computer Algebra and Bifurcations  . . . 107--115
                    M. Afif and   
                    B. Amaziane   Numerical Simulation of Two-Phase Flow
                                  through Heterogeneous Porous Media . . . 117--125
                    M. Afif and   
                  A. Bergam and   
                 Z. Mghazli and   
               R. Verfürth   A Posteriori Estimators for the Finite
                                  Volume Discretization of an Elliptic
                                  Problem  . . . . . . . . . . . . . . . . 127--136
                M. Akhmouch and   
                    N. Guessous   High-Order Analytical Nodal Method for
                                  the Multigroup Diffusion Equations . . . 137--146
             Giampietro Allasia   Simultaneous Interpolation and
                                  Approximation by a Class of Multivariate
                                  Positive Operators . . . . . . . . . . . 147--158
            El Bachir Ameur and   
               Driss Sbibih and   
               Paul Sablonniere   A General Multiresolution Method for
                                  Fitting Functions on the Sphere  . . . . 159--171
              B. Beckermann and   
                      A. Osipov   Some Spectral Properties of Infinite
                                  Band Matrices  . . . . . . . . . . . . . 173--185
                  A. Bergam and   
                C. Bernardi and   
                   F. Hecht and   
                     Z. Mghazli   Error Indicators for the Mortar Finite
                                  Element Discretization of a Parabolic
                                  Problem  . . . . . . . . . . . . . . . . 187--201
                A. C. Berti and   
            C. F. Bracciali and   
                   A. Sri Ranga   Orthogonal Polynomials Associated with
                                  Related Measures and Sobolev Orthogonal
                                  Polynomials  . . . . . . . . . . . . . . 203--216
                 D. A. Bini and   
              G. Fiorentino and   
               L. Gemignani and   
                       B. Meini   Effective Fast Algorithms for Polynomial
                                  Spectral Factorization . . . . . . . . . 217--227
                  A. Chakib and   
                T. Ghemires and   
                    A. Nachaoui   Study of a Numerical Approach for a
                                  Transient Flow Problem in Porous Media   229--243
               J. P. Chehab and   
                       B. Costa   Multiparameter Schemes for Evolutionary
                                  Equations  . . . . . . . . . . . . . . . 245--257
                   Ronald Cools   Extrapolation and Adaptivity in Software
                                  for Automatic Numerical Integration on a
                                  Cube . . . . . . . . . . . . . . . . . . 259--269
               N. Del Buono and   
                       L. Lopez   Numerical Integration of a Class of
                                  Ordinary Differential Equations on the
                                  General Linear Group of Matrices . . . . 271--281
       Lilianne Denis-Vidal and   
   Ghislaine Joly-Blanchard and   
           Céline Noiret   System Identifiability (Symbolic
                                  Computation) and Parameter Estimation
                                  (Numerical Computation)  . . . . . . . . 283--292
               Z. Dostál   A Proportioning Based Algorithm with
                                  Rate of Convergence for Bound
                                  Constrained Quadratic Programming  . . . 293--302
     François Dubois and   
 Stéphanie Mengué   Mixed Collocation for Fractional
                                  Differential Equations . . . . . . . . . 303--311
               Dario Fasino and   
                 Luca Gemignani   Direct and Inverse Eigenvalue Problems
                                  for Diagonal-Plus-Semiseparable Matrices 313--324
               Michael Hill and   
                   Ian Robinson   A Comparison of Strategies for the
                                  Automatic Computation of Two-Dimensional
                                  Integrals over Infinite Domains  . . . . 325--338
                      K. Jbilou   Block Krylov Subspace Methods for Large
                                  Algebraic Riccati Equations  . . . . . . 339--353
           Mohammed Khachan and   
   François Guibault and   
                    Hafsa Deddi   Characterization of Trimmed NURBS
                                  Surface Boundaries Using Topological
                                  Criteria . . . . . . . . . . . . . . . . 355--366
                 A. Kouibia and   
                 M. Pasadas and   
         M. L. Rodríguez   Construction of ODE Curves . . . . . . . 367--377
                    M. Kzaz and   
              M. Prévost   Convergence Acceleration of
                                  Gauss--Chebyshev Quadrature Formulae . . 379--391
              E. C. Laskari and   
          K. E. Parsopoulos and   
                 M. N. Vrahatis   Evolutionary Operators in Global
                                  Optimization with Dynamic Search
                                  Trajectories . . . . . . . . . . . . . . 393--403
               A. Palomares and   
              V. Ramírez   Thresholds of the Divisor Methods  . . . 405--415
                       N. Revol   Interval Newton Iteration in Multiple
                                  Precision for the Univariate Case  . . . 417--426
             S. Serra-Capizzano   Practical Band Toeplitz Preconditioning
                                  and Boundary Layer Effects . . . . . . . 427--440
                      Anonymous   List of Participants . . . . . . . . . . 441--452


Numerical Algorithms
Volume 35, Number 1, January, 2004

           Voichi\cta Maxim and   
          Marie-Laurence Mazure   Subdivision Schemes and Irregular Grids  1--28
   Yiorgos-Sokratis Smyrlis and   
           Andreas Karageorghis   A Linear Least-Squares MFS for Certain
                                  Elliptic Problems  . . . . . . . . . . . 29--44
             Dorota D\kabrowska   Jitter and Measurement Errors in
                                  Approximation and Integration of
                                  Lipschitz Functions  . . . . . . . . . . 45--60
      Stanis\law Lewanowicz and   
                 Pawe\l Wo\'zny   Recurrence Relations for the
                                  Coefficients in Series Expansions with
                                  Respect to Semi-Classical Orthogonal
                                  Polynomials  . . . . . . . . . . . . . . 61--79
                Qing-Hu Hou and   
              Alain Lascoux and   
                    Yan-Ping Mu   Continued Fractions for Rogers--Szeg\Ho
                                  Polynomials  . . . . . . . . . . . . . . 81--90
                    Guizhi Chen   The Use of Refined Harmonic Shifts in
                                  the Implicitly Restarted Refined
                                  Harmonic Arnoldi Method  . . . . . . . . 91--96
              Oren E. Livne and   
                  Gene H. Golub   Scaling by Binormalization . . . . . . . 97--120
        Barbara Zubik-Kowal and   
                Penny J. Davies   Fourier Stability Analysis of a
                                  Numerical Method for Time Domain
                                  Electromagnetic Scattering from a Thin
                                  Wire . . . . . . . . . . . . . . . . . . 121--130
                      Anonymous   Book Reviews . . . . . . . . . . . . . . 131--136

Numerical Algorithms
Volume 35, Number 2--4, April, 2004

José Mario Martínez and   
                   Jin Yun Yuan   Preface  . . . . . . . . . . . . . . . . 137--137
                      X. Wu and   
             B. P. B. Silva and   
                     J. Y. Yuan   Conjugate Gradient Method for Rank
                                  Deficient Saddle Point Problems  . . . . 139--154
Carlos Henrique Medeiros de Sabóia and   
       Manoel Campêlo and   
              Susana Scheimberg   A Computational Study of Global
                                  Algorithms for Linear Bilevel
                                  Programming  . . . . . . . . . . . . . . 155--173
          Carlos Humes, Jr. and   
          Paulo J. S. Silva and   
               Benar F. Svaiter   Some Inexact Hybrid Proximal Augmented
                                  Lagrangian Algorithms  . . . . . . . . . 175--184
          Clovis C. Gonzaga and   
                   Marli Cardia   Properties of the Central Points in
                                  Linear Programming Problems  . . . . . . 185--204
                Musheng Wei and   
        Alvaro R. De Pierro and   
                    Jiahong Yin   Error Estimates for Two Filters Based on
                                  Polynomial Interpolation for Recovering
                                  a Function from Its Fourier Coefficients 205--231
              Wilfredo Sosa and   
           Fernanda M. P. Raupp   A New Approach to a Multicriteria
                                  Optimization Problem . . . . . . . . . . 233--247
                Yu-Hong Dai and   
                Li-Zhi Liao and   
                        Duan Li   On Restart Procedures for the Conjugate
                                  Gradient Method  . . . . . . . . . . . . 249--260
        Rosana Pérez and   
  Véra Lucia Rocha Lopes   Recent Applications and Numerical
                                  Implementation of Quasi-Newton Methods
                                  for Solving Nonlinear Systems of
                                  Equations  . . . . . . . . . . . . . . . 261--285
              Carlile Lavor and   
                 Nelson Maculan   A Function to Test Methods Applied to
                                  Global Minimization of Potential Energy
                                  of Molecules . . . . . . . . . . . . . . 287--300
                D. Calvetti and   
                 L. Reichel and   
                      A. Shuibi   $L$-Curve and Curvature Bounds for
                                  Tikhonov Regularization  . . . . . . . . 301--314
               Marcia Fampa and   
                 Nelson Maculan   Using a Conic Formulation for Finding
                                  Steiner Minimal Trees  . . . . . . . . . 315--330
                N. Echebest and   
          M. T. Guardarucci and   
                 H. Scolnik and   
                 M. C. Vacchino   An Acceleration Scheme for Solving
                                  Convex Feasibility Problems Using
                                  Incomplete Projection Algorithms . . . . 331--350
               Owe Axelsson and   
              Zhong-Zhi Bai and   
                   Shou-Xia Qiu   A Class of Nested Iteration Schemes for
                                  Linear Systems with a Coefficient Matrix
                                  with a Dominant Positive Definite
                                  Symmetric Part . . . . . . . . . . . . . 351--372
         Elon Santos Correa and   
 Maria Teresinha A. Steiner and   
            Alex A. Freitas and   
                 Celso Carnieri   A Genetic Algorithm for Solving a
                                  Capacitated $p$-Median Problem . . . . . 373--388
                      Anonymous   List of Participants . . . . . . . . . . 389--395


Numerical Algorithms
Volume 36, Number 1, May, 2004

     Ferenc Kálovics and   
Gabriella Mészáros   Box Valued Functions in Solving Systems
                                  of Equations and Inequalities  . . . . . 1--12
            Rida T. Farouki and   
                 Chang Yong Han   Computation of Minkowski Values of
                                  Polynomials over Complex Sets  . . . . . 13--29
               Kai Diethelm and   
            Neville J. Ford and   
                  Alan D. Freed   Detailed Error Analysis for a Fractional
                                  Adams Method . . . . . . . . . . . . . . 31--52
              J. C. Butcher and   
                  Z. Jackiewicz   Construction of General Linear Methods
                                  with Runge--Kutta Stability Properties   53--72
              James G. Nagy and   
             Katrina Palmer and   
                   Lisa Perrone   Iterative Methods for Image Deblurring:
                                  a Matlab Object-Oriented Approach  . . . 73--93

Numerical Algorithms
Volume 36, Number 2, June, 2004

                 Lori Badea and   
                  Prabir Daripa   A Domain Embedding Method Using the
                                  Optimal Distributed Control and a Fast
                                  Algorithm  . . . . . . . . . . . . . . . 95--112
                 Amparo Gil and   
              Wolfram Koepf and   
                  Javier Segura   Computing the Real Zeros of
                                  Hypergeometric Functions . . . . . . . . 113--134
                W. Auzinger and   
         H. Hofstätter and   
                 W. Kreuzer and   
             E. Weinmüller   Modified Defect Correction Algorithms
                                  for ODEs. Part I: General Theory . . . . 135--155
             Luca Gemignani and   
                   Grazia Lotti   Rounding Error Analysis in Solving
                                  $M$-Matrix Linear Systems of Block
                                  Hessenberg Form  . . . . . . . . . . . . 157--168
           Francesca Mazzia and   
               Donato Trigiante   A Hybrid Mesh Selection Strategy Based
                                  on Conditioning for Boundary Value ODE
                                  Problems . . . . . . . . . . . . . . . . 169--187

Numerical Algorithms
Volume 36, Number 3, July, 2004

              Kuniyoshi Abe and   
           Shao-Liang Zhang and   
            Taketomo Mitsui and   
                  Cheng-Hai Jin   A Variant of the ORTHOMIN(2) Method for
                                  Singular Linear Systems  . . . . . . . . 189--202
           Bernard Bialecki and   
           Andreas Karageorghis   Legendre Gauss Spectral Collocation for
                                  the Helmholtz Equation on a Rectangle    203--227
            Leszek Plaskota and   
        Grzegorz W. Wasilkowski   Smolyak's Algorithm for Integration and
                                  $L_1$-Approximation of Multivariate
                                  Functions with Bounded Mixed Derivatives
                                  of Second Order  . . . . . . . . . . . . 229--246
              Richard J. Mathar   Numerical Representations of the
                                  Incomplete Gamma Function of
                                  Complex-Valued Argument  . . . . . . . . 247--264
  F. Jézéquel and   
                J.-M. Chesneaux   Computation of an Infinite Integral
                                  Using Romberg's Method . . . . . . . . . 265--283

Numerical Algorithms
Volume 36, Number 4, August, 2004

         Juri D. Kandilarov and   
                Lubin G. Vulkov   The Immersed Interface Method for a
                                  Nonlinear Chemical Diffusion Equation
                                  with Local Sites of Reactions  . . . . . 285--307
                   C. Brezinski   Extrapolation Algorithms for Filtering
                                  Series of Functions, and Treating the
                                  Gibbs Phenomenon . . . . . . . . . . . . 309--329
      Henrik Brandén and   
                  Per Sundqvist   An Algorithm for Computing Fundamental
                                  Solutions of Difference Operators  . . . 331--343
                   C. Conti and   
                      K. Jetter   Concerning Order of Convergence for
                                  Subdivision  . . . . . . . . . . . . . . 345--363
            Gianni Codevico and   
              Victor Y. Pan and   
                 Marc Van Barel   Newton-Like Iteration Based on a Cubic
                                  Polynomial for Structured Matrices . . . 365--380
                      Anonymous   Author Index, Volume 36 (2004) . . . . . 381--381
                      Anonymous   Contents of Volume 36 (2004) . . . . . . 383--384


Numerical Algorithms
Volume 37, Number 1--4, December, 2004

                     R. Alt and   
                  J.-L. Lamotte   In Honour of Jean Vignes and Ulrich
                                  Kulisch  . . . . . . . . . . . . . . . . 1--2
Marilton Sanchotene de Aguiar and   
Graçaliz Pereira Dimuro and   
Antônio Carlos da Rocha Costa   ICTM: An Interval Tessellation-Based
                                  Model for Reliable Topographic
                                  Segmentation . . . . . . . . . . . . . . 3--11
              Ahmet Akka\cs and   
         Michael J. Schulte and   
                 James E. Stine   Intrinsic Compiler Support for Interval
                                  Arithmetic . . . . . . . . . . . . . . . 13--20
       Roselyne Avot-Chotin and   
                   Habib Mehrez   Hardware Implementation of Discrete
                                  Stochastic Arithmetic  . . . . . . . . . 21--33
             Fritz G. Boese and   
              Wolfram J. Luther   Enclosure of the Zero Set of
                                  Multivariate Exponential Interval
                                  Polynomials  . . . . . . . . . . . . . . 35--44
               Sylvie Boldo and   
                    Marc Daumas   A Simple Test Qualifying the Accuracy of
                                  Horner's Rule for Polynomials  . . . . . 45--60
      J. A. Martínez and   
               L. G. Casado and   
           I. García and   
            Ya. D. Sergeyev and   
                 B. Tóth   On an Efficient Use of Gradient
                                  Information for Accelerating Interval
                                  Global Optimization Algorithms . . . . . 61--69
              Elena V. Chausova   Dynamic Network Inventory Control Model
                                  with Interval Nonstationary Demand
                                  Uncertainty  . . . . . . . . . . . . . . 71--84
András Erik Csallner and   
              Tibor Csendes and   
András Balázs Kocsis   Reliable Numerical Computation in Civil
                                  Engineering  . . . . . . . . . . . . . . 85--91
                  Tibor Csendes   Generalized Subinterval Selection
                                  Criteria for Interval Global
                                  Optimization . . . . . . . . . . . . . . 93--100
               James Demmel and   
                      Yozo Hida   Fast and Accurate Floating Point
                                  Summation with Application to
                                  Computational Geometry . . . . . . . . . 101--112
Laurent-Stéphane Didier and   
                    Fabien Rico   High Radix BKM Algorithm . . . . . . . . 113--125
                Eva Dyllong and   
                 Wolfram Luther   The GJK Distance Algorithm: An Interval
                                  Version for Incremental Motions  . . . . 127--136
            Daniela Fausten and   
             Wolfram Luther and   
        Gerhard Haßlinger   Accurate Computation of Traffic Workload
                                  Distributions  . . . . . . . . . . . . . 137--146
Luiz Henrique de Figueiredo and   
                   Jorge Stolfi   Affine Arithmetic: Concepts and
                                  Applications . . . . . . . . . . . . . . 147--158
               Nikolaj Glazunov   Interval Computations and Their
                                  Categorification . . . . . . . . . . . . 159--164
                   S. Hamdi and   
              W. H. Enright and   
                 Y. Ouellet and   
                W. E. Schiesser   Exact Solutions of Extended Boussinesq
                                  Equations  . . . . . . . . . . . . . . . 165--175
           Ismail I. Idriss and   
             Wolfgang V. Walter   Validated Infeasible Interior-Point
                                  Predictor--Corrector Methods for Linear
                                  Programming  . . . . . . . . . . . . . . 177--185
             Michel Kieffer and   
                    Eric Walter   Guaranteed Nonlinear State Estimator for
                                  Cooperative Systems  . . . . . . . . . . 187--198
               Lubomir V. Kolev   Solving Linear Systems Whose Elements
                                  Are Nonlinear Functions of Intervals . . 199--212
               Lubomir V. Kolev   An Improved Interval Linearization for
                                  Solving Nonlinear Problems . . . . . . . 213--224
          Vladik Kreinovich and   
            Eric J. Pauwels and   
            Scott A. Ferson and   
                   Lev Ginzburg   A Feasible Algorithm for Locating
                                  Concave and Convex Zones of Interval
                                  Data and Its Use in Statistics-Based
                                  Clustering . . . . . . . . . . . . . . . 225--232
           Stefanie Krivsky and   
                     Bruno Lang   Using Interval Arithmetic for
                                  Determining the Structure of Convex
                                  Hulls  . . . . . . . . . . . . . . . . . 233--240
              Andrzej Marciniak   Implicit Interval Methods for Solving
                                  the Initial Value Problem  . . . . . . . 241--251
Mihály Csaba Markót   Optimal Packing of $28$ Equal Circles in
                                  a Unit Square --- The First Reliable
                                  Solution . . . . . . . . . . . . . . . . 253--261
               Svetoslav Markov   On Quasivector Spaces of Convex Bodies
                                  and Zonotopes  . . . . . . . . . . . . . 263--274
           Svetoslav Markov and   
                   Rene Alt and   
               Jean-Luc Lamotte   Stochastic Arithmetic: $s$-spaces and
                                  Some Applications  . . . . . . . . . . . 275--284
         Bharat C. Mulupuru and   
          Vladik Kreinovich and   
               Roberto Osegueda   Interval Approach to Phase Measurements
                                  Can Lead to Arbitrarily Complex Sets ---
                                  a Theorem and Ways around It . . . . . . 285--299
            Sunao Murashige and   
                Shin'ichi Oishi   Numerical Verification of Solutions of
                                  Periodic Integral Equations with a
                                  Singular Kernel  . . . . . . . . . . . . 301--310
         Mitsuhiro T. Nakao and   
             Yoshitaka Watanabe   An Efficient Approach to the Numerical
                                  Verification for Solutions of Elliptic
                                  Differential Equations . . . . . . . . . 311--323
      Nedialko S. Nedialkov and   
          Vladik Kreinovich and   
                Scott A. Starks   Interval Arithmetic, Affine Arithmetic,
                                  Taylor Series Methods: Why, What Next?   325--336
                       M. Neher   A Complex Mean Value Form for Curves . . 337--343
             Evgenija D. Popova   Parametric Interval Linear Solver  . . . 345--356
   Renata Hax Sander Reiser and   
Graçaliz Pereira Dimuro and   
Antônio Carlos da Rocha Costa   The Interval Geometric Machine Model . . 357--366
               David Defour and   
           Guillaume Hanrot and   
          Vincent Lef\`evre and   
         Jean-Michel Muller and   
             Nathalie Revol and   
                Paul Zimmermann   Proposal for a Standardization of
                                  Mathematical Function Implementation in
                                  Floating-Point Arithmetic  . . . . . . . 367--375
                    Jean Vignes   Discrete Stochastic Arithmetic for
                                  Validating Results of Numerical Software 377--390
  Tamás Vinkó and   
                   Dietmar Ratz   A Multidimensional Branch-and-Prune
                                  Method for Interval Global Optimization  391--399
         G. William Walster and   
                   Eldon Hansen   Using Pillow Functions to Efficiently
                                  Compute Crude Range Tests  . . . . . . . 401--415
Jürgen Wolff von Gudenberg and   
              Vladik Kreinovich   A Full Function-Based Calculus of
                                  Directed and Undirected Intervals:
                                  Markov's Interval Arithmetic Revisited   417--428


Numerical Algorithms
Volume 38, Number 1--3, March, 2005

                      Anonymous   Chebyshev Polynomials and Spectral
                                  Methods  . . . . . . . . . . . . . . . . 1--2
                J. C. Mason and   
                    A. Crampton   Laurent--Padé Approximants to Four Kinds
                                  of Chebyshev Polynomial Expansions. Part
                                  I. Maehly Type Approximants  . . . . . . 3--18
                J. C. Mason and   
                    A. Crampton   Laurent--Padé Approximants to Four Kinds
                                  of Chebyshev Polynomial Expansions. Part
                                  II: Clenshaw--Lord Type Approximants . . 19--29
             Mohamed K. El-Daou   A Tau Method with Perturbed Boundary
                                  Conditions for Certain Ordinary
                                  Differential Equations . . . . . . . . . 31--45
               Alvise Sommariva   A Fast Nyström--Broyden Solver by
                                  Chebyshev Compression  . . . . . . . . . 47--60
                    J. C. Mason   The Minimality Properties of Chebyshev
                                  Polynomials and Their Lacunary Series    61--78
           Alvise Sommariva and   
             Marco Vianello and   
               Renato Zanovello   Adaptive Bivariate Chebyshev
                                  Approximation  . . . . . . . . . . . . . 79--94
               C. J. Talbot and   
                    A. Crampton   Application of the Pseudo-Spectral
                                  Method to $2$D Eigenvalue Problems in
                                  Elasticity . . . . . . . . . . . . . . . 95--110
                 E. Leriche and   
                    G. Labrosse   Fundamental Stokes Eigenmodes in the
                                  Square: Which Expansion Is More
                                  Accurate, Chebyshev or Reid--Harris? . . 111--131
               A. S. Palmer and   
                 T. N. Phillips   Numerical Approximation of the Spectra
                                  of Phan-Thien Tanner Liquids . . . . . . 133--153
        Michael M. J. Proot and   
              Marc I. Gerritsma   Application of the Least-Squares
                                  Spectral Element Method Using Chebyshev
                                  Polynomials to Solve the Incompressible
                                  Navier--Stokes Equations . . . . . . . . 155--172
        Bart De Maerschalck and   
              Marc I. Gerritsma   The Use of Chebyshev Polynomials in the
                                  Space--Time Least-Squares Spectral
                                  Element Method . . . . . . . . . . . . . 173--196
                   John P. Boyd   Chebyshev Solution of the
                                  Nearly-Singular One-Dimensional
                                  Helmholtz Equation and Related Singular
                                  Perturbation Equations: Multiple Scale
                                  Series and the Boundary Layer
                                  Rule-of-Thumb  . . . . . . . . . . . . . 197--207
            Lionel Mathelin and   
        M. Yousuff Hussaini and   
                 Thomas A. Zang   Stochastic Approaches to Uncertainty
                                  Quantification in CFD Simulations  . . . 209--236

Numerical Algorithms
Volume 38, Number 4, April, 2005

         Nicola Mastronardi and   
             Marc Van Barel and   
                  Raf Vandebril   A note on the recursive calculation of
                                  dominant singular subspaces  . . . . . . 237--242
        Alicja Smoktunowicz and   
            Iwona Wróbel   On improving the accuracy of Horner's
                                  and Goertzel's algorithms  . . . . . . . 243--258
               Yuehong Tang and   
   Günter W. Mühlbach   Cardinal ECT-splines . . . . . . . . . . 259--283
Luis Manuel Hernández-Ramos   Alternating oblique projections for
                                  coupled linear systems . . . . . . . . . 285--303
              Sergio Blanes and   
                 Fernando Casas   Raising the order of geometric numerical
                                  integrators by composition and
                                  extrapolation  . . . . . . . . . . . . . 305--326
                      Anonymous   Book reviews . . . . . . . . . . . . . . 327--331


Numerical Algorithms
Volume 39, Number 1--3, July, 2005

          Dominique Apprato and   
             Christian Gout and   
           Christophe Rabut and   
            Leonardo Traversoni   Multivariate approximation: An overview  1--6
                Jeremy Levesley   Where there's a Will there's a way --
                                  the research of Will Light . . . . . . . 7--34
       Eduardo Bayro-Corrochano   Multi-resolution image analysis using
                                  the quaternion wavelet transform . . . . 35--55
                 R. A. Brownlee   Error estimates for interpolation of
                                  rough data using the scattered shifts of
                                  a radial basis function  . . . . . . . . 57--68
             J. M. Carnicer and   
                       M. Gasca   Generation of lattices of points for
                                  bivariate interpolation  . . . . . . . . 69--79
      Daniel Castaño and   
                  Angela Kunoth   Multilevel regularization of wavelet
                                  based fitting of scattered data --- some
                                  experiments  . . . . . . . . . . . . . . 81--96
              Maria Charina and   
             Costanza Conti and   
                   Thomas Sauer   Regularity of multivariate vector
                                  subdivision schemes  . . . . . . . . . . 97--113
            Andrew Crampton and   
                  John C. Mason   Detecting and approximating fault lines
                                  from randomly scattered data . . . . . . 115--130
     Lidia Fernández and   
     Teresa E. Pérez and   
         Miguel A. Piñar   Classical orthogonal polynomials in two
                                  variables: a matrix approach . . . . . . 131--142
 Jorge L. Díaz Calle and   
      Philippe R. B. Devloo and   
          Sónia M. Gomes   Wavelets and adaptive grids for the
                                  discontinuous Galerkin method  . . . . . 143--154
             Christian Gout and   
          Carole Le Guyader and   
                  Luminita Vese   Segmentation under geometrical
                                  conditions using geodesic active
                                  contours and interpolation using level
                                  set methods  . . . . . . . . . . . . . . 155--173
         Miklós Hoffmann   Numerical control of Kohonen neural
                                  network for scattered data approximation 175--186
                 Armin Iske and   
                Jeremy Levesley   Multilevel scattered data approximation
                                  by adaptive domain decomposition . . . . 187--198
                  Angela Kunoth   Adaptive wavelet schemes for an elliptic
                                  control problem with Dirichlet boundary
                                  control  . . . . . . . . . . . . . . . . 199--220
          Carole Le Guyader and   
          Dominique Apprato and   
                 Christian Gout   Using a level set approach for image
                                  segmentation under interpolation
                                  conditions . . . . . . . . . . . . . . . 221--235
Antonio-Jesús López-Moreno and   
Francisco-Javier Muñoz-Delgado   Asymptotic expansion of multivariate
                                  Kantorovich type operators . . . . . . . 237--252
               Svenja Lowitzsch   A density theorem for matrix-valued
                                  radial basis functions . . . . . . . . . 253--256
          Marie-Laurence Mazure   Blossoming stories . . . . . . . . . . . 257--288
                G. Casciola and   
                 D. Lazzaro and   
           L. B. Montefusco and   
                      S. Morigi   Fast surface reconstruction and hole
                                  filling using positive definite radial
                                  basis functions  . . . . . . . . . . . . 289--305
           Francis J. Narcowich   Recent developments in error estimates
                                  for scattered-data interpolation via
                                  radial basis functions . . . . . . . . . 307--315
             Marco Paluszny and   
         Guillermo Montilla and   
      José Rafael Ortega   Lemniscates $3$D: a CAGD primitive?  . . 317--327
               Christophe Rabut   Locally tensor product functions . . . . 329--348

Numerical Algorithms
Volume 39, Number 4, August, 2005

              Dario A. Bini and   
         Nicholas J. Higham and   
                 Beatrice Meini   Algorithms for the matrix $p$th root . . 349--378
             N. Mastronardi and   
                E. Van Camp and   
                   M. Van Barel   Divide and conquer algorithms for
                                  computing the eigendecomposition of
                                  symmetric diagonal-plus-semiseparable
                                  matrices . . . . . . . . . . . . . . . . 379--398
          Marie-Laurence Mazure   Towards existence of piecewise
                                  Chebyshevian B-spline bases  . . . . . . 399--414
      Miodrag S. Petkovi\'c and   
       Du\vsan M. Milo\vsevi\'c   A higher order family for the
                                  simultaneous inclusion of multiple zeros
                                  of polynomials . . . . . . . . . . . . . 415--435
                    Ahmed Salam   On theoretical and numerical aspects of
                                  symplectic Gram--Schmidt-like algorithms 437--462


Numerical Algorithms
Volume 40, Number 1, September, 2005

             M. G. de Bruin and   
                  H. P. Dikshit   Pál-type Birkhoff interpolation on
                                  nonuniformly distributed points  . . . . 1--16
                  T. O. Espelid   Computation of an infinite integral
                                  using series acceleration  . . . . . . . 17--22
             Torsten Linß   Sufficient conditions for uniform
                                  convergence on layer-adapted meshes for
                                  one-dimensional reaction--diffusion
                                  problems . . . . . . . . . . . . . . . . 23--32
                Miquel Grau and   
                 Josep M. Peris   Iterative method generated by inverse
                                  interpolation with additional
                                  evaluations  . . . . . . . . . . . . . . 33--45
          Ricardo D. Fierro and   
           Per Christian Hansen   UTV Expansion Pack: Special-purpose
                                  rank-revealing algorithms  . . . . . . . 47--66
           Waleed Al-Hayani and   
            Luis Casasús   Approximate analytical solution of
                                  fourth order boundary value problems . . 67--78
          Winfried Auzinger and   
                Othmar Koch and   
            Dirk Praetorius and   
            Ewa Weinmüller   New a posteriori error estimates for
                                  singular boundary value problems . . . . 79--100

Numerical Algorithms
Volume 40, Number 2, October, 2005

                      Anonymous   Preface  . . . . . . . . . . . . . . . . 101--101
           Jean-Paul Chehab and   
                Jacques Laminie   Differential equations and solution of
                                  linear systems . . . . . . . . . . . . . 103--124
             Judith M. Ford and   
         Eugene E. Tyrtyshnikov   Solving linear systems using wavelet
                                  compression combined with Kronecker
                                  product approximation  . . . . . . . . . 125--135
                 M. Heyouni and   
                       A. Essai   Matrix Krylov subspace methods for
                                  linear systems with multiple right-hand
                                  sides  . . . . . . . . . . . . . . . . . 137--156
          Gérard Meurant   Estimates of the $l_2$ norm of the error
                                  in the conjugate gradient algorithm  . . 157--169
       Maria Morandi Cecchi and   
              Massimo Fornasier   Fast homogenization algorithm based on
                                  asymptotic theory and multiscale schemes 171--186
                A. Nachaoui and   
             J. Abouchabaka and   
                     N. Rafalia   Parallel solvers for the depletion
                                  region identification in metal
                                  semiconductor field effect transistors   187--199
                       H. Sadok   Analysis of the convergence of the
                                  minimal and the orthogonal residual
                                  methods  . . . . . . . . . . . . . . . . 201--216

Numerical Algorithms
Volume 40, Number 3, November, 2005

                F. Marcuzzi and   
              M. Morandi Cecchi   A parallel solver for adaptive finite
                                  element discretizations  . . . . . . . . 217--231
               Jens Struckmeier   A deterministic scheme for
                                  Smoluchowski's coagulation equation
                                  based on binary grid refinement  . . . . 233--249
            Rida T. Farouki and   
             Chang Yong Han and   
                      Joel Hass   Boundary evaluation algorithms for
                                  Minkowski combinations of complex sets
                                  using topological analysis of implicit
                                  curves . . . . . . . . . . . . . . . . . 251--283
                W. Auzinger and   
         H. Hofstätter and   
                 W. Kreuzer and   
             E. Weinmüller   Modified defect correction algorithms
                                  for ODEs. Part II: Stiff initial value
                                  problems . . . . . . . . . . . . . . . . 285--303
            Natalia Kopteva and   
               Niall Madden and   
                  Martin Stynes   Grid equidistribution for
                                  reaction--diffusion problems in one
                                  dimension  . . . . . . . . . . . . . . . 305--322

Numerical Algorithms
Volume 40, Number 4, December, 2005

                  F. Fauvet and   
                     J. Thomann   Formal and numerical computations with
                                  resurgent functions  . . . . . . . . . . 323--353
                    A. Aimi and   
               M. Diligenti and   
                   F. Lunardini   Panel clustering method and restriction
                                  matrices for symmetric Galerkin BEM  . . 355--382
       Gareth I. Hargreaves and   
             Nicholas J. Higham   Efficient algorithms for the matrix
                                  cosine and sine  . . . . . . . . . . . . 383--400
                    Piotr Gajda   Smolyak's algorithm for weighted
                                  $L_1$-approximation of multivariate
                                  functions with bounded $r$th mixed
                                  derivatives over $R^d$ . . . . . . . . . 401--414
              J. C. Butcher and   
                     G. Hojjati   Second derivative methods with RK
                                  stability  . . . . . . . . . . . . . . . 415--429


Numerical Algorithms
Volume 41, Number 1, January, 2006

                 M. Bozzini and   
              L. Lenarduzzi and   
                    R. Schaback   Kernel B-splines and interpolation . . . 1--16
                 Scott A. Sarra   Digital total variation filtering as
                                  postprocessing for Chebyshev
                                  pseudospectral methods for conservation
                                  laws . . . . . . . . . . . . . . . . . . 17--33
Günter W. Mühlbach and   
                   Yuehong Tang   Computing ECT-B-splines recursively  . . 35--78
        Michael Breuß and   
         Andrea Bürgel and   
                Thomas Brox and   
               Thomas Sonar and   
               Joachim Weickert   Numerical aspects of TV flow . . . . . . 79--101

Numerical Algorithms
Volume 41, Number 2, February, 2006

     Harald Hofstätter and   
                    Othmar Koch   Analysis of a defect correction method
                                  for geometric integrators  . . . . . . . 103--126
María-Luisa Rapún and   
         Francisco-Javier Sayas   Boundary integral approximation of a
                                  heat-diffusion problem in time-harmonic
                                  regime . . . . . . . . . . . . . . . . . 127--160
               Silvana Ilie and   
          Robert M. Corless and   
                      Greg Reid   Numerical solutions of index-$1$
                                  differential algebraic equations can be
                                  computed in polynomial time  . . . . . . 161--171
               Zhen-Jun Shi and   
                       Jie Shen   On memory gradient method with trust
                                  region for unconstrained optimization    173--196
               Olga Taussky and   
                      John Todd   Cholesky, Toeplitz and the triangular
                                  factorization of symmetric matrices  . . 197--202

Numerical Algorithms
Volume 41, Number 3, March, 2006

              I. Al-Subaihi and   
                   G. A. Watson   An algorithm for matching point sets
                                  using the $l_1$ norm . . . . . . . . . . 203--217
        Marek J. \'Smieta\'nski   An approximate Newton method for
                                  non-smooth equations with finite max
                                  functions  . . . . . . . . . . . . . . . 219--238
          Heinz H. Bauschke and   
       Patrick L. Combettes and   
                  Serge G. Kruk   Extrapolation algorithm for
                                  affine-convex feasibility problems . . . 239--274
             C. van der Mee and   
               G. Rodriguez and   
                      S. Seatzu   Fast computation of two-level circulant
                                  preconditioners  . . . . . . . . . . . . 275--295
                    Rafal Nowak   A method of convergence acceleration of
                                  some continued fractions . . . . . . . . 297--317
              Raf Vandebril and   
                 Gene Golub and   
                 Marc Van Barel   A small note on the scaling of symmetric
                                  positive definite semiseparable matrices 319--326

Numerical Algorithms
Volume 41, Number 4, April, 2006

                Jinhai Chen and   
                      Weiguo Li   An exponential regula falsi method for
                                  solving nonlinear equations  . . . . . . 327--338
                Markus Fenn and   
               Stefan Kunis and   
                   Daniel Potts   Fast evaluation of trigonometric
                                  polynomials from hyperbolic crosses  . . 339--352
              Stefan Paszkowski   Evaluation of a Harrison integral  . . . 353--358
               J. L. Gracia and   
                   E. O'Riordan   A defect-correction parameter-uniform
                                  numerical method for a singularly
                                  perturbed convection-diffusion problem
                                  in one dimension . . . . . . . . . . . . 359--385
               Tony F. Chan and   
                        Ke Chen   On a nonlinear multigrid algorithm with
                                  primal relaxation for the image total
                                  variation minimisation . . . . . . . . . 387--411


Numerical Algorithms
Volume 42, Number 1, May, 2006

             Juan Dominguez and   
María D. González-Lima   A primal-dual interior-point algorithm
                                  for quadratic programming  . . . . . . . 1--30
                  Zhongxiao Jia   Using cross-product matrices to compute
                                  the SVD  . . . . . . . . . . . . . . . . 31--61
                 Neculai Andrei   An acceleration of gradient descent
                                  algorithm with backtracking for
                                  unconstrained optimization . . . . . . . 63--73
              Simon Hubbert and   
             Stefan Müller   Interpolation with circular basis
                                  functions  . . . . . . . . . . . . . . . 75--90
                      Anonymous   Book Reviews . . . . . . . . . . . . . . 91--94

Numerical Algorithms
Volume 42, Number 2, June, 2006

                Fengbo Hang and   
                     Youming Li   On applicability of the sparse grid
                                  method in the worst case setting . . . . 95--105
                  Thomas Slawig   PDE-constrained control using
                                  Femlab-Control of the Navier--Stokes
                                  equations  . . . . . . . . . . . . . . . 107--126
       Gyurhan H. Nedzhibov and   
           Vejdi I. Hasanov and   
                Milko G. Petkov   On some families of multi-point
                                  iterative methods for solving nonlinear
                                  equations  . . . . . . . . . . . . . . . 127--136
                 E. H. Doha and   
                   A. H. Bhrawy   Efficient spectral-Galerkin algorithms
                                  for direct solution for second-order
                                  differential equations using Jacobi
                                  polynomials  . . . . . . . . . . . . . . 137--164
           H. Hashemi Mehne and   
           A. Hashemi Borzabadi   A numerical method for solving optimal
                                  control problems using state
                                  parametrization  . . . . . . . . . . . . 165--169
                 Shayne Waldron   Computing orthogonal polynomials on a
                                  triangle by degree raising . . . . . . . 171--179
                Jin-jun Hou and   
              Zhen-yun Peng and   
                Xiang-lin Zhang   An iterative method for the least
                                  squares symmetric solution of matrix
                                  equation $A X B = C A X B = C$ . . . . . 181--192
            I. Alonso-Mallo and   
                    B. Cano and   
                   M. J. Moreta   Stable Runge--Kutta--Nyström methods for
                                  dissipative stiff problems . . . . . . . 193--203

Numerical Algorithms
Volume 42, Number 3--4, July, 2006

              Michele Benzi and   
       Ljiljana Cvetkovi\'c and   
                Michael Neumann   Preface  . . . . . . . . . . . . . . . . 205--206
              Zhong-Zhi Bai and   
                 Jun-Liang Dong   A modified damped Newton method for
                                  linear complementarity problems  . . . . 207--228
           Ljiljana Cvetkovi\'c   $H$-matrix theory vs. eigenvalue
                                  localization . . . . . . . . . . . . . . 229--245
           Lilia Yu. Kolotilina   Bounds for the Perron root,
                                  singularity/nonsingularity conditions,
                                  and eigenvalue inclusion sets  . . . . . 247--280
            Volker Mehrmann and   
                   Chunchao Shi   Transformation of high order linear
                                  differential-algebraic systems to first
                                  order  . . . . . . . . . . . . . . . . . 281--307
                Daniel B. Szyld   The many proofs of an identity on the
                                  norm of oblique projections  . . . . . . 309--323
       Ljiljana Cvetkovi\'c and   
              Vladimir Kosti\'c   New subclasses of block $H$-matrices
                                  with applications to parallel
                                  decomposition-type relaxation methods    325--334
       Ljiljana Cvetkovi\'c and   
               Djurdjica Takaci   On matrices with operator entries  . . . 335--344
        Marko D. Petkovi\'c and   
      Predrag S. Stanimirovi\'c   Interpolation algorithm of
                                  Leverrier--Faddeev type for polynomial
                                  matrices . . . . . . . . . . . . . . . . 345--361
      Miodrag S. Petkovi\'c and   
         Ljiljana D. Petkovi\'c   On the convergence of the sequences of
                                  Gerschgorin-like disks . . . . . . . . . 363--377


Numerical Algorithms
Volume 43, Number 1, September, 2006

              Stefan Becuwe and   
                     Annie Cuyt   On the fast solution of Toeplitz-block
                                  linear systems arising in multivariate
                                  approximation theory . . . . . . . . . . 1--24
                  M. Ganesh and   
                  S. C. Hawkins   A spectrally accurate algorithm for
                                  electromagnetic scattering in three
                                  dimensions . . . . . . . . . . . . . . . 25--60
              Wilhelm Heinrichs   Least-squares spectral collocation with
                                  the overlapping Schwarz method for the
                                  incompressible Navier--Stokes equations  61--73
                G. Casciola and   
               E. Franchini and   
                      L. Romani   The mixed directional
                                  difference-summation algorithm for
                                  generating the Bézier net of a trivariate
                                  four-direction Box-spline  . . . . . . . 75--98
        Gennady Yu. Kulikov and   
              Sergey K. Shindin   One-leg variable-coefficient formulas
                                  for ordinary differential equations and
                                  local-global step size control . . . . . 99--121

Numerical Algorithms
Volume 43, Number 2, October, 2006

            A. Karageorghis and   
              Y.-S. Smyrlis and   
                   T. Tsangaris   A matrix decomposition MFS algorithm for
                                  certain linear elasticity problems . . . 123--149
              Dario A. Bini and   
                      Ana Marco   Computing curve intersection by means of
                                  simultaneous iterations  . . . . . . . . 151--175
                  Amin Boumenir   Power series solutions for the KPP
                                  equation . . . . . . . . . . . . . . . . 177--187
             G. Alistair Watson   Fitting enclosing cylinders to data in
                                  $R^n$  . . . . . . . . . . . . . . . . . 189--196

Numerical Algorithms
Volume 43, Number 3, November, 2006

              Serena Morigi and   
             Lothar Reichel and   
              Fiorella Sgallari   A truncated projected SVD method for
                                  linear discrete ill-posed problems . . . 197--213
        E. X. L. de Andrade and   
                   A. Sri Ranga   Modified Chebyshev algorithm: some
                                  applications . . . . . . . . . . . . . . 215--233
                     Yves Lucet   Fast Moreau envelope computation I:
                                  numerical algorithms . . . . . . . . . . 235--249
              James Baglama and   
                 Lothar Reichel   Restarted block Lanczos
                                  bidiagonalization methods  . . . . . . . 251--272
                Jisheng Kou and   
                      Yitian Li   A variant of Chebyshev's method with
                                  sixth-order convergence  . . . . . . . . 273--278
                   C. Brezinski   The life and work of André Cholesky . . . 279--288
               Claude Brezinski   Book reviews . . . . . . . . . . . . . . 289--294

Numerical Algorithms
Volume 43, Number 4, December, 2006

                  A. G. Bratsos   A modified predictor--corrector scheme
                                  for the two-dimensional sine-Gordon
                                  equation . . . . . . . . . . . . . . . . 295--308
                 Vita Rutka and   
               Andreas Wiegmann   Explicit jump immersed interface method
                                  for virtual material design of the
                                  effective elastic moduli of composite
                                  materials  . . . . . . . . . . . . . . . 309--330
         Abeer Ali Abushama and   
               Bernard Bialecki   Modified nodal cubic spline collocation
                                  for biharmonic equations . . . . . . . . 331--353
                  M. Ganesh and   
                    K. Mustapha   A fully discrete $H^1$-Galerkin method
                                  with quadrature for nonlinear
                                  advection-diffusion-reaction equations   355--383
         Marcin Studniarski and   
               El Desouky Rahmo   Approximating Clarke's subgradients of
                                  semismooth functions by divided
                                  differences  . . . . . . . . . . . . . . 385--392


Numerical Algorithms
Volume 44, Number 1, January, 2007

              Wilhelm Heinrichs   An adaptive spectral least-squares
                                  scheme for the Burgers equation  . . . . 1--10
                Tao-Wen Liu and   
                    Dong-Hui Li   A cautious BFGS update for reduced
                                  Hessian SQP  . . . . . . . . . . . . . . 11--28
                   Marc Fuentes   Diagonalization of the symmetrized
                                  discrete $i$-th right shift operator: an
                                  elementary proof . . . . . . . . . . . . 29--43
                Sergio Amat and   
             Sonia Busquier and   
               J. Carlos Trillo   On multiresolution schemes using a
                                  stencil selection procedure:
                                  applications to ENO schemes  . . . . . . 45--68
               Sofiya Ostrovska   The approximation of logarithmic
                                  function by $q$-Bernstein polynomials in
                                  the case $q > 1$  . . . . . . . . . . . . 69--82
         Wies\law Krajewski and   
                  Umberto Viaro   On MIMO model reduction by the weighted
                                  equation-error approach  . . . . . . . . 83--98

Numerical Algorithms
Volume 44, Number 2, February, 2007

                  S. Morigi and   
                 L. Reichel and   
                    F. Sgallari   Orthogonal projection regularization
                                  operators  . . . . . . . . . . . . . . . 99--114
           Marnix Van Daele and   
            Guido Vanden Berghe   P-stable Obrechkoff methods of arbitrary
                                  order for second-order differential
                                  equations  . . . . . . . . . . . . . . . 115--131
             J. M. Carnicer and   
                C. Godés   Generalized principal lattices and cubic
                                  pencils  . . . . . . . . . . . . . . . . 133--145
          Vedat Suat Erturk and   
                  Shaher Momani   A reliable algorithm for solving
                                  tenth-order boundary value problems  . . 147--158
                 Ch. Roland and   
                R. Varadhan and   
                C. E. Frangakis   Squared polynomial extrapolation methods
                                  with cycling: an application to the
                                  positron emission tomography problem . . 159--172
              Mao-lin Liang and   
              Chuan-hua You and   
                    Li-fang Dai   An efficient algorithm for the
                                  generalized centro-symmetric solution of
                                  matrix equation $A X B = C$  . . . . . . 173--184
           G. M. Amiraliyev and   
                 Hakki Duru and   
              I. G. Amiraliyeva   A parameter-uniform numerical method for
                                  a Sobolev problem with initial layer . . 185--203

Numerical Algorithms
Volume 44, Number 3, March, 2007

     Stéphane Mallat and   
           Gabriel Peyré   A review of Bandlet methods for
                                  geometrical image representation . . . . 205--234
         Michael S. Floater and   
       Atgeirr F. Rasmussen and   
                    Ulrich Reif   Extrapolation methods for approximating
                                  arc length and surface area  . . . . . . 235--248
             Stamatis Koumandos   On a conjectured inequality of Gautschi
                                  and Leopardi for Jacobi polynomials  . . 249--253
                O. Kounchev and   
                      H. Render   Convergence of polyharmonic splines on
                                  semi-regular grids $\mathbb{Z} \times a
                                  \mathbb{Z}^n$ for \boldmath $a \otimes
                                  0$ . . . . . . . . . . . . . . . . . . . 255--272
                  S. P. Sidorov   Optimal interpolation of convergent
                                  algebraic series . . . . . . . . . . . . 273--279
                   D. G. Natsis   Solitary wave solutions of the
                                  one-dimensional Boussinesq equations . . 281--289
                  Ch. Tsitouras   Runge--Kutta interpolants for high
                                  precision computations . . . . . . . . . 291--307

Numerical Algorithms
Volume 44, Number 4, April, 2007

 Ruymán Cruz-Barroso and   
 Pablo González-Vera and   
             Olav Njåstad   On bi-orthogonal systems of
                                  trigonometric functions and quadrature
                                  formulas for periodic integrands . . . . 309--333
      Dominique Küpper and   
           Jürgen Lehn and   
      Andreas Rößler   A step size control algorithm for the
                                  weak approximation of stochastic
                                  differential equations . . . . . . . . . 335--346
                   Elie Leopold   Perturbed recurrence relations. II. The
                                  general case . . . . . . . . . . . . . . 347--366
             Marcel G. de Bruin   `Classical' convergence theorems for
                                  generalized continued fractions  . . . . 367--380
                  V. Kanwar and   
                    S. K. Tomar   Modified families of multi-point
                                  iterative methods for solving nonlinear
                                  equations  . . . . . . . . . . . . . . . 381--389
              E. Berriochoa and   
              A. Cachafeiro and   
            F. Marcellán   A new numerical quadrature formula on
                                  the unit circle  . . . . . . . . . . . . 391--401


Numerical Algorithms
Volume 45, Number 1--4, August, 2007

          Stefano De Marchi and   
      Michela Redivo-Zaglia and   
                 Marco Vianello   Preface  . . . . . . . . . . . . . . . . 1--9
                Walter Gautschi   A guided tour through my bibliography    11--35
           M. R. Capobianco and   
                   G. Criscuolo   Some remarks on the numerical
                                  computation of integrals on an unbounded
                                  interval . . . . . . . . . . . . . . . . 37--48
              Gasper Jaklic and   
               Jernej Kozak and   
             Marjeta Krajnc and   
                Vito Vitrih and   
                     Emil Zagar   Three-pencil lattices on triangulations  49--60
           Annamaria Mazzia and   
     Massimiliano Ferronato and   
               Giorgio Pini and   
             Giuseppe Gambolati   A comparison of numerical integration
                                  rules for the meshless local
                                  Petrov--Galerkin method  . . . . . . . . 61--74
               Paul C. Leopardi   Positive weight quadrature on the sphere
                                  and monotonicities of Jacobi polynomials 75--87
                 Joris Van Deun   Eigenvalue problems to compute almost
                                  optimal points for rational
                                  interpolation with prescribed poles  . . 89--99
         Takemitsu Hasegawa and   
              Susumu Hibino and   
             Yohsuke Hosoda and   
                Ichizo Ninomiya   An extended doubly-adaptive quadrature
                                  method based on the combination of the
                                  Ninomiya and the FLR schemes . . . . . . 101--112
                   Carl de Boor   Multivariate polynomial interpolation:
                                  conjectures concerning GC-sets . . . . . 113--125
        Ekatherina A. Karatsuba   On an approach to the study of the
                                  Jaynes--Cummings sum in quantum optics   127--137
                    Dirk Laurie   Calculation of Radau--Kronrod and
                                  Lobatto--Kronrod quadrature formulas . . 139--152
María Álvarez de Morales and   
     Lidia Fernández and   
         Teresa E. Pérez   On differential properties for bivariate
                                  orthogonal polynomials . . . . . . . . . 153--166
              Simon Hubbert and   
             Stefan Müller   Thin plate spline interpolation on the
                                  unit interval  . . . . . . . . . . . . . 167--177
                    Yuan Xu and   
             Oleg Tischenko and   
             Christoph Hoeschen   Image reconstruction by OPED algorithm
                                  with averaging . . . . . . . . . . . . . 179--193
               Dario Fasino and   
                 Luca Gemignani   Structured eigenvalue problems for
                                  rational Gauss quadrature  . . . . . . . 195--204
       Iurie Nicolae Caraus and   
              Feras M. Al Faqih   Approximate solution of singular
                                  integro-differential equations in
                                  generalized Hölder spaces . . . . . . . . 205--215
            Walter Gautschi and   
                  Paul Leopardi   Conjectured inequalities for Jacobi
                                  polynomials and their largest zeros  . . 217--230
                 Shayne Waldron   Hermite polynomials on the plane . . . . 231--238
           Carl Heinrich Rohwer   The estimation of moments of an unknown
                                  error distribution in the discrete pulse
                                  transform  . . . . . . . . . . . . . . . 239--251
            F. A. Costabile and   
                  F. Dell'Accio   New embedded boundary-type quadrature
                                  formulas for the simplex . . . . . . . . 253--267
                Giorgio Mantica   Fractal measures and polynomial
                                  sampling: I.F.S.--Gaussian integration   269--281
             Toshihide Ueno and   
             Simon Truscott and   
                   Masami Okada   New spline basis functions for sampling
                                  approximations . . . . . . . . . . . . . 283--293
                    Tomas Sauer   Approximate varieties, approximate
                                  ideals and dimension reduction . . . . . 295--313
               Carlo Drioli and   
               Davide Rocchesso   On the use of kernel-based methods in
                                  sound synthesis by physical modeling . . 315--329
           Roberto Bertelle and   
            Maria Rosaria Russo   An approach to the Gummel map by vector
                                  extrapolation methods  . . . . . . . . . 331--343
       Gregory E. Fasshauer and   
                  Jack G. Zhang   On choosing ``optimal'' shape parameters
                                  for RBF approximation  . . . . . . . . . 345--368
               Jean-Paul Berrut   A formula for the error of finite
                                  sinc-interpolation over a finite
                                  interval . . . . . . . . . . . . . . . . 369--374
       Oliver Salazar Celis and   
                 Annie Cuyt and   
               Brigitte Verdonk   Rational approximation of vertical
                                  segments . . . . . . . . . . . . . . . . 375--388
                R. Brownlee and   
               A. N. Gorban and   
                    J. Levesley   Stable simulation of fluid flow with
                                  high-Reynolds number using Ehrenfests'
                                  steps  . . . . . . . . . . . . . . . . . 389--408


Numerical Algorithms
Volume 46, Number 1, September, 2007

                Katja Ihsberner   Roundoff error analysis of fast DCT
                                  algorithms in fixed point arithmetic . . 1--22
                Dongxiu Xie and   
              Ningjun Huang and   
                      Qin Zhang   An inverse eigenvalue problem and a
                                  matrix approximation problem for
                                  symmetric skew-Hamiltonian matrices  . . 23--34
     M. A. Hernández and   
                      N. Romero   On the efficiency index of one-point
                                  iterative processes  . . . . . . . . . . 35--44
         Athanassios G. Bratsos   A second order numerical scheme for the
                                  solution of the one-dimensional
                                  Boussinesq equation  . . . . . . . . . . 45--58
               Dennis Cates and   
                      Anne Gelb   Detecting derivative discontinuity
                                  locations in piecewise continuous
                                  functions from Fourier spectral data . . 59--84
              Xiaoping Wang and   
             Weizhong Zhang and   
                    Liyan Zhang   Intersection of a ruled surface with a
                                  free-form surface  . . . . . . . . . . . 85--100
              Xiaoping Wang and   
             Weizhong Zhang and   
                    Liyan Zhang   Erratum: Intersection of a ruled surface
                                  with a free-form surface . . . . . . . . 101--103

Numerical Algorithms
Volume 46, Number 2, October, 2007

                 Hong Zheng and   
                     Jianlin Li   A practical solution for KKT systems . . 105--119
                 Peter K. Moore   The impact of parameter selection on the
                                  performance of an automatic adaptive
                                  code for solving reaction-diffusion
                                  equations in three dimensions  . . . . . 121--139
           Alina S\^\intamarian   A generalization of Euler's constant . . 141--151
                 Lunji Song and   
                     Yujiang Wu   Incremental unknowns in
                                  three-dimensional stationary problem . . 153--171
                Zhongyi Liu and   
                      Wenyu Sun   An infeasible interior-point algorithm
                                  with full-Newton step for linear
                                  optimization . . . . . . . . . . . . . . 173--188
           Per Christian Hansen   Regularization Tools version 4.0 for
                                  Matlab 7.3 . . . . . . . . . . . . . . . 189--194

Numerical Algorithms
Volume 46, Number 3, November, 2007

               A. H. Khater and   
            A. B. Shamardan and   
            D. K. Callebaut and   
                M. R. A. Sakran   Numerical solutions of integral and
                                  integro-differential equations using
                                  Legendre polynomials . . . . . . . . . . 195--218
                   Pawel Keller   A method for indefinite integration of
                                  oscillatory and singular functions . . . 219--251
          Miodrag M. Spalevi\'c   A note on generalized averaged Gaussian
                                  formulas . . . . . . . . . . . . . . . . 253--264
                Tina Bosner and   
                  Mladen Rogina   Non-uniform exponential tension splines  265--294

Numerical Algorithms
Volume 46, Number 4, December, 2007

  Rodrigo M. S. de Oliveira and   
 Carlos Leonidas S. S. Sobrinho   UPML formulation for truncating
                                  conductive media in curvilinear
                                  coordinates  . . . . . . . . . . . . . . 295--319
                P. Auquiert and   
                  O. Gibaru and   
                       E. Nyiri   On the cubic $L_1$ spline interpolant to
                                  the Heaviside function . . . . . . . . . 321--332
               M. Van Daele and   
               G. Vanden Berghe   P-stable exponentially-fitted Obrechkoff
                                  methods of arbitrary order for
                                  second-order differential equations  . . 333--350
          Sergio Barrachina and   
               Peter Benner and   
Enrique S. Quintana-Ortí   Efficient algorithms for generalized
                                  algebraic Bernoulli equations based on
                                  the matrix sign function . . . . . . . . 351--368
             Frances Y. Kuo and   
               Ian H. Sloan and   
          Henryk Wo\'zniakowski   Periodization strategy may fail in high
                                  dimensions . . . . . . . . . . . . . . . 369--391


Numerical Algorithms
Volume 47, Number 1, January, 2008

               I. A. Al-Subaihi   An algorithm for fitting circular arcs
                                  to data using the $l_1$ norm . . . . . . 1--14
                 Skander Belhaj   A fast method to block-diagonalize a
                                  Hankel matrix  . . . . . . . . . . . . . 15--34
              Stefan Paszkowski   Convergence acceleration of orthogonal
                                  series . . . . . . . . . . . . . . . . . 35--62
                   R. S. Temsah   Spectral methods for some singularly
                                  perturbed third order ordinary
                                  differential equations . . . . . . . . . 63--80
               A. H. Khater and   
            A. B. Shamardan and   
            D. K. Callebaut and   
                M. R. A. Sakran   Solving integral equations with
                                  logarithmic kernels by Chebyshev
                                  polynomials  . . . . . . . . . . . . . . 81--93
                  V. Kanwar and   
              Sukhjit Singh and   
                      S. Bakshi   Simple geometric constructions of
                                  quadratically and cubically convergent
                                  iterative functions to solve nonlinear
                                  equations  . . . . . . . . . . . . . . . 95--107

Numerical Algorithms
Volume 47, Number 2, February, 2008

             Roger B. Sidje and   
           Alan B. Williams and   
                  Kevin Burrage   Fast generalized cross validation using
                                  Krylov subspace methods  . . . . . . . . 109--131
           A. Jason Boggess and   
              B. Eric Bunch and   
            C. Charles N. Moore   Fourier series and the Lubkin
                                  $W$-transform  . . . . . . . . . . . . . 133--142
                 Neculai Andrei   Another hybrid conjugate gradient
                                  algorithm for unconstrained optimization 143--156
         Ioannis K. Argyros and   
                 Livinus U. Uko   On the convergence of the midpoint
                                  method . . . . . . . . . . . . . . . . . 157--167
        Ramesh Chand Mittal and   
                    Ruchi Nigam   Solution of a class of singular boundary
                                  value problems . . . . . . . . . . . . . 169--179
                 A. Mandloi and   
                   A. K. Pathak   $(0, 2)$ Pál-type interpolation on a
                                  circle in the complex plane involving
                                  Möbius transforms . . . . . . . . . . . . 181--190
            Desanka Radunovi\'c   Multiresolution exponential B-splines
                                  and singularly perturbed boundary
                                  problem  . . . . . . . . . . . . . . . . 191--210

Numerical Algorithms
Volume 47, Number 3, March, 2008

                  Linas Vepstas   An efficient algorithm for accelerating
                                  the convergence of oscillatory series,
                                  useful for computing the polylogarithm
                                  and Hurwitz zeta functions . . . . . . . 211--252
              Yuli Eidelman and   
             Luca Gemignani and   
                 Israel Gohberg   Efficient eigenvalue computation for
                                  quasiseparable Hermitian matrices under
                                  low rank perturbations . . . . . . . . . 253--273
              Sayed Mahmoud and   
                   Xiaojun Chen   A verified inexact implicit Runge--Kutta
                                  method for nonsmooth ODEs  . . . . . . . 275--290
                  P. Maroni and   
                    Z. da Rocha   Connection coefficients between
                                  orthogonal polynomials and the canonical
                                  sequence: an approach based on symbolic
                                  computation  . . . . . . . . . . . . . . 291--314

Numerical Algorithms
Volume 47, Number 4, April, 2008

                P. Mokhtary and   
                 S. M. Hosseini   ``Rescale and modify'' implementation of
                                  IRKS methods . . . . . . . . . . . . . . 315--325
            Xiangchao Zhang and   
                Xiangqian Jiang   Numerical analyses of the boundary
                                  effect of radial basis functions in $3$D
                                  surface reconstruction . . . . . . . . . 327--339
                Yunkai Zhou and   
                    Yousef Saad   Block Krylov--Schur method for large
                                  symmetric eigenvalue problems  . . . . . 341--359
                   Kai Diethelm   An investigation of some nonclassical
                                  methods for the numerical approximation
                                  of Caputo-type fractional derivatives    361--390
   Joaquim J. Júdice and   
              Marcos Raydan and   
    Silvério S. Rosa and   
               Sandra A. Santos   On the solution of the symmetric
                                  eigenvalue complementarity problem by
                                  the spectral projected gradient
                                  algorithm  . . . . . . . . . . . . . . . 391--407


Numerical Algorithms
Volume 48, Number 1--3, July, 2008

               Carl de Boor and   
             Christian Gout and   
              Angela Kunoth and   
               Christophe Rabut   Multivariate approximation: theory and
                                  applications. An overview  . . . . . . . 1--9
               Richard Vale and   
                 Shayne Waldron   Tight frames generated by finite
                                  nonabelian groups  . . . . . . . . . . . 11--27
Victoria Hernández-Mederos and   
  Pedro L. del Ángel and   
        Jorge Estrada-Sarlabous   Isotropic umbrella based triangulation
                                  of regular parametric surfaces . . . . . 29--47
                  S. Setzer and   
                  G. Steidl and   
                      T. Teuber   Restoration of images with rotated
                                  shapes . . . . . . . . . . . . . . . . . 49--66
                    C. Gout and   
              C. Le Guyader and   
                  L. Romani and   
            A.-G. Saint-Guirons   Approximation of surfaces with fault(s)
                                  and/or rapidly varying data, using a
                                  segmentation process, $D^m$-splines and
                                  the finite element method  . . . . . . . 67--92
              Gasper Jaklic and   
               Jernej Kozak and   
             Marjeta Krajnc and   
                Vito Vitrih and   
                     Emil Zagar   Barycentric coordinates for Lagrange
                                  interpolation over lattices on a simplex 93--104
          Carole Le Guyader and   
                 Christian Gout   Geodesic active contour under
                                  geometrical conditions: theory and $3$D
                                  applications . . . . . . . . . . . . . . 105--133
           Christophe Rabut and   
                 Milvia Rossini   Polyharmonic multiresolution analysis:
                                  an overview and some new results . . . . 135--160
          Carsten Burstedde and   
                  Angela Kunoth   A wavelet-based nested iteration-inexact
                                  conjugate gradient algorithm for
                                  adaptively solving elliptic PDEs . . . . 161--188
           Nicolas Forcadel and   
          Carole Le Guyader and   
                 Christian Gout   Generalized fast marching method:
                                  applications to image segmentation . . . 189--211
                  S. B. Damelin   A walk through energy, discrepancy,
                                  numerical integration and group
                                  invariant measures on measurable subsets
                                  of Euclidean space . . . . . . . . . . . 213--235
             Larry L. Schumaker   Computing bivariate splines in scattered
                                  data fitting and the finite-element
                                  method . . . . . . . . . . . . . . . . . 237--260
           Karine Dadourian and   
               Jacques Liandrat   Analysis of some bivariate non-linear
                                  interpolatory subdivision schemes  . . . 261--278

Numerical Algorithms
Volume 48, Number 4, August, 2008

                   G. Landi and   
            E. Loli Piccolomini   A projected Newton--CG method for
                                  nonnegative astronomical image
                                  deblurring . . . . . . . . . . . . . . . 279--300
           Mikael Slevinsky and   
                 Hassan Safouhi   Numerical treatment of a twisted tail
                                  using extrapolation methods  . . . . . . 301--316
                    Wang Haijun   On new third-order convergent iterative
                                  formulas . . . . . . . . . . . . . . . . 317--325
   J. Martín-Vaquero and   
                 J. Vigo-Aguiar   Exponential fitted Gauss, Radau and
                                  Lobatto methods of low order . . . . . . 327--346
               Xinghua Wang and   
                    Peipei Tang   A generalization of Müller's iteration
                                  method based on standard information . . 347--359
         Ioannis K. Argyros and   
                 Sa\"\id Hilout   A Fréchet derivative-free cubically
                                  convergent method for set-valued maps    361--371
    Virginia Alarcón and   
                Sergio Amat and   
             Sonia Busquier and   
               Fernando Manzano   High order iterative schemes for
                                  quadratic equations  . . . . . . . . . . 373--381
                   Elie Leopold   Perturbed recurrence relations. III. The
                                  general case---some new applications . . 383--402


Numerical Algorithms
Volume 49, Number 1--4, December, 2008

             Giampietro Allasia   Biographic notes on Luigi Gatteschi  . . 1--4
             Giampietro Allasia   Luigi Gatteschi --- List of publications 5--9
            Walter Gautschi and   
                 Carla Giordano   Luigi Gatteschi's work on asymptotics of
                                  special functions and their zeros  . . . 11--31
                    J. Abad and   
         F. J. Gómez and   
                       J. Sesma   An algorithm to obtain global solutions
                                  of the double confluent Heun equation    33--51
                    Horst Alzer   Gamma function inequalities  . . . . . . 53--84
               C. Brezinski and   
               G. Rodriguez and   
                      S. Seatzu   Error estimates for linear systems with
                                  applications to regularization . . . . . 85--104
               Wenchang Chu and   
                  Xiaoyuan Wang   Abel's lemma on summation by parts and
                                  terminating $q$-series identities  . . . 105--128
         Djurdje Cvijovi\'c and   
               H. M. Srivastava   Closed-form evaluations of certain
                                  definite integrals by employing the
                                  Cauchy integral theorem  . . . . . . . . 129--141
               Kathy Driver and   
            Kerstin Jordaan and   
                  Norbert Mbuyi   Interlacing of the zeros of Jacobi
                                  polynomials with different parameters    143--152
 Árpád Elbert and   
                Andrea Laforgia   The zeros of the complementary error
                                  function . . . . . . . . . . . . . . . . 153--157
              Bruno Gabutti and   
             Giampietro Allasia   Evaluation of $q$-gamma function and
                                  $q$-analogues by iterative algorithms    159--168
                 Luis Garza and   
    Javier Hernández and   
     Francisco Marcellán   Spectral transformations of measures
                                  supported on the unit circle and the
                                  Szeg\Ho transformation . . . . . . . . . 169--185
                Walter Gautschi   The numerical evaluation of a
                                  challenging integral . . . . . . . . . . 187--194
                Walter Gautschi   On a conjectured inequality for the
                                  largest zero of Jacobi polynomials . . . 195--198
      Stanis\law Lewanowicz and   
              Pawel Wo\'zny and   
           Iván Area and   
                  Eduardo Godoy   Multivariate generalized Bernstein
                                  polynomials: identities for orthogonal
                                  polynomials of two variables . . . . . . 199--220
                  Lee Lorch and   
              Martin E. Muldoon   Monotonic sequences related to zeros of
                                  Bessel functions . . . . . . . . . . . . 221--233
                   J. N. Lyness   Numerical evaluation of a
                                  fixed-amplitude variable-phase integral  235--249
                  P. Maroni and   
                       M. Mejri   The symmetric $D_\omega$-semi-classical
                                  orthogonal polynomials of class one  . . 251--282
             G. Mastroianni and   
                    G. Monegato   Some new applications of truncated
                                  Gauss--Laguerre quadrature formulas  . . 283--297
         Pierpaolo Natalini and   
            Roberto Patrizi and   
                 Paolo E. Ricci   The Dirichlet problem for the Laplace
                                  equation in a starlike domain of a
                                  Riemann surface  . . . . . . . . . . . . 299--313
            Sotirios E. Notaris   Positivity of the weights of
                                  interpolatory quadrature formulae with
                                  Bernstein--Szeg\Ho abscissae . . . . . . 315--329
                  W.-Y. Qiu and   
                        R. Wong   Global asymptotic expansions of the
                                  Laguerre polynomials --- a
                                  Riemann--Hilbert approach  . . . . . . . 331--372
          André Ronveaux   Orthogonal polynomials --- centroid of
                                  their zeroes . . . . . . . . . . . . . . 373--385
                  Javier Segura   Interlacing of the zeros of contiguous
                                  hypergeometric functions . . . . . . . . 387--407
           Alvise Sommariva and   
             Marco Vianello and   
               Renato Zanovello   Nontensorial Clenshaw--Curtis cubature   409--427


Numerical Algorithms
Volume 50, Number 1, January, 2009

                       Li Zhang   Two modified Dai--Yuan nonlinear
                                  conjugate gradient methods . . . . . . . 1--16
                  Liang Bao and   
                  Yiqin Lin and   
                      Yimin Wei   Restarted generalized Krylov subspace
                                  methods for solving large-scale
                                  polynomial eigenvalue problems . . . . . 17--32
                Brian D. Sutton   Computing the complete CS decomposition  33--65
                 E. H. Doha and   
               A. H. Bhrawy and   
             W. M. Abd-Elhameed   Jacobi spectral Galerkin method for
                                  elliptic Neumann problems  . . . . . . . 67--91
                Walter Gautschi   On conjectured inequalities for zeros of
                                  Jacobi polynomials . . . . . . . . . . . 93--96

Numerical Algorithms
Volume 50, Number 2, February, 2009

                     Achiya Dax   A hybrid algorithm for solving linear
                                  inequalities in a least squares sense    97--114
         Giovanna Pittaluga and   
               Laura Sacripante   An algorithm for solving Fredholm
                                  integro-differential equations . . . . . 115--126
              Zhuo-hua Peng and   
                   Jin-wang Liu   The generalized bisymmetric solutions of
                                  the matrix equation $ A_1 X_1 B_1 + A_2
                                  X_2 B_2 + \cdots + A_\ell X_\ell B_\ell
                                  = C $ and its optimal approximation  . . 127--144
             J. M. Carnicer and   
                C. Godés   Classification of sets satisfying the
                                  geometric characterization . . . . . . . 145--154
       Christos Kravvaritis and   
              Marilena Mitrouli   Compound matrices: properties, numerical
                                  issues and analytical computations . . . 155--177
                  F. Fauvet and   
            F. Richard-Jung and   
                     J. Thomann   Automatic computation of Stokes matrices 179--213
           Andreas Karageorghis   Efficient MFS algorithms in regular
                                  polygonal domains  . . . . . . . . . . . 215--240

Numerical Algorithms
Volume 50, Number 3, March, 2009

                Ira Neitzel and   
           Uwe Prüfert and   
                  Thomas Slawig   Strategies for time-dependent PDE
                                  control with inequality constraints
                                  using an integrated modeling and
                                  simulation environment . . . . . . . . . 241--269
                    Wang Haijun   New third-order method for solving
                                  systems of nonlinear equations . . . . . 271--282
             Torsten Linß   Analysis of a FEM for a coupled system
                                  of singularly perturbed
                                  reaction-diffusion equations . . . . . . 283--291
                Walter Gautschi   New conjectured inequalities for zeros
                                  of Jacobi polynomials  . . . . . . . . . 293--296
                O. Axelsson and   
             J. Karátson   Equivalent operator preconditioning for
                                  elliptic problems  . . . . . . . . . . . 297--380

Numerical Algorithms
Volume 50, Number 4, April, 2009

                  Minho Kim and   
               Jörg Peters   Fast and stable evaluation of
                                  box-splines via the BB-form  . . . . . . 381--399
        Marek J. \'Smieta\'nski   Convergence of a generalized Newton and
                                  an inexact generalized Newton algorithms
                                  for solving nonlinear equations with
                                  nondifferentiable terms  . . . . . . . . 401--415
              Mehdi Dehghan and   
                Fatemeh Shakeri   Method of lines solutions of the
                                  parabolic inverse problem with an
                                  overspecification at a point . . . . . . 417--437
              Mamadou Mboup and   
         Cédric Join and   
                  Michel Fliess   Numerical differentiation with
                                  annihilators in noisy environment  . . . 439--467
                  M. Ganesh and   
                  S. C. Hawkins   A high-order algorithm for multiple
                                  electromagnetic scattering in three
                                  dimensions . . . . . . . . . . . . . . . 469--510


Numerical Algorithms
Volume 51, Number 1, May, 2009

          Gérard Meurant   Gene H. Golub 1932--2007 . . . . . . . . 1--4
              A. Amiraslani and   
                   P. Lancaster   Rayleigh quotient algorithms for
                                  nonsymmetric matrix pencils  . . . . . . 5--22
              Dario A. Bini and   
                 Beatrice Meini   The cyclic reduction algorithm: from
                                  Poisson equation to stochastic processes
                                  and beyond . . . . . . . . . . . . . . . 23--60
               C. Brezinski and   
               G. Rodriguez and   
                      S. Seatzu   Error estimates for the regularization
                                  of least squares problems  . . . . . . . 61--76
              J. C. Butcher and   
                   L. L. Hewitt   The existence of symplectic general
                                  linear methods . . . . . . . . . . . . . 77--84
                    M. Chau and   
                  C. Tauber and   
                     P. Spiteri   Parallel Schwarz alternating methods for
                                  anisotropic diffusion of speckled
                                  medical images . . . . . . . . . . . . . 85--114
                  O. Dubois and   
                      S. H. Lui   Convergence estimates for an optimized
                                  Schwarz method for PDEs with
                                  discontinuous coefficients . . . . . . . 115--131

Numerical Algorithms
Volume 51, Number 2, June, 2009

                   V. Faber and   
                  J. Liesen and   
                P. Tichý   On orthogonal reduction to Hessenberg
                                  form with small bandwidth  . . . . . . . 133--142
                Walter Gautschi   High-order generalized Gauss--Radau and
                                  Gauss--Lobatto formulae for Jacobi and
                                  Laguerre weight functions  . . . . . . . 143--149
                  L. Giraud and   
                      A. Haidar   Parallel algebraic hybrid solvers for
                                  large $3$D convection-diffusion problems 151--177
             Mariya Ishteva and   
        Lieven De Lathauwer and   
                P.-A. Absil and   
              Sabine Van Huffel   Differential-geometric Newton method for
                                  the best rank-$({R}_1, {R}_2, {R}_3)$
                                  approximation of tensors . . . . . . . . 179--194
                  K. Jbilou and   
                 L. Reichel and   
                       H. Sadok   Vector extrapolation enhanced TSVD for
                                  linear discrete ill-posed problems . . . 195--208
            Daniel Kressner and   
    Christian Schröder and   
               David S. Watkins   Implicit QR algorithms for palindromic
                                  and even eigenvalue problems . . . . . . 209--238
               James V. Lambers   Krylov subspace spectral methods for the
                                  time-dependent Schrödinger equation with
                                  non-smooth potentials  . . . . . . . . . 239--280

Numerical Algorithms
Volume 51, Number 3, July, 2009

             Shev MacNamara and   
                  Kevin Burrage   Krylov and steady-state techniques for
                                  the solution of the chemical master
                                  equation for the mitogen-activated
                                  protein kinase cascade . . . . . . . . . 281--307
          Gérard Meurant   Estimates of the trace of the inverse of
                                  a symmetric matrix using the modified
                                  Chebyshev algorithm  . . . . . . . . . . 309--318
        Katharine M. Mullen and   
          Ivo H. M. van Stokkum   The variable projection algorithm in
                                  time-resolved spectroscopy, microscopy
                                  and mass spectrometry applications . . . 319--340
                 L. Reichel and   
               G. Rodriguez and   
                      S. Seatzu   Error estimates for large-scale
                                  ill-posed problems . . . . . . . . . . . 341--361
                 Zdenek Strakos   Model reduction using the Vorobyev
                                  moment problem . . . . . . . . . . . . . 363--379
              Liangmin Zhou and   
                 Lijing Lin and   
                  Yimin Wei and   
                  Sanzheng Qiao   Perturbation analysis and condition
                                  numbers of scaled total least squares
                                  problems . . . . . . . . . . . . . . . . 381--399

Numerical Algorithms
Volume 51, Number 4, August, 2009

          Marie-Laurence Mazure   A few remarks on recurrence relations
                                  for geometrically continuous piecewise
                                  Chebyshevian B-splines . . . . . . . . . 401--428
         André Draux and   
             Borhane Moalla and   
                  Mohamed Sadik   Generalized $ q d $ algorithm and
                                  Markov--Bernstein inequalities for
                                  Jacobi weight  . . . . . . . . . . . . . 429--447
         Mikhail V. Bulatov and   
            Guido Vanden Berghe   Two-step fourth order methods for linear
                                  ODEs of the second order . . . . . . . . 449--460
            Sarpono Dimulyo and   
             Zulfiqar Habib and   
                   Manabu Sakai   Fair cubic transition between two
                                  circles with one circle inside or
                                  tangent to the other . . . . . . . . . . 461--476
Marina Delgado-Téllez and   
                  Alberto Ibort   A numerical algorithm for singular
                                  optimal LQ control systems . . . . . . . 477--500


Numerical Algorithms
Volume 52, Number 1, September, 2009

           Bernard Bialecki and   
         Graeme Fairweather and   
           David B. Knudson and   
            D. Abram Lipman and   
              Que N. Nguyen and   
                 Weiwei Sun and   
            Gadalia M. Weinberg   Matrix decomposition algorithms for the
                                  finite element Galerkin method with
                                  piecewise Hermite cubics . . . . . . . . 1--23
           D. K. R. Babajee and   
                   M. Z. Dauhoo   Spectral analysis of the errors of some
                                  families of multi-step Newton-like
                                  methods  . . . . . . . . . . . . . . . . 25--46
           Adhemar Bultheel and   
      Maria-José Cantero   A matricial computation of rational
                                  quadrature formulas on the unit circle   47--68
             William McLean and   
                Kassem Mustapha   Convergence analysis of a discontinuous
                                  Galerkin method for a sub-diffusion
                                  equation . . . . . . . . . . . . . . . . 69--88
                 Bai-Ni Guo and   
                        Feng Qi   A simple proof of logarithmic convexity
                                  of extended mean values  . . . . . . . . 89--92
          Marie-Laurence Mazure   Bernstein-type operators in Chebyshev
                                  spaces . . . . . . . . . . . . . . . . . 93--128

Numerical Algorithms
Volume 52, Number 2, October, 2009

            L. Bayón and   
                 J. M. Grau and   
                 M. M. Ruiz and   
            P. M. Suárez   An application of the algorithm of the
                                  cyclic coordinate descent in
                                  multidimensional optimization problems
                                  with constrained speed . . . . . . . . . 129--149
                   E. Ahusborde   Legendre spectral methods for the
                                  grad-(div) operator with free boundary
                                  conditions . . . . . . . . . . . . . . . 151--171
               Yingzhen Lin and   
                  Yongfang Zhou   Solving nonlinear pseudoparabolic
                                  equations with nonlocal boundary
                                  conditions in reproducing kernel space   173--186
                   M. Dosso and   
                     M. Sadkane   A spectral trichotomy method for
                                  symplectic matrices  . . . . . . . . . . 187--212
              Yasuyo Hatano and   
            Ichizo Ninomiya and   
            Hiroshi Sugiura and   
             Takemitsu Hasegawa   Numerical evaluation of Goursat's
                                  infinite integral  . . . . . . . . . . . 213--224
                H. Mansouri and   
                        C. Roos   A new full-Newton step $O(n)$ infeasible
                                  interior-point algorithm for
                                  semidefinite optimization  . . . . . . . 225--255
         Ioannis K. Argyros and   
                    Hongmin Ren   On an improved local convergence
                                  analysis for the Secant method . . . . . 257--271

Numerical Algorithms
Volume 52, Number 3, November, 2009

            R. Cruz-Barroso and   
    P. González-Vera and   
          F. Perdomo-Pío   An application of Szeg\Ho polynomials to
                                  the computation of certain weighted
                                  integrals on the real line . . . . . . . 273--293
             Ioannis K. Argyros   On Ulm's method using divided
                                  differences of order one . . . . . . . . 295--320
             Livinus U. Uko and   
             Ioannis K. Argyros   Generalized equations, variational
                                  inequalities and a weak Kantorovich
                                  theorem  . . . . . . . . . . . . . . . . 321--333
                    Frank Uhlig   Geometric computation of the numerical
                                  radius of a matrix . . . . . . . . . . . 335--353
               Daniel Potts and   
        Jürgen Prestin and   
                 Antje Vollrath   A fast algorithm for nonequispaced
                                  Fourier transforms on the rotation group 355--384
                 Irem Yaman and   
                 Metin Demiralp   A new rational approximation technique
                                  based on transformational high
                                  dimensional model representation . . . . 385--407
                Walter Gautschi   Variable-precision recurrence
                                  coefficients for nonstandard orthogonal
                                  polynomials  . . . . . . . . . . . . . . 409--418
              Huang Zhengda and   
                     Ma Guochun   On the local convergence of a family of
                                  Euler--Halley type iterations with a
                                  parameter  . . . . . . . . . . . . . . . 419--433
                Burcu Tunga and   
                 Metin Demiralp   Constancy maximization based weight
                                  optimization in high dimensional model
                                  representation . . . . . . . . . . . . . 435--459
              Mehdi Dehghan and   
                     Ali Shokri   A meshless method for numerical solution
                                  of the one-dimensional wave equation
                                  with an integral condition using radial
                                  basis functions  . . . . . . . . . . . . 461--477
María D. González-Lima and   
             Flor Montes de Oca   A Newton-like method for nonlinear
                                  system of equations  . . . . . . . . . . 479--506
             G. Mastroianni and   
                    G. Monegato   Some new applications of truncated
                                  Gauss--Laguerre quadrature formulas  . . 507--507

Numerical Algorithms
Volume 52, Number 4, December, 2009

          I. G. Amiraliyeva and   
               G. M. Amiraliyev   Uniform difference method for
                                  parameterized singularly perturbed delay
                                  differential equations . . . . . . . . . 509--521
              Mehdi Dehghan and   
              Akbar Mohebbi and   
                  Zohreh Asgari   Fourth-order compact solution of the
                                  nonlinear Klein--Gordon equation . . . . 523--540
               F. Ghoreishi and   
                   M. Hadizadeh   Numerical computation of the Tau
                                  approximation for the
                                  Volterra--Hammerstein integral equations 541--559
                    W. K. Zahra   Exponential spline solutions for a class
                                  of two point boundary value problems
                                  over a semi-infinite range . . . . . . . 561--573
                    I. D. Coope   On calculating generalized Cayley
                                  transforms of bounded norm . . . . . . . 575--583
                Hongmin Ren and   
                Qingbiao Wu and   
                     Weihong Bi   New variants of Jarratt's method with
                                  sixth-order convergence  . . . . . . . . 585--603
              Dimitri Breda and   
              Stefano Maset and   
              Rossana Vermiglio   An adaptive algorithm for efficient
                                  computation of level curves of surfaces  605--628
   Diana Estévez Schwarz   Consistent initialization for DAEs in
                                  Hessenberg form  . . . . . . . . . . . . 629--648
               Beong In Yun and   
          Miodrag S. Petkovi\'c   Iterative methods based on the signum
                                  function approach for solving nonlinear
                                  equations  . . . . . . . . . . . . . . . 649--662
        Gabil M. Amiraliyev and   
                  Fevzi Erdogan   A finite difference scheme for a class
                                  of singularly perturbed initial value
                                  problems for delay differential
                                  equations  . . . . . . . . . . . . . . . 663--675
           Pawe\l Przyby\lowicz   Linear information for approximation of
                                  the Itô integrals . . . . . . . . . . . . 677--699
         Ioannis K. Argyros and   
                 Sa\"\id Hilout   On the convergence of Newton-type
                                  methods under mild differentiability
                                  conditions . . . . . . . . . . . . . . . 701--726


Numerical Algorithms
Volume 53, Number 1, January, 2010

                  S. Morigi and   
                 L. Reichel and   
                    F. Sgallari   Noise-reducing cascadic multilevel
                                  methods for linear discrete ill-posed
                                  problems . . . . . . . . . . . . . . . . 1--22
            Marina Andretta and   
          Ernesto G. Birgin and   
          J. M. Martínez   Partial spectral projected gradient
                                  method with active-set strategy for
                                  linearly constrained optimization  . . . 23--52
          Danny C. Sorensen and   
               Roland Glowinski   A quadratically constrained minimization
                                  problem arising from PDE of
                                  Monge--Amp\`ere type . . . . . . . . . . 53--66
               Joachim Dahl and   
       Per Christian Hansen and   
  Sòren Holdt Jensen and   
 Tobias Lindstròm Jensen   Algorithms and software for total
                                  variation image reconstruction via
                                  first-order methods  . . . . . . . . . . 67--92
       Pavel Jiránek and   
      Miroslav Rozlozník   Adaptive version of Simpler GMRES  . . . 93--112
               Wanyou Cheng and   
                    Qunfeng Liu   Sufficient descent nonlinear conjugate
                                  gradient methods with conjugacy
                                  condition  . . . . . . . . . . . . . . . 113--131
            Awad H. Al-Mohy and   
             Nicholas J. Higham   The complex step approximation to the
                                  Fréchet derivative of a matrix function   133--148

Numerical Algorithms
Volume 53, Number 2--3, March, 2010

            John C. Butcher and   
       Zdzis\law Jackiewicz and   
           Helmut Podhaisky and   
            Rüdiger Weiner   Preface  . . . . . . . . . . . . . . . . 149--151
                  J. C. Butcher   Trees and numerical methods for ordinary
                                  differential equations . . . . . . . . . 153--170
          Robert P. K. Chan and   
              Angela Y. J. Tsai   On explicit two-derivative Runge--Kutta
                                  methods  . . . . . . . . . . . . . . . . 171--194
        R. DÁmbrosio and   
                   M. Ferro and   
              Z. Jackiewicz and   
                 B. Paternoster   Two-step almost collocation methods for
                                  ordinary differential equations  . . . . 195--217
              W. H. Enright and   
                     P. H. Muir   New interpolants for asymptotically
                                  correct defect control of BVODEs . . . . 219--238
              W. H. Enright and   
                         Li Yan   The reliability/cost trade-off for a
                                  class of ODE solvers . . . . . . . . . . 239--260
                  Allison Heard   Scale and modify for the second and
                                  third order BDF methods  . . . . . . . . 261--280
                     A. T. Hill   $G$-matrices for algebraically stable
                                  general linear methods . . . . . . . . . 281--292
                Oliver Kolb and   
                  Jens Lang and   
                      Pia Bales   An implicit box scheme for subsonic
                                  compressible flow with dissipative
                                  source term  . . . . . . . . . . . . . . 293--307
Mihály Kovács and   
               Stig Larsson and   
               Fredrik Lindgren   Strong convergence of the finite element
                                  method with truncated noise for
                                  semilinear parabolic stochastic
                                  equations with additive noise  . . . . . 309--320
            Gennady Yu. Kulikov   Local theory of extrapolation methods    321--342
        Robert I. McLachlan and   
             Dion R. J. O'Neale   Preservation and destruction of periodic
                                  orbits by symplectic integrators . . . . 343--362
        Bernhard A. Schmitt and   
            Rüdiger Weiner   Parallel start for explicit parallel
                                  two-step peer methods  . . . . . . . . . 363--381
                   J. H. Verner   Numerically optimal Runge--Kutta pairs
                                  with interpolants  . . . . . . . . . . . 383--396
        Hossein ZivariPiran and   
               Wayne H. Enright   An efficient unified approach for the
                                  numerical solution of delay differential
                                  equations  . . . . . . . . . . . . . . . 397--417

Numerical Algorithms
Volume 53, Number 4, April, 2010

             Matthew M. Lin and   
                    Bo Dong and   
                   Moody T. Chu   Semi-definite programming techniques for
                                  structured quadratic inverse eigenvalue
                                  problems . . . . . . . . . . . . . . . . 419--437
                 Nazim Mahmudov   The moments for $q$-Bernstein operators
                                  in the case $0 < q < 1$  . . . . . . . . . 439--450
           Rajesh K. Pandey and   
           Om Prakash Singh and   
                Vineet K. Singh   A stable algorithm for numerical
                                  evaluation of Hankel transforms using
                                  Haar wavelets  . . . . . . . . . . . . . 451--466
Diyashvir Kreetee Rajiv Babajee and   
                   M. Z. Dauhoo   Convergence and spectral analysis of the
                                  Frontini--Sormani family of multipoint
                                  third order methods from quadrature rule 467--484
             Alicia Cordero and   
       José L. Hueso and   
    Eulalia Martínez and   
             Juan R. Torregrosa   Efficient three-step iterative methods
                                  with sixth order convergence for
                                  nonlinear equations  . . . . . . . . . . 485--495
                Zhongdi Cen and   
                        Anbo Le   A robust finite difference scheme for
                                  pricing American put options with
                                  Singularity--Separating method . . . . . 497--510
     Christina C. Christara and   
                  Tong Chen and   
                  Duy Minh Dang   Quadratic spline collocation for
                                  one-dimensional linear parabolic partial
                                  differential equations . . . . . . . . . 511--553
                 Yongyan Wu and   
                Kwok Fai Cheung   Two-parameter homotopy method for
                                  nonlinear equations  . . . . . . . . . . 555--572


Numerical Algorithms
Volume 54, Number 1, May, 2010

            Chang-Ming Chen and   
                 Fawang Liu and   
                 Ian Turner and   
                         Vo Anh   Numerical schemes and multivariate
                                  extrapolation of a two-dimensional
                                  anomalous sub-diffusion equation . . . . 1--21
                 Neculai Andrei   Accelerated hybrid conjugate gradient
                                  algorithm with modified secant condition
                                  for unconstrained optimization . . . . . 23--46
               Renhong Wang and   
                     Jiang Qian   On branched continued fractions rational
                                  interpolation over pyramid-typed grids   47--72
              Dmitriy Melkonian   Similar basis function algorithm for
                                  numerical estimation of Fourier
                                  integrals  . . . . . . . . . . . . . . . 73--100
Maria Isabel Bueno Cachadina and   
       Alfredo Deaño and   
              Edward Tavernetti   A new algorithm for computing the
                                  Geronimus transformation with large
                                  shifts . . . . . . . . . . . . . . . . . 101--139
                 Hassan Safouhi   Bessel, sine and cosine functions and
                                  extrapolation methods for computing
                                  molecular multi-center integrals . . . . 141--167

Numerical Algorithms
Volume 54, Number 2, June, 2010

  Raffaele DÁmbrosio and   
           Zdzis\law Jackiewicz   Continuous two-step Runge--Kutta methods
                                  for ordinary differential equations  . . 169--193
             Yueqiang Shang and   
                       Kun Wang   Local and parallel finite element
                                  algorithms based on two-grid
                                  discretizations for the transient Stokes
                                  equations  . . . . . . . . . . . . . . . 195--218
Aurél Galántai and   
          Csaba J. Hegedüs   A study of accelerated Newton methods
                                  for multiple polynomial roots  . . . . . 219--243
                  S. M. Goh and   
           M. S. M. Noorani and   
                      I. Hashim   On solving the chaotic Chen system: a
                                  new time marching design for the
                                  variational iteration method using
                                  Adomian's polynomial . . . . . . . . . . 245--260
           Andreas Karageorghis   Efficient Kansa-type MFS algorithm for
                                  elliptic problems  . . . . . . . . . . . 261--278
                Fu-Rong Lin and   
                  Michael K. Ng   Inverse product Toeplitz preconditioners
                                  for non-Hermitian Toeplitz systems . . . 279--295

Numerical Algorithms
Volume 54, Number 3, July, 2010

    Dimitrios Triantafyllou and   
              Marilena Mitrouli   On rank and null space computation of
                                  the generalized Sylvester matrix . . . . 297--324
                   Peng Zhu and   
                     Shuzi Zhou   Relaxation Lax--Friedrichs sweeping
                                  scheme for static Hamilton--Jacobi
                                  equations  . . . . . . . . . . . . . . . 325--342
                 Jun-Liang Dong   Shifted skew-symmetric iteration methods
                                  for nonsymmetric linear complementarity
                                  problems . . . . . . . . . . . . . . . . 343--357
          Siegfried M. Rump and   
                  Stef Graillat   Verified error bounds for multiple roots
                                  of systems of nonlinear equations  . . . 359--377
           Ranjan Kumar Mohanty   On the use of AGE algorithm with a high
                                  accuracy Numerov type variable mesh
                                  discretization for $1$D non-linear
                                  parabolic equations  . . . . . . . . . . 379--393
                   Fadi Awawdeh   On new iterative method for solving
                                  systems of nonlinear equations . . . . . 395--409
                Yonghoon Ha and   
                Keunwha Lee and   
                   Woojae Seong   Pseudospectral time-domain method for
                                  pressure-release rough surface
                                  scattering using a surface
                                  transformation and image method  . . . . 411--430

Numerical Algorithms
Volume 54, Number 4, August, 2010

          Relja Vulanovi\'c and   
              Ljiljana Teofanov   A uniform numerical method for
                                  semilinear reaction-diffusion problems
                                  with a boundary turning point  . . . . . 431--444
           Janak Raj Sharma and   
                   Rajni Sharma   A new family of modified Ostrowski's
                                  methods with accelerated eighth order
                                  convergence  . . . . . . . . . . . . . . 445--458
          Dagmar Medková   Integral representation of a solution of
                                  the Neumann problem for the Stokes
                                  system . . . . . . . . . . . . . . . . . 459--484
             Ioannis K. Argyros   On a class of secant-like methods for
                                  solving nonlinear equations  . . . . . . 485--501
  Predrag S. Stanimirovi\'c and   
         Marko B. Miladinovi\'c   Accelerated gradient descent methods
                                  with line search . . . . . . . . . . . . 503--520
           Saeid Abbasbandy and   
                    A. Shirzadi   Homotopy analysis method for multiple
                                  solutions of the fractional
                                  Sturm--Liouville problems  . . . . . . . 521--532
        Philip W. Livermore and   
                Glenn R. Ierley   Quasi-$L^p$ norm orthogonal Galerkin
                                  expansions in sums of Jacobi polynomials 533--569


Numerical Algorithms
Volume 55, Number 1, September, 2010

                Moosa Ebadi and   
                  M. Y. Gokhale   Hybrid BDF methods for the numerical
                                  solutions of ordinary differential
                                  equations  . . . . . . . . . . . . . . . 1--17
  Amílcar Branquinho and   
                Luis Cotrim and   
     Ana Foulquié Moreno   Matrix interpretation of multiple
                                  orthogonality  . . . . . . . . . . . . . 19--37
                Jiao-Fen Li and   
                  Xi-Yan Hu and   
                      Lei Zhang   The nearness problems for symmetric
                                  centrosymmetric with a special submatrix
                                  constraint . . . . . . . . . . . . . . . 39--57
             Federico Greco and   
                 Bruno Iannazzo   A binary powering Schur algorithm for
                                  computing primary matrix roots . . . . . 59--78
                Jianling Li and   
                  Peng Wang and   
                         Lin Ma   A new algorithm for the general
                                  quadratic programming problems with box
                                  constraints  . . . . . . . . . . . . . . 79--85
             Alicia Cordero and   
       José L. Hueso and   
    Eulalia Martínez and   
             Juan R. Torregrosa   A modified Newton--Jarratt's composition 87--99
           Nguyen Minh Tuan and   
               Lan T. T. Nguyen   On solutions of a system of hereditary
                                  and self-referred partial-differential
                                  equations  . . . . . . . . . . . . . . . 101--113
                Federico Poloni   A note on the $O(n)$-storage
                                  implementation of the GKO algorithm and
                                  its adaptation to Trummer-like matrices  115--139

Numerical Algorithms
Volume 55, Number 2--3, November, 2010

            Alessandra Aimi and   
            Mauro Diligenti and   
              Chiara Guardasoni   Numerical integration schemes for
                                  space--time hypersingular integrals in
                                  energetic Galerkin BEM . . . . . . . . . 145--170
                 Martin Berzins   Nonlinear data-bounded polynomial
                                  approximations and their applications in
                                  ENO methods  . . . . . . . . . . . . . . 171--189
     Isabel Cação   Complete orthonormal sets of polynomial
                                  solutions of the Riesz and
                                  Moisil--Teodorescu systems in $R^3$  . . 191--203
   Maria Rosaria Capobianco and   
         Giuliana Criscuolo and   
                Peter Junghanns   Newton methods for a class of nonlinear
                                  hypersingular integral equations . . . . 205--221
              Jesus M. Carnicer   Weighted interpolation for equidistant
                                  nodes  . . . . . . . . . . . . . . . . . 223--232
                 Annie Cuyt and   
                  Xianglan Yang   A practical error formula for
                                  multivariate rational interpolation and
                                  approximation  . . . . . . . . . . . . . 233--243
         Antonia M. Delgado and   
     Lidia Fernández and   
     Teresa E. Pérez and   
     Miguel A. Piñar and   
                        Yuan Xu   Orthogonal polynomials in several
                                  variables for measures with mass points  245--264
                Walter Gautschi   Gauss quadrature routines for two
                                  classes of logarithmic weight functions  265--277
                 Huiyuan Li and   
               Jiachang Sun and   
                        Yuan Xu   Discrete Fourier analysis with lattices
                                  on planar domains  . . . . . . . . . . . 279--300
          Pedro Miguel Lima and   
        M. Filomena Teodoro and   
            Neville J. Ford and   
               Patricia M. Lumb   Finite element solution of a linear
                                  mixed-type functional differential
                                  equation . . . . . . . . . . . . . . . . 301--320
                Giorgio Mantica   Dynamical systems and numerical
                                  analysis: the study of measures
                                  generated by uncountable I.F.S.  . . . . 321--335
    M. Luísa Morgado and   
              Pedro Miguel Lima   Finite difference solution of a singular
                                  boundary value problem for the
                                  $p$-Laplace operator . . . . . . . . . . 337--348
          Richard Pasquetti and   
              Francesca Rapetti   Spectral element methods on unstructured
                                  meshes: which interpolation points?  . . 349--366
                   Gert Tamberg   On truncation errors of some generalized
                                  Shannon sampling operators . . . . . . . 367--382
             Marc Van Barel and   
               Andrey Chesnokov   A method to compute recurrence relation
                                  coefficients for bivariate orthogonal
                                  polynomials by unitary matrix
                                  transformations  . . . . . . . . . . . . 383--402

Numerical Algorithms
Volume 55, Number 4, December, 2010

           Jalil Rashidinia and   
                 M. Ghasemi and   
                    R. Jalilian   An $O(h^6)$ numerical solution of
                                  general nonlinear fifth-order two point
                                  boundary value problems  . . . . . . . . 403--428
               A. Valinejad and   
           S. Mohammad Hosseini   A variable step-size control algorithm
                                  for the weak approximation of stochastic
                                  differential equations . . . . . . . . . 429--446
         Ioannis K. Argyros and   
                 Sa\"\id Hilout   A Kantorovich-type convergence analysis
                                  of the Newton--Josephy method for
                                  solving variational inequalities . . . . 447--466
        Angelamaria Cardone and   
            Liviu Gr. Ixaru and   
           Beatrice Paternoster   Exponential fitting Direct Quadrature
                                  methods for Volterra integral equations  467--480
            Sandra Buhmiler and   
            Natasa Kreji\'c and   
                 Zorana Luzanin   Practical Quasi--Newton algorithms for
                                  singular nonlinear systems . . . . . . . 481--502
            Antonio Aric\`o and   
             Giuseppe Rodriguez   A fast solver for linear systems with
                                  displacement structure . . . . . . . . . 529--556


Numerical Algorithms
Volume 56, Number 1, January, 2011

          Marie-Laurence Mazure   Dimension elevation for Chebyshevian
                                  splines  . . . . . . . . . . . . . . . . 1--16
              Cristinel Mortici   A new Stirling series as continued
                                  fraction . . . . . . . . . . . . . . . . 17--26
           Saeid Abbasbandy and   
                   E. Shivanian   A new analytical technique to solve
                                  Fredholm's integral equations  . . . . . 27--43
              Marco Caliari and   
          Stefano De Marchi and   
           Alvise Sommariva and   
                 Marco Vianello   Padua2DM: fast interpolation and
                                  cubature at the Padua points in
                                  Matlab/Octave  . . . . . . . . . . . . . 45--60
            Gernot Pulverer and   
      Gustaf Söderlind and   
            Ewa Weinmüller   Automatic grid control in adaptive BVP
                                  solvers  . . . . . . . . . . . . . . . . 61--92
              Songxin Liang and   
               David J. Jeffrey   An analytical approach for solving
                                  nonlinear boundary value problems in
                                  finite domains . . . . . . . . . . . . . 93--106
             Carlo de Falco and   
               Eugene O'Riordan   A parameter robust Petrov--Galerkin
                                  scheme for advection-diffusion-reaction
                                  equations  . . . . . . . . . . . . . . . 107--127
           Jalil Rashidinia and   
                 Reza Mohammadi   Tension spline solution of nonlinear
                                  sine-Gordon equation . . . . . . . . . . 129--142
               Jean-Paul Berrut   A formula for the error of finite sinc
                                  interpolation with an even number of
                                  nodes  . . . . . . . . . . . . . . . . . 143--157

Numerical Algorithms
Volume 56, Number 2, February, 2011

            Kassem Mustapha and   
                 William McLean   Piecewise-linear, discontinuous Galerkin
                                  method for a fractional diffusion
                                  equation . . . . . . . . . . . . . . . . 159--184
              Stefan Paszkowski   Untypical methods of convergence
                                  acceleration . . . . . . . . . . . . . . 185--209
                 Majid Khan and   
                 Mazhar Hussain   Application of Laplace decomposition
                                  method on semi-infinite domain . . . . . 211--218
Dominique Béréziat and   
                Isabelle Herlin   Solving ill-posed image processing
                                  problems using data assimilation . . . . 219--252
           Bernard Bialecki and   
         Graeme Fairweather and   
           Andreas Karageorghis   Matrix decomposition algorithms for
                                  elliptic boundary value problems: a
                                  survey . . . . . . . . . . . . . . . . . 253--295
              Zhong-Zhi Bai and   
              Michele Benzi and   
                      Fang Chen   On preconditioned MHSS iteration methods
                                  for complex symmetric linear systems . . 297--317

Numerical Algorithms
Volume 56, Number 3, March, 2011

            John C. Butcher and   
          Robert M. Corless and   
     Laureano Gonzalez-Vega and   
                  Azar Shakoori   Polynomial algebra for Birkhoff
                                  interpolants . . . . . . . . . . . . . . 319--347
                 Guozhu Yao and   
                Anping Liao and   
                   Xuefeng Duan   Positive definite solution of the matrix
                                  equation $X = Q + A^H (I \otimes X -
                                  C)^\delta A$ . . . . . . . . . . . . . . 349--361
            Katsuhisa Ozaki and   
              Takeshi Ogita and   
          Shiníchi Oishi   An algorithm for automatically selecting
                                  a suitable verification method for
                                  linear systems . . . . . . . . . . . . . 363--382
                Shujun Shen and   
                 Fawang Liu and   
                         Vo Anh   Numerical approximations and solution
                                  techniques for the space--time
                                  Riesz--Caputo fractional
                                  advection-diffusion equation . . . . . . 383--403
          Giovanni Monegato and   
            Letizia Scuderi and   
             Marija P. Stani\'c   Lubich convolution quadratures and their
                                  application to problems described by
                                  space--time BIEs . . . . . . . . . . . . 405--436
             Chafik Allouch and   
         Paul Sablonni\`ere and   
                   Driss Sbibih   Solving Fredholm integral equations by
                                  approximating kernels by spline
                                  quasi-interpolants . . . . . . . . . . . 437--453
             Roger B. Sidje and   
                    Yousef Saad   Rational approximation to the
                                  Fermi--Dirac function with applications
                                  in density functional theory . . . . . . 455--479

Numerical Algorithms
Volume 56, Number 4, April, 2011

           Kumar Dookhitram and   
         Ravindra Boojhawon and   
              Ashvin Gopaul and   
                 Muddun Bhuruth   A-posteriori residual bounds for
                                  Arnoldi's methods for nonsymmetric
                                  eigenvalue problems  . . . . . . . . . . 481--495
                Xiuhua Wang and   
               Chuanqing Gu and   
                    Jisheng Kou   Semilocal convergence of a multipoint
                                  fourth-order super-Halley method in
                                  Banach spaces  . . . . . . . . . . . . . 497--516
                    S. Chen and   
                     F. Liu and   
                         V. Anh   A novel implicit finite difference
                                  method for the one-dimensional
                                  fractional percolation equation  . . . . 517--535
                    Chao Gu and   
                     Detong Zhu   A non-monotone line search
                                  multidimensional filter-SQP method for
                                  general nonlinear programming  . . . . . 537--559
             Xiangcheng You and   
                        Hang Xu   Analytical approximations for the
                                  periodic motion of the Duffing system
                                  with delayed feedback  . . . . . . . . . 561--576
                Xiaolin Luo and   
            Pavel V. Shevchenko   A short tale of long tail integration    577--590
        Guido Vanden Berghe and   
               Marnix Van Daele   Symplectic exponentially-fitted
                                  four-stage Runge--Kutta methods of the
                                  Gauss type . . . . . . . . . . . . . . . 591--608


Numerical Algorithms
Volume 57, Number 1, May, 2011

                Zhenjun Shi and   
                 Shengquan Wang   Modified nonmonotone Armijo line search
                                  for descent method . . . . . . . . . . . 1--25
                Walter Gautschi   The Lambert $W$-functions and some of
                                  their integrals: a case study of
                                  high-precision computation . . . . . . . 27--34
               Yunong Zhang and   
                   Lin Xiao and   
               Gongqin Ruan and   
                        Zhan Li   Continuous and discrete time Zhang
                                  dynamics for time-varying $4$th root
                                  finding  . . . . . . . . . . . . . . . . 35--51
              Siamak Mehrkanoon   A direct variable step block multistep
                                  method for solving general third-order
                                  ODEs . . . . . . . . . . . . . . . . . . 53--66
          Richard Baltensperger   Barycentric rational interpolation with
                                  asymptotically monitored poles . . . . . 67--81
                    Li-Li Zhang   Two-step modulus-based matrix splitting
                                  iteration method for linear
                                  complementarity problems . . . . . . . . 83--99
              Amir Haghighi and   
           S. Mohammad Hosseini   On the stability of some second order
                                  numerical methods for weak approximation
                                  of Itô SDEs . . . . . . . . . . . . . . . 101--124
             Parviz Darania and   
         Jafar Ahmadi Shali and   
                     Karim Ivaz   New computational method for solving
                                  some $2$-dimensional nonlinear Volterra
                                  integro-differential equations . . . . . 125--147

Numerical Algorithms
Volume 57, Number 2, June, 2011

                   Ali Abdi and   
             Gholamreza Hojjati   An extension of general linear methods   149--167
              Marilena Mitrouli   A sign test for detecting the
                                  equivalence of Sylvester Hadamard
                                  matrices . . . . . . . . . . . . . . . . 169--186
              Sohail Nadeem and   
              Shehla Zaheer and   
                   Tiegang Fang   Effects of thermal radiation on the
                                  boundary layer flow of a Jeffrey fluid
                                  over an exponentially stretching surface 187--205
                 Xiangli Li and   
                Hongwei Liu and   
                    Xiaojun Sun   Feasible smooth method based on
                                  Barzilai--Borwein method for stochastic
                                  linear complementarity problem . . . . . 207--215
           Andreas Potschka and   
               Filip Logist and   
            Jan F. Van Impe and   
                Hans Georg Bock   Tracing the Pareto frontier in
                                  bi-objective optimization problems by
                                  ODE techniques . . . . . . . . . . . . . 217--233
         Ioannis K. Argyros and   
                 Sa\"\id Hilout   On the solution of systems of equations
                                  with constant rank derivatives . . . . . 235--253
      Johnathan M. Bardsley and   
                    John Goldes   Regularization parameter selection and
                                  an efficient algorithm for total
                                  variation-regularized positron emission
                                  tomography . . . . . . . . . . . . . . . 255--271
             Guo-Feng Zhang and   
                 Zhi-Ru Ren and   
                 Yuan-Yuan Zhou   On HSS-based constraint preconditioners
                                  for generalized saddle-point problems    273--287

Numerical Algorithms
Volume 57, Number 3, July, 2011

            Stefania Tomasiello   Numerical stability of DQ solutions of
                                  wave problems  . . . . . . . . . . . . . 289--312
        Jukka T. Kemppainen and   
       Keijo Matti Ruotsalainen   On the spline collocation method for the
                                  single layer equation related to
                                  time-fractional diffusion  . . . . . . . 313--327
João Ribeiro Cardoso and   
                Ana F. Loureiro   Iteration functions for $p$th roots of
                                  complex numbers  . . . . . . . . . . . . 329--356
              Vasile Dragan and   
                 Ivan G. Ivanov   Computation of the stabilizing solution
                                  of game theoretic Riccati equation
                                  arising in stochastic $H^\infty$ control
                                  problems . . . . . . . . . . . . . . . . 357--375
            Fazlollah Soleymani   Revisit of Jarratt method for solving
                                  nonlinear equations  . . . . . . . . . . 377--388
                  Xiaowu Li and   
                 Chunlai Mu and   
                  Jinwen Ma and   
                      Linke Hou   Fifth-order iterative method for finding
                                  multiple roots of nonlinear equations    389--398
               Alan Beardon and   
               Kathy Driver and   
                Kerstin Jordaan   Zeros of polynomials embedded in an
                                  orthogonal sequence  . . . . . . . . . . 399--403
   Juan Ruiz Álvarez and   
                 Jinru Chen and   
                      Zhilin Li   The IIM in polar coordinates and its
                                  application to electro capacitance
                                  tomography problems  . . . . . . . . . . 405--423

Numerical Algorithms
Volume 57, Number 4, August, 2011

              Emine Misirli and   
                   Yusuf Gurefe   Multiplicative Adams Bashforth--Moulton
                                  methods  . . . . . . . . . . . . . . . . 425--439
                Xiuhua Wang and   
                Jisheng Kou and   
                   Chuanqing Gu   Semilocal convergence of a sixth-order
                                  Jarratt method in Banach spaces  . . . . 441--456
           Roberto Andreani and   
   Joaquim J. Júdice and   
José Mario Martínez and   
           Joao Patrício   A projected-gradient interior-point
                                  algorithm for complementarity problems   457--485
Abdullo Rakhmonovich Hayotov and   
  Gradimir V. Milovanovi\'c and   
Kholmat Mahkambaevich Shadimetov   On an optimal quadrature formula in the
                                  sense of Sard  . . . . . . . . . . . . . 487--510
                Walter Gautschi   Remark on ``New conjectured inequalities
                                  for zeros of Jacobi polynomials'' by
                                  Walter Gautschi, Numer. Algorithms
                                  50:293--296 (2009) . . . . . . . . . . . 511--511
                Lidia Aceto and   
          Cecilia Magherini and   
                 Marco Marletta   Shooting methods for a PT-symmetric
                                  periodic eigenvalue problem  . . . . . . 513--536
              Guoqiang Wang and   
                     Detong Zhu   A unified kernel function approach to
                                  primal-dual interior-point algorithms
                                  for convex quadratic SDO . . . . . . . . 537--558


Numerical Algorithms
Volume 58, Number 1, September, 2011

           Hoa Thang Nguyen and   
                 Annie Cuyt and   
           Oliver Salazar Celis   Comonotone and coconvex rational
                                  interpolation and approximation  . . . . 1--21
         Ioannis K. Argyros and   
                 Sa\"\id Hilout   Extending the applicability of the
                                  Gauss--Newton method under average
                                  Lipschitz-type conditions  . . . . . . . 23--52
                 Da-Yan Liu and   
             Olivier Gibaru and   
            Wilfrid Perruquetti   Error analysis of Jacobi derivative
                                  estimators for noisy signals . . . . . . 53--83
             Davood Rostamy and   
                      K. Karimi   Hypercomplex mathematics and HPM for the
                                  time-delayed Burgers equation with
                                  convergence analysis . . . . . . . . . . 85--101
          Kaushik Mukherjee and   
             Srinivasan Natesan   $\epsilon$-Uniform error estimate of
                                  hybrid numerical scheme for singularly
                                  perturbed parabolic problems with
                                  interior layers  . . . . . . . . . . . . 103--141

Numerical Algorithms
Volume 58, Number 2, October, 2011

                Haixiong Yu and   
                   Jinping Zeng   A cascadic multigrid method for a kind
                                  of semilinear elliptic problem . . . . . 143--162
            Yonina C. Eldar and   
                 Deanna Needell   Acceleration of randomized Kaczmarz
                                  method via the Johnson--Lindenstrauss
                                  Lemma  . . . . . . . . . . . . . . . . . 163--177
      Miodrag S. Petkovi\'c and   
      Mimica R. Milosevi\'c and   
           Dusan M. Milosevi\'c   New higher-order methods for the
                                  simultaneous inclusion of polynomial
                                  zeros  . . . . . . . . . . . . . . . . . 179--201
             Joaquin Moreno and   
                        A. Saiz   Inverse functions of polynomials and its
                                  applications to initialize the search of
                                  solutions of polynomials and polynomial
                                  systems  . . . . . . . . . . . . . . . . 203--233
                   Talal Rahman   Schwarz preconditioned CG algorithm for
                                  the mortar finite element  . . . . . . . 235--260
         René Lamour and   
                  Dagmar Monett   A new algorithm for index determination
                                  in DAEs using algorithmic
                                  differentiation  . . . . . . . . . . . . 261--292

Numerical Algorithms
Volume 58, Number 3, November, 2011

                 Y. H. Qian and   
                  S. K. Lai and   
                   W. Zhang and   
                       Y. Xiang   Study on asymptotic analytical solutions
                                  using HAM for strongly nonlinear
                                  vibrations of a restrained cantilever
                                  beam with an intermediate lumped mass    293--314
        Saman Babaie-Kafaki and   
              Masoud Fatemi and   
            Nezam Mahdavi-Amiri   Two effective hybrid conjugate gradient
                                  algorithms based on modified BFGS
                                  updates  . . . . . . . . . . . . . . . . 315--331
                    Zhe Sun and   
               Jinping Zeng and   
                      Hongru Xu   Generalized Newton-iterative method for
                                  semismooth equations . . . . . . . . . . 333--349
           Alexandru Mihai Bica   The numerical method of successive
                                  interpolations for Fredholm functional
                                  integral equations . . . . . . . . . . . 351--377
                Pham Ky Anh and   
                  Cao Van Chung   Parallel regularized Newton method for
                                  nonlinear ill-posed equations  . . . . . 379--398
          Marie-Laurence Mazure   On a general new class of quasi
                                  Chebyshevian splines . . . . . . . . . . 399--438
      Celina Pestano-Gabino and   
Concepción González-Concepción and   
María Candelaria Gil-Fariña   A note on the initial identification of
                                  scalar component models  . . . . . . . . 439--449

Numerical Algorithms
Volume 58, Number 4, December, 2011

            Daniel J. Bates and   
     Jonathan D. Hauenstein and   
              Andrew J. Sommese   Efficient path tracking methods  . . . . 451--459
                    Qunfeng Liu   Two minimal positive bases based direct
                                  search conjugate gradient methods for
                                  computationally expensive functions  . . 461--474
             Payam Mokhtary and   
              Farideh Ghoreishi   The $L^2$-convergence of the Legendre
                                  spectral Tau matrix formulation for
                                  nonlinear fractional integro
                                  differential equations . . . . . . . . . 475--496
                 Weihong Bi and   
                Hongmin Ren and   
                    Qingbiao Wu   Convergence of the modified Halley's
                                  method for multiple zeros under Hölder
                                  continuous derivative  . . . . . . . . . 497--512
          Parviz Sargolzaei and   
            Fazlollah Soleymani   Accurate fourteenth-order methods for
                                  solving nonlinear equations  . . . . . . 513--527
  Björn S. Rüffer and   
                Fabian R. Wirth   Stability verification for monotone
                                  systems using homotopy algorithms  . . . 529--543
                  Pan Cheng and   
                      Jin Huang   Extrapolation algorithms for solving
                                  nonlinear boundary integral equations by
                                  mechanical quadrature methods  . . . . . 545--554
                Hongmin Ren and   
         Ioannis K. Argyros and   
                 Sa\"\id Hilout   A derivative free iterative method for
                                  solving least squares problems . . . . . 555--571
              Jianguang Zhu and   
                Hongwei Liu and   
                Changhe Liu and   
                    Weijie Cong   A nonmonotone derivative-free algorithm
                                  for nonlinear complementarity problems
                                  based on the new generalized penalized
                                  Fischer--Burmeister merit function . . . 573--591
                Hongwei Liu and   
                Yakui Huang and   
                     Xiangli Li   Partial projected Newton method for a
                                  class of stochastic linear
                                  complementarity problems . . . . . . . . 593--618


Numerical Algorithms
Volume 59, Number 1, January, 2012

               Sanja Singer and   
                Sasa Singer and   
         Vedran Novakovi\'c and   
    Aleksandar Us\'cumli\'c and   
                  Vedran Dunjko   Novel modifications of parallel Jacobi
                                  algorithms . . . . . . . . . . . . . . . 1--27
                    Wei Gao and   
                    Hong Li and   
                   Yang Liu and   
                  Yong-Jun Jian   An oscillation-free high order
                                  TVD/CBC-based upwind scheme for
                                  convection discretization  . . . . . . . 29--50
             Matthias Humet and   
                 Marc Van Barel   When is the Uvarov transformation
                                  positive definite? . . . . . . . . . . . 51--62
                  Hua Qiang and   
                    Kewei Liang   Moving mesh method for problems with
                                  blow-up on unbounded domains . . . . . . 63--77
                Zhifeng Dai and   
                    Fenghua Wen   Global convergence of a modified
                                  Hestenes--Stiefel nonlinear conjugate
                                  gradient method with Armijo line search  79--93
            Katsuhisa Ozaki and   
              Takeshi Ogita and   
            Shin'ichi Oishi and   
              Siegfried M. Rump   Error-free transformations of matrix
                                  multiplication by using fast routines of
                                  matrix multiplication and its
                                  applications . . . . . . . . . . . . . . 95--118
                  Gancho Tachev   New estimates in Voronovskaja's theorem  119--129
              Fevzi Erdogan and   
            Gabil M. Amiraliyev   Fitted finite difference method for
                                  singularly perturbed delay differential
                                  equations  . . . . . . . . . . . . . . . 131--145
               Pengfei Wang and   
                Jianping Li and   
                        Qian Li   Computational uncertainty and the
                                  application of a high-performance
                                  multiple precision scheme to obtaining
                                  the correct reference solution of Lorenz
                                  equations  . . . . . . . . . . . . . . . 147--159

Numerical Algorithms
Volume 59, Number 2, February, 2012

         Fred J. Hickernell and   
              Peter Kritzer and   
             Frances Y. Kuo and   
                    Dirk Nuyens   Weighted compound integration rules with
                                  higher order convergence for all $N$ . . 161--183
                Sunil Kumar and   
                   Mukesh Kumar   Parameter-robust numerical method for a
                                  system of singularly perturbed initial
                                  value problems . . . . . . . . . . . . . 185--195
           Jalil Rashidinia and   
                  Ali Tahmasebi   Systems of nonlinear Volterra
                                  integro-differential equations . . . . . 197--212
                Rongxing Wu and   
                    Ji Wang and   
                  Jianke Du and   
                 Yuantai Hu and   
                    Hongping Hu   Solutions of nonlinear thickness-shear
                                  vibrations of an infinite isotropic
                                  plate with the homotopy analysis method  213--226
          Luis Bayón and   
               Jose M. Grau and   
              Maria M. Ruiz and   
         Pedro M. Suárez   Cyclic coordinate descent in
                                  hydrothermal nonsmooth problems  . . . . 227--247
               Hongwu Zhang and   
                       Ting Wei   An improved non-local boundary value
                                  problem method for a Cauchy problem of
                                  the Laplace equation . . . . . . . . . . 249--269
                     Zhiyong Si   Second order modified method of
                                  characteristics mixed defect-correction
                                  finite element method for time dependent
                                  Navier--Stokes problems  . . . . . . . . 271--300
                Yair Censor and   
                Aviv Gibali and   
                   Simeon Reich   Algorithms for the Split Variational
                                  Inequality Problem . . . . . . . . . . . 301--323
              Arthur Neuman and   
             Lothar Reichel and   
                  Hassane Sadok   Algorithms for range restricted
                                  iterative methods for linear discrete
                                  ill-posed problems . . . . . . . . . . . 325--331

Numerical Algorithms
Volume 59, Number 3, March, 2012

            Samuel N. Jator and   
                       Jiang Li   An algorithm for second order initial
                                  and boundary value problems with an
                                  automatic error estimate based on a
                                  third derivative method  . . . . . . . . 333--346
              Phan Thanh An and   
                  Le Hong Trang   A parallel algorithm based on convexity
                                  for the computing of Delaunay
                                  tessellation . . . . . . . . . . . . . . 347--357
              Shengfeng Zhu and   
                 Hancan Zhu and   
                Qingbiao Wu and   
                     Yasir Khan   An adaptive algorithm for the
                                  Thomas--Fermi equation . . . . . . . . . 359--372
            Waheed K. Zahra and   
               Samah M. Elkholy   Quadratic spline solution for boundary
                                  value problem of fractional order  . . . 373--391
                Awad H. Al-Mohy   A more accurate Briggs method for the
                                  logarithm  . . . . . . . . . . . . . . . 393--402
               Jan Baldeaux and   
                 Josef Dick and   
          Gunther Leobacher and   
                Dirk Nuyens and   
       Friedrich Pillichshammer   Efficient calculation of the worst-case
                                  error and (fast) component-by-component
                                  construction of higher order polynomial
                                  lattice rules  . . . . . . . . . . . . . 403--431
               Martin Fuhry and   
                 Lothar Reichel   A new Tikhonov regularization method . . 433--445
               Joshua L. Willis   Acceleration of generalized
                                  hypergeometric functions through precise
                                  remainder asymptotics  . . . . . . . . . 447--485
   Anne Kværnò and   
                   J. H. Verner   Subquadrature expansions for TSRK
                                  methods  . . . . . . . . . . . . . . . . 487--504

Numerical Algorithms
Volume 59, Number 4, April, 2012

                Hongmin Ren and   
             Ioannis K. Argyros   Improved local analysis for a certain
                                  class of iterative methods with cubic
                                  convergence  . . . . . . . . . . . . . . 505--521
           Masoud Ahookhosh and   
                   Keyvan Amini   An efficient nonmonotone trust-region
                                  method for unconstrained optimization    523--540
                Arshad Khan and   
                  Talat Sultana   Non-polynomial quintic spline solution
                                  for the system of third order
                                  boundary-value problems  . . . . . . . . 541--559
                    Zhi-Hao Cao   A note on spectrum analysis of
                                  augmentation block Schur complement
                                  preconditioners  . . . . . . . . . . . . 561--569
Tatiana Paraskevova Chernogorova and   
 Beata Stehlíková   A comparison of asymptotic analytical
                                  formulae with finite-difference
                                  approximations for pricing zero coupon
                                  bond . . . . . . . . . . . . . . . . . . 571--588
               Behrouz Kheirfam   Simplified infeasible interior-point
                                  algorithm for SDO using full
                                  Nesterov--Todd step  . . . . . . . . . . 589--606
      Stanis\law Lewanowicz and   
              Pawel Wo\'zny and   
                   Pawel Keller   Polynomial approximation of rational
                                  Bézier curves with constraints  . . . . . 607--622
                  Lin Zheng and   
                   Chuanqing Gu   Recurrence relations for semilocal
                                  convergence of a fifth-order method in
                                  Banach spaces  . . . . . . . . . . . . . 623--638
      Michela Redivo-Zaglia and   
             Giuseppe Rodriguez   \tt smt: a Matlab toolbox for structured
                                  matrices . . . . . . . . . . . . . . . . 639--659


Numerical Algorithms
Volume 60, Number 1, May, 2012

        Angelamaria Cardone and   
           Zdzis\law Jackiewicz   Explicit Nordsieck methods with
                                  quadratic stability  . . . . . . . . . . 1--25
            Somayyeh Fazeli and   
         Gholamreza Hojjati and   
             Sedaghat Shahmorad   Multistep Hermite collocation methods
                                  for solving Volterra Integral Equations  27--50
      Herbert Dueñas and   
         Edmundo J. Huertas and   
     Francisco Marcellán   Asymptotic properties of
                                  Laguerre--Sobolev type orthogonal
                                  polynomials  . . . . . . . . . . . . . . 51--73
                   Kun Wang and   
                 Zhiyong Si and   
                   Yanfang Yang   Stabilized finite element method for the
                                  viscoelastic Oldroyd fluid flows . . . . 75--100
           Isabella Cravero and   
         Giovanna Pittaluga and   
               Laura Sacripante   An algorithm for solving linear Volterra
                                  integro-differential equations . . . . . 101--114
        Karel J. in 't Hout and   
                    Kim Volders   Stability of central finite difference
                                  schemes for the Heston PDE . . . . . . . 115--133
                 Yang Zhang and   
                   Kairong Wang   A new general form of conjugate gradient
                                  methods with guaranteed descent and
                                  strong global convergence properties . . 135--152
                Fu-Rong Lin and   
                    Chi-Xi Wang   BTTB preconditioners for BTTB systems    153--167
              Germana Landi and   
         Elena Loli Piccolomini   An improved Newton projection method for
                                  nonnegative deblurring of
                                  Poisson-corrupted images with Tikhonov
                                  regularization . . . . . . . . . . . . . 169--188

Numerical Algorithms
Volume 60, Number 2, June, 2012

          Gérard Meurant   The computation of isotropic vectors . . 193--204
                    Naoki Osada   The early history of convergence
                                  acceleration methods . . . . . . . . . . 205--221
 Francisco Marcellán and   
Natalia C. Pinzón-Cortés   $(1, 1)-q$-coherent pairs  . . . . . . . 223--239
          Marie-Laurence Mazure   Polynomial splines as examples of
                                  Chebyshevian splines . . . . . . . . . . 241--262
 Jose Mario Martínez and   
    Leandro da Fonseca Prudente   Handling infeasibility in a large-scale
                                  nonlinear optimization algorithm . . . . 263--277
              Carmen Campos and   
                  Jose E. Roman   Strategies for spectrum slicing based on
                                  restarted Lanczos methods  . . . . . . . 279--295
        Ana Filipa Loureiro and   
                  Pascal Maroni   Polynomial sequences associated with the
                                  classical linear functionals . . . . . . 297--314
       Richard M. Slevinsky and   
                 Hassan Safouhi   A comparative study of numerical
                                  steepest descent, extrapolation, and
                                  sequence transformation methods in
                                  computing semi-infinite integrals  . . . 315--337
       Thomas Kilian Huckle and   
                Matous Sedlacek   Tikhonov--Phillips regularization with
                                  operator dependent seminorms . . . . . . 339--353

Numerical Algorithms
Volume 60, Number 3, July, 2012

          Mahmoud H. Annaby and   
             Rashad M. Asharabi   Computing eigenvalues of
                                  Sturm--Liouville problems by Hermite
                                  interpolations . . . . . . . . . . . . . 355--367
                Xiuhua Wang and   
                    Jisheng Kou   Semilocal convergence of a modified
                                  multi-point Jarratt method in Banach
                                  spaces under general continuity
                                  condition  . . . . . . . . . . . . . . . 369--390
           Basarab Mate\"\i and   
                Sylvain Meignen   Analysis of a class of nonlinear and
                                  non-separable multiscale representations 391--418
                S. K. Parhi and   
                    D. K. Gupta   Convergence of a third order method for
                                  fixed points in Banach spaces  . . . . . 419--434
                Ai-fan Ling and   
                  Cheng-xian Xu   A new discrete filled function method
                                  for solving large scale max-cut problems 435--461
       Sandile Sydney Motsa and   
           Stanford Shateyi and   
           Gerald T. Marewo and   
               Precious Sibanda   An improved spectral homotopy analysis
                                  method for MHD flow in a semi-porous
                                  channel  . . . . . . . . . . . . . . . . 463--481
                  Aili Yang and   
                 Yujiang Wu and   
                Yongqing Wu and   
                      Dawei Ren   Bi-parameter incremental unknowns ADI
                                  iterative methods for elliptic problems  483--499
               Shifang Yuan and   
                Anping Liao and   
                     Guozhu Yao   Parameterized inverse singular value
                                  problem for anti-bisymmetric matrices    501--522
                Thierry Gensane   Interpolation on the hypersphere with
                                  Thiele type rational interpolants  . . . 523--529

Numerical Algorithms
Volume 60, Number 4, August, 2012

            Silvia Noschese and   
                 Lothar Reichel   Inverse problems for regularization
                                  matrices . . . . . . . . . . . . . . . . 531--544
            Wies\law Ple\'sniak   Nearly optimal meshes in subanalytic
                                  sets . . . . . . . . . . . . . . . . . . 545--553
            Sotirios E. Notaris   The error norm of quadrature formulae    555--578
           M. R. Capobianco and   
                   G. Criscuolo   Convergence and stability of a new
                                  quadrature rule for evaluating Hilbert
                                  transform  . . . . . . . . . . . . . . . 579--592
           Woula Themistoclakis   Uniform approximation on $ [ - 1, 1] $
                                  via discrete de la Vallée Poussin means   593--612
              Marco Gaviano and   
                   Daniela Lera   Properties and numerical testing of a
                                  parallel global optimization algorithm   613--629
            Ilario Mazzieri and   
              Francesca Rapetti   Dispersion analysis of triangle-based
                                  spectral element methods for elastic
                                  wave propagation . . . . . . . . . . . . 631--650
                Marco Donatelli   On nondecreasing sequences of
                                  regularization parameters for
                                  nonstationary iterated Tikhonov  . . . . 651--668
                K. Castillo and   
                L. E. Garza and   
            F. Marcellán   Zeros of Sobolev orthogonal polynomials
                                  on the unit circle . . . . . . . . . . . 669--681
                   L. Dykes and   
                     L. Reichel   On the reduction of Tikhonov
                                  minimization problems and the
                                  construction of regularization matrices  683--696


Numerical Algorithms
Volume 61, Number 1, September, 2012

              Siegfried M. Rump   Fast interval matrix multiplication  . . 1--34
         Torsten Linß and   
              Goran Radojev and   
                   Helena Zarin   Approximation of singularly perturbed
                                  reaction-diffusion problems by quadratic
                                  $ C^1 $-splines  . . . . . . . . . . . . 35--55
                 Zhang Lipu and   
                 Bai Yanqin and   
                    Xu Yinghong   A full-Newton step infeasible
                                  interior-point algorithm for monotone
                                  LCP based on a locally-kernel function   57--81
            Kamal Shanazari and   
                Mohammad Hosami   Adapting nodes in three dimensional
                                  irregular regions for meshless-type
                                  methods  . . . . . . . . . . . . . . . . 83--103
                   Peng Xia and   
              Shugong Zhang and   
                         Na Lei   The Neville-like form of the Fitzpatrick
                                  algorithm for rational interpolation . . 105--120
               Ping-Fan Dai and   
                Yao-Tang Li and   
                  Chang-Jing Lu   Error bounds for linear complementarity
                                  problems for SB-matrices . . . . . . . . 121--139
              Amir Haghighi and   
           S. Mohammad Hosseini   A class of split-step balanced methods
                                  for stiff stochastic differential
                                  equations  . . . . . . . . . . . . . . . 141--162
        Nathalie Verdi\`ere and   
       Lilianne Denis-Vidal and   
       Ghislaine Joly-Blanchard   A new method for estimating derivatives
                                  based on a distribution approach . . . . 163--186
               Ping-Fan Dai and   
                Yao-Tang Li and   
                  Chang-Jing Lu   Erratum to: Error bounds for linear
                                  complementarity problems for SB-matrices 187--187

Numerical Algorithms
Volume 61, Number 2, October, 2012

        Bernhard Beckermann and   
              Daniel Bessis and   
               Luca Perotti and   
               Daniel Vrinceanu   Computing high precision Matrix Padé
                                  approximants . . . . . . . . . . . . . . 189--208
          Catterina Dagnino and   
             Paola Lamberti and   
                   Sara Remogna   B-spline bases for unequally smooth
                                  quadratic spline spaces on non-uniform
                                  criss-cross triangulations . . . . . . . 209--222
           Luca Bergamaschi and   
 Ángeles Martínez   Banded target matrices and recursive
                                  FSAI for parallel preconditioning  . . . 223--241
               Akiko Fukuda and   
            Yusaku Yamamoto and   
            Masashi Iwasaki and   
             Emiko Ishiwata and   
             Yoshimasa Nakamura   Error analysis for matrix eigenvalue
                                  algorithm based on the discrete hungry
                                  Toda equation  . . . . . . . . . . . . . 243--260
            Munehiro Nagata and   
            Masashi Iwasaki and   
             Yoshimasa Nakamura   Error analysis of the mdLVs algorithm
                                  for computing bidiagonal singular values 261--274
                Walter Gautschi   Numerical integration over the square in
                                  the presence of algebraic/logarithmic
                                  singularities with an application to
                                  aerodynamics . . . . . . . . . . . . . . 275--290
                 Annie Cuyt and   
                 Irem Yaman and   
     Bayram Ali Ibrahimoglu and   
             Brahim Benouahmane   Radial orthogonality and Lebesgue
                                  constants on the disk  . . . . . . . . . 291--313
             Luca Gemignani and   
                 Vanni Noferini   Modifications of Newton's method for
                                  even-grade palindromic polynomials and
                                  other twined polynomials . . . . . . . . 315--329
              R. D'Ambrosio and   
                E. Esposito and   
                 B. Paternoster   General linear methods for $ y'' =
                                  f(y(t)) $  . . . . . . . . . . . . . . . 331--349

Numerical Algorithms
Volume 61, Number 3, November, 2012

               Bernard Bialecki   A fourth order finite difference method
                                  for the Dirichlet biharmonic problem . . 351--375
         André Draux and   
                  Mohamed Sadik   Generalized $ q d $ algorithm for block
                                  band matrices  . . . . . . . . . . . . . 377--396
         Ioannis K. Argyros and   
                 Sa\"\id Hilout   Secant-type methods and nondiscrete
                                  induction  . . . . . . . . . . . . . . . 397--412
                  Lin Zheng and   
                   Chuanqing Gu   Semilocal convergence of a sixth-order
                                  method in Banach spaces  . . . . . . . . 413--427
               Yuanyuan Liu and   
                    Yongkui Zou   Numerical computation of connecting
                                  orbits on a manifold . . . . . . . . . . 429--464
             Gunar Matthies and   
                   Lutz Tobiska   A two-level local projection
                                  stabilisation on uniformly refined
                                  triangular meshes  . . . . . . . . . . . 465--478
               A. Valinejad and   
           S. Mohammad Hosseini   A stepsize control algorithm for SDEs
                                  with small noise based on stochastic
                                  Runge--Kutta Maruyama methods  . . . . . 479--498
           Sandile S. Motsa and   
           Precious Sibanda and   
               Gerald T. Marewo   On a new analytical method for flow
                                  between two inclined walls . . . . . . . 499--514
           Hossein Vosoughi and   
            Elyas Shivanian and   
               Saeid Abbasbandy   Unique and multiple PHAM series
                                  solutions of a class of nonlinear
                                  reactive transport model . . . . . . . . 515--524

Numerical Algorithms
Volume 61, Number 4, December, 2012

            Kassem Mustapha and   
                Jaafar AlMutawa   A finite difference method for an
                                  anomalous sub-diffusion equation, theory
                                  and applications . . . . . . . . . . . . 525--543
         Mohamed K. El-Daou and   
             Khaled M. Al-Hamad   Computation of the canonical polynomials
                                  and applications to some optimal control
                                  problems . . . . . . . . . . . . . . . . 545--566
           Janak Raj Sharma and   
                   Rajni Sharma   Modified Chebyshev--Halley type method
                                  and its variants for computing multiple
                                  roots  . . . . . . . . . . . . . . . . . 567--578
           Eugene O'Riordan and   
                    Jason Quinn   Parameter-uniform numerical methods for
                                  some singularly perturbed nonlinear
                                  initial value problems . . . . . . . . . 579--611
           Robert A. Van Gorder   Control of error in the homotopy
                                  analysis of semi-linear elliptic
                                  boundary value problems  . . . . . . . . 613--629
                Sergio Amat and   
             Sonia Busquier and   
María José Legaz and   
        Fernando Manzano \ldots   Reciprocal polynomial extrapolation vs
                                  Richardson extrapolation for singular
                                  perturbed boundary problems  . . . . . . 631--647
                Walter Gautschi   Sub-range Jacobi polynomials . . . . . . 649--657
               Behrouz Kheirfam   Primal-dual interior-point algorithm for
                                  semidefinite optimization based on a new
                                  kernel function with trigonometric
                                  barrier term . . . . . . . . . . . . . . 659--680
                Hani Akbari and   
             Asghar Kerayechian   Coiflet--Galerkin method for solving
                                  second order BVPs with variable
                                  coefficients in three dimensions . . . . 681--698


Numerical Algorithms
Volume 62, Number 1, January, 2013

           Jalil Rashidinia and   
          Khosro Maleknejad and   
                  Narges Taheri   Sinc--Galerkin method for numerical
                                  solution of the Bratu's problems . . . . 1--11
            Samuel N. Jator and   
                S. Swindell and   
                      R. French   Trigonometrically fitted block Numerov
                                  type method for $ y'' = f (x, y, y') $   13--26
                    Xin Luo and   
                  Jin Huang and   
                Chuan-Long Wang   Splitting extrapolation algorithms for
                                  solving the boundary integral equations
                                  of anisotropic Darcy's equation on
                                  polygons by mechanical quadrature
                                  methods  . . . . . . . . . . . . . . . . 27--43
                Brian A. Hagler   Anchoring and steering Gaussian
                                  quadrature for positive definite strong
                                  moment functionals . . . . . . . . . . . 45--58
              Zhong-Zhi Bai and   
                    Li-Li Zhang   Modulus-based synchronous two-stage
                                  multisplitting iteration methods for
                                  linear complementarity problems  . . . . 59--77
                     Le Han and   
                  Shujun Bi and   
                    Shaohua Pan   Nonsingularity of FB system and
                                  constraint nondegeneracy in semidefinite
                                  programming  . . . . . . . . . . . . . . 79--113
         Ioannis K. Argyros and   
                 Sa\"\id Hilout   Estimating upper bounds on the limit
                                  points of majorizing sequences for
                                  Newton's method  . . . . . . . . . . . . 115--132
            Philip W. Sharp and   
        Mohammad A. Qureshi and   
               Kevin R. Grazier   High order explicit Runge--Kutta Nyström
                                  pairs  . . . . . . . . . . . . . . . . . 133--148
               Wanyou Cheng and   
                     Zixin Chen   Nonmonotone spectral method for
                                  large-scale symmetric nonlinear
                                  equations  . . . . . . . . . . . . . . . 149--162

Numerical Algorithms
Volume 62, Number 2, February, 2013

      Gérard Meurant and   
              Petr Tichý   On computing quadrature-based bounds for
                                  the $A$-norm of the error in conjugate
                                  gradients  . . . . . . . . . . . . . . . 163--191
               Xiaojie Wang and   
                     Siqing Gan   A Runge--Kutta type scheme for nonlinear
                                  stochastic partial differential
                                  equations with multiplicative trace
                                  class noise  . . . . . . . . . . . . . . 193--223
               Peter Benner and   
     Patrick Kürschner and   
                      Jens Saak   Efficient handling of complex shift
                                  parameters in the low-rank Cholesky
                                  factor ADI method  . . . . . . . . . . . 225--251
               Ion Pavaloiu and   
                   Emil Catinas   On an Aitken--Newton type method . . . . 253--260
           Katrijn Frederix and   
             Steven Delvaux and   
                 Marc Van Barel   An algorithm for computing the
                                  eigenvalues of block companion matrices  261--287
               Xinzhong Cai and   
              Guoqiang Wang and   
                    Zihou Zhang   Complexity analysis and numerical
                                  implementation of primal-dual
                                  interior-point methods for convex
                                  quadratic optimization based on a finite
                                  barrier  . . . . . . . . . . . . . . . . 289--306
           Janak Raj Sharma and   
          Rangan Kumar Guha and   
                   Rajni Sharma   An efficient fourth order
                                  weighted-Newton method for systems of
                                  nonlinear equations  . . . . . . . . . . 307--323
                  Xuanchun Dong   A trigonometric integrator
                                  pseudospectral discretization for the
                                  $N$-coupled nonlinear Klein--Gordon
                                  equations  . . . . . . . . . . . . . . . 325--336
                    Tao Fan and   
                 Xiangcheng You   Optimal homotopy analysis method for
                                  nonlinear differential equations in the
                                  boundary layer . . . . . . . . . . . . . 337--354

Numerical Algorithms
Volume 62, Number 3, March, 2013

                  Jiyong Li and   
                     Xinyuan Wu   Adapted Falkner-type methods solving
                                  oscillatory second-order differential
                                  equations  . . . . . . . . . . . . . . . 355--381
                   Mingrong Cui   Convergence analysis of high-order
                                  compact alternating direction implicit
                                  schemes for the two-dimensional time
                                  fractional diffusion equation  . . . . . 383--409
            Reza Zolfaghari and   
               Abdollah Shidfar   Solving a parabolic PDE with nonlocal
                                  boundary conditions using the Sinc
                                  method . . . . . . . . . . . . . . . . . 411--427
              Xiaofeng Wang and   
                      Tie Zhang   A family of Steffensen type methods with
                                  seventh-order convergence  . . . . . . . 429--444
             Chafik Allouch and   
         Paul Sablonni\`ere and   
                   Driss Sbibih   A collocation method for the numerical
                                  solution of a two dimensional integral
                                  equation using a quadratic spline
                                  quasi-interpolant  . . . . . . . . . . . 445--468
           M. Khorramizadeh and   
               N. Mahdavi-Amiri   An efficient algorithm for sparse null
                                  space basis problem using ABS methods    469--485
              Germana Landi and   
         Elena Loli Piccolomini   NPTool: a Matlab software for
                                  nonnegative image restoration with
                                  Newton projection methods  . . . . . . . 487--504
          Faezeh Toutounian and   
                Nasser Akhoundi   Recursive self preconditioning method
                                  based on Schur complement for Toeplitz
                                  matrices . . . . . . . . . . . . . . . . 505--525
              Ghazala Akram and   
               Hamood Ur Rehman   Numerical solution of eighth order
                                  boundary value problems in reproducing
                                  kernel space . . . . . . . . . . . . . . 527--540

Numerical Algorithms
Volume 62, Number 4, April, 2013

                  Guido Ala and   
               Elisa Francomano   A marching-on in time meshless kernel
                                  based solver for full-wave
                                  electromagnetic simulation . . . . . . . 541--558
              Daniel Bessis and   
               Luca Perotti and   
               Daniel Vrinceanu   Noise in the complex plane: open
                                  problems . . . . . . . . . . . . . . . . 559--569
       Christos Kravvaritis and   
              Marilena Mitrouli   On the complete pivoting conjecture for
                                  Hadamard matrices: further progress and
                                  a good pivots property . . . . . . . . . 571--582
Maria João Rodrigues and   
              José Matos   A tau method for nonlinear dynamical
                                  systems  . . . . . . . . . . . . . . . . 583--600
             S. P. Oliveira and   
   A. Ruiz de Zárate and   
             A. C. da Rocha and   
              D. G. Alfaro Vigo   A note on the alternate trapezoidal
                                  quadrature method for Fredholm integral
                                  eigenvalue problems  . . . . . . . . . . 601--614
           Claudio Estatico and   
             Fabio Di Benedetto   Shift-invariant approximations of
                                  structured shift-variant blurring
                                  matrices . . . . . . . . . . . . . . . . 615--635
               V. Kalantzis and   
                   C. Bekas and   
                 A. Curioni and   
                 E. Gallopoulos   Accelerating data uncertainty
                                  quantification by solving linear systems
                                  with multiple right-hand sides . . . . . 637--653
              Zhong-Zhi Bai and   
                  Fang Chen and   
                   Zeng-Qi Wang   Additive block diagonal preconditioning
                                  for block two-by-two linear systems of
                                  skew-Hamiltonian coefficient matrices    655--675


Numerical Algorithms
Volume 63, Number 1, May, 2013

               Dingwen Deng and   
                Chengjian Zhang   Analysis of a fourth-order compact ADI
                                  method for a linear hyperbolic equation
                                  with three spatial variables . . . . . . 1--26
              M. M. Tharwat and   
               A. H. Bhrawy and   
                 Ahmet Yildirim   Numerical computation of eigenvalues of
                                  discontinuous Sturm--Liouville problems
                                  with parameter dependent boundary
                                  conditions using sinc method . . . . . . 27--48
             Guangqing Long and   
                  Weifen Wu and   
           Gnaneshwar Nelakanti   A fast multiscale Kantorovich method for
                                  weakly singular integral equations . . . 49--63
             Lothar Reichel and   
             Giuseppe Rodriguez   Old and new parameter choice rules for
                                  discrete ill-posed problems  . . . . . . 65--87
        Marek J. \'Smieta\'nski   A perturbed version of an inexact
                                  generalized Newton method for solving
                                  nonsmooth equations  . . . . . . . . . . 89--106
             S\lAwomir Milewski   Selected computational aspects of the
                                  meshless finite difference method  . . . 107--126
       Sébastien Duminil   A parallel implementation of the CMRH
                                  method for dense linear systems  . . . . 127--142
              Xindong Zhang and   
                   Juan Liu and   
                   Juan Wen and   
                    Bo Tang and   
                     Yinnian He   Analysis for one-dimensional
                                  time-fractional Tricomi-type equations
                                  by LDG methods . . . . . . . . . . . . . 143--164
            F. A. Costabile and   
                       E. Longo   $ \Delta_h $-Appell sequences and
                                  related interpolation problem  . . . . . 165--186
              Luisa D'Amore and   
           Rosanna Campagna and   
               Valeria Mele and   
                 Almerico Murli   ReLaTIve. An ANSI C90 software package
                                  for the \sc Real \sc Laplace \sc
                                  Transform \sc In\sc version  . . . . . . 187--211

Numerical Algorithms
Volume 63, Number 2, June, 2013

           Kendall Atkinson and   
                Olaf Hansen and   
                    David Chien   A spectral method for parabolic
                                  differential equations . . . . . . . . . 213--237
                  Ben Segal and   
                     M. A. Iwen   Improved sparse Fourier approximation
                                  results: faster implementations and
                                  stronger guarantees  . . . . . . . . . . 239--263
            Chang-Ming Chen and   
                     F. Liu and   
                  I. Turner and   
                     V. Anh and   
                        Y. Chen   Numerical approximation for a
                                  variable-order nonlinear
                                  reaction-subdiffusion equation . . . . . 265--290
                  Jun Zhang and   
                    Yu-Fei Yang   Nonlinear multigrid method for solving
                                  the anisotropic image denoising models   291--315
                R. Hiptmair and   
                G. Phillips and   
                       G. Sinha   Multiple point evaluation on combined
                                  tensor product supports  . . . . . . . . 317--337
          Kristopher L. Kuhlman   Review of inverse Laplace transform
                                  algorithms for Laplace-space numerical
                                  approaches . . . . . . . . . . . . . . . 339--355
                Ji-Teng Jia and   
                  Yao-Lin Jiang   Symbolic algorithm for solving cyclic
                                  penta-diagonal linear systems  . . . . . 357--367
                Walter Gautschi   Repeated modifications of orthogonal
                                  polynomials by linear divisors . . . . . 369--383
                   S. Asadi and   
                    H. Mansouri   Polynomial interior-point algorithm for
                                  $ P_*(\kappa)(\kappa) $ horizontal
                                  linear complementarity problems  . . . . 385--398

Numerical Algorithms
Volume 63, Number 3, July, 2013

           Sandile S. Motsa and   
               Precious Sibanda   Some modifications of the
                                  quasilinearization method with
                                  higher-order convergence for solving
                                  nonlinear BVPs . . . . . . . . . . . . . 399--417
                   Lina Yue and   
                  Yongjian Yang   A new integral filter algorithm for
                                  unconstrained global optimization  . . . 419--430
              Akbar Mohebbi and   
             Mostafa Abbaszadeh   Compact finite difference scheme for the
                                  solution of time fractional
                                  advection-dispersion equation  . . . . . 431--452
                  Phillip Barry   Properties of an $h$-Bernstein-like
                                  basis and curves . . . . . . . . . . . . 453--481
              Mathieu Huard and   
          Nathalie Sprynski and   
            Nicolas Szafran and   
                      Luc Biard   Reconstruction of quasi developable
                                  surfaces from ribbon curves  . . . . . . 483--506
              Pascal Maroni and   
          Zélia da Rocha   Connection coefficients for orthogonal
                                  polynomials: symbolic computations,
                                  verifications and demonstrations in the
                                  Mathematica language . . . . . . . . . . 507--520
             Shan-Shan Wang and   
                 Guo-Feng Zhang   Preconditioned AHSS iteration method for
                                  singular saddle point problems . . . . . 521--535
                Hassan Majidian   Numerical approximation of highly
                                  oscillatory integrals on semi-finite
                                  intervals by steepest descent method . . 537--548
                Jovana Dzuni\'c   On efficient two-parameter methods for
                                  solving nonlinear equations  . . . . . . 549--569
              Luisa D'Amore and   
           Rosanna Campagna and   
               Valeria Mele and   
             Almerico Murli and   
          Mariarosaria Rizzardi   Erratum to: ReLaTIve. An ANSI C90
                                  software package for the \sc Real \sc
                                  Laplace \sc Transform \sc In\sc version  571--571

Numerical Algorithms
Volume 63, Number 4, August, 2013

                    Rafal Nowak   A method of convergence acceleration of
                                  some continued fractions II  . . . . . . 573--600
                   Iwona Skalna   Algorithm for min-range multiplication
                                  of affine forms  . . . . . . . . . . . . 601--614
           Christian Mollet and   
                   Roland Pabel   Efficient application of nonlinear
                                  stationary operators in adaptive wavelet
                                  methods --- the isotropic case . . . . . 615--643
          Gian Mario Besana and   
            Sandra Di Rocco and   
     Jonathan D. Hauenstein and   
          Andrew J. Sommese and   
             Charles W. Wampler   Cell decomposition of almost smooth real
                                  algebraic surfaces . . . . . . . . . . . 645--678
                 Sergey Khashin   Butcher algebras for Butcher systems . . 679--689
            Xiangtuan Xiong and   
              Xiaochen Zhao and   
                    Junxia Wang   Spectral Galerkin method and its
                                  application to a Cauchy problem of
                                  Helmholtz equation . . . . . . . . . . . 691--711
               F. F. Ngwane and   
                    S. N. Jator   Block hybrid method using trigonometric
                                  basis for initial value problems with
                                  oscillating solutions  . . . . . . . . . 713--725
                Tiexiang Li and   
        Peter Chang-Yi Weng and   
          Eric King-wah Chu and   
                    Wen-Wei Lin   Large-scale Stein and Lyapunov
                                  equations, Smith method, and
                                  applications . . . . . . . . . . . . . . 727--752
                     Lin Mu and   
               Junping Wang and   
                Yanqiu Wang and   
                         Xiu Ye   A computational study of the weak
                                  Galerkin method for second-order
                                  elliptic equations . . . . . . . . . . . 753--777


Numerical Algorithms
Volume 64, Number 1, September, 2013

                Jinghui Liu and   
                   Changfeng Ma   A nonmonotone trust region method with
                                  new inexact line search for
                                  unconstrained optimization . . . . . . . 1--20
           Masoud Ahookhosh and   
               Keyvan Amini and   
                Somayeh Bahrami   Two derivative-free projection
                                  approaches for systems of large-scale
                                  nonlinear monotone equations . . . . . . 21--42
         Antonios Danelakis and   
          Marilena Mitrouli and   
        Dimitrios Triantafyllou   Blind image deconvolution using a banded
                                  matrix method  . . . . . . . . . . . . . 43--72
              Michele Benzi and   
                      Zhen Wang   A parallel implementation of the
                                  modified augmented Lagrangian
                                  preconditioner for the incompressible
                                  Navier--Stokes equations . . . . . . . . 73--84
       Paulo B. Vasconcelos and   
      Filomena D. d'Almeida and   
                  Jose E. Roman   A Jacobi--Davidson type method with a
                                  correction equation tailored for
                                  integral operators . . . . . . . . . . . 85--103
                Xiuhua Wang and   
                    Jisheng Kou   Semilocal convergence and $R$-order for
                                  modified Chebyshev--Halley methods . . . 105--126
          Temur Jangveladze and   
            Zurab Kiguradze and   
                  Beny Neta and   
                   Simeon Reich   Finite element approximations of a
                                  nonlinear diffusion model with memory    127--155
            F. A. Costabile and   
              F. Dell'Accio and   
                  F. Di Tommaso   Complementary Lidstone interpolation on
                                  scattered data sets  . . . . . . . . . . 157--180
            Chia-Tche Chang and   
             Vincent D. Blondel   An experimental study of approximation
                                  algorithms for the joint spectral radius 181--202

Numerical Algorithms
Volume 64, Number 2, October, 2013

         Mohamed K. El-Daou and   
          Suad Sh. Al Enezi and   
               Mona M. Mekkaoui   Correction of eigenvalues estimated by
                                  the Legendre--Gauss Tau method . . . . . 203--220
           Yves Courvoisier and   
               Martin J. Gander   Optimization of Schwarz waveform
                                  relaxation over short time windows . . . 221--243
                 Ning Zheng and   
                   Jun-Feng Yin   Accelerated modulus-based matrix
                                  splitting iteration methods for linear
                                  complementarity problem  . . . . . . . . 245--262
                 J. Baglama and   
                 L. Reichel and   
                    D. Richmond   An augmented LSQR method . . . . . . . . 263--293
                   Chun-Hua Guo   Monotone convergence of Newton-like
                                  methods for $M$-matrix algebraic Riccati
                                  equations  . . . . . . . . . . . . . . . 295--309
                 Chao-Ping Chen   Unified treatment of several asymptotic
                                  formulas for the gamma function  . . . . 311--319
                    Ming Gu and   
               Lek-Heng Lim and   
                 Cinna Julie Wu   ParNes: a rapidly convergent algorithm
                                  for accurate recovery of sparse and
                                  approximately sparse signals . . . . . . 321--347
           Bernard Bialecki and   
           Andreas Karageorghis   Modified nodal cubic spline collocation
                                  for three-dimensional variable
                                  coefficient second order partial
                                  differential equations . . . . . . . . . 349--383
           Calin-Ioan Gheorghiu   Laguerre collocation solutions to
                                  boundary layer type problems . . . . . . 385--401

Numerical Algorithms
Volume 64, Number 3, November, 2013

                   Lei Feng and   
                   Weiping Wang   Two families of approximations for the
                                  gamma function . . . . . . . . . . . . . 403--416
                Walter Gautschi   Neutralizing nearby singularities in
                                  numerical quadrature . . . . . . . . . . 417--425
                A. Karageorghis   Efficient Trefftz collocation algorithms
                                  for elliptic problems in circular
                                  domains  . . . . . . . . . . . . . . . . 427--453
                   Zhuohua Peng   The reflexive least squares solutions of
                                  the matrix equation $ A_1 X_1 B_1 + A_2
                                  X_2 B_2 + \cdots + A_l X_l B_l = C $
                                  with a submatrix constraint  . . . . . . 455--480
                John W. Pearson   A radial basis function method for
                                  solving PDE-constrained optimization
                                  problems . . . . . . . . . . . . . . . . 481--506
                  Fang Chen and   
                  Qing-Quan Liu   On semi-convergence of modified HSS
                                  iteration methods  . . . . . . . . . . . 507--518
      Michael Daniel Samson and   
                 Huiyuan Li and   
                   Li-Lian Wang   A new triangular spectral element method
                                  I: implementation and analysis on a
                                  triangle . . . . . . . . . . . . . . . . 519--547
              I. K. Argyros and   
             D. González   Unified majorizing sequences for
                                  Traub-type multipoint iterative
                                  procedures . . . . . . . . . . . . . . . 549--565
          Steffen Börm and   
            Jessica Gördes   Low-rank approximation of integral
                                  operators by using the Green formula and
                                  quadrature . . . . . . . . . . . . . . . 567--592

Numerical Algorithms
Volume 64, Number 4, December, 2013

              S. Abbasbandy and   
                      M. Jalili   Determination of optimal
                                  convergence-control parameter value in
                                  homotopy analysis method . . . . . . . . 593--605
                   Igor Boglaev   Uniform quadratic convergence of
                                  monotone iterates for nonlinear
                                  singularly perturbed parabolic problems  607--631
           Kristina Mallory and   
           Robert A. Van Gorder   Control of error in the homotopy
                                  analysis of solutions to the Zakharov
                                  system with dissipation  . . . . . . . . 633--657
                Qingbiao Wu and   
                   Minhong Chen   Convergence analysis of modified
                                  Newton--HSS method for solving systems
                                  of nonlinear equations . . . . . . . . . 659--683
José Antonio Ezquerro and   
                Angela Grau and   
 Miquel Grau-Sánchez and   
Miguel Ángel Hernández   On the efficiency of two variants of
                                  Kurchatov's method for solving nonlinear
                                  systems  . . . . . . . . . . . . . . . . 685--698
              Daniela Inoan and   
                      Ioan Rasa   A recursive algorithm for Bernstein
                                  operators of second kind . . . . . . . . 699--706
              Jianfei Huang and   
                  Yifa Tang and   
        Luis Vázquez and   
                      Jiye Yang   Two finite difference schemes for time
                                  fractional diffusion-wave equation . . . 707--720
               Yunong Zhang and   
                    Zhen Li and   
              Dongsheng Guo and   
                  Zhende Ke and   
                       Pei Chen   Discrete-time ZD, GD and NI for solving
                                  nonlinear time-varying equations . . . . 721--740
               Ping-Fan Dai and   
              Chang-Jing Lu and   
                    Yao-Tang Li   New error bounds for the linear
                                  complementarity problem with an $ S B
                                  $-matrix . . . . . . . . . . . . . . . . 741--757
                Walter Gautschi   Erratum to: Numerical integration over
                                  the square in the presence of
                                  algebraic/logarithmic singularities with
                                  an application to aerodynamics . . . . . 759--759


Numerical Algorithms
Volume 65, Number 1, January, 2014

             Chun-ming Tang and   
                  Shuai Liu and   
               Jin-bao Jian and   
                   Jian-ling Li   A feasible SQP--GS algorithm for
                                  nonconvex, nonsmooth constrained
                                  optimization . . . . . . . . . . . . . . 1--22
         Anastasia Cornelio and   
     Elena Loli Piccolomini and   
                  James G. Nagy   Constrained numerical optimization
                                  methods for blind deconvolution  . . . . 23--42
              Zhong-Zhi Bai and   
                Yu-Hong Ran and   
                        Li Yuan   On approximated ILU and UGS
                                  preconditioning methods for linearized
                                  discretized steady incompressible
                                  Navier--Stokes equations . . . . . . . . 43--68
    Jurjen Duintjer Tebbens and   
          Gérard Meurant   Prescribing the behavior of early
                                  terminating GMRES and Arnoldi iterations 69--90
          Martine Brilleaud and   
          Marie-Laurence Mazure   Design with $L$-splines  . . . . . . . . 91--124
               Jingjun Zhao and   
                    Yan Fan and   
                        Yang Xu   Delay-dependent stability analysis of
                                  symmetric boundary value methods for
                                  linear delay integro-differential
                                  equations  . . . . . . . . . . . . . . . 125--151
    Diyashvir K. R. Babajee and   
             Alicia Cordero and   
        Fazlollah Soleymani and   
             Juan R. Torregrosa   On improved three-step schemes with high
                                  efficiency index and their dynamics  . . 153--169
              H. Saberi Nik and   
                  S. Effati and   
                S. S. Motsa and   
                   M. Shirazian   Spectral homotopy analysis method and
                                  its convergence for solving a class of
                                  nonlinear optimal control problems . . . 171--194
                Radoslav Valkov   Fitted finite volume method for a
                                  generalized Black--Scholes equation
                                  transformed on finite interval . . . . . 195--220

Numerical Algorithms
Volume 65, Number 2, February, 2014

              Xiaojian Zhou and   
                   Xin Chen and   
                 Yongzhong Song   On the convergence radius of the
                                  modified Newton method for multiple
                                  roots under the center-Hölder condition   221--232
                  Yi-gui Ou and   
                         Wei Ma   A modified ODE-based algorithm for
                                  unconstrained optimization problems  . . 233--250
                    Bo Dong and   
             Matthew M. Lin and   
                   Moody T. Chu   Nonnegative rank factorization --- a
                                  heuristic approach via rank reduction    251--274
             Davoud Mirzaei and   
                Robert Schaback   Solving heat conduction problems by the
                                  Direct Meshless Local Petrov--Galerkin
                                  (DMLPG) method . . . . . . . . . . . . . 275--291
                      A. Melman   Implementation of Pellet's theorem . . . 293--304
                    Tao-Wen Liu   A regularized limited memory BFGS method
                                  for nonconvex unconstrained minimization 305--323
            Djilali Behloul and   
                  Sui Sun Cheng   Polynomial solutions of a nonlinear
                                  difference equation  . . . . . . . . . . 325--337
                Xiuhua Wang and   
               Dongyang Shi and   
                    Jisheng Kou   Convergence analysis for a family of
                                  improved super-Halley methods under
                                  general convergence condition  . . . . . 339--354
         Khosrow Maleknejad and   
   Iraj Najafi Khalilsaraye and   
               Mahdieh Alizadeh   On the solution of the
                                  integro-differential equation with an
                                  integral boundary condition  . . . . . . 355--374

Numerical Algorithms
Volume 65, Number 3, March, 2014

              Kevin Burrage and   
            Chus Sanz-Serna and   
           Zdzis\law Jackiewicz   Preface  . . . . . . . . . . . . . . . . 375--376
        Angelamaria Cardone and   
       Zdzis\law Jackiewicz and   
               Adrian Sandu and   
                     Hong Zhang   Extrapolation-based implicit-explicit
                                  general linear methods . . . . . . . . . 377--399
              R. P. K. Chan and   
                      N. Razali   Smoothing effects on the IMR and ITR . . 401--420
               Dajana Conte and   
        Raffaele D'Ambrosio and   
                  Giuseppe Izzo   Natural Volterra Runge--Kutta methods    421--445
          Piers W. Lawrence and   
              Robert M. Corless   Stability of rootfinding for barycentric
                                  Lagrange interpolants  . . . . . . . . . 447--464
                  Jiyong Li and   
                     Xinyuan Wu   Error analysis of explicit TSERKN
                                  methods for highly oscillatory systems   465--483
                   Adrian Sandu   A new look at the chemical master
                                  equation . . . . . . . . . . . . . . . . 485--498
            John C. Butcher and   
                  Gulshad Imran   Symplectic effective order methods . . . 499--517
          Pamela M. Burrage and   
                  Kevin Burrage   Structure-preserving Runge--Kutta
                                  methods for stochastic Hamiltonian
                                  equations with additive noise  . . . . . 519--532
                  D. J. L. Chen   The efficiency of singly-implicit
                                  Runge--Kutta methods for stiff
                                  differential equations . . . . . . . . . 533--554
                   J. H. Verner   Explicit Runge--Kutta pairs with lower
                                  stage-order  . . . . . . . . . . . . . . 555--577
        Raffaele D'Ambrosio and   
        Giuseppe De Martino and   
           Beatrice Paternoster   Order conditions for General Linear
                                  Nyström methods . . . . . . . . . . . . . 579--595
                 Sergey Khashin   Symmetries of explicit Runge--Kutta
                                  methods  . . . . . . . . . . . . . . . . 597--609
             Luigi Brugnano and   
                     Yajuan Sun   Multiple invariants conserving
                                  Runge--Kutta type methods for
                                  Hamiltonian problems . . . . . . . . . . 611--632
             Luigi Brugnano and   
     Gianluca Frasca Caccia and   
               Felice Iavernaro   Efficient implementation of Gauss
                                  collocation and Hamiltonian boundary
                                  value methods  . . . . . . . . . . . . . 633--650
               Yonglei Fang and   
                  Xiong You and   
                    Qinghe Ming   Trigonometrically fitted two-derivative
                                  Runge--Kutta methods for solving
                                  oscillatory differential equations . . . 651--667
                  T. M. H. Chan   Relations between the Hopf algebra and
                                  the $B$-series with new concepts . . . . 669--685
          Angela Y. J. Tsai and   
          Robert P. K. Chan and   
                   Shixiao Wang   Two-derivative Runge--Kutta methods for
                                  PDEs using a novel discretization
                                  approach . . . . . . . . . . . . . . . . 687--703
                   Bin Wang and   
                     Xinyuan Wu   A highly accurate explicit symplectic
                                  ERKN method for multi-frequency and
                                  multidimensional oscillatory Hamiltonian
                                  systems  . . . . . . . . . . . . . . . . 705--721

Numerical Algorithms
Volume 65, Number 4, April, 2014

               Jingjun Zhao and   
                Jingyu Xiao and   
                Neville J. Ford   Collocation methods for fractional
                                  integro-differential equations with
                                  weakly singular kernels  . . . . . . . . 723--743
               Paolo Novati and   
            Maria Rosaria Russo   Adaptive Arnoldi--Tikhonov
                                  regularization for image restoration . . 745--757
     Tomás Gergelits and   
                 Zdenek Strakos   Composite convergence bounds based on
                                  Chebyshev polynomials and finite
                                  precision conjugate gradient
                                  computations . . . . . . . . . . . . . . 759--782
              Alain F. Berlinet   Geometric approach to the parallel sum
                                  of vectors and application to the vector
                                  $ \varepsilon $-algorithm  . . . . . . . 783--807
          Sanjay K. Khattri and   
                 Trond Steihaug   Algorithm for forming derivative-free
                                  optimal methods  . . . . . . . . . . . . 809--824
                     Yan Yu and   
                      Bo Yu and   
                        Bo Dong   Robust continuation methods for tracing
                                  solution curves of parameterized systems 825--841
          Azzeddine Bellour and   
             Mahmoud Bousselsal   A Taylor collocation method for solving
                                  delay integral equations . . . . . . . . 843--857
                 Neculai Andrei   An accelerated subspace minimization
                                  three-term conjugate gradient algorithm
                                  for unconstrained optimization . . . . . 859--874
                H. W. Zhang and   
                         T. Wei   Two iterative methods for a Cauchy
                                  problem of the elliptic equation with
                                  variable coefficients in a strip region  875--892


Numerical Algorithms
Volume 66, Number 1, May, 2014

             J. M. Carnicer and   
                C. Godés   Interpolation on the disk  . . . . . . . 1--16
                 H. Scolnik and   
                N. Echebest and   
              M. T. Guardarucci   On the incomplete oblique projections
                                  method for solving box constrained least
                                  squares problems . . . . . . . . . . . . 17--32
                Xiuhua Wang and   
                    Jisheng Kou   Convergence for a family of modified
                                  Chebyshev methods under weak condition   33--48
               Keyvan Amini and   
           Masoud Ahookhosh and   
               Hadi Nosratipour   An inexact line search approach using
                                  modified nonmonotone strategy for
                                  unconstrained optimization . . . . . . . 49--78
              Nikolaos Halidias   A novel approach to construct numerical
                                  methods for stochastic differential
                                  equations  . . . . . . . . . . . . . . . 79--87
          Sebastien Duminil and   
              Hassane Sadok and   
                David Silvester   Fast solvers for discretized
                                  Navier--Stokes problems using vector
                                  extrapolation  . . . . . . . . . . . . . 89--104
              Michele Benzi and   
                  Elena Toscano   Mauro Picone, Sandro Faedo, and the
                                  numerical solution of partial
                                  differential equations in Italy
                                  (1928--1953) . . . . . . . . . . . . . . 105--145
                  Xiong You and   
                 Jinxi Zhao and   
                Hongli Yang and   
               Yonglei Fang and   
                     Xinyuan Wu   Order conditions for RKN methods solving
                                  general second-order oscillatory systems 147--176
                   M. Khasi and   
               F. Ghoreishi and   
                   M. Hadizadeh   Numerical analysis of a high order
                                  method for state-dependent delay
                                  integral equations . . . . . . . . . . . 177--201

Numerical Algorithms
Volume 66, Number 2, June, 2014

                  Zhen Chao and   
                   Naimin Zhang   A generalized preconditioned HSS method
                                  for singular saddle point problems . . . 203--221
               Xiao-Ping Xu and   
                 Feng-Gong Lang   Quintic B-spline method for function
                                  reconstruction from integral values of
                                  successive subintervals  . . . . . . . . 223--240
             J. A. Ezquerro and   
M. A. Hernández-Verón and   
                M. J. Rubio and   
                  A. I. Velasco   An hybrid method that improves the
                                  accessibility of Steffensen's method . . 241--267
              Mathew Baxter and   
       Robert A. Van Gorder and   
         Kuppalapalle Vajravelu   On the choice of auxiliary linear
                                  operator in the optimal homotopy
                                  analysis of the Cahn--Hilliard initial
                                  value problem  . . . . . . . . . . . . . 269--298
                  Hui Zhang and   
                  Yao-Lin Jiang   A note on the $ H^1 $-convergence of the
                                  overlapping Schwarz waveform relaxation
                                  method for the heat equation . . . . . . 299--307
              Siegfried M. Rump   Improved componentwise verified error
                                  bounds for least squares problems and
                                  underdetermined linear systems . . . . . 309--322
                Yair Censor and   
           Ioana Pantelimon and   
                Constantin Popa   Family constraining of iterative
                                  algorithms . . . . . . . . . . . . . . . 323--338
               P. Sablonni\`ere   Padé-type approximants for generalized
                                  Euler transforms . . . . . . . . . . . . 339--347
               Behrouz Kheirfam   A predictor--corrector interior-point
                                  algorithm for $ P_*(\kappa) $-horizontal
                                  linear complementarity problem . . . . . 349--361
               Peter Benner and   
              Pablo Ezzatti and   
Enrique S. Quintana-Ortí and   
           Alfredo Remón   A factored variant of the Newton
                                  iteration for the solution of algebraic
                                  Riccati equations via the matrix sign
                                  function . . . . . . . . . . . . . . . . 363--377
                Yuchao Tang and   
                 Jigen Peng and   
                    Shigang Yue   Cyclic and simultaneous iterative
                                  methods to matrix equations of the form
                                  $ A_i X B_i = F_i $  . . . . . . . . . . 379--397
                Lavdie Rada and   
                        Ke Chen   A variational model and its numerical
                                  solution for local, selective and
                                  automatic segmentation . . . . . . . . . 399--430

Numerical Algorithms
Volume 66, Number 3, July, 2014

José M. Gutiérrez and   
Luis J. Hernández-Paricio and   
Miguel Marañón-Grandes and   
M. Teresa Rivas-Rodríguez   Influence of the multiplicity of the
                                  roots on the basins of attraction of
                                  Newton's method  . . . . . . . . . . . . 431--455
       Richard M. Slevinsky and   
                 Hassan Safouhi   Useful properties of the coefficients of
                                  the Slevinsky--Safouhi formula for
                                  differentiation  . . . . . . . . . . . . 457--477
              Kingston Kang and   
            William Lothian and   
              Jessica Sears and   
                Brian D. Sutton   Simultaneous multidiagonalization for
                                  the CS decomposition . . . . . . . . . . 479--493
                 S. Shateyi and   
                S. S. Motsa and   
                        Y. Khan   A new piecewise spectral homotopy
                                  analysis of the Michaelis--Menten
                                  enzymatic reactions model  . . . . . . . 495--510
                Hongwei Lin and   
                 Yuelin Gao and   
                    Yuping Wang   A continuously differentiable filled
                                  function method for global optimization  511--523
              Manuel Alfaro and   
            Ana Peña and   
     Teresa E. Pérez and   
                M. Luisa Rezola   On linearly related orthogonal
                                  polynomials in several variables . . . . 525--553
                      Xu Li and   
                 Ai-Li Yang and   
                    Yu-Jiang Wu   Lopsided PMHSS iteration method for a
                                  class of complex symmetric linear
                                  systems  . . . . . . . . . . . . . . . . 555--568
              Aleksandar Pejcev   Error bounds for Gauss-type quadratures
                                  with Bernstein--Szeg\Ho weights  . . . . 569--590
                  M. Arioli and   
                       J. Scott   Chebyshev acceleration of iterative
                                  refinement . . . . . . . . . . . . . . . 591--608
     Harald Hofstätter and   
                    Othmar Koch   An approximate eigensolver for
                                  self-consistent field calculations . . . 609--641
              J. Rashidinia and   
                  A. Barati and   
                      M. Nabati   Application of Sinc--Galerkin method to
                                  singularly perturbed parabolic
                                  convection-diffusion problems  . . . . . 643--662
                  R. Naseri and   
                       A. Malek   Optimization technique in solving
                                  laminar boundary layer problems with
                                  temperature dependent viscosity  . . . . 663--678
      Gérard Meurant and   
              Petr Tichý   Erratum to: On computing
                                  quadrature-based bounds for the $A$-norm
                                  of the error in conjugate gradients  . . 679--680

Numerical Algorithms
Volume 66, Number 4, August, 2014

            Daniel Kressner and   
     Marija Miloloza Pandur and   
                    Meiyue Shao   An indefinite variant of LOBPCG for
                                  definite matrix pencils  . . . . . . . . 681--703
                 Ai-Li Yang and   
                Yu-Jiang Wu and   
                   Zhen-Jian Xu   The semi-convergence properties of MHSS
                                  method for a class of complex
                                  nonsymmetric singular linear systems . . 705--719
                   Karla Pockaj   Hermite $ G^1 $ rational spline motion
                                  of degree six  . . . . . . . . . . . . . 721--739
              Fu-Sheng Wang and   
               Jin-Bao Jian and   
                Chuan-Long Wang   A model-hybrid approach for
                                  unconstrained optimization problems  . . 741--759
           Tristan A. Hearn and   
                 Lothar Reichel   Application of denoising methods to
                                  regularization of ill-posed problems . . 761--777
                    Wei-Qi Deng   A new iterative algorithm for solving a
                                  system of generalized mixed equilibrium
                                  problems for a kind of multi-valued
                                  nonlinear mappings . . . . . . . . . . . 779--791
               Fengmin Chen and   
            Patricia J. Y. Wong   Deficient discrete cubic spline solution
                                  for a system of second order boundary
                                  value problems . . . . . . . . . . . . . 793--809
               Owe Axelsson and   
             Maya Neytcheva and   
                   Bashir Ahmad   A comparison of iterative methods to
                                  solve complex valued linear algebraic
                                  systems  . . . . . . . . . . . . . . . . 811--841
           Kristina Mallory and   
           Robert A. Van Gorder   Optimal homotopy analysis and control of
                                  error for solutions to the non-local
                                  Whitham equation . . . . . . . . . . . . 843--863
               Sandile S. Motsa   On the practical use of the spectral
                                  homotopy analysis method and local
                                  linearisation method for unsteady
                                  boundary-layer flows caused by an
                                  impulsively stretching plate . . . . . . 865--883
               Bilel Kchouk and   
           Jean-Pierre Dussault   On per-iteration complexity of high
                                  order Chebyshev methods for sparse
                                  functions with banded Hessians . . . . . 885--909
                    J. Song and   
                      Q. Yu and   
                     F. Liu and   
                      I. Turner   A spatially second-order accurate
                                  implicit numerical method for the space
                                  and time fractional Bloch--Torrey
                                  equation . . . . . . . . . . . . . . . . 911--932


Numerical Algorithms
Volume 67, Number 1, September, 2014

              Markus Aurada and   
              Michael Ebner and   
            Michael Feischl and   
        Samuel Ferraz-Leite and   
         Thomas Führer and   
            Petra Goldenits and   
           Michael Karkulik and   
                Markus Mayr and   
                Dirk Praetorius   HILBERT --- a MATLAB implementation of
                                  adaptive $2$D-BEM  . . . . . . . . . . . 1--32
           M. Reza Peyghami and   
            S. Fathi Hafshejani   Complexity analysis of an interior-point
                                  algorithm for linear optimization based
                                  on a new proximity function  . . . . . . 33--48
              Songxin Liang and   
                      Junchi Ma   Laplace transform for the solution of
                                  higher order deformation equations
                                  arising in the homotopy analysis method  49--57
                Walter Gautschi   High-precision Gauss--Turán quadrature
                                  rules for Laguerre and Hermite weight
                                  functions  . . . . . . . . . . . . . . . 59--72
                    K. Chen and   
        E. Loli Piccolomini and   
                        F. Zama   An automatic regularization parameter
                                  selection algorithm in the total
                                  variation model for image deblurring . . 73--92
Gilberto González-Parra and   
                 Luis Acedo and   
              Abraham J. Arenas   A novel approach to obtain
                                  analytical-numerical solutions of
                                  nonlinear Lorenz system  . . . . . . . . 93--107
             Micol Ferranti and   
              Thanh Hieu Le and   
                  Raf Vandebril   A comparison between the complex
                                  symmetric based and classical
                                  computation of the singular value
                                  decomposition of normal matrices . . . . 109--120
         Martin S. Andersen and   
           Per Christian Hansen   Generalized row-action methods for
                                  tomographic imaging  . . . . . . . . . . 121--144
                Sergio Amat and   
                  Juan Ruiz and   
               J. Carlos Trillo   Improving the compression rate versus $
                                  L^1 $ error ratio in cell-average error
                                  control algorithms . . . . . . . . . . . 145--162
            Edyta Hetmaniok and   
               Damian Slota and   
         Tomasz Trawi\'nski and   
                   Roman Witula   Usage of the homotopy analysis method
                                  for solving the nonlinear and linear
                                  integral equations of the second kind    163--185
      Miodrag S. Petkovi\'c and   
             Lidija Z. Ranci\'c   On the guaranteed convergence of new
                                  two-point root-finding methods for
                                  polynomial zeros . . . . . . . . . . . . 187--222
           Malik Zaka Ullah and   
        Fazlollah Soleymani and   
                 A. S. Al-Fhaid   Numerical solution of nonlinear systems
                                  by a general class of iterative methods
                                  with application to nonlinear PDEs . . . 223--242

Numerical Algorithms
Volume 67, Number 2, October, 2014

                    Wei-Qi Deng   The split common fixed point problem for
                                  infinite families of total
                                  quasi-asymptotically nonexpansive
                                  operators  . . . . . . . . . . . . . . . 243--256
                     Wen Li and   
                      Hua Zheng   Some new error bounds for linear
                                  complementarity problems of $H$-matrices 257--269
           Maxim Derevyagin and   
     Francisco Marcellán   A note on the Geronimus transformation
                                  and Sobolev orthogonal polynomials . . . 271--287
                 D. R. Sahu and   
        Krishna Kumar Singh and   
              Vipin Kumar Singh   A Newton-like method for generalized
                                  operator equations in Banach spaces  . . 289--303
             Petru Jebelean and   
                Constantin Popa   Numerical solutions to singular $
                                  \varphi $-Laplacian with Dirichlet
                                  boundary conditions  . . . . . . . . . . 305--318
                     Zhe Li and   
                         Qi Liu   A heuristic verification of the degree
                                  of the approximate GCD of two univariate
                                  polynomials  . . . . . . . . . . . . . . 319--334
           Theresa Springer and   
                  Karsten Urban   Comparison of the EM algorithm and
                                  alternatives . . . . . . . . . . . . . . 335--364
       José L. Hueso and   
        Eulalia Martínez   Semilocal convergence of a family of
                                  iterative methods in Banach spaces . . . 365--384
                L. Plaskota and   
              G. W. Wasilkowski   Efficient algorithms for multivariate
                                  and $ \infty $-variate integration with
                                  exponential weight . . . . . . . . . . . 385--403
                Hassan Majidian   Modified Euler's method with a graded
                                  mesh for a class of Volterra integral
                                  equations with weakly singular kernel    405--422
              Pouria Assari and   
           Hojatollah Adibi and   
                  Mehdi Dehghan   A meshless method based on the moving
                                  least squares (MLS) approximation for
                                  the numerical solution of
                                  two-dimensional nonlinear integral
                                  equations of the second kind on
                                  non-rectangular domains  . . . . . . . . 423--455
                Zhongdi Cen and   
              Fevzi Erdogan and   
                       Aimin Xu   An almost second order uniformly
                                  convergent scheme for a singularly
                                  perturbed initial value problem  . . . . 457--476

Numerical Algorithms
Volume 67, Number 3, November, 2014

                Yakui Huang and   
                Hongwei Liu and   
                       Sha Zhou   A Barzilai--Borwein type method for
                                  stochastic linear complementarity
                                  problems . . . . . . . . . . . . . . . . 477--489
      Gérard Meurant and   
               Alvise Sommariva   Fast variants of the Golub and Welsch
                                  algorithm for symmetric weight functions
                                  in Matlab  . . . . . . . . . . . . . . . 491--506
             Sebastian Birk and   
                Andreas Frommer   A deflated conjugate gradient method for
                                  multiple right hand sides and multiple
                                  shifts . . . . . . . . . . . . . . . . . 507--529
                Robert Schaback   Greedy sparse linear approximations of
                                  functionals from nodal data  . . . . . . 531--547
                Yen Chi Lun and   
       Fernando Rodrigo Rafaeli   Inequalities for zeros of Jacobi
                                  polynomials via Sturm's theorem:
                                  Gautschi's conjectures . . . . . . . . . 549--563
Gustavo Fernández-Torres   Derivative free iterative methods with
                                  memory of arbitrary high convergence
                                  order  . . . . . . . . . . . . . . . . . 565--580
               Wenting Shao and   
                    Xionghua Wu   A numerical study for the KdV and the
                                  good Boussinesq equations using Fourier
                                  Chebyshev tau meshless method  . . . . . 581--597
                    Bo Song and   
                  Yao-Lin Jiang   Analysis of a new parareal algorithm
                                  based on waveform relaxation method for
                                  time-periodic problems . . . . . . . . . 599--622
          Ali Özyapici and   
               Mustafa Riza and   
       Bülent Bilgehan and   
           Agamirza E. Bashirov   On multiplicative and Volterra
                                  minimization methods . . . . . . . . . . 623--636
            R. I. Okuonghae and   
                M. N. O. Ikhile   Second derivative general linear methods 637--654
Marta García-Esnaola and   
        Juan Manuel Peña   Error bounds for linear complementarity
                                  problems of Nekrasov matrices  . . . . . 655--667
               Peter Benner and   
   Mohammad-Sahadet Hossain and   
                 Tatjana Stykel   Low-rank iterative methods for periodic
                                  projected Lyapunov equations and their
                                  application in model reduction of
                                  periodic descriptor systems  . . . . . . 669--690

Numerical Algorithms
Volume 67, Number 4, December, 2014

           Kendall Atkinson and   
                David Chien and   
                    Olaf Hansen   Evaluating polynomials over the unit
                                  disk and the unit ball . . . . . . . . . 691--711
                  Roman Andreev   Space--time discretization of the heat
                                  equation . . . . . . . . . . . . . . . . 713--731
         Stefan Güttel and   
               Jennifer Pestana   Some observations on weighted GMRES  . . 733--752
      Vishnu Narayan Mishra and   
            Prashantkumar Patel   The Durrmeyer type modification of the
                                  $q$-Baskakov type operators with two
                                  parameter $ \alpha $ and $ \beta $ . . . 753--769
                   Xiang Wu and   
              Kanjian Zhang and   
                   Changyin Sun   Numerical algorithm for a class of
                                  constrained optimal control problems of
                                  switched systems . . . . . . . . . . . . 771--792
            Lj. Cvetkovi\'c and   
              A. Hadjidimos and   
                    V. Kosti\'c   On the choice of parameters in MAOR type
                                  splitting methods for the linear
                                  complementarity problem  . . . . . . . . 793--806
              Laurent Gajny and   
             Olivier Gibaru and   
                     Eric Nyiri   $ L_1 C^1 $ polynomial spline
                                  approximation algorithms for large data
                                  sets . . . . . . . . . . . . . . . . . . 807--826
                 Wei-Si Xie and   
                Yu-Fei Yang and   
                        Bo Zhou   An ADMM algorithm for second-order
                                  TV-based MR image reconstruction . . . . 827--843
                  Huiya Dai and   
                 Leilei Wei and   
                  Xindong Zhang   Numerical algorithm based on an implicit
                                  fully discrete local discontinuous
                                  Galerkin method for the fractional
                                  diffusion-wave equation  . . . . . . . . 845--862
                Boris I. Kvasov   Discrete weighted cubic splines  . . . . 863--888
            Lahcen Laayouni and   
                Daniel B. Szyld   On the performance of the algebraic
                                  optimized Schwarz methods with
                                  applications . . . . . . . . . . . . . . 889--916
           Janak Raj Sharma and   
                   Himani Arora   A novel derivative free algorithm with
                                  seventh order convergence for solving
                                  systems of nonlinear equations . . . . . 917--933


Numerical Algorithms
Volume 68, Number 1, January, 2015

           Calin-Ioan Gheorghiu   Pseudospectral solutions to some
                                  singular nonlinear BVPs  . . . . . . . . 1--14
             Arno Mayrhofer and   
             Martin Ferrand and   
       Christophe Kassiotis and   
             Damien Violeau and   
   François-Xavier Morel   Unified semi-analytical wall boundary
                                  conditions in SPH: analytical extension
                                  to $3$-D . . . . . . . . . . . . . . . . 15--34
      Herbert Dueñas and   
              Luis E. Garza and   
            Miguel Piñar   A higher order Sobolev-type inner
                                  product for orthogonal polynomials in
                                  several variables  . . . . . . . . . . . 35--46
Ángel Alberto Magreñán and   
             Ioannis K. Argyros   An extension of a theorem by Wang for
                                  Smale's $ \alpha $-theory and
                                  applications . . . . . . . . . . . . . . 47--60
                Radoslav Valkov   Convergence of a finite volume element
                                  method for a generalized Black--Scholes
                                  equation transformed on finite interval  61--80
                  Minoo Kamrani   Numerical solution of stochastic
                                  fractional differential equations  . . . 81--93
                  Zhen Chao and   
                  Guoliang Chen   A note on semi-convergence of
                                  generalized parameterized inexact Uzawa
                                  method for singular saddle point
                                  problems . . . . . . . . . . . . . . . . 95--105
                  K. Jbilou and   
                       H. Sadok   Matrix polynomial and epsilon-type
                                  extrapolation methods with applications  107--119
                  Liqi Wang and   
               Moody T. Chu and   
                          Yu Bo   A computational framework of gradient
                                  flows for general linear matrix
                                  equations  . . . . . . . . . . . . . . . 121--141
      Gérard Meurant and   
        Jurjen Duintjer Tebbens   The role eigenvalues play in forming
                                  GMRES residual norms with non-normal
                                  matrices . . . . . . . . . . . . . . . . 143--165
        Benedict Dingfelder and   
              J. A. C. Weideman   An improved Talbot method for numerical
                                  Laplace transform inversion  . . . . . . 167--183
           Andreas Karageorghis   The method of fundamental solutions for
                                  elliptic problems in circular domains
                                  with mixed boundary conditions . . . . . 185--211

Numerical Algorithms
Volume 68, Number 2, February, 2015

               Keyvan Amini and   
              Ahmad Kamandi and   
                Somayeh Bahrami   A double-projection-based algorithm for
                                  large-scale nonlinear systems of
                                  monotone equations . . . . . . . . . . . 213--228
                   Wolfgang Erb   Accelerated Landweber methods based on
                                  co-dilated orthogonal polynomials  . . . 229--260
                Taher Lotfi and   
            Somayeh Sharifi and   
               Mehdi Salimi and   
                Stefan Siegmund   A new class of three-point methods with
                                  optimal convergence order eight and its
                                  dynamics . . . . . . . . . . . . . . . . 261--288
          Vorkady S. Shubha and   
            Santhosh George and   
                      P. Jidesh   A derivative free iterative method for
                                  the implementation of Lavrentiev
                                  regularization method for ill-posed
                                  equations  . . . . . . . . . . . . . . . 289--304
                 Neculai Andrei   A new three-term conjugate gradient
                                  algorithm for unconstrained optimization 305--321
             Alicia Cordero and   
                Taher Lotfi and   
           Parisa Bakhtiari and   
             Juan R. Torregrosa   An efficient two-parametric family with
                                  memory for nonlinear equations . . . . . 323--335
                 Ali Shokri and   
                  Hosein Saadat   High phase-lag order trigonometrically
                                  fitted two-step Obrechkoff methods for
                                  the numerical solution of periodic
                                  initial value problems . . . . . . . . . 337--354
                    Li Yang and   
                      Bo Yu and   
                       YanXi Li   A homotopy method for nonlinear
                                  second-order cone programming  . . . . . 355--365
                Anca Ciurte and   
           Sergiu Nedevschi and   
                      Ioan Rasa   Systems of nonlinear algebraic equations
                                  with unique solution . . . . . . . . . . 367--376
                   Caifang Wang   A parallel strategy and performance
                                  analysis of the EM-like reconstruction
                                  method for diffuse optical tomography    377--391
          Roberto Cavoretto and   
       Gregory E. Fasshauer and   
                Michael McCourt   An introduction to the Hilbert--Schmidt
                                  SVD using iterated Brownian bridge
                                  kernels  . . . . . . . . . . . . . . . . 393--422
       S. Mohammed Hosseini and   
                 Samira Smaeili   Numerical integration of
                                  multi-dimensional highly oscillatory
                                  integrals, based on eRPIM  . . . . . . . 423--442

Numerical Algorithms
Volume 68, Number 3, March, 2015

                    S. Shen and   
                     F. Liu and   
                     Q. Liu and   
                         V. Anh   Numerical simulation of anomalous
                                  infiltration in porous media . . . . . . 443--454
                      Quan Shen   A posteriori error estimates of the
                                  Morley element for the fourth order
                                  elliptic eigenvalue problem  . . . . . . 455--466
                     Chengbo Lu   Some results on certain generalized
                                  circulant matrices . . . . . . . . . . . 467--479
        Saman Babaie-Kafaki and   
                  Reza Ghanbari   A hybridization of the
                                  Polak--Ribi\`ere--Polyak and
                                  Fletcher--Reeves conjugate gradient
                                  methods  . . . . . . . . . . . . . . . . 481--495
              T. M. Dunster and   
                     A. Gil and   
                  J. Segura and   
                    N. M. Temme   Computation of a numerically
                                  satisfactory pair of solutions of the
                                  differential equation for conical
                                  functions of non-negative integer orders 497--509
             S. A. Hosseini and   
               S. Shahmorad and   
                      F. Talati   A matrix based method for two
                                  dimensional nonlinear Volterra--Fredholm
                                  integral equations . . . . . . . . . . . 511--529
                   L. Dykes and   
                S. Noschese and   
                     L. Reichel   Rescaling the GSVD with application to
                                  ill-posed problems . . . . . . . . . . . 531--545
               Alfredo Cano and   
                  Carlos Moreno   A new method for numerical integration
                                  of singular functions on the plane . . . 547--568
                Xiuhua Wang and   
                    Jisheng Kou   Convergence for a class of multi-point
                                  modified Chebyshev--Halley methods under
                                  the relaxed conditions . . . . . . . . . 569--583
           Aleksandr Cariow and   
        Dorota Majorkowska-Mech   Fast algorithm for discrete fractional
                                  Hadamard transform . . . . . . . . . . . 585--600
                 M. Parvizi and   
             M. R. Eslahchi and   
                  Mehdi Dehghan   Numerical solution of fractional
                                  advection--diffusion equation with a
                                  nonlinear source term  . . . . . . . . . 601--629
                 Jian-Jun Zhang   MSSOR-based alternating direction method
                                  for symmetric positive-definite linear
                                  complementarity problems . . . . . . . . 631--644

Numerical Algorithms
Volume 68, Number 4, April, 2015

                  Josip Matejas   Accuracy of one step of the
                                  Falk--Langemeyer method  . . . . . . . . 645--670
                Shuai Huang and   
                  Zhong Wan and   
                  Xiaohong Chen   A new nonmonotone line search technique
                                  for unconstrained optimization . . . . . 671--689
      Sebastian Schmutzhard and   
              Tomasz Hrycak and   
            Hans G. Feichtinger   A numerical study of the
                                  Legendre--Galerkin method for the
                                  evaluation of the prolate spheroidal
                                  wave functions . . . . . . . . . . . . . 691--710
            Natasa Kreji\'c and   
       Natasa Krklec Jerinki\'c   Nonmonotone line search methods with
                                  variable sample size . . . . . . . . . . 711--739
            Somayyeh Fazeli and   
             Gholamreza Hojjati   Numerical solution of Volterra
                                  integro-differential equations by
                                  superimplicit multistep collocation
                                  methods  . . . . . . . . . . . . . . . . 741--768
               M. Garshasbi and   
                     H. Dastour   Estimation of unknown boundary functions
                                  in an inverse heat conduction problem
                                  using a mollified marching scheme  . . . 769--790
               Silvana Ilie and   
         Kenneth R. Jackson and   
               Wayne H. Enright   Adaptive time-stepping for the strong
                                  numerical solution of stochastic
                                  differential equations . . . . . . . . . 791--812
                Carlo Janna and   
         Nicola Castelletto and   
         Massimiliano Ferronato   The effect of graph partitioning
                                  techniques on parallel Block FSAI
                                  preconditioning: a computational study   813--836
                 Tong Zhang and   
                   Xin Zhao and   
                 Pengzhan Huang   Decoupled two level finite element
                                  methods for the steady natural
                                  convection problem . . . . . . . . . . . 837--866
               Fabien Courreges   Design of a discrete algebraic robust
                                  differentiation FIR filter using an
                                  annihilator of the $Z$-transform;
                                  frequency response analysis and
                                  parameter tuning . . . . . . . . . . . . 867--901
                  Juan Geng and   
              Laisheng Wang and   
                    Yanfei Wang   A non-convex algorithm framework based
                                  on DC programming and DCA for matrix
                                  completion . . . . . . . . . . . . . . . 903--921
                      Bo Yu and   
              Xiaoyun Jiang and   
                    Huanying Xu   A novel compact numerical method for
                                  solving the two-dimensional non-linear
                                  fractional reaction-subdiffusion
                                  equation . . . . . . . . . . . . . . . . 923--950


Numerical Algorithms
Volume 69, Number 1, May, 2015

              Zhongxiao Jia and   
                         Hui Lv   A posteriori error estimates of Krylov
                                  subspace approximations to matrix
                                  functions  . . . . . . . . . . . . . . . 1--28
                 B. Akhtari and   
                E. Babolian and   
             A. Foroush Bastani   An adaptive weak continuous
                                  Euler--Maruyama method for stochastic
                                  delay differential equations . . . . . . 29--57
                    Dali Xu and   
                 Jifeng Cui and   
                Shijun Liao and   
                     A. Alsaedi   A HAM-based analytic approach for
                                  physical models with an infinite number
                                  of singularities . . . . . . . . . . . . 59--74
        Francesc Ar\`andiga and   
                  Pep Mulet and   
                   Vicent Renau   Cell average image transform algorithms
                                  with exact error control . . . . . . . . 75--93
      H. A. Jafari-Varzaneh and   
                 S. M. Hosseini   A new map for the Chebyshev
                                  pseudospectral solution of differential
                                  equations with large gradients . . . . . 95--108
           Martin J. Gander and   
                 Olivier Dubois   Optimized Schwarz methods for a
                                  diffusion problem with discontinuous
                                  coefficient  . . . . . . . . . . . . . . 109--144
            Constantin Popa and   
             Tobias Preclik and   
               Ulrich Rüde   Regularized solution of LCP problems
                                  with application to rigid body dynamics  145--156
              Tahereh Eftekhari   A new proof of interval extension of the
                                  classic Ostrowski's method and its
                                  modified method for computing the
                                  enclosure solutions of nonlinear
                                  equations  . . . . . . . . . . . . . . . 157--165
              Tahereh Eftekhari   Erratum to: ``A new proof of interval
                                  extension of the classic Ostrowski's
                                  method and its modified method for
                                  computing the enclosure solutions of
                                  nonlinear equations'' by Tahereh
                                  Eftekhari  . . . . . . . . . . . . . . . 167--167
             Evgenija D. Popova   On the unbounded parametric tolerable
                                  solution set . . . . . . . . . . . . . . 169--182
         Tomás Dzetkulic   Rigorous integration of non-linear
                                  ordinary differential equations in
                                  Chebyshev basis  . . . . . . . . . . . . 183--205
 Hossein Noormohammadi Pour and   
       Hossein Sadeghi Goughery   New Hermitian and skew-Hermitian
                                  splitting methods for non-Hermitian
                                  positive-definite linear systems . . . . 207--225
                       Yuan Lei   The inexact fixed matrix iteration for
                                  solving large linear inequalities in a
                                  least squares sense  . . . . . . . . . . 227--251

Numerical Algorithms
Volume 69, Number 2, June, 2015

              Fredrik Johansson   Rigorous high-precision computation of
                                  the Hurwitz zeta function and its
                                  derivatives  . . . . . . . . . . . . . . 253--270
                  Sergio Blanes   High order structure preserving explicit
                                  methods for solving linear-quadratic
                                  optimal control problems . . . . . . . . 271--290
              John T. Betts and   
        Stephen L. Campbell and   
             Karmethia Thompson   Lobatto IIIA methods, direct
                                  transcription, and DAEs with delays  . . 291--300
            Iman H. Ibrahim and   
                Fatma M. Yousry   Hybrid special class for solving
                                  differential-algebraic equations . . . . 301--320
               Jingjun Zhao and   
                    Yang Xu and   
                   Xindi Li and   
                        Yan Fan   Delay-dependent stability of symmetric
                                  boundary value methods for second order
                                  delay differential equations with three
                                  parameters . . . . . . . . . . . . . . . 321--336
                Zhifeng Dai and   
                    Fenghua Wen   Comments on another hybrid conjugate
                                  gradient algorithm for unconstrained
                                  optimization by Andrei . . . . . . . . . 337--341
               Shaohua Chen and   
                  Lauren DeDieu   A simple moving mesh method for blowup
                                  problems . . . . . . . . . . . . . . . . 343--356
                   Takashi Goda   Fast construction of higher order
                                  digital nets for numerical integration
                                  in weighted Sobolev spaces . . . . . . . 357--396
              Thanh Hieu Le and   
                 Marc Van Barel   An algorithm for decomposing a
                                  non-negative polynomial as a sum of
                                  squares of rational functions  . . . . . 397--413
     Bryan Michael Williams and   
                    Ke Chen and   
               Simon P. Harding   A new constrained total variational
                                  deblurring model and its fast algorithm  415--441
         A. Galántai and   
                      J. Abaffy   Always convergent iteration methods for
                                  nonlinear equations of Lipschitz
                                  functions  . . . . . . . . . . . . . . . 443--453
            Martin H. Gutknecht   Revisiting $ (k, l)$-step methods  . . . 455--469
                 B. Akhtari and   
                E. Babolian and   
             A. Foroush Bastani   Erratum to: An adaptive weak continuous
                                  Euler--Maruyama method for stochastic
                                  delay differential equations . . . . . . 471--472

Numerical Algorithms
Volume 69, Number 3, July, 2015

             Kirk M. Soodhalter   A block MINRES algorithm based on the
                                  band Lanczos method  . . . . . . . . . . 473--494
                   Le Jiang and   
                  Jin Huang and   
              Xiao-Guang Lv and   
                        Jun Liu   Alternating direction method for the
                                  high-order total variation-based Poisson
                                  noise removal problem  . . . . . . . . . 495--516
                    Mircea Ivan   A note on the Hermite interpolation  . . 517--522
Dragomir \vZ. \Dbarokovi\'c and   
             Ilias S. Kotsireas   Some new periodic Golay pairs  . . . . . 523--530
               Sadegh Amiri and   
           S. Mohammad Hosseini   A class of balanced stochastic
                                  Runge--Kutta methods for stiff SDE
                                  systems  . . . . . . . . . . . . . . . . 531--552
             Hong-Xiu Zhong and   
             Guo-Liang Chen and   
                   Xue-Ping Guo   On preconditioned modified Newton--MHSS
                                  method for systems of nonlinear
                                  equations with complex symmetric
                                  Jacobian matrices  . . . . . . . . . . . 553--567
            Fazlollah Soleymani   An efficient and stable Newton-type
                                  iterative method for computing
                                  generalized inverse $ A_{T, S}^{(2)} $   569--578
                 Ai-Li Yang and   
                    Yan Dou and   
                Yu-Jiang Wu and   
                          Xu Li   On generalized parameterized inexact
                                  Uzawa methods for singular saddle-point
                                  problems . . . . . . . . . . . . . . . . 579--593
          Cristinel Mortici and   
             Hari M. Srivastava   A product approximation of the gamma
                                  function . . . . . . . . . . . . . . . . 595--610
           Iván Area and   
        Dimitar K. Dimitrov and   
              Eduardo Godoy and   
                Vanessa Paschoa   Bounds for the zeros of symmetric
                                  Kravchuk polynomials . . . . . . . . . . 611--624
                Pengde Wang and   
                Chengming Huang   A conservative linearized difference
                                  scheme for the nonlinear fractional
                                  Schrödinger equation  . . . . . . . . . . 625--641
                  A. Tocino and   
                M. J. Senosiain   Two-step Milstein schemes for stochastic
                                  differential equations . . . . . . . . . 643--665

Numerical Algorithms
Volume 69, Number 4, August, 2015

Diana Estévez Schwarz and   
             René Lamour   Diagnosis of singular points of
                                  structured DAEs using automatic
                                  differentiation  . . . . . . . . . . . . 667--691
        Vittoria Demichelis and   
                 Matteo Sciarra   Martensen splines and finite-part
                                  integrals  . . . . . . . . . . . . . . . 693--712
                     Jia Wu and   
                Liwei Zhang and   
                       Yi Zhang   An inexact Newton method for stationary
                                  points of mathematical programs
                                  constrained by parameterized
                                  quasi-variational inequalities . . . . . 713--735
                 Neil Greer and   
        Sébastien Loisel   The optimised Schwarz method and the
                                  two-Lagrange multiplier method for
                                  heterogeneous problems in general
                                  domains with two general subdomains  . . 737--762
                   Xiaojing Zhu   A feasible filter method for the nearest
                                  low-rank correlation matrix problem  . . 763--784
        Alicja Smoktunowicz and   
         Agata Smoktunowicz and   
                    Ewa Pawelec   The three-term recursion for Chebyshev
                                  polynomials is mixed forward-backward
                                  stable . . . . . . . . . . . . . . . . . 785--794
               Jincheng Ren and   
                  Guang-hua Gao   Efficient and stable numerical methods
                                  for the two-dimensional fractional
                                  Cattaneo equation  . . . . . . . . . . . 795--818
                Yakui Huang and   
                    Hongwei Liu   A Barzilai--Borwein type method for
                                  minimizing composite functions . . . . . 819--838
                   Y. Zhang and   
                   X. B. Hu and   
                      H. W. Tam   Integrable discretization of nonlinear
                                  Schrödinger equation and its application
                                  with Fourier pseudo-spectral method  . . 839--862
                Yakui Huang and   
                Hongwei Liu and   
                    Weijie Cong   A note on the smoothing quadratic
                                  regularization method for non-Lipschitz
                                  optimization . . . . . . . . . . . . . . 863--874
                    Ling Lu and   
                     Wei Xu and   
                  Sanzheng Qiao   A fast SVD for multilevel block Hankel
                                  matrices with minimal memory storage . . 875--891
           Takumi Yamashita and   
               Kinji Kimura and   
                Yusaku Yamamoto   A new subtraction-free formula for lower
                                  bounds of the minimal singular value of
                                  an upper bidiagonal matrix . . . . . . . 893--912
               Fabien Courreges   Erratum to: Design of a discrete
                                  algebraic robust differentiation FIR
                                  filter using an annihilator of the
                                  $Z$-transform; frequency response
                                  analysis and parameter tuning  . . . . . 913--913


Numerical Algorithms
Volume 70, Number 1, September, 2015

  Erwin Miña-Díaz   On the leading coefficient of
                                  polynomials orthogonal over domains with
                                  corners  . . . . . . . . . . . . . . . . 1--8
                Dominique Orban   Limited-memory LDL$^T$ factorization of
                                  symmetric quasi-definite matrices with
                                  application to constrained optimization  9--41
                  U. Farooq and   
                   T. Hayat and   
                 A. Alsaedi and   
                     S. J. Liao   Series solutions of non-similarity
                                  boundary layer flows of nano-fluids over
                                  stretching surfaces  . . . . . . . . . . 43--59
          Winfried Auzinger and   
                Othmar Koch and   
           Mechthild Thalhammer   Defect-based local error estimators for
                                  high-order splitting methods involving
                                  three linear operators . . . . . . . . . 61--91
                    Wei Liu and   
                    Zhe Yin and   
                         Jin Li   A two-grid algorithm based on expanded
                                  mixed element discretizations for
                                  strongly nonlinear elliptic equations    93--111
              Zhengda Huang and   
                   Xiaoyan Zhou   On the minimum convergence factor of a
                                  class of GSOR-like methods for augmented
                                  systems  . . . . . . . . . . . . . . . . 113--132
                    S. N. Jator   Implicit third derivative
                                  Runge--Kutta--Nyström method with
                                  trigonometric coefficients . . . . . . . 133--150
           Zhao-Zheng Liang and   
                 Guo-Feng Zhang   Semi-convergence analysis of the GPIU
                                  method for singular nonsymmetric
                                  saddle-point problems  . . . . . . . . . 151--169
       Tatiana Chernogorova and   
             Lubin Lubin Vulkov   Fitted finite volume positive difference
                                  scheme for a stationary model of air
                                  pollution  . . . . . . . . . . . . . . . 171--189
              Yvonne Percan and   
            Stefan Zellmann and   
                    Ulrich Lang   Asymptotic error of cubic B-spline
                                  interpolation using prefiltering . . . . 191--203
           Javad Abdalkhani and   
                    David Levin   On the choice of $ \beta $ in the
                                  $u$-transformation for convergence
                                  acceleration . . . . . . . . . . . . . . 205--213
                Walter Gautschi   Polynomials orthogonal with respect to
                                  exponential integrals  . . . . . . . . . 215--226

Numerical Algorithms
Volume 70, Number 2, October, 2015

           John Haussermann and   
           Robert A. Van Gorder   Efficient low-error analytical-numerical
                                  approximations for radial solutions of
                                  nonlinear Laplace equations  . . . . . . 227--248
                Saman Ghili and   
             Gianluca Iaccarino   Reusing Chebyshev points for polynomial
                                  interpolation  . . . . . . . . . . . . . 249--267
                    Hao Liu and   
                Haijun Wang and   
               Xiaoyan Qian and   
                       Feng Rao   A conjugate gradient method with
                                  sufficient descent property  . . . . . . 269--286
                  Edvin Deadman   Estimating the condition number of $
                                  f(A)b $  . . . . . . . . . . . . . . . . 287--308
                     Zhe Li and   
                   Haifeng Sang   Verified error bounds for singular
                                  solutions of nonlinear systems . . . . . 309--331
                Haiyun Zhou and   
                   Peiyuan Wang   Some remarks on the paper ``Strong
                                  convergence of a self-adaptive method
                                  for the split feasibility problem''  . . 333--339
              Tingting Chen and   
                     Wen Li and   
                Xianping Wu and   
                  Seakweng Vong   Error bounds for linear complementarity
                                  problems of $ M B $-matrices . . . . . . 341--356
              Xiaofeng Wang and   
                      Tie Zhang   Efficient $n$-point iterative methods
                                  with memory for solving nonlinear
                                  equations  . . . . . . . . . . . . . . . 357--375
M. A. Hernández-Verón and   
        Eulalia Martínez   On the semilocal convergence of a three
                                  steps Newton-type iterative process
                                  under mild convergence conditions  . . . 377--392
            Mohamed Achache and   
                Moufida Goutali   Complexity analysis and numerical
                                  implementation of a full-Newton step
                                  interior-point algorithm for LCCO  . . . 393--405
     S. A. Shahzadeh Fazeli and   
                 Nahid Emad and   
                      Zifan Liu   A key to choose subspace size in
                                  implicitly restarted Arnoldi method  . . 407--426
    François Alouges and   
                Matthieu Aussal   The sparse cardinal sine decomposition
                                  and its application for fast numerical
                                  convolution  . . . . . . . . . . . . . . 427--448
                Zhifeng Dai and   
                    Fenghua Wen   Erratum to: ``Comments on another hybrid
                                  conjugate gradient algorithm for
                                  unconstrained optimization by Andrei''   449--450

Numerical Algorithms
Volume 70, Number 3, November, 2015

                        Bin Fan   A hybrid iterative method with averaged
                                  mappings for hierarchical fixed point
                                  problems and variational inequalities    451--467
               Kanae Akaiwa and   
         Yoshimasa Nakamura and   
                Masashi Iwasaki   A finite-step construction of totally
                                  nonnegative matrices with specified
                                  eigenvalues  . . . . . . . . . . . . . . 469--484
             Markus Hegland and   
                  Paul Leopardi   Sparse grid quadrature on products of
                                  spheres  . . . . . . . . . . . . . . . . 485--517
             Galina Filipuk and   
            Maciej Haneczok and   
              Walter Van Assche   Computing recurrence coefficients of
                                  multiple orthogonal polynomials  . . . . 519--543
              Xiaofeng Wang and   
                  Tie Zhang and   
                 Weiyi Qian and   
                   Mingyan Teng   Seventh-order derivative-free iterative
                                  method for solving nonlinear systems . . 545--558
               Keyvan Amini and   
                  Ahmad Kamandi   A new line search strategy for finding
                                  separating hyperplane in
                                  projection-based methods . . . . . . . . 559--570
             J. A. Ezquerro and   
     M. Grau-Sánchez and   
M. A. Hernández-Verón and   
                     M. Noguera   A family of iterative methods that uses
                                  divided differences of first and second
                                  orders . . . . . . . . . . . . . . . . . 571--589
              R. K. Mohanty and   
               Weizhong Dai and   
                        Don Liu   Operator compact method of accuracy two
                                  in time and four in space for the
                                  solution of time dependent
                                  Burgers--Huxley equation . . . . . . . . 591--605
                  J. C. Butcher   The cohesiveness of $G$-symplectic
                                  methods  . . . . . . . . . . . . . . . . 607--624
                 Yuan-Ming Wang   A compact finite difference method for a
                                  class of time fractional
                                  convection-diffusion-wave equations with
                                  variable coefficients  . . . . . . . . . 625--651
              Stef Graillat and   
          Vincent Lef\`evre and   
             Jean-Michel Muller   On the maximum relative error when
                                  computing integer powers by iterated
                                  multiplications in floating-point
                                  arithmetic . . . . . . . . . . . . . . . 653--667
                    Qin Gao and   
              Zhengda Huang and   
                Xiaoliang Cheng   A finite difference method for an
                                  inverse Sturm--Liouville problem in
                                  impedance form . . . . . . . . . . . . . 669--690

Numerical Algorithms
Volume 70, Number 4, December, 2015

               Runchang Lin and   
                  Martin Stynes   A balanced finite element method for a
                                  system of singularly perturbed
                                  reaction-diffusion two-point boundary
                                  value problems . . . . . . . . . . . . . 691--707
           Andrew J. Wathen and   
                   Shengxin Zhu   On spectral distribution of kernel
                                  matrices related to radial basis
                                  functions  . . . . . . . . . . . . . . . 709--726
           Bernard Bialecki and   
                 Lyndsey Wright   A fast direct solver for a fourth order
                                  finite difference scheme for Poisson's
                                  equation on the unit disc in polar
                                  coordinates  . . . . . . . . . . . . . . 727--751
                 Josef Dick and   
              Peter Kritzer and   
              Gunther Leobacher   Numerical integration in log-Korobov and
                                  log-cosine spaces  . . . . . . . . . . . 753--775
Diana Estévez Schwarz and   
             René Lamour   Diagnosis of singular points of properly
                                  stated DAEs using automatic
                                  differentiation  . . . . . . . . . . . . 777--805
       Dalibor Lukás and   
          Petr Kovár and   
Tereza Kovárová and   
                   Michal Merta   A parallel fast boundary element method
                                  using cyclic graph decompositions  . . . 807--824
                   Dawei Lu and   
                      Congxu Ma   Some new quicker continued fraction
                                  approximations for the gamma function
                                  related to the Nemes' formula  . . . . . 825--833
                Taher Lotfi and   
        Fazlollah Soleymani and   
          Mohammad Ghorbanzadeh   On the construction of some
                                  tri-parametric iterative methods with
                                  memory . . . . . . . . . . . . . . . . . 835--845
             Alexey Chernov and   
     Tobias von Petersdorff and   
               Christoph Schwab   Quadrature algorithms for high
                                  dimensional singular integrands on
                                  simplices  . . . . . . . . . . . . . . . 847--874
              Jianhua Zhang and   
                        Hua Dai   A new quasi-minimal residual method
                                  based on a biconjugate
                                  $A$-orthonormalization procedure and
                                  coupled two-term recurrences . . . . . . 875--896
               Zhaoxia Chen and   
                   Zeyu Qiu and   
                    Juan Li and   
                      Xiong You   Two-derivative Runge--Kutta-Nyström
                                  methods for second-order ordinary
                                  differential equations . . . . . . . . . 897--927
        Bartlomiej Jacek Kubica   Presentation of a highly tuned
                                  multithreaded interval solver for
                                  underdetermined and well-determined
                                  nonlinear systems  . . . . . . . . . . . 929--963


Numerical Algorithms
Volume 71, Number 1, January, 2016

         Ioannis K. Argyros and   
Á. Alberto Magreñán   A study on the local convergence and the
                                  dynamics of Chebyshev--Halley-type
                                  methods free from second derivative  . . 1--23
             Mozhgan Bagherboum   Approximating fixed points of mappings
                                  satisfying 1 condition ($E$) in Busemann
                                  space  . . . . . . . . . . . . . . . . . 25--39
       Zvonimir Bujanovi\'c and   
                Daniel Kressner   A block algorithm for computing
                                  antitriangular factorizations of
                                  symmetric matrices . . . . . . . . . . . 41--57
               Jaechoul Lee and   
               Anthony Dini and   
                  William Negri   An efficient generalized least squares
                                  algorithm for periodic trended
                                  regression with autoregressive errors    59--75
       Ljiljana Cvetkovi\'c and   
          Vladimir Kosti\'c and   
                   Ernest Sanca   A wider convergence area for the MSTMAOR
                                  iteration methods for LCP  . . . . . . . 77--88
             Ali R. Soheili and   
            Fazlollah Soleymani   Iterative methods for nonlinear systems
                                  associated with finite difference
                                  approach in stochastic differential
                                  equations  . . . . . . . . . . . . . . . 89--102
              Akira Imakura and   
                     Lei Du and   
                Tetsuya Sakurai   Error bounds of Rayleigh--Ritz type
                                  contour integral-based eigensolver for
                                  solving generalized eigenvalue problems  103--120
   Przemys\law Gospodarczyk and   
      Stanis\law Lewanowicz and   
                  Pawel Wo\'zny   $ G^{k, l}$-constrained multi-degree
                                  reduction of Bézier curves  . . . . . . . 121--137
                Sunil Kumar and   
                   Mukesh Kumar   Analysis of some numerical methods on
                                  layer adapted meshes for singularly
                                  perturbed quasilinear systems  . . . . . 139--150
               A. H. Bhrawy and   
                 M. A. Zaky and   
               R. A. Van Gorder   A space--time Legendre spectral tau
                                  method for the two-sided space--time
                                  Caputo fractional diffusion-wave
                                  equation . . . . . . . . . . . . . . . . 151--180
        Paola F. Antonietti and   
              Carlo Marcati and   
                Ilario Mazzieri   High order discontinuous Galerkin
                                  methods on simplicial elements for the
                                  elastodynamics equation  . . . . . . . . 181--206
            Santos B. Yuste and   
            J. Quintana-Murillo   Fast, accurate and robust adaptive
                                  finite difference methods for fractional
                                  diffusion equations  . . . . . . . . . . 207--228
            Daniel J. Bates and   
           Andrew J. Newell and   
                Matthew Niemerg   BertiniLab: A MATLAB interface for
                                  solving systems of polynomial equations  229--244

Numerical Algorithms
Volume 71, Number 2, February, 2016

              Hung-Yuan Fan and   
        Peter Chang-Yi Weng and   
              Eric King-Wah Chu   Numerical solution to generalized
                                  Lyapunov/Stein and rational Riccati
                                  equations in stochastic control  . . . . 245--272
            Claudia Fassino and   
       Hans Michael Möller   Multivariate polynomial interpolation
                                  with perturbed data  . . . . . . . . . . 273--292
               Dajana Conte and   
        Raffaele D'Ambrosio and   
           Beatrice Paternoster   GPU-acceleration of waveform relaxation
                                  methods for large differential systems   293--310
                Brian C. Fabien   Parallel collocation solution of index-1
                                  BVP--DAEs arising from constrained
                                  optimal control problems . . . . . . . . 311--335
                Ji-Teng Jia and   
                      Su-Mei Li   Numerical algorithm for the determinant
                                  evaluation of cyclic pentadiagonal
                                  matrices with Toeplitz structure . . . . 337--348
Luis Javier Hernández Paricio   Bivariate Newton--Raphson method and
                                  toroidal attraction basins . . . . . . . 349--381
   Sébastien Duminil and   
           Mohammed Heyouni and   
            Philippe Marion and   
                  Hassane Sadok   Algorithms for the CMRH method for dense
                                  linear systems . . . . . . . . . . . . . 383--394
                 Haifeng Ji and   
                 Jinru Chen and   
                      Zhilin Li   A new augmented immersed finite element
                                  method without using SVD interpolations  395--416
                Zhongdi Cen and   
                   Aimin Xu and   
                        Anbo Le   On the hybrid finite difference scheme
                                  for a singularly perturbed Riccati
                                  equation . . . . . . . . . . . . . . . . 417--436
                 Wenjie Liu and   
                 Jiebao Sun and   
                      Boying Wu   Galerkin--Chebyshev spectral method and
                                  block boundary value methods for
                                  two-dimensional semilinear parabolic
                                  equations  . . . . . . . . . . . . . . . 437--455
      Miodrag S. Petkovi\'c and   
               Janak Raj Sharma   On some efficient derivative-free
                                  iterative methods with memory for
                                  solving systems of nonlinear equations   457--474
               Ali Ozyapici and   
           Bülent Bilgehan   Finite product representation via
                                  multiplicative calculus and its
                                  applications to exponential signal
                                  processing . . . . . . . . . . . . . . . 475--489

Numerical Algorithms
Volume 71, Number 3, March, 2016

               Behrouz Kheirfam   An improved full-Newton step $ O(n) $
                                  infeasible interior-point method for
                                  horizontal linear complementarity
                                  problem  . . . . . . . . . . . . . . . . 491--503
         Boles\law Kacewicz and   
             Pawel Przybylowicz   On the optimal robust solution of IVPs
                                  with noisy information . . . . . . . . . 505--518
              Radu Ioan Bot and   
       Ernö Robert Csetnek   An inertial forward-backward-forward
                                  primal-dual splitting algorithm for
                                  solving monotone inclusion problems  . . 519--540
                  Pei-Chang Guo   A modified large-scale
                                  structure-preserving doubling algorithm
                                  for a large-scale Riccati equation from
                                  transport theory . . . . . . . . . . . . 541--552
                Ulrich Abel and   
              Octavian Agratini   Asymptotic behaviour of Jain operators   553--565
                Xiuhua Wang and   
                    Jisheng Kou   Semilocal convergence of multi-point
                                  improved super-Halley-type methods
                                  without the second derivative under
                                  generalized weak condition . . . . . . . 567--584
            Kamen G. Ivanov and   
            Pencho P. Petrushev   Highly effective stable evaluation of
                                  bandlimited functions on the sphere  . . 585--611
                Chaoqian Li and   
                    Hui Pei and   
                  Aning Gao and   
                     Yaotang Li   Improvements on the infinity norm bound
                                  for the inverse of Nekrasov matrices . . 613--630
               Fayyaz Ahmad and   
               Emran Tohidi and   
               Juan A. Carrasco   A parameterized multi-step Newton method
                                  for solving systems of nonlinear
                                  equations  . . . . . . . . . . . . . . . 631--653
           Zhao-Zheng Liang and   
                 Guo-Feng Zhang   On SSOR iteration method for a class of
                                  block two-by-two linear systems  . . . . 655--671
         Folkert Bleichrodt and   
        Tristan van Leeuwen and   
          Willem Jan Palenstijn   Easy implementation of advanced
                                  tomography algorithms using the ASTRA
                                  toolbox with Spot operators  . . . . . . 673--697
                K. Castillo and   
        F. Marcellán and   
                  M. N. Rebocho   Zeros of para-orthogonal polynomials and
                                  linear spectral transformations on the
                                  unit circle  . . . . . . . . . . . . . . 699--714

Numerical Algorithms
Volume 71, Number 4, April, 2016

                    Li Ming and   
              Li Chen-liang and   
             Cui Xiang-zhao and   
                     Zhao Jin-e   Cascadic multigrid methods combined with
                                  sixth order compact scheme for Poisson
                                  equation . . . . . . . . . . . . . . . . 715--727
                    S. Amat and   
                J. Liandrat and   
                    J. Ruiz and   
                   J. C. Trillo   On a nonlinear mean and its application
                                  to image compression using
                                  multiresolution schemes  . . . . . . . . 729--752
                    Ke Wang and   
                Jingjing Di and   
                        Don Liu   Improved PHSS iterative methods for
                                  solving saddle point problems  . . . . . 753--773
             Ramandeep Behl and   
             Alicia Cordero and   
               Sandile S. Motsa   An optimal fourth-order family of
                                  methods for multiple roots and its
                                  dynamics . . . . . . . . . . . . . . . . 775--796
             E. M. Ferreira and   
                       J. Sesma   Global solutions of the biconfluent Heun
                                  equation . . . . . . . . . . . . . . . . 797--809
Ángel Alberto Magreñán and   
             Ioannis K. Argyros   Improved convergence analysis for
                                  Newton-like methods  . . . . . . . . . . 811--826
                Saeed Kazem and   
            Edmund Chadwick and   
                  Ali Hatam and   
                  Mehdi Dehghan   Using generating functions to convert an
                                  implicit $ (3, 3) $ finite difference
                                  method to an explicit form on diffusion
                                  equation with different boundary
                                  conditions . . . . . . . . . . . . . . . 827--854
               Truong Nguyen-Ba   On variable step Hermite--Birkhoff
                                  solvers combining multistep and
                                  $4$-stage DIRK methods for stiff ODEs    855--888
             Gerlind Plonka and   
            Katrin Wannenwetsch   A deterministic sparse FFT algorithm for
                                  vectors with small support . . . . . . . 889--905
            Nasser Akhoundi and   
                Iman Alimirzaei   Modify Levinson algorithm for symmetric
                                  positive definite Toeplitz system  . . . 907--913
              Prasit Cholamjiak   A generalized forward-backward splitting
                                  method for solving quasi inclusion
                                  problems in Banach spaces  . . . . . . . 915--932
                  J. P. Jaiswal   Semilocal convergence of an eighth-order
                                  method in Banach spaces and its
                                  computational efficiency . . . . . . . . 933--951


Numerical Algorithms
Volume 72, Number 1, May, 2016

          Winfried Auzinger and   
         Thomas Kassebacher and   
                Othmar Koch and   
           Mechthild Thalhammer   Adaptive splitting methods for nonlinear
                                  Schrödinger equations in the
                                  semiclassical regime . . . . . . . . . . 1--35
                 Zhenhua Xu and   
                 Shuhuang Xiang   On the evaluation of highly oscillatory
                                  finite Hankel transform using special
                                  functions  . . . . . . . . . . . . . . . 37--56
            Rohollah Yousefpour   Combination of steepest descent and BFGS
                                  methods for nonconvex nonsmooth
                                  optimization . . . . . . . . . . . . . . 57--90
                Wenhui Meng and   
                  Liantang Wang   Bounds for truncation errors of Graf's
                                  and Neumann's addition theorems  . . . . 91--106
                 C. S. Chen and   
            A. Karageorghis and   
                         Yan Li   On choosing the location of the sources
                                  in the MFS . . . . . . . . . . . . . . . 107--130
 André Pierro de Camargo   On the numerical stability of
                                  Floater--Hormann's rational interpolant  131--152
 André Pierro de Camargo   Erratum: ``On the numerical stability of
                                  Floater--Hormann's rational
                                  interpolant''  . . . . . . . . . . . . . 153--154
                    Y. Asai and   
                  P. E. Kloeden   Numerical schemes for random ODEs with
                                  affine noise . . . . . . . . . . . . . . 155--171
                 XiaoLiang Dong   Comment on ``A new three-term conjugate
                                  gradient method for unconstrained
                                  problem''  . . . . . . . . . . . . . . . 173--179
                    Qiu Lin and   
                    Ruisheng Qi   Stancu type generalization of the
                                  $q$-Phillips operators . . . . . . . . . 181--193
              Seakweng Vong and   
                    Pin Lyu and   
                    Xu Chen and   
                   Siu-Long Lei   High order finite difference method for
                                  time-space fractional differential
                                  equations with Caputo and
                                  Riemann--Liouville derivatives . . . . . 195--210
           Negin Bagherpour and   
            Nezam Mahdavi-Amiri   A new error in variables model for
                                  solving positive definite linear system
                                  using orthogonal matrix decompositions   211--241
                 Ya-Jun Xie and   
                  Chang-Feng Ma   A modified positive-definite and
                                  skew-Hermitian splitting preconditioner
                                  for generalized saddle point problems
                                  from the Navier--Stokes equation . . . . 243--258

Numerical Algorithms
Volume 72, Number 2, June, 2016

                 Aiguo Xiao and   
                      Xiao Tang   High strong order stochastic
                                  Runge--Kutta methods for Stratonovich
                                  stochastic differential equations with
                                  scalar noise . . . . . . . . . . . . . . 259--296
               Simeon Reich and   
                    Rafal Zalas   A modular string averaging procedure for
                                  solving the common fixed point problem
                                  for quasi-nonexpansive mappings in
                                  Hilbert space  . . . . . . . . . . . . . 297--323
                    Yan Dou and   
                 Ai-Li Yang and   
                    Yu-Jiang Wu   Modified parameterized inexact Uzawa
                                  method for singular saddle-point
                                  problems . . . . . . . . . . . . . . . . 325--339
            Marco Donatelli and   
              Thomas Huckle and   
            Mariarosa Mazza and   
                  Debora Sesana   Image deblurring by sparsity constraint
                                  on the Fourier coefficients  . . . . . . 341--361
              Changbum Chun and   
                      Beny Neta   On the new family of optimal eighth
                                  order methods developed by Lotfi et al.  363--376
      M. L. N. Gonçalves   Inexact Gauss--Newton like methods for
                                  injective-overdetermined systems of
                                  equations under a majorant condition . . 377--392
                 Xiuling Hu and   
                     F. Liu and   
                  I. Turner and   
                         V. Anh   An implicit numerical method of a new
                                  time distributed-order and two-sided
                                  space-fractional advection-dispersion
                                  equation . . . . . . . . . . . . . . . . 393--407
                 H. J. Wang and   
                    F. Chen and   
                     H. Liu and   
                        Q. Wang   Incomplete Newton--Ulm method for large
                                  scale nonlinear equations  . . . . . . . 409--424
            Saman Babaie-Kafaki   A modified scaling parameter for the
                                  memoryless BFGS updating formula . . . . 425--433
   M. García-Esnaola and   
              J. M. Peña   $B$-Nekrasov matrices and error bounds
                                  for linear complementarity problems  . . 435--445
                  P. Zhuang and   
                     F. Liu and   
                  I. Turner and   
                         V. Anh   Galerkin finite element method and error
                                  analysis for the fractional cable
                                  equation . . . . . . . . . . . . . . . . 447--466
               Nguyen Buong and   
             Nguyen Song Ha and   
            Nguyen Thi Thu Thuy   A new explicit iteration method for a
                                  class of variational inequalities  . . . 467--481

Numerical Algorithms
Volume 72, Number 3, July, 2016

            Hamid Moghaderi and   
              Mehdi Dehghan and   
                Masoud Hajarian   A fast and efficient two-grid method for
                                  solving $d$-dimensional Poisson
                                  equations  . . . . . . . . . . . . . . . 483--537
             Vahid Morovati and   
           Latif Pourkarimi and   
                Hadi Basirzadeh   Barzilai and Borwein's method for
                                  multiobjective optimization problems . . 539--604
                Ron Goldman and   
                Plamen Simeonov   Novel polynomial Bernstein bases and
                                  Bézier curves based on a general notion
                                  of polynomial blossoming . . . . . . . . 605--634
            Mohamed Kamel Riahi   A new approach to improve
                                  ill-conditioned parabolic optimal
                                  control problem via time domain
                                  decomposition  . . . . . . . . . . . . . 635--666
               Minhong Chen and   
                Qingbiao Wu and   
                    Rongfei Lin   Semilocal convergence analysis for the
                                  modified Newton--HSS method under the
                                  Hölder condition  . . . . . . . . . . . . 667--685
                    Y. Chen and   
                Chang-Ming Chen   Numerical method with high order
                                  accuracy for solving a anomalous
                                  subdiffusion equation  . . . . . . . . . 687--703
                   Ping Yin and   
               Jacques Liandrat   A smooth fictitious
                                  domain/multiresolution method for
                                  elliptic equations on general domains    705--720
           Alfredo N. Iusem and   
   Joaquim J. Júdice and   
            Valentina Sessa and   
               Hanif D. Sherali   On the numerical solution of the
                                  quadratic eigenvalue complementarity
                                  problem  . . . . . . . . . . . . . . . . 721--747
                 L. B. Feng and   
                  P. Zhuang and   
                     F. Liu and   
                  I. Turner and   
                       Y. T. Gu   Finite element method for space-time
                                  fractional diffusion equation  . . . . . 749--767
               Peiyuan Wang and   
                Haiyun Zhou and   
                   Jianjun Zhou   A new convergence theorem of a
                                  projection algorithm with variable steps
                                  for variational inequalities . . . . . . 769--773
         Philipp H. W. Hoffmann   A Hitchhiker's Guide to Automatic
                                  Differentiation  . . . . . . . . . . . . 775--811
               Hong-tao Fan and   
                 Bing Zheng and   
                    Xin-yun Zhu   A relaxed positive semi-definite and
                                  skew-Hermitian splitting preconditioner
                                  for non-Hermitian generalized saddle
                                  point problems . . . . . . . . . . . . . 813--834

Numerical Algorithms
Volume 72, Number 4, August, 2016

                   Y. Shehu and   
               O. S. Iyiola and   
                     C. D. Enyi   An iterative algorithm for solving split
                                  feasibility problems and fixed point
                                  problems in Banach spaces  . . . . . . . 835--864
                   Dawei Lu and   
                 Lixin Song and   
                      Congxu Ma   A quicker continued fraction
                                  approximation of the gamma function
                                  related to the Windschitl's formula  . . 865--874
                    P. Mokhtary   Numerical treatment of a well-posed
                                  Chebyshev Tau method for Bagley--Torvik
                                  equation with high-order of accuracy . . 875--891
         Esmail Hesameddini and   
           Elham Asadollahifard   A new reliable algorithm based on the
                                  sinc function for the time fractional
                                  diffusion equation . . . . . . . . . . . 893--913
                 Ximei Yang and   
               Yinkui Zhang and   
                Hongwei Liu and   
                   Yonggang Pei   A Mizuno--Todd--Ye predictor--corrector
                                  infeasible-interior-point method for
                                  linear programming over symmetric cones  915--936
             Alicia Cordero and   
              Munish Kansal and   
               Vinay Kanwar and   
             Juan R. Torregrosa   A stable class of improved
                                  second-derivative free Chebyshev--Halley
                                  type methods with optimal eighth order
                                  convergence  . . . . . . . . . . . . . . 937--958
                K. Sayevand and   
                  M. R. Rostami   General fractional variational problem
                                  depending on indefinite integrals  . . . 959--987
                Shijun Liao and   
                   Yinlong Zhao   On the method of directly defining
                                  inverse mapping for nonlinear
                                  differential equations . . . . . . . . . 989--1020
         Nicholas J. Higham and   
             Nata\vsa Strabi\'c   Anderson acceleration of the alternating
                                  projections method for computing the
                                  nearest correlation matrix . . . . . . . 1021--1042
             Guangxin Huang and   
             Lothar Reichel and   
                       Feng Yin   On the choice of solution subspace for
                                  nonstationary iterated Tikhonov
                                  regularization . . . . . . . . . . . . . 1043--1063
            Zhang Xiao-yong and   
                     Li Jun-lin   Laguerre approximation with negative
                                  integer and its application for the
                                  delay differential equation  . . . . . . 1065--1087
              Higinio Ramos and   
             Z. Kalogiratou and   
            Th. Monovasilis and   
                    T. E. Simos   An optimized two-step hybrid block
                                  method for solving general second order
                                  initial-value problems . . . . . . . . . 1089--1102
                    Dongdong He   An unconditionally stable spatial
                                  sixth-order CCD--ADI method for the
                                  two-dimensional linear telegraph
                                  equation . . . . . . . . . . . . . . . . 1103--1117


Numerical Algorithms
Volume 73, Number 1, September, 2016

           Calin-Ioan Gheorghiu   Spectral collocation solutions to
                                  systems of boundary layer type . . . . . 1--14
                 Annie Cuyt and   
       Oliver Salazar Celis and   
              Maryna Lukach and   
               Karel in 't Hout   Analytic models for parameter dependency
                                  in option price modelling  . . . . . . . 15--31
          Heinz H. Bauschke and   
           J. Y. Bello Cruz and   
           Tran T. A. Nghia and   
                Hung M. Pha and   
                    Xianfu Wang   Optimal Rates of Linear Convergence of
                                  Relaxed Alternating Projections and
                                  Generalized Douglas--Rachford Methods
                                  for Two Subspaces  . . . . . . . . . . . 33--76
                  Zhen Chao and   
                 Guo-Liang Chen   A generalized modified HSS method for
                                  singular complex symmetric linear
                                  systems  . . . . . . . . . . . . . . . . 77--89
                   A. H. Bhrawy   A Jacobi spectral collocation method for
                                  solving multi-dimensional nonlinear
                                  fractional sub-diffusion equations . . . 91--113
                   Long Jin and   
                   Yunong Zhang   Continuous and discrete Zhang dynamics
                                  for real-time varying nonlinear
                                  optimization . . . . . . . . . . . . . . 115--140
             Beatriz Campos and   
             Alicia Cordero and   
         Juan R. Torregrosa and   
                    Pura Vindel   Orbits of period two in the family of a
                                  multipoint variant of Chebyshev--Halley
                                  family . . . . . . . . . . . . . . . . . 141--156
             Michael S. Floater   A generalized mean value property for
                                  polyharmonic functions . . . . . . . . . 157--165
           Martin J. Gander and   
           Laurence Halpern and   
        Véronique Martin   A new algorithm based on factorization
                                  for heterogeneous domain decomposition   167--195
              Dang Van Hieu and   
                Le Dung Muu and   
                    Pham Ky Anh   Parallel hybrid extragradient methods
                                  for pseudomonotone equilibrium problems
                                  and nonexpansive mappings  . . . . . . . 197--217
                     Aifan Ling   An inexact non-interior continuation
                                  method for semidefinite programming:
                                  convergence analysis and numerical
                                  results  . . . . . . . . . . . . . . . . 219--244
   Marzieh Dehghani-Madiseh and   
                  Mehdi Dehghan   Parametric AE-solution sets to the
                                  parametric linear systems with multiple
                                  right-hand sides and parametric matrix
                                  equation $ A(p) X = B(p) $ . . . . . . . 245--279
            Daniel J. Bates and   
     Jonathan D. Hauenstein and   
         Matthew E. Niemerg and   
                  Frank Sottile   Software for the Gale transform of
                                  fewnomial systems and a Descartes rule
                                  for fewnomials . . . . . . . . . . . . . 281--304

Numerical Algorithms
Volume 73, Number 2, October, 2016

                     S. Pishbin   Numerical solution and structural
                                  analysis of two-dimensional
                                  integral-algebraic equations . . . . . . 305--322
             Pawel Przybylowicz   Optimal global approximation of
                                  stochastic differential equations with
                                  additive Poisson noise . . . . . . . . . 323--348
         Nicholas J. Higham and   
                 Vanni Noferini   An algorithm to compute the polar
                                  decomposition of a $ 3 \times 3 $ matrix 349--369
           A. Movahedinejad and   
                 G. Hojjati and   
                        A. Abdi   Second derivative general linear methods
                                  with inherent Runge--Kutta stability . . 371--389
                Taher Lotfi and   
              Mehdi Rashidi and   
              Katauoun Mahdiani   A posteriori analysis: error estimation
                                  for the eighth order boundary value
                                  problems in reproducing Kernel space . . 391--406
Douglas S. Gonçalves and   
               Sandra A. Santos   Local analysis of a spectral correction
                                  for the Gauss--Newton model applied to
                                  quadratic residual problems  . . . . . . 407--431
               Yan Mei Chen and   
             Xiao Shan Chen and   
                         Wen Li   On perturbation bounds for orthogonal
                                  projections  . . . . . . . . . . . . . . 433--444
              Mehdi Dehghan and   
         Mostafa Abbaszadeh and   
                  Akbar Mohebbi   Analysis of a meshless method for the
                                  time fractional diffusion-wave equation  445--476
             Patrycja Jaros and   
         \Lukasz Ma\'slanka and   
                  Filip Strobin   Algorithms generating images of
                                  attractors of generalized iterated
                                  function systems . . . . . . . . . . . . 477--499
            Qing-Qing Zheng and   
                  Chang-Feng Ma   Accelerated PMHSS iteration methods for
                                  complex symmetric linear systems . . . . 501--516
                K. Mustapha and   
                B. Abdallah and   
               K. M. Furati and   
                        M. Nour   A discontinuous Galerkin method for time
                                  fractional diffusion equations with
                                  variable coefficients  . . . . . . . . . 517--534
Diana Estévez Schwarz and   
             René Lamour   A new projector based decoupling of
                                  linear DAEs for monitoring singularities 535--565
     Philippos Constantinou and   
        Charalambia Varnava and   
           Christos Xenophontos   An $ h p $ finite element method for
                                  $4$-th order singularly perturbed
                                  problems . . . . . . . . . . . . . . . . 567--590

Numerical Algorithms
Volume 73, Number 3, November, 2016

                Masoud Hajarian   Generalized conjugate direction
                                  algorithm for solving the general
                                  coupled matrix equations over symmetric
                                  matrices . . . . . . . . . . . . . . . . 591--609
               Hartwig Anzt and   
                Edmond Chow and   
                  Jens Saak and   
                  Jack Dongarra   Updating incomplete factorization
                                  preconditioners for model order
                                  reduction  . . . . . . . . . . . . . . . 611--630
               Owe Axelsson and   
              Shiraz Farouq and   
                 Maya Neytcheva   Comparison of preconditioned Krylov
                                  subspace iteration methods for
                                  PDE-constrained optimization problems    631--663
       Apostolos Hadjidimos and   
                Michael Tzoumas   The solution of the linear
                                  complementarity problem by the matrix
                                  analogue of the accelerated
                                  overrelaxation iterative method  . . . . 665--684
                     M. Ghasemi   On using cubic spline for the solution
                                  of problems in calculus of variations    685--710
                  Jiyong Li and   
                   Xianfen Wang   Multi-step hybrid methods for special
                                  second-order differential equations $
                                  y^{''}(t) = f(t, y(t)) $ . . . . . . . . 711--733
    Claude-Pierre Jeannerod and   
             Nicolas Louvet and   
         Jean-Michel Muller and   
                   Antoine Plet   Sharp error bounds for complex
                                  floating-point inversion . . . . . . . . 735--760
                 Chao-Ping Chen   Inequalities and asymptotics for the
                                  Euler--Mascheroni constant based on
                                  DeTemple's result  . . . . . . . . . . . 761--774
              Ana Maria Acu and   
                      Ioan Rasa   New estimates for the differences of
                                  positive linear operators  . . . . . . . 775--789
             Stefania Petra and   
                Constantin Popa   Single projection Kaczmarz extended
                                  algorithms . . . . . . . . . . . . . . . 791--806
        Stephen L. Campbell and   
                  John T. Betts   Comments on direct transcription
                                  solution of DAE constrained optimal
                                  control problems with two discretization
                                  approaches . . . . . . . . . . . . . . . 807--838
                       A. Hajej   Error estimates for approximation
                                  schemes of effective Hamiltonians
                                  arising in stochastic homogenization of
                                  Hamilton--Jacobi equations . . . . . . . 839--868
                   Gang Cai and   
               Yekini Shehu and   
          Olaniyi Samuel Iyiola   Iterative algorithms for solving
                                  variational inequalities and fixed point
                                  problems for asymptotically nonexpansive
                                  mappings in Banach spaces  . . . . . . . 869--906

Numerical Algorithms
Volume 73, Number 4, December, 2016

                 T. Nikazad and   
                   M. Karimpour   Controlling noise error in block
                                  iterative methods  . . . . . . . . . . . 907--925
               Davod Hezari and   
   Davod Khojasteh Salkuyeh and   
               Vahid Edalatpour   A new iterative method for solving a
                                  class of complex symmetric system of
                                  linear equations . . . . . . . . . . . . 927--955
                 Jueyu Wang and   
                     Detong Zhu   Conjugate gradient path method without
                                  line search technique for
                                  derivative-free unconstrained
                                  optimization . . . . . . . . . . . . . . 957--983
                Chaoqian Li and   
                     Yaotang Li   Weakly chained diagonally dominant
                                  $B$-matrices and error bounds for linear
                                  complementarity problems . . . . . . . . 985--998
            Morteza Kimiaei and   
                 Hamid Esmaeili   A trust-region approach with novel
                                  filter adaptive radius for system of
                                  nonlinear equations  . . . . . . . . . . 999--1016
              Munish Kansal and   
                  V. Kanwar and   
                 Saurabh Bhatia   Efficient derivative-free variants of
                                  Hansen--Patrick's family with memory for
                                  solving nonlinear equations  . . . . . . 1017--1036
                       Hao Chen   A splitting preconditioner for implicit
                                  Runge--Kutta discretizations of a
                                  partial differential-algebraic equation  1037--1054
                 R. M. Asharabi   Generalized sinc-Gaussian sampling
                                  involving derivatives  . . . . . . . . . 1055--1072
               Cairong Chen and   
                   Changfeng Ma   A generalization of the HSS-based
                                  sequential two-stage method for solving
                                  non-Hermitian saddle point problems  . . 1073--1090
             N. Kachakhidze and   
               N. Khomeriki and   
                 J. Peradze and   
                   Z. Tsiklauri   Chipot's method for a one-dimensional
                                  Kirchhoff static equation  . . . . . . . 1091--1106
               Quang Van Nguyen   Variable quasi-Bregman monotone
                                  sequences  . . . . . . . . . . . . . . . 1107--1130
   Froilán M. Dopico and   
             Kenet Pomés   Structured condition numbers for linear
                                  systems with parameterized
                                  quasiseparable coefficient matrices  . . 1131--1158
                 Haotao Cai and   
                      Jiafei Qi   A Legendre--Galerkin method for solving
                                  general Volterra functional integral
                                  equations  . . . . . . . . . . . . . . . 1159--1180


Numerical Algorithms
Volume 74, Number 1, January, 2017

             J. M. Carnicer and   
                C. Godés   Interpolation with symmetric polynomials 1--18
               Owe Axelsson and   
              Shiraz Farouq and   
                 Maya Neytcheva   Comparison of preconditioned Krylov
                                  subspace iteration methods for
                                  PDE-constrained optimization problems    19--37
                    Xu Yang and   
                   Xiaojie Wang   A transformed jump-adapted backward
                                  Euler method for jump-extended CIR and
                                  CEV models . . . . . . . . . . . . . . . 39--57
          Miglena N. Koleva and   
         Walter Mudzimbabwe and   
                Lubin G. Vulkov   Fourth-order compact schemes for a
                                  parabolic-ordinary system of European
                                  option pricing liquidity shocks model    59--75
                     A. Gil and   
                  J. Segura and   
                    N. M. Temme   Efficient algorithms for the inversion
                                  of the cumulative central beta
                                  distribution . . . . . . . . . . . . . . 77--91
               Behrouz Kheirfam   An infeasible full-NT step interior
                                  point algorithm for CQSCO  . . . . . . . 93--109
         Marcella Bonazzoli and   
              Francesca Rapetti   High-order finite elements in numerical
                                  electromagnetism: degrees of freedom and
                                  generators in duality  . . . . . . . . . 111--136
                  Hua Zheng and   
                     Wen Li and   
                  Seakweng Vong   A relaxation modulus-based matrix
                                  splitting iteration method for solving
                                  linear complementarity problems  . . . . 137--152
                 Jianyu Pan and   
                 Michael Ng and   
                      Hong Wang   Fast preconditioned iterative methods
                                  for finite volume discretization of
                                  steady-state space-fractional diffusion
                                  equations  . . . . . . . . . . . . . . . 153--173
        Francesc Ar\`andiga and   
                 Rosa Donat and   
         José J. Noguera   Generalizing the ENO--DB2 $p$ transform
                                  using the inverse wavelet transform  . . 175--198
                 Yaotang Li and   
                 Qilong Liu and   
                       Liqun Qi   Programmable criteria for strong $
                                  \mathcal {H} $-tensors . . . . . . . . . 199--221
              P. Rahimkhani and   
               Y. Ordokhani and   
                    E. Babolian   A new operational matrix based on
                                  Bernoulli wavelets for solving
                                  fractional delay differential equations  223--245
 Mukaddes Ökten Turaci and   
               Turgut Özis   Derivation of three-derivative
                                  Runge--Kutta methods . . . . . . . . . . 247--265
               P. L. Ndukum and   
                T. A. Biala and   
                S. N. Jator and   
                  R. B. Adeniyi   On a family of trigonometrically fitted
                                  extended backward differentiation
                                  formulas for stiff and oscillatory
                                  initial value problems . . . . . . . . . 267--287

Numerical Algorithms
Volume 74, Number 2, February, 2017

                Homa Zadvan and   
               Jalil Rashidinia   Non-polynomial spline method for the
                                  solution of two-dimensional linear wave
                                  equations with a nonlinear source term   289--306
              N. D. Boltaev and   
              A. R. Hayotov and   
              Kh. M. Shadimetov   Construction of optimal quadrature
                                  formulas for Fourier coefficients in
                                  Sobolev space $ L_2^{(m)}(0, 1) $  . . . 307--336
           J. Cerdán and   
            J. Marín and   
                         J. Mas   Low-rank updates of balanced incomplete
                                  factorization preconditioners  . . . . . 337--370
                    S. Amat and   
         Ioannis K. Argyros and   
                S. Busquier and   
Á. Alberto Magreñán   Local convergence and the dynamics of a
                                  two-point four parameter Jarratt-like
                                  method under weak conditions . . . . . . 371--391
           Christophe Besse and   
                      Feng Xing   Schwarz waveform relaxation method for
                                  one-dimensional Schrödinger equation with
                                  general potential  . . . . . . . . . . . 393--426
              R. K. Mohanty and   
                    Deepti Kaur   Numerov type variable mesh
                                  approximations for $1$D unsteady
                                  quasi-linear biharmonic problem:
                                  application to Kuramoto--Sivashinsky
                                  equation . . . . . . . . . . . . . . . . 427--459
              Xue-Feng Duan and   
                Chun-Mei Li and   
                Jiao-Fen Li and   
                      Yong Ding   Numerical methods for solving some
                                  matrix feasibility problems  . . . . . . 461--479
             R. M. Asharabi and   
                 H. S. Al-Abbas   Truncation error estimates for
                                  generalized Hermite sampling . . . . . . 481--497
                    Meng Li and   
            Chengming Huang and   
                    Pengde Wang   Galerkin finite element method for
                                  nonlinear fractional Schrödinger
                                  equations  . . . . . . . . . . . . . . . 499--525
        Chiheb Ben Hammouda and   
              Alvaro Moraes and   
            Raúl Tempone   Multilevel hybrid split-step implicit
                                  tau-leap . . . . . . . . . . . . . . . . 527--560
              Jacopo Castellini   Krylov iterative methods for the
                                  geometric mean of two matrices times a
                                  vector . . . . . . . . . . . . . . . . . 561--571
                    Wei Liu and   
                    Xuerong Mao   Almost sure stability of the
                                  Euler--Maruyama method with random
                                  variable stepsize for stochastic
                                  differential equations . . . . . . . . . 573--592
      Kalyanasundaram Madhu and   
           D. K. R. Babajee and   
            Jayakumar Jayaraman   An improvement to double-step Newton
                                  method and its multi-step version for
                                  solving system of nonlinear equations
                                  and its applications . . . . . . . . . . 593--607
                   P. Majee and   
                       C. Nahak   A hybrid viscosity iterative method with
                                  averaged mappings for split equilibrium
                                  problems and fixed point problems  . . . 609--635
                Walter Gautschi   Erratum to: Sub-range Jacobi polynomials 637--637
                  J. P. Jaiswal   Erratum to: Semilocal convergence of an
                                  eighth-order method in Banach spaces and
                                  its computational efficiency . . . . . . 639--641

Numerical Algorithms
Volume 74, Number 3, March, 2017

                Xiuhua Wang and   
                    Jisheng Kou   Semilocal convergence on a family of
                                  root-finding multi-point methods in
                                  Banach spaces under relaxed continuity
                                  condition  . . . . . . . . . . . . . . . 643--657
              Jin-Liang Yan and   
                 Qian Zhang and   
              Zhi-Yue Zhang and   
                     Dong Liang   A new high-order energy-preserving
                                  scheme for the modified Korteweg--de
                                  Vries equation . . . . . . . . . . . . . 659--674
              Guang-hua Gao and   
                  Zhi-zhong Sun   Two difference schemes for solving the
                                  one-dimensional time distributed-order
                                  fractional wave equations  . . . . . . . 675--697
                  Huipo Liu and   
                  Shuanghu Wang   A two-grid discretization scheme for
                                  optimal control problems of elliptic
                                  equations  . . . . . . . . . . . . . . . 699--716
               Jingwei Deng and   
                Lijing Zhao and   
                     Yujiang Wu   Fast predictor--corrector approach for
                                  the tempered fractional differential
                                  equations  . . . . . . . . . . . . . . . 717--754
         Per Bergström and   
                     Ove Edlund   Robust registration of surfaces using a
                                  refined iterative closest point
                                  algorithm with a trust region approach   755--779
   Davod Khojasteh Salkuyeh and   
                 Mohsen Masoudi   A new relaxed HSS preconditioner for
                                  saddle point problems  . . . . . . . . . 781--795
           Kendall Atkinson and   
                David Chien and   
                    Olaf Hansen   A spectral method for nonlinear elliptic
                                  equations  . . . . . . . . . . . . . . . 797--819
            John W. Pearson and   
              Sheehan Olver and   
                Mason A. Porter   Numerical methods for the computation of
                                  the confluent and Gauss hypergeometric
                                  functions  . . . . . . . . . . . . . . . 821--866
                Zisheng Liu and   
                 Jicheng Li and   
                   Wenbo Li and   
                    Pingfan Dai   A modified greedy analysis pursuit
                                  algorithm for the cosparse analysis
                                  model  . . . . . . . . . . . . . . . . . 867--887
             Jian-Hua Zhang and   
                        Hua Dai   A new block preconditioner for complex
                                  symmetric indefinite linear systems  . . 889--903
              Tommy Elfving and   
       Per Christian Hansen and   
                 Touraj Nikazad   Convergence analysis for column-action
                                  methods in image reconstruction  . . . . 905--924
              Tommy Elfving and   
       Per Christian Hansen and   
                 Touraj Nikazad   Erratum to: Convergence analysis for
                                  column-action methods in image
                                  reconstruction . . . . . . . . . . . . . 925--925
                   Fenghui Wang   On the convergence of CQ algorithm with
                                  variable steps for the split equality
                                  problem  . . . . . . . . . . . . . . . . 927--935
                     Avram Sidi   On a vectorized version of a generalized
                                  Richardson extrapolation process . . . . 937--949

Numerical Algorithms
Volume 74, Number 4, April, 2017

                 S.-S. Chow and   
                    A. Washburn   A shooting like method for non-Darcian
                                  seepage flow problems  . . . . . . . . . 951--966
                   Yaguang Yang   CurveLP --- a MATLAB implementation of
                                  an infeasible interior-point algorithm
                                  for linear programming . . . . . . . . . 967--996
                Chaoqian Li and   
                Pingfan Dai and   
                     Yaotang Li   New error bounds for linear
                                  complementarity problems of Nekrasov
                                  matrices and $B$-Nekrasov matrices . . . 997--1009
                Sergio Amat and   
             Vicente F. Candela   On the convergence of a local third
                                  order shock capturing method for
                                  hyperbolic conservation laws . . . . . . 1011--1028
                Xianfeng Hu and   
                  Mark Iwen and   
                     Hyejin Kim   Rapidly computing sparse Legendre
                                  expansions via sparse Fourier transforms 1029--1059
         Daniele Bertaccini and   
               Fabio Durastante   Solving mixed classical and fractional
                                  partial differential equations using
                                  short-memory principle and approximate
                                  inverses . . . . . . . . . . . . . . . . 1061--1082
           Bernard Bialecki and   
              Ryan I. Fernandes   Alternating direction implicit
                                  orthogonal spline collocation on some
                                  non-rectangular regions with
                                  inconsistent partitions  . . . . . . . . 1083--1100
            Jonathan Calver and   
                  Wayne Enright   Numerical methods for computing
                                  sensitivities for ODEs and DDEs  . . . . 1101--1117
        Ali Foroush Bastani and   
              Davood Damircheli   An adaptive algorithm for solving
                                  stochastic multi-point boundary value
                                  problems . . . . . . . . . . . . . . . . 1119--1143
                  Rezvan Salehi   A meshless point collocation method for
                                  $2$-D multi-term time fractional
                                  diffusion-wave equation  . . . . . . . . 1145--1168
              Changbum Chun and   
                      Beny Neta   Comparative study of eighth-order
                                  methods for finding simple roots of
                                  nonlinear equations  . . . . . . . . . . 1169--1201
              A. Borhanifar and   
               S. Shahmorad and   
                       E. Feizi   A matrix formulated algorithm for
                                  solving parabolic equations with
                                  nonlocal boundary conditions . . . . . . 1203--1221
           Eleonora Messina and   
                Antonia Vecchio   A sufficient condition for the stability
                                  of direct quadrature methods for
                                  Volterra integral equations  . . . . . . 1223--1236
           Claude Brezinski and   
          Michela Redivo-Zaglia   The simplified topological $ \epsilon
                                  $-algorithms: software and applications  1237--1260


Numerical Algorithms
Volume 75, Number 1, May, 2017

       Woula Themistoclakis and   
                 Marc Van Barel   Generalized de la Vallée Poussin
                                  approximations on $ [ - 1, 1] $  . . . . 1--31
               Qin-Qin Shen and   
                   Yang Cao and   
                        Li Wang   Two improvements of the deteriorated PSS
                                  preconditioner for generalized saddle
                                  point problems . . . . . . . . . . . . . 33--54
                    Yang Li and   
                   Xue-Ping Guo   Multi-step modified Newton--HSS methods
                                  for systems of nonlinear equations with
                                  positive definite Jacobian matrices  . . 55--80
            Anastasia Zakharova   Total variation reconstruction from
                                  quadratic measurements . . . . . . . . . 81--92
      Stanis\law Lewanowicz and   
              Pawe\l Keller and   
                 Pawe\l Wo\'zny   Constrained approximation of rational
                                  triangular Bézier surfaces by polynomial
                                  triangular Bézier surfaces  . . . . . . . 93--111
               Komal Bansal and   
                Kapil K. Sharma   Parameter uniform numerical scheme for
                                  time dependent singularly perturbed
                                  convection-diffusion-reaction problems
                                  with general shift arguments . . . . . . 113--145
            A. Q. M. Khaliq and   
                   X. Liang and   
                   K. M. Furati   A fourth-order implicit-explicit scheme
                                  for the space fractional nonlinear
                                  Schrödinger equations . . . . . . . . . . 147--172
         Mostafa Abbaszadeh and   
                  Mehdi Dehghan   An improved meshless method for solving
                                  two-dimensional distributed order
                                  time-fractional diffusion-wave equation
                                  with error estimate  . . . . . . . . . . 173--211
                Sunil Kumar and   
                 Amit Kumar and   
             Ioannis K. Argyros   A new analysis for the Keller--Segel
                                  model of fractional order  . . . . . . . 213--228
              I. K. Argyros and   
M. A. Hernández-Verón and   
                    M. J. Rubio   Convergence of Steffensen's method for
                                  non-differentiable operators . . . . . . 229--244
                   Xue-Yuan Tan   Shifted SSOR-like preconditioner for
                                  non-Hermitian positive definite matrices 245--260
          Winfried Auzinger and   
                Othmar Koch and   
                  Michael Quell   Adaptive high-order splitting methods
                                  for systems of nonlinear evolution
                                  equations with periodic boundary
                                  conditions . . . . . . . . . . . . . . . 261--283
                   O. Abidi and   
                 M. Heyouni and   
                      K. Jbilou   On some properties of the extended block
                                  and global Arnoldi methods with
                                  applications to model reduction  . . . . 285--304
           N. Mahdavi-Amiri and   
                     M. Shaeiri   An adaptive competitive penalty method
                                  for nonsmooth constrained optimization   305--336

Numerical Algorithms
Volume 75, Number 2, June, 2017

                      Anonymous   Special issue: recent progress on
                                  iterative methods for large systems of
                                  equations  . . . . . . . . . . . . . . . 337--338
                     Rui Li and   
                   Jun-Feng Yin   Accelerated modulus-based matrix
                                  splitting iteration methods for a
                                  restricted class of nonlinear
                                  complementarity problems . . . . . . . . 339--358
            Enyinda Onunwor and   
                 Lothar Reichel   On the computation of a truncated SVD of
                                  a large linear discrete ill-posed
                                  problem  . . . . . . . . . . . . . . . . 359--380
               Pengpeng Xie and   
                  Hua Xiang and   
                      Yimin Wei   A contribution to perturbation analysis
                                  for total least squares problems . . . . 381--395
                 Kensuke Aihara   Variants of the groupwise update
                                  strategy for short-recurrence Krylov
                                  subspace methods . . . . . . . . . . . . 397--412
              Akira Imakura and   
                Tetsuya Sakurai   Block Krylov-type complex moment-based
                                  eigensolvers for solving generalized
                                  eigenvalue problems  . . . . . . . . . . 413--433
               Huai-An Diao and   
                  Yimin Wei and   
                   Pengpeng Xie   Small sample statistical condition
                                  estimation for the total least squares
                                  problem  . . . . . . . . . . . . . . . . 435--455
               Keiichi Morikuni   Multistep matrix splitting iteration
                                  preconditioning for singular linear
                                  systems  . . . . . . . . . . . . . . . . 457--475
                   L. Dykes and   
                S. Noschese and   
                     L. Reichel   Circulant preconditioners for discrete
                                  ill-posed Toeplitz systems . . . . . . . 477--490
            J. Marín and   
                     J. Mas and   
                D. Guerrero and   
                      K. Hayami   Updating preconditioners for modified
                                  least squares problems . . . . . . . . . 491--508

Numerical Algorithms
Volume 75, Number 3, July, 2017

              Higinio Ramos and   
            Gurjinder Singh and   
                  V. Kanwar and   
                 Saurabh Bhatia   An embedded $ 3 (2) $ pair of nonlinear
                                  methods for solving first order
                                  initial-value ordinary differential
                                  systems  . . . . . . . . . . . . . . . . 509--529
                Pradip Roul and   
                   Dipak Biswal   A new numerical approach for solving a
                                  class of singular two-point boundary
                                  value problems . . . . . . . . . . . . . 531--552
         Ioannis K. Argyros and   
                Santhosh George   On the convergence of Newton-like
                                  methods using restricted domains . . . . 553--567
                   H. Zhang and   
                     F. Liu and   
                  I. Turner and   
                    S. Chen and   
                        Q. Yang   Numerical simulation of a Finite Moment
                                  Log Stable model for a European call
                                  option . . . . . . . . . . . . . . . . . 569--585
                 Amit Bhaya and   
    Pierre-Alexandre Bliman and   
                 Fernando Pazos   Cooperative concurrent asynchronous
                                  computation of the solution of symmetric
                                  linear systems . . . . . . . . . . . . . 587--617
               Sudeep Kundu and   
              Saumya Bajpai and   
                  Amiya K. Pani   Asymptotic behavior and finite element
                                  error estimates of Kelvin--Voigt
                                  viscoelastic fluid flow model  . . . . . 619--653
                  Ana Marco and   
José-Javier Martínez and   
                   Raquel Viana   Accurate polynomial interpolation by
                                  using the Bernstein basis  . . . . . . . 655--674
                      C.-H. Cho   A numerical algorithm for blow-up
                                  problems revisited . . . . . . . . . . . 675--697
                    Jun Liu and   
              Yao-Lin Jiang and   
                       Yan Wang   A Fast and Stable Algorithm for Linear
                                  Parabolic Partial Differential Equations 699--729
             Franck Delvare and   
              Alain Cimeti\`ere   Unique discrete harmonic continuation
                                  and data completion problems using the
                                  fading regularization method . . . . . . 731--751
               Longbin Zhao and   
                Chengming Huang   An adaptive Filon-type method for
                                  oscillatory integrals without stationary
                                  points . . . . . . . . . . . . . . . . . 753--775
          Andrzej Marciniak and   
   Ma\lgorzata A. Jankowska and   
                Tomasz Hoffmann   On interval predictor--corrector methods 777--808
                 C. Clavero and   
                    J. C. Jorge   A fractional step method for $2$D
                                  parabolic convection-diffusion
                                  singularly perturbed problems: uniform
                                  convergence and order reduction  . . . . 809--826
              Laurent Gajny and   
             Olivier Gibaru and   
                 Eric Nyiri and   
                Shu-Cherng Fang   Best $ L_1 $ approximation of
                                  Heaviside-type functions from Chebyshev
                                  and weak-Chebyshev spaces  . . . . . . . 827--843

Numerical Algorithms
Volume 75, Number 4, August, 2017

              Hong-lin Liao and   
                    Pin Lyu and   
              Seakweng Vong and   
                      Ying Zhao   Stability of fully discrete schemes with
                                  interpolation-type fractional formulas
                                  for distributed-order subdiffusion
                                  equations  . . . . . . . . . . . . . . . 845--878
                    M. Chau and   
                  A. Laouar and   
                  T. Garcia and   
                     P. Spiteri   Grid solution of problem with unilateral
                                  constraints  . . . . . . . . . . . . . . 879--908
              Xianyang Zeng and   
                Hongli Yang and   
                     Xinyuan Wu   An improved tri-coloured rooted-tree
                                  theory and order conditions for ERKN
                                  methods for general multi-frequency
                                  oscillatory systems  . . . . . . . . . . 909--935
              Prabir Daripa and   
                    Aditi Ghosh   The FFTRR-based fast direct algorithms
                                  for complex inhomogeneous biharmonic
                                  problems with applications to
                                  incompressible flows . . . . . . . . . . 937--971
            M. J. Senosiain and   
                      A. Tocino   Two-step strong order $ 1.5 $ schemes
                                  for stochastic differential equations    973--1003
                 Fu-jun Liu and   
                Hui-yuan Li and   
                Zhong-qing Wang   Spectral methods using generalized
                                  Laguerre functions for second and fourth
                                  order problems . . . . . . . . . . . . . 1005--1040
                    M. Jani and   
                E. Babolian and   
                  S. Javadi and   
                      D. Bhatta   Banded operational matrices for
                                  Bernstein polynomials and application to
                                  the fractional advection-dispersion
                                  equation . . . . . . . . . . . . . . . . 1041--1063
               Wataru Takahashi   The split common null point problem for
                                  generalized resolvents in two Banach
                                  spaces . . . . . . . . . . . . . . . . . 1065--1078
               Kanae Akaiwa and   
         Yoshimasa Nakamura and   
            Masashi Iwasaki and   
              Akira Yoshida and   
                   Koichi Kondo   An arbitrary band structure construction
                                  of totally nonnegative matrices with
                                  prescribed eigenvalues . . . . . . . . . 1079--1101
                  Yi-Fen Ke and   
                  Chang-Feng Ma   An inexact modified relaxed splitting
                                  preconditioner for the generalized
                                  saddle point problems from the
                                  incompressible Navier--Stokes equations  1103--1121
               Rui-Ping Wen and   
                Fu-Jiao Ren and   
                   Guo-Yan Meng   Modified quasi-Chebyshev acceleration to
                                  nonoverlapping parallel multisplitting
                                  method . . . . . . . . . . . . . . . . . 1123--1140
               Oliver J. Sutton   The virtual element method in 50 lines
                                  of MATLAB  . . . . . . . . . . . . . . . 1141--1159
             Zheng-Ge Huang and   
               Li-Gong Wang and   
                   Zhong Xu and   
                  Jing-Jing Cui   A generalized variant of the
                                  deteriorated PSS preconditioner for
                                  nonsymmetric saddle point problems . . . 1161--1191
                Stoil I. Ivanov   A unified semilocal convergence analysis
                                  of a family of iterative algorithms for
                                  computing all zeros of a polynomial
                                  simultaneously . . . . . . . . . . . . . 1193--1204


Numerical Algorithms
Volume 76, Number 1, September, 2017

              Marcel Schweitzer   A two-sided short-recurrence extended
                                  Krylov subspace method for nonsymmetric
                                  matrices and its relation to rational
                                  moment matching  . . . . . . . . . . . . 1--31
              Ryo Kobayashi and   
              Takuma Kimura and   
                Shin'ichi Oishi   A method for verifying the accuracy of
                                  numerical solutions of symmetric saddle
                                  point linear systems . . . . . . . . . . 33--51
              Rachid Ait-Haddou   $q$-Blossoming and Hermite--Padé
                                  approximants to the $q$-exponential
                                  function . . . . . . . . . . . . . . . . 53--66
                Ky Anh Pham and   
                 Ngoc Hai Trinh   Splitting extragradient-like algorithms
                                  for strongly pseudomonotone equilibrium
                                  problems . . . . . . . . . . . . . . . . 67--91
               Shi-Liang Wu and   
                     Cui-Xia Li   Modified complex-symmetric and
                                  skew-Hermitian splitting iteration
                                  method for a class of complex-symmetric
                                  indefinite linear systems  . . . . . . . 93--107
           Sascha Wörz and   
                Heinz Bernhardt   A global convergent derivative-free
                                  method for solving a system of
                                  non-linear equations . . . . . . . . . . 109--124
         Lukasz Plociniczak and   
               Szymon Sobieszek   Numerical schemes for
                                  integro-differential equations with
                                  Erdélyi--Kober fractional operator  . . . 125--150
           Robert A. Van Gorder   On the utility of the homotopy analysis
                                  method for non-analytic and global
                                  solutions to nonlinear differential
                                  equations  . . . . . . . . . . . . . . . 151--162
                Ali Baharev and   
               Ferenc Domes and   
                Arnold Neumaier   A robust approach for finding all
                                  well-separated solutions of sparse
                                  systems of nonlinear equations . . . . . 163--189
            Benjamin Kehlet and   
                    Anders Logg   A posteriori error analysis of round-off
                                  errors in the numerical solution of
                                  ordinary differential equations  . . . . 191--210
         Michael A. Jandron and   
           Anthony A. Ruffa and   
                  James Baglama   An asynchronous direct solver for banded
                                  linear systems . . . . . . . . . . . . . 211--235
                      Jiyong Li   Trigonometrically fitted multi-step
                                  Runge--Kutta methods for solving
                                  oscillatory initial value problems . . . 237--258
               Yekini Shehu and   
              Olaniyi S. Iyiola   Strong convergence result for monotone
                                  variational inequalities . . . . . . . . 259--282
                Mona Narang and   
             Saurabh Bhatia and   
                   Vinay Kanwar   New efficient derivative free family of
                                  seventh-order methods for solving
                                  systems of nonlinear equations . . . . . 283--307

Numerical Algorithms
Volume 76, Number 2, October, 2017

M. A. Hernández-Verón and   
    Eulalia Martínez and   
                  Carles Teruel   Semilocal convergence of a $k$-step
                                  iterative process and its application
                                  for solving a special kind of
                                  conservative problems  . . . . . . . . . 309--331
      Gradimir V. Milovanovi\'c   Symbolic--numeric computation of
                                  orthogonal polynomials and Gaussian
                                  quadratures with respect to the cardinal
                                  $B$-spline . . . . . . . . . . . . . . . 333--347
                Sunil Kumar and   
                   Mukesh Kumar   A second order uniformly convergent
                                  numerical scheme for parameterized
                                  singularly perturbed delay differential
                                  problems . . . . . . . . . . . . . . . . 349--360
             Maged Alkilayh and   
             Lothar Reichel and   
                   Jin Yun Yuan   New zero-finders for trust-region
                                  computations . . . . . . . . . . . . . . 361--375
               Rafa\l Nowak and   
                 Pawe\l Wo\'zny   New properties of a certain method of
                                  summation of generalized hypergeometric
                                  series . . . . . . . . . . . . . . . . . 377--391
                  Zhen Wang and   
                     Li Zou and   
                     Yupeng Qin   Piecewise homotopy analysis method and
                                  convergence analysis for formally
                                  well-posed initial value problems  . . . 393--411
                Jing-Tao Li and   
                  Chang-Feng Ma   The parameterized upper and lower
                                  triangular splitting methods for saddle
                                  point problems . . . . . . . . . . . . . 413--425
               Dang Quang A and   
            Dang Quang Long and   
                Ngo Thi Kim Quy   A novel efficient method for nonlinear
                                  boundary value problems  . . . . . . . . 427--439
                   Qi Zhang and   
             Yangzhang Zhao and   
                Jeremy Levesley   Adaptive radial basis function
                                  interpolation using an error indicator   441--471
                Linsen Song and   
                        Yan Gao   A nonsmooth Levenberg--Marquardt method
                                  for vertical complementarity problems    473--485
               Xiaoxu Zhong and   
                    Shijun Liao   On the homotopy analysis method for
                                  backward/forward--backward stochastic
                                  differential equations . . . . . . . . . 487--519
                   Gang Cai and   
               Yekini Shehu and   
          Olaniyi Samuel Iyiola   Viscosity iterative algorithms for fixed
                                  point problems of asymptotically
                                  nonexpansive mappings in the
                                  intermediate sense and variational
                                  inequality problems in Banach spaces . . 521--553
             Antonio Garijo and   
              Xavier Jarque and   
             Jordi Villadelprat   An effective algorithm to compute
                                  Mandelbrot sets in parameter planes  . . 555--571
                   Pu Zhang and   
                         Hai Pu   A second-order compact difference scheme
                                  for the fourth-order fractional
                                  sub-diffusion equation . . . . . . . . . 573--598
             Stefania Petra and   
                Constantin Popa   Erratum to: \booktitleSingle projection
                                  Kaczmarz extended algorithms . . . . . . 599--604

Numerical Algorithms
Volume 76, Number 3, November, 2017

              Yun-Chi Huang and   
                   Siu-Long Lei   A fast numerical method for block lower
                                  triangular Toeplitz with dense Toeplitz
                                  blocks system with applications to
                                  time-space fractional diffusion
                                  equations  . . . . . . . . . . . . . . . 605--616
                 Raoul Bourquin   Algorithms for the construction of
                                  high-order Kronrod rule extensions with
                                  application to sparse-grid integration   617--637
      Cleonice F. Bracciali and   
                 Michael Carley   Quasi-analytical root-finding for
                                  non-polynomial functions . . . . . . . . 639--653
         Rashad M. Asharabi and   
            Mohammed M. Tharwat   Approximating eigenvalues of Dirac
                                  system with discontinuities at several
                                  points using Hermite--Gauss method . . . 655--673
       Abderrahim Messaoudi and   
                  Hassane Sadok   Recursive polynomial interpolation
                                  algorithm (RPIA) . . . . . . . . . . . . 675--694
                     Leilei Wei   Stability and convergence of a fully
                                  discrete local discontinuous Galerkin
                                  method for multi-term time fractional
                                  diffusion equations  . . . . . . . . . . 695--707
                 Phung Van Manh   Hermite interpolation with symmetric
                                  polynomials  . . . . . . . . . . . . . . 709--725
                Guidong Liu and   
                 Shuhuang Xiang   Fast multipole methods for approximating
                                  a function from sampling values  . . . . 727--743
                A. Astorino and   
                M. Gaudioso and   
                     E. Gorgone   A method for convex minimization based
                                  on translated first-order approximations 745--760
                Hongli Yang and   
                  Xianyang Zeng   A feasible and effective technique in
                                  constructing ERKN methods for
                                  multi-frequency multidimensional
                                  oscillators in scientific computation    761--782
                   Nguyen Buong   Iterative algorithms for the
                                  multiple-sets split feasibility problem
                                  in Hilbert spaces  . . . . . . . . . . . 783--798
               Qiao-Li Dong and   
                 Yan-Yan Lu and   
               Jinfeng Yang and   
                    Songnian He   Approximately solving multi-valued
                                  variational inequalities by using a
                                  projection and contraction algorithm . . 799--812
               Yueting Yang and   
                Yuting Chen and   
                     Yunlong Lu   A subspace conjugate gradient algorithm
                                  for large-scale unconstrained
                                  optimization . . . . . . . . . . . . . . 813--828
           Bruno Després   Polynomials with bounds and numerical
                                  approximation  . . . . . . . . . . . . . 829--859

Numerical Algorithms
Volume 76, Number 4, December, 2017

      Mikel Antoñana and   
            Joseba Makazaga and   
                    Ander Murua   Reducing and monitoring round-off error
                                  propagation for symplectic implicit
                                  Runge--Kutta schemes . . . . . . . . . . 861--880
               Peter Benner and   
       Mohammad-Sahadet Hossain   Structure preserving iterative methods
                                  for periodic projected Lyapunov
                                  equations and their application in model
                                  reduction of periodic descriptor systems 881--904
               St. Maruster and   
                    L. Maruster   Local convergence of generalized Mann
                                  iteration  . . . . . . . . . . . . . . . 905--916
             Milena Kresoja and   
             Zorana Luzanin and   
               Irena Stojkovska   Adaptive stochastic approximation
                                  algorithm  . . . . . . . . . . . . . . . 917--937
                   X. Liang and   
            A. Q. M. Khaliq and   
                   H. Bhatt and   
                   K. M. Furati   The locally extrapolated exponential
                                  splitting scheme for multi-dimensional
                                  nonlinear space-fractional Schrödinger
                                  equations  . . . . . . . . . . . . . . . 939--958
                     Achiya Dax   A gradual rank increasing process for
                                  matrix completion  . . . . . . . . . . . 959--976
          Ajeet Singh Verma and   
                  Pankaj Mathur   Polynomial wavelets on the unit circle   977--992
             Jiansong Zhang and   
               Danping Yang and   
                    Hui Guo and   
                         Yan Qu   Parallel algorithm combined with mixed
                                  element procedure for compressible
                                  miscible displacement problem  . . . . . 993--1019
                Min-Li Zeng and   
                 Guo-Feng Zhang   Complex-extrapolated MHSS iteration
                                  method for singular complex symmetric
                                  linear systems . . . . . . . . . . . . . 1021--1037
               Chang-Lin Xu and   
                   Guo-Yin Wang   A novel cognitive transformation
                                  algorithm based on Gaussian cloud model
                                  and its application in image
                                  segmentation . . . . . . . . . . . . . . 1039--1070
           Masoud Ahookhosh and   
                Arnold Neumaier   Optimal subgradient algorithms for
                                  large-scale convex optimization in
                                  simple domains . . . . . . . . . . . . . 1071--1097
                Walter Gautschi   Polynomials orthogonal with respect to
                                  cardinal B-spline weight functions . . . 1099--1107
                William La Cruz   A spectral algorithm for large-scale
                                  systems of nonlinear monotone equations  1109--1130
               Iwona Skalna and   
            Milan Hladík   A new algorithm for Chebyshev
                                  minimum-error multiplication of reduced
                                  affine forms . . . . . . . . . . . . . . 1131--1152


Numerical Algorithms
Volume 77, Number 1, January, 2018

               Ping-Fei Dai and   
               Qing-Biao Wu and   
                  Min-Hong Chen   Modified Newton--NSS method for solving
                                  systems of nonlinear equations . . . . . 1--21
              Dongsheng Guo and   
                 Xinjie Lin and   
                 Zhaozhu Su and   
                   Sibo Sun and   
                  Zhijing Huang   Design and analysis of two discrete-time
                                  ZD algorithms for time-varying nonlinear
                                  minimization . . . . . . . . . . . . . . 23--36
                    Kai Liu and   
                 Xinyuan Wu and   
                        Wei Shi   Extended phase properties and stability
                                  analysis of RKN-type integrators for
                                  solving general oscillatory second-order
                                  initial value problems . . . . . . . . . 37--56
             Boles\law Kacewicz   Adaptive mesh point selection for the
                                  efficient solution of scalar IVPs  . . . 57--75
           Calin-Ioan Gheorghiu   On the numerical treatment of the
                                  eigenparameter dependent boundary
                                  conditions . . . . . . . . . . . . . . . 77--93
                     Ali Shokri   A new eight-order symmetric two-step
                                  multiderivative method for the numerical
                                  solution of second-order IVPs with
                                  oscillating solutions  . . . . . . . . . 95--109
     Hassan Khosravian-Arab and   
              Mehdi Dehghan and   
                 M. R. Eslahchi   A new approach to improve the order of
                                  approximation of the Bernstein
                                  operators: theory and applications . . . 111--150
                  Liyun Zuo and   
                    Guangzhi Du   A parallel two-grid linearized method
                                  for the coupled Navier--Stokes--Darcy
                                  problem  . . . . . . . . . . . . . . . . 151--165
                  Jing Wang and   
               Xue-Ping Guo and   
                 Hong-Xiu Zhong   MN-DPMHSS iteration method for systems
                                  of nonlinear equations with block
                                  two-by-two complex Jacobian matrices . . 167--184
          Christian Bargetz and   
               Simeon Reich and   
                    Rafal Zalas   Convergence properties of dynamic
                                  string-averaging projection methods in
                                  the presence of perturbations  . . . . . 185--209
     Hamid Reza Tabrizidooz and   
           Khadigeh Shabanpanah   Bernstein polynomial basis for numerical
                                  solution of boundary value problems  . . 211--228
                    Lei Gao and   
               Yaqiang Wang and   
                    Chaoqian Li   New error bounds for the linear
                                  complementarity problem of QN-matrices   229--242
                  Wenwu Gao and   
                      Ran Zhang   Multiquadric trigonometric spline
                                  quasi-interpolation for numerical
                                  differentiation of noisy data: a
                                  stochastic perspective . . . . . . . . . 243--259
               Jorge Duarte and   
   Cristina Januário and   
               Nuno Martins and   
           C. Correia Ramos and   
            Carla Rodrigues and   
         Josep Sardanyés   Optimal homotopy analysis of a chaotic
                                  HIV-1 model incorporating AIDS-related
                                  cancer cells . . . . . . . . . . . . . . 261--288
                K. R. Kazmi and   
                  Rehan Ali and   
                    Mohd Furkan   Krasnoselski--Mann type iterative method
                                  for hierarchical fixed point problem and
                                  split mixed equilibrium problem  . . . . 289--308
                 B. Despres and   
                       M. Herda   Correction to: Polynomials with bounds
                                  and numerical approximation  . . . . . . 309--311

Numerical Algorithms
Volume 77, Number 2, February, 2018

                   Ali Aral and   
              Gulsum Ulusoy and   
                  Emre Den\.\iz   A new construction of Szász--Mirakyan
                                  operators  . . . . . . . . . . . . . . . 313--326
           Adhemar Bultheel and   
 Juan Carlos Santos-León   Properties of interpolatory quadrature
                                  with equidistant nodes on the unit
                                  circle . . . . . . . . . . . . . . . . . 327--359
                Tom Duchamp and   
                   Gang Xie and   
                      Thomas Yu   Smoothing nonlinear subdivision schemes
                                  by averaging . . . . . . . . . . . . . . 361--379
                   K. Sadri and   
                   A. Amini and   
                       C. Cheng   A new numerical method for delay and
                                  advanced integro-differential equations  381--412
                 Neculai Andrei   An adaptive scaled BFGS method for
                                  unconstrained optimization . . . . . . . 413--432
              Gasper Jaklic and   
                   Jernej Kozak   On parametric polynomial circle
                                  approximation  . . . . . . . . . . . . . 433--450
                Ju-Li Zhang and   
               Hong-Tao Fan and   
                  Chuan-Qing Gu   An improved block splitting
                                  preconditioner for complex symmetric
                                  indefinite linear systems  . . . . . . . 451--478
   Raweerote Suparatulatorn and   
    Watcharaporn Cholamjiak and   
                 Suthep Suantai   A modified $S$-iteration process for
                                  $G$-nonexpansive mappings in Banach
                                  spaces with graphs . . . . . . . . . . . 479--490
           Bernard Bialecki and   
           Andreas Karageorghis   A Legendre spectral quadrature Galerkin
                                  method for the Cauchy--Navier equations
                                  of elasticity with variable coefficients 491--516
               Mohamed El-Gamel   Error analysis of sinc-Galerkin method
                                  for time-dependent partial differential
                                  equations  . . . . . . . . . . . . . . . 517--533
                   Gang Cai and   
               Yekini Shehu and   
          Olaniyi Samuel Iyiola   Strong convergence results for
                                  variational inequalities and fixed point
                                  problems using modified viscosity
                                  implicit rules . . . . . . . . . . . . . 535--558
              Tsung-Lin Lee and   
               Tien-Yien Li and   
                 Zhonggang Zeng   RankRev: a Matlab package for computing
                                  the numerical rank and
                                  updating/downdating  . . . . . . . . . . 559--576
           Hessah Alqahtani and   
                 Lothar Reichel   Simplified anti-Gauss quadrature rules
                                  with applications in linear algebra  . . 577--602
       Guillermo Navas-Palencia   Fast and accurate algorithm for the
                                  generalized exponential integral $ E_\nu
                                  (x) $ for positive real order  . . . . . 603--630
                     Zhe Li and   
               Baocheng Wan and   
                     Ruimei Gao   Verified error bounds for eigenvalues of
                                  geometric multiplicity $q$ and
                                  corresponding invariant subspaces  . . . 631--652

Numerical Algorithms
Volume 77, Number 3, March, 2018

               Kaizhan Huai and   
                Mingfang Ni and   
                  Zhanke Yu and   
                Xiang Zheng and   
                        Feng Ma   A generalized inexact Uzawa method for
                                  stable principal component pursuit
                                  problem with nonnegative constraints . . 653--674
                     Leilei Wei   Analysis of a new finite
                                  difference/local discontinuous Galerkin
                                  method for the fractional Cattaneo
                                  equation . . . . . . . . . . . . . . . . 675--690
          Alexander Belyaev and   
           Pierre-Alain Fayolle   On modified Gordon--Wixom interpolation
                                  schemes and their applications to
                                  nonlinear and exterior domain problems   691--708
                 H.-S. Chen and   
                S.-L. Chang and   
                 B.-W. Jeng and   
                    C.-S. Chien   Continuation and stability analysis for
                                  Bloch waves of the Gross--Pitaevskii
                                  equation . . . . . . . . . . . . . . . . 709--726
    Kritsada Lerkchaiyaphum and   
           Withun Phuengrattana   Iterative approaches to solving convex
                                  minimization problems and fixed point
                                  problems in complete CAT(0) spaces . . . 727--740
                Do Sang Kim and   
                   Bui Van Dinh   Parallel extragradient algorithms for
                                  multiple set split equilibrium problems
                                  in Hilbert spaces  . . . . . . . . . . . 741--761
              Zohreh Asgari and   
                 S. M. Hosseini   Efficient numerical schemes for the
                                  solution of generalized time fractional
                                  Burgers type equations . . . . . . . . . 763--792
                  Fuat Usta and   
                Jeremy Levesley   Multilevel quasi-interpolation on a
                                  sparse grid with the Gaussian  . . . . . 793--808
                     M. Ghasemi   A new efficient DQ algorithm for the
                                  solution of elliptic problems in higher
                                  dimensions . . . . . . . . . . . . . . . 809--829
                 James Hook and   
                Nicholas Dingle   Performance analysis of asynchronous
                                  parallel Jacobi  . . . . . . . . . . . . 831--866
                Hassan Majidian   Automatic computing of oscillatory
                                  integrals  . . . . . . . . . . . . . . . 867--884
                A. S. Hendy and   
           R. H. De Staelen and   
                  V. G. Pimenov   A semi-linear delayed diffusion-wave
                                  system with distributed order in time    885--903
                     Rong Huang   On the sensitivity of generators for the
                                  $ Q R $ factorization of quasiseparable
                                  matrices with total nonpositivity  . . . 905--924
                   Fenghui Wang   Polyak's gradient method for split
                                  feasibility problem constrained by level
                                  sets . . . . . . . . . . . . . . . . . . 925--938
                    Y. Chen and   
                Chang-Ming Chen   Numerical algorithm for solving the
                                  Stokes' first problem for a heated
                                  generalized second grade fluid with
                                  fractional derivative  . . . . . . . . . 939--953

Numerical Algorithms
Volume 77, Number 4, April, 2018

          Mariarosaria Rizzardi   Detection of the singularities of a
                                  complex function by numerical
                                  approximations of its Laurent
                                  coefficients . . . . . . . . . . . . . . 955--982
                  Dang Van Hieu   Convergence analysis of a new algorithm
                                  for strongly pseudomontone equilibrium
                                  problems . . . . . . . . . . . . . . . . 983--1001
         Dusan Lj. Djuki\'c and   
       Aleksandar V. Pejcev and   
          Miodrag M. Spalevi\'c   The error bounds of Gauss--Kronrod
                                  quadrature formulae for weight functions
                                  of Bernstein--Szeg\Ho type . . . . . . . 1003--1028
            Frida Svelander and   
              Gustav Kettil and   
              Tomas Johnson and   
               Andreas Mark and   
                Anders Logg and   
                Fredrik Edelvik   Robust intersection of structured
                                  hexahedral meshes and degenerate
                                  triangle meshes with volume fraction
                                  applications . . . . . . . . . . . . . . 1029--1068
               A. Messaoudi and   
                  R. Sadaka and   
                       H. Sadok   New algorithm for computing the Hermite
                                  interpolation polynomial . . . . . . . . 1069--1092
             Lajos Lóczi   Exact optimal values of step-size
                                  coefficients for boundedness of linear
                                  multistep methods  . . . . . . . . . . . 1093--1116
          Relja Vulanovi\'c and   
           Thái Anh Nhan   A numerical method for stationary shock
                                  problems with monotonic solutions  . . . 1117--1139
                     Dan Gordon   A derandomization approach to recovering
                                  bandlimited signals across a wide range
                                  of random sampling rates . . . . . . . . 1141--1157
                     Dan Li and   
                     Detong Zhu   An affine scaling interior trust-region
                                  method combining with line search filter
                                  technique for optimization subject to
                                  bounds on variables  . . . . . . . . . . 1159--1182
               Wei-wei Yang and   
                         Qin Ni   A cubically convergent method for
                                  solving the largest eigenvalue of a
                                  nonnegative irreducible tensor . . . . . 1183--1197
              Mathew Baxter and   
   Mangalagama Dewasurendra and   
         Kuppalapalle Vajravelu   A method of directly defining the
                                  inverse mapping for solutions of coupled
                                  systems of nonlinear differential
                                  equations  . . . . . . . . . . . . . . . 1199--1211
          Marie-Laurence Mazure   Piecewise Chebyshevian splines:
                                  interpolation versus design  . . . . . . 1213--1247
             Ramandeep Behl and   
             Alicia Cordero and   
           Sandile S. Motsa and   
             Juan R. Torregrosa   An eighth-order family of optimal
                                  multiple root finders and its dynamics   1249--1272
                 Neculai Andrei   A Dai--Liao conjugate gradient algorithm
                                  with clustering of eigenvalues . . . . . 1273--1282
              P. Rahimkhani and   
               Y. Ordokhani and   
                    E. Babolian   Müntz--Legendre wavelet operational
                                  matrix of fractional-order integration
                                  and its applications for solving the
                                  fractional pantograph differential
                                  equations  . . . . . . . . . . . . . . . 1283--1305


Numerical Algorithms
Volume 78, Number 1, May, 2018

            Benjamin W. Ong and   
               Bankim C. Mandal   Pipeline implementations of
                                  Neumann--Neumann and Dirichlet--Neumann
                                  waveform relaxation methods  . . . . . . 1--20
                 Zexian Liu and   
                    Hongwei Liu   An efficient gradient method with
                                  approximate optimal stepsize for
                                  large-scale unconstrained optimization   21--39
         Abdelkrim El Mouatasim   Implementation of reduced gradient with
                                  bisection algorithms for non-convex
                                  optimization problem via stochastic
                                  perturbation . . . . . . . . . . . . . . 41--62
      Mikel Antoñana and   
            Joseba Makazaga and   
                    Ander Murua   Efficient implementation of symplectic
                                  implicit Runge--Kutta schemes with
                                  simplified Newton iterations . . . . . . 63--86
             Xiang-Ke Chang and   
                      Yi He and   
               Xing-Biao Hu and   
                     Shi-Hao Li   A new integrable convergence
                                  acceleration algorithm for computing
                                  Brezinski--Durbin--Redivo--Zaglia's
                                  sequence transformation via pfaffians    87--106
                Tongke Wang and   
                Yuesheng Gu and   
                   Zhiyue Zhang   An algorithm for the inversion of
                                  Laplace transforms using Puiseux
                                  expansions . . . . . . . . . . . . . . . 107--132
             Gerlind Plonka and   
        Katrin Wannenwetsch and   
                 Annie Cuyt and   
                   Wen-shin Lee   Deterministic sparse FFT for $M$-sparse
                                  vectors  . . . . . . . . . . . . . . . . 133--159
                 Jingshi Li and   
              Xiaoshen Wang and   
                      Kai Zhang   An efficient alternating direction
                                  method of multipliers for optimal
                                  control problems constrained by random
                                  Helmholtz equations  . . . . . . . . . . 161--191
                   M. Abbas and   
              M. AlShahrani and   
               Q. H. Ansari and   
               O. S. Iyiola and   
                       Y. Shehu   Iterative methods for solving proximal
                                  split minimization problems  . . . . . . 193--215
                 D. Barrera and   
                 C. Dagnino and   
 M. J. Ibáñez and   
                     S. Remogna   Trivariate near-best blending spline
                                  quasi-interpolation operators  . . . . . 217--241
               J. M. Franco and   
               L. Rández   An eighth-order exponentially fitted
                                  two-step hybrid method of explicit type
                                  for solving orbital and oscillatory
                                  problems . . . . . . . . . . . . . . . . 243--262
              Ya-zheng Dang and   
                   Jian Yao and   
                        Yan Gao   Relaxed two points projection method for
                                  solving the multiple-sets split equality
                                  problem  . . . . . . . . . . . . . . . . 263--275
                 Qing Zhang and   
                  Haiyan Su and   
                   Xinlong Feng   A partitioned finite element scheme
                                  based on Gauge--Uzawa method for
                                  time-dependent MHD equations . . . . . . 277--295
             Zheng-Ge Huang and   
               Li-Gong Wang and   
                   Zhong Xu and   
                  Jing-Jing Cui   A modified generalized shift-splitting
                                  preconditioner for nonsymmetric saddle
                                  point problems . . . . . . . . . . . . . 297--331
     Massimiliano Ferronato and   
                   Giorgio Pini   A supernodal block factorized sparse
                                  approximate inverse for non-symmetric
                                  linear systems . . . . . . . . . . . . . 333--354

Numerical Algorithms
Volume 78, Number 2, June, 2018

Diana Estévez Schwarz and   
             René Lamour   A new approach for computing consistent
                                  initial values and Taylor coefficients
                                  for DAEs using projector-based
                                  constrained optimization . . . . . . . . 355--377
           Zhao-Zheng Liang and   
                 Guo-Feng Zhang   Semi-convergence analysis of
                                  preconditioned deteriorated PSS
                                  iteration method for singular saddle
                                  point problems . . . . . . . . . . . . . 379--404
               P. Bakhtiari and   
              S. Abbasbandy and   
               R. A. Van Gorder   Solving the Dym initial value problem in
                                  reproducing kernel space . . . . . . . . 405--421
             Evgenija D. Popova   Enclosing the solution set of parametric
                                  interval matrix equation $ A(p) X = B(p)
                                  $  . . . . . . . . . . . . . . . . . . . 423--447
              Laurent Gajny and   
             Olivier Gibaru and   
                     Eric Nyiri   $ L_1 $ spline fits via sliding window
                                  process: continuous and discrete cases   449--464
                Xiaowei Liu and   
                      Jin Zhang   Pointwise estimates of SDFEM on Shishkin
                                  triangular meshes for problems with
                                  characteristic layers  . . . . . . . . . 465--483
                    Pin Lyu and   
                  Seakweng Vong   A linearized second-order scheme for
                                  nonlinear time fractional Klein--Gordon
                                  type equations . . . . . . . . . . . . . 485--511
                    Si Wang and   
             Ting-Zhu Huang and   
                 Xi-Le Zhao and   
                Jin-Jin Mei and   
                      Jie Huang   Speckle noise removal in ultrasound
                                  images by first- and second-order total
                                  variation  . . . . . . . . . . . . . . . 513--533
         M. Sayadi Shahraki and   
                H. Mansouri and   
              M. Zangiabadi and   
               N. Mahdavi-Amiri   A wide neighborhood primal-dual
                                  predictor-corrector interior-point
                                  method for symmetric cone optimization   535--552
                     Hao Li and   
                      Yidu Yang   $ C^0 $ IPG adaptive algorithms for the
                                  biharmonic eigenvalue problem  . . . . . 553--567
                Yun-Bo Yang and   
                  Yao-Lin Jiang   An explicitly uncoupled VMS
                                  stabilization finite element method for
                                  the time-dependent Darcy--Brinkman
                                  equations in double-diffusive convection 569--597
                   Qian Guo and   
                Xuerong Mao and   
                   Rongxian Yue   The truncated Euler--Maruyama method for
                                  stochastic differential delay equations  599--624
             A. Galántai   Always convergent methods for nonlinear
                                  equations of several variables . . . . . 625--641
                 X. Y. Xiao and   
                        X. Wang   A new single-step iteration method for
                                  solving complex symmetric linear systems 643--660
             Giampietro Allasia   Remarkable Haar spaces of multivariate
                                  piecewise polynomials  . . . . . . . . . 661--672

Numerical Algorithms
Volume 78, Number 3, July, 2018

                  Jiyong Li and   
                  Shuo Deng and   
                   Xianfen Wang   Extended explicit pseudo two-step RKN
                                  methods for oscillatory systems $ y'' +
                                  M y = f(y) $ . . . . . . . . . . . . . . 673--700
       Erna Begovi\'c Kovac and   
                    Vjeran Hari   Jacobi method for symmetric $ 4 \times 4
                                  $ matrices converges for every cyclic
                                  pivot strategy . . . . . . . . . . . . . 701--720
               Wenling Zhao and   
               Changyu Wang and   
                      Yajing Gu   On the convergence of $s$-dependent GFR
                                  conjugate gradient method for
                                  unconstrained optimization . . . . . . . 721--738
         Abdellatif Moudafi and   
                    Aviv Gibali   $ l_1 $--$ l_2 $ regularization of split
                                  feasibility problems . . . . . . . . . . 739--757
              Roger Behling and   
José Yunier Bello Cruz and   
             Luiz-Rafael Santos   Circumcentering the Douglas--Rachford
                                  method . . . . . . . . . . . . . . . . . 759--776
                A. Ben Abda and   
                      F. Khayat   Missing boundary data recovery using
                                  Nash games: the Stokes system  . . . . . 777--803
                  Anat Amir and   
                    David Levin   Quasi-interpolation and outliers removal 805--825
       Nuttapol Pakkaranang and   
                 Poom Kumam and   
                    Yeol Je Cho   Proximal point algorithms for solving
                                  convex minimization problem and common
                                  fixed points problem of asymptotically
                                  quasi-nonexpansive mappings in CAT(0)
                                  spaces with convergence analysis . . . . 827--845
      Miodrag S. Petkovi\'c and   
         Ljiljana D. Petkovi\'c   Dynamic study of Schröder's families of
                                  first and second kind  . . . . . . . . . 847--865
               Fayyaz Ahmad and   
     Eman Salem Al-Aidarous and   
    Dina Abdullah Alrehaili and   
     Sven-Erik Ekström and   
             Isabella Furci and   
        Stefano Serra-Capizzano   Are the eigenvalues of preconditioned
                                  banded symmetric Toeplitz matrices known
                                  in almost closed form? . . . . . . . . . 867--893
             Jian-Jun Zhang and   
              Jian-Li Zhang and   
                    Wan-Zhou Ye   An inexact alternating direction method
                                  of multipliers for the solution of
                                  linear complementarity problems arising
                                  from free boundary problems  . . . . . . 895--910
        Saman Babaie-Kafaki and   
                   Saeed Rezaee   Two accelerated nonmonotone adaptive
                                  trust region line search methods . . . . 911--928
            Rainer Hartmann and   
               Christoph Pflaum   A prewavelet-based algorithm for the
                                  solution of second-order elliptic
                                  differential equations with variable
                                  coefficients on sparse grids . . . . . . 929--956
   S. González-Pinto and   
                  E. Hairer and   
  D. Hernández-Abreu and   
S. Pérez-Rodríguez   PDE-W-methods for parabolic problems
                                  with mixed derivatives . . . . . . . . . 957--981
             David A. Brown and   
                 Siva Nadarajah   Inexactly constrained discrete adjoint
                                  approach for steepest descent-based
                                  optimization algorithms  . . . . . . . . 983--1000

Numerical Algorithms
Volume 78, Number 4, August, 2018

            Florian Bünger   Shrink wrapping for Taylor models
                                  revisited  . . . . . . . . . . . . . . . 1001--1017
     Pongsakorn Sunthrayuth and   
              Prasit Cholamjiak   Iterative methods for solving
                                  quasi-variational inclusion and fixed
                                  point problem in $q$-uniformly smooth
                                  Banach spaces  . . . . . . . . . . . . . 1019--1044
           Duong Viet Thong and   
                  Dang Van Hieu   Weak and strong convergence theorems for
                                  variational inequality problems  . . . . 1045--1060
               Ambit Kumar Pany   Fully discrete second-order backward
                                  difference method for Kelvin--Voigt
                                  fluid flow model . . . . . . . . . . . . 1061--1086
       Tatjana V. Tomovi\'c and   
             Marija P. Stani\'c   Construction of the optimal set of two
                                  or three quadrature rules in the sense
                                  of Borges  . . . . . . . . . . . . . . . 1087--1109
   R. Díaz Millán   Two algorithms for solving systems of
                                  inclusion problems . . . . . . . . . . . 1111--1127
                Tony Stillfjord   Adaptive high-order splitting schemes
                                  for large-scale differential Riccati
                                  equations  . . . . . . . . . . . . . . . 1129--1151
           Zeynab Jouymandi and   
               Fridoun Moradlou   Retraction algorithms for solving
                                  variational inequalities, pseudomonotone
                                  equilibrium problems, and fixed-point
                                  problems in Banach spaces  . . . . . . . 1153--1182
              Lubomir Kolev and   
                   Iwona Skalna   Exact solution to a parametric linear
                                  programming problem  . . . . . . . . . . 1183--1194
                 Yanzhi Liu and   
              Jason Roberts and   
                      Yubin Yan   Detailed error analysis for a fractional
                                  Adams method with graded meshes  . . . . 1195--1216
                 Jifeng Cui and   
                Wenyu Zhang and   
                   Zeng Liu and   
                  Jianglong Sun   On the limit cycles, period-doubling,
                                  and quasi-periodic solutions of the
                                  forced Van der Pol--Duffing oscillator   1217--1231
                    Chao Gu and   
                 Detong Zhu and   
                   Yonggang Pei   A new inexact SQP algorithm for
                                  nonlinear systems of mixed equalities
                                  and inequalities . . . . . . . . . . . . 1233--1253
               Shengwei Yao and   
                 Donglei He and   
                      Lihua Shi   An improved Perry conjugate gradient
                                  method with adaptive parameter choice    1255--1269
               Baohua Huang and   
                   Changfeng Ma   An iterative algorithm for the least
                                  Frobenius norm Hermitian and generalized
                                  skew Hamiltonian solutions of the
                                  generalized coupled Sylvester-conjugate
                                  matrix equations . . . . . . . . . . . . 1271--1301
             David A. Brown and   
                 David W. Zingg   Matrix-free monolithic homotopy
                                  continuation with application to
                                  computational aerodynamics . . . . . . . 1303--1320


Numerical Algorithms
Volume 79, Number 1, September, 2018

                Constantin Popa   Convergence rates for Kaczmarz-type
                                  algorithms . . . . . . . . . . . . . . . 1--17
             F. A. Abdullah and   
                     F. Liu and   
                 P. Burrage and   
                 K. Burrage and   
                          T. Li   Novel analytical and numerical
                                  techniques for fractional temporal SEIR
                                  measles model  . . . . . . . . . . . . . 19--40
                   Na Huang and   
                  Chang-Feng Ma   On the eigenvalues of the saddle point
                                  matrices discretized from Navier--Stokes
                                  equations  . . . . . . . . . . . . . . . 41--64
            Sandra Buhmiler and   
            Sanja Rapaji\'c and   
            Slavica Medi\'c and   
                Tatjana Grbi\'c   Finite-difference method for singular
                                  nonlinear systems  . . . . . . . . . . . 65--86
          Andrzej Marciniak and   
        Malgorzata A. Jankowska   Interval versions of Milne's multistep
                                  methods  . . . . . . . . . . . . . . . . 87--105
       Per Christian Hansen and   
   Jakob Sauer Jòrgensen   AIR Tools II: algebraic iterative
                                  reconstruction methods, improved
                                  implementation . . . . . . . . . . . . . 107--137
              Pham Ngoc Anh and   
             Tran T. H. Anh and   
                 Nguyen D. Hien   Modified basic projection methods for a
                                  class of equilibrium problems  . . . . . 139--152
              Bao-Hua Huang and   
                  Chang-Feng Ma   Some iterative methods for the largest
                                  positive definite solution to a class of
                                  nonlinear matrix equation  . . . . . . . 153--178
                    Moosa Ebadi   New class of hybrid BDF methods for the
                                  computation of numerical solutions of
                                  IVPs . . . . . . . . . . . . . . . . . . 179--193
                    Ming Li and   
                Hongwei Liu and   
                     Zexian Liu   A new subspace minimization conjugate
                                  gradient method with nonmonotone line
                                  search for unconstrained optimization    195--219
                    Vjeran Hari   Globally convergent Jacobi methods for
                                  positive definite matrix pairs . . . . . 221--249
        Abdulrahman Karouma and   
           Truong Nguyen-Ba and   
           Thierry Giordano and   
       Rémi Vaillancourt   A new class of efficient one-step
                                  contractivity preserving high-order time
                                  discretization methods of order 5 to 14  251--280
       Thái Anh Nhan and   
           Scott MacLachlan and   
                   Niall Madden   Boundary layer preconditioners for
                                  finite-element discretizations of
                                  singularly perturbed reaction--diffusion
                                  problems . . . . . . . . . . . . . . . . 281--310
              E. Jarlebring and   
                 A. Koskela and   
                        G. Mele   Disguised and new quasi-Newton methods
                                  for nonlinear eigenvalue problems  . . . 311--335
                  Hui Zhang and   
              Xiaoyun Jiang and   
                   Chu Wang and   
                    Wenping Fan   Galerkin--Legendre spectral schemes for
                                  nonlinear space fractional Schrödinger
                                  equation . . . . . . . . . . . . . . . . 337--356

Numerical Algorithms
Volume 79, Number 2, October, 2018

              Minoo Kamrani and   
                 Nahid Jamshidi   Implicit Milstein method for stochastic
                                  differential equations via the
                                  Wong--Zakai approximation  . . . . . . . 357--374
               Weiping Shen and   
                  Yaohua Hu and   
                   Chong Li and   
                   Jen-Chih Yao   Convergence of a Ulm-like method for
                                  square inverse singular value problems
                                  with multiple and zero singular values   375--398
       Andreas Karageorghis and   
    Malgorzata A. Jankowska and   
                     C. S. Chen   Kansa--RBF algorithms for elliptic
                                  problems in regular polygonal domains    399--421
             Ulises Fidalgo and   
  Erwin Miña-Díaz   Convergent interpolatory quadrature
                                  rules and orthogonal polynomials of
                                  varying measures . . . . . . . . . . . . 423--435
               Zhaojie Zhou and   
                 Chenyang Zhang   Time-stepping discontinuous Galerkin
                                  approximation of optimal control problem
                                  governed by time fractional diffusion
                                  equation . . . . . . . . . . . . . . . . 437--455
     João R. Cardoso and   
                   Amir Sadeghi   Conditioning of the matrix--matrix
                                  exponentiation . . . . . . . . . . . . . 457--477
        A. S. V. Ravi Kanth and   
                Deepika Sirswal   Analysis and numerical simulation for a
                                  class of time fractional diffusion
                                  equation via tension spline  . . . . . . 479--497
                K. R. Kazmi and   
                  Rehan Ali and   
                    Mohd Furkan   Hybrid iterative method for split
                                  monotone variational inclusion problem
                                  and hierarchical fixed point problem for
                                  a finite family of nonexpansive mappings 499--527
               Yekini Shehu and   
              Olaniyi S. Iyiola   Iterative algorithms for solving fixed
                                  point problems and variational
                                  inequalities with uniformly continuous
                                  monotone operators . . . . . . . . . . . 529--553
               Conor McCoid and   
             Manfred R. Trummer   Preconditioning of spectral methods via
                                  Birkhoff interpolation . . . . . . . . . 555--573
           Zhao-Zheng Liang and   
               Owe Axelsson and   
                 Maya Neytcheva   A robust structured preconditioner for
                                  time-harmonic parabolic optimal control
                                  problems . . . . . . . . . . . . . . . . 575--596
           Duong Viet Thong and   
                  Dang Van Hieu   Modified subgradient extragradient
                                  method for variational inequality
                                  problems . . . . . . . . . . . . . . . . 597--610
             M. C. De Bonis and   
                     C. Laurita   On the stability of a modified Nyström
                                  method for Mellin convolution equations
                                  in weighted spaces . . . . . . . . . . . 611--631
         Miroslav S. Petrov and   
               Todor D. Todorov   Stable subdivision of $4$D polytopes . . 633--656
                     Wen Li and   
                Yanmei Chen and   
              Seakweng Vong and   
                      Qilun Luo   Some refined bounds for the perturbation
                                  of the orthogonal projection and the
                                  generalized inverse  . . . . . . . . . . 657--677

Numerical Algorithms
Volume 79, Number 3, November, 2018

           Mojtaba Hajipour and   
               Amin Jajarmi and   
                Dumitru Baleanu   On the accurate discretization of a
                                  highly nonlinear boundary value problem  679--695
               Mahboub Baccouch   A superconvergent local discontinuous
                                  Galerkin method for nonlinear two-point
                                  boundary-value problems  . . . . . . . . 697--718
                  Xiulin Hu and   
                 Yuhao Cong and   
                    Guang-Da Hu   Delay-dependent stability of linear
                                  multistep methods for DAEs with multiple
                                  delays . . . . . . . . . . . . . . . . . 719--739
                  M. Hached and   
                      K. Jbilou   Numerical solutions to large-scale
                                  differential Lyapunov matrix equations   741--757
                Walter Gautschi   On the zeros of subrange Jacobi
                                  polynomials  . . . . . . . . . . . . . . 759--768
          Milena Petrovi\'c and   
       Vladimir Rakocevi\'c and   
             Natasa Kontrec and   
             Stefan Pani\'c and   
                   Dejan Ili\'c   Hybridization of accelerated gradient
                                  descent method . . . . . . . . . . . . . 769--786
            Th. Monovasilis and   
             Z. Kalogiratou and   
                    T. E. Simos   Trigonometrical fitting conditions for
                                  two derivative Runge--Kutta methods  . . 787--800
Kanokwan Sitthithakerngkiet and   
             Jitsupa Deepho and   
Juan Martínez-Moreno and   
                     Poom Kumam   Convergence analysis of a general
                                  iterative algorithm for finding a common
                                  solution of split variational inclusion
                                  and optimization problems  . . . . . . . 801--824
Marie Kubínová and   
                  James G. Nagy   Robust regression for mixed
                                  Poisson--Gaussian model  . . . . . . . . 825--851
                  X. G. Zhu and   
                 Z. B. Yuan and   
                     F. Liu and   
                      Y. F. Nie   Differential quadrature method for
                                  space-fractional diffusion equations on
                                  $2$D irregular domains . . . . . . . . . 853--877
            Pedro R. S. Antunes   A numerical algorithm to reduce
                                  ill-conditioning in meshless methods for
                                  the Helmholtz equation . . . . . . . . . 879--897
                Dongdong He and   
                      Kejia Pan   An unconditionally stable linearized
                                  difference scheme for the fractional
                                  Ginzburg--Landau equation  . . . . . . . 899--925
               Qiao-Li Dong and   
                  Dan Jiang and   
                    Aviv Gibali   A modified subgradient extragradient
                                  method for solving the variational
                                  inequality problem . . . . . . . . . . . 927--940
                Lixin Zhang and   
              Changjie Fang and   
                  Shenglan Chen   An inertial subgradient-type method for
                                  solving single-valued variational
                                  inequalities and fixed point problems    941--956
                        Y. Yang   Two computationally efficient
                                  polynomial-iteration infeasible
                                  interior-point algorithms for linear
                                  programming  . . . . . . . . . . . . . . 957--992

Numerical Algorithms
Volume 79, Number 4, December, 2018

                   Qiang Yu and   
                    Hang Xu and   
                    Shijun Liao   Coiflets solutions for Föppl--von Kármán
                                  equations governing large deflection of
                                  a thin flat plate by a novel
                                  wavelet-homotopy approach  . . . . . . . 993--1020
                N. Aslimani and   
                      R. Ellaia   A new chaos optimization algorithm based
                                  on symmetrization and levelling
                                  approaches for global optimization . . . 1021--1047
                  Ya-Min Li and   
                   Xue-Ping Guo   On the accelerated modified Newton--HSS
                                  method for systems of nonlinear
                                  equations  . . . . . . . . . . . . . . . 1049--1073
               Kathy Driver and   
                Kerstin Jordaan   Zeros of Jacobi polynomials $
                                  P_n^{(\alpha, \beta)} $, $ - 2 < \alpha
                                  $, $ \beta < - 1 $  . . . . . . . . . . . 1075--1085
              Yao-Lin Jiang and   
                      Zhen Miao   Waveform relaxation of partial
                                  differential equations . . . . . . . . . 1087--1106
                  Xiaoli Li and   
                   Hongxing Rui   Two temporal second-order $ H^1
                                  $-Galerkin mixed finite element schemes
                                  for distributed-order fractional
                                  sub-diffusion equations  . . . . . . . . 1107--1130
                Xianping Wu and   
               Xiaofei Peng and   
                         Wen Li   A preconditioned general modulus-based
                                  matrix splitting iteration method for
                                  linear complementarity problems of
                                  $H$-matrices . . . . . . . . . . . . . . 1131--1146
             Jennifer Scott and   
                  Miroslav Tuma   A Schur complement approach to
                                  preconditioning sparse linear
                                  least-squares problems with some dense
                                  rows . . . . . . . . . . . . . . . . . . 1147--1168
        Ioannis E. Livieris and   
          Vassilis Tampakas and   
            Panagiotis Pintelas   A descent hybrid conjugate gradient
                                  method based on the memoryless BFGS
                                  update . . . . . . . . . . . . . . . . . 1169--1185
                C. A. Arias and   
          J. M. Martínez   Fast convergence of an inexact interior
                                  point method for horizontal
                                  complementarity problems . . . . . . . . 1187--1210
                   Sean Hon and   
                  Andrew Wathen   Circulant preconditioners for analytic
                                  functions of Toeplitz matrices . . . . . 1211--1230
                 Haitao Che and   
                Haibin Chen and   
                      Meixia Li   A new simultaneous iterative method with
                                  a parameter for solving the extended
                                  split equality problem and the extended
                                  split equality fixed point problem . . . 1231--1256
              M. El Moudden and   
                    A. El Ghali   Multiple reduced gradient method for
                                  multiobjective optimization problems . . 1257--1282
                  Yi-Fen Ke and   
              Chang-Feng Ma and   
                     Huai Zhang   The modulus-based matrix splitting
                                  iteration methods for second-order cone
                                  linear complementarity problems  . . . . 1283--1303
                Linsen Song and   
                        Yan Gao   A smoothing Levenberg--Marquardt method
                                  for nonlinear complementarity problems   1305--1321


Numerical Algorithms
Volume 80, Number 1, January, 2019

                     G. Meurant   Preface  . . . . . . . . . . . . . . . . 1--3
                   C. Brezinski   Reminiscences of Peter Wynn  . . . . . . 5--10
           Claude Brezinski and   
          Michela Redivo-Zaglia   The genesis and early developments of
                                  Aitken's process, Shanks'
                                  transformation, the $ \epsilon
                                  $-algorithm, and related fixed point
                                  methods  . . . . . . . . . . . . . . . . 11--133
          Donald G. M. Anderson   Comments on ``Anderson Acceleration,
                                  Mixing and Extrapolation'' . . . . . . . 135--234
        Hervé Le Ferrand   The rational iteration method by Georges
                                  Lema\^\itre  . . . . . . . . . . . . . . 235--251
       Abderrahim Messaoudi and   
          Mohammed Errachid and   
             Khalide Jbilou and   
                  Hassane Sadok   GRPIA: a new algorithm for computing
                                  interpolation polynomials  . . . . . . . 253--278
              Walter Gander and   
                     Qiquan Shi   Matrix completion with $e$-algorithm . . 279--301
                     G. Meurant   Postface . . . . . . . . . . . . . . . . 303--303

Numerical Algorithms
Volume 80, Number 2, February, 2019

                    Ke Chen and   
    Geovani Nunes Grapiglia and   
                Jinyun Yuan and   
                  Daoping Zhang   Improved optimization methods for image
                                  registration problems  . . . . . . . . . 305--336
             Cheng-Liang Li and   
                  Chang-Feng Ma   Efficient parameterized rotated
                                  shift-splitting preconditioner for a
                                  class of complex symmetric linear
                                  systems  . . . . . . . . . . . . . . . . 337--354
              Min-Hong Chen and   
                   Qing-Biao Wu   Modified Newton--MDPMHSS method for
                                  solving nonlinear systems with block
                                  two-by-two complex symmetric Jacobian
                                  matrices . . . . . . . . . . . . . . . . 355--375
       Herman D. Schaumburg and   
           Afnan Al Marzouk and   
                   Bela Erdelyi   Picard iteration-based variable-order
                                  integrator with dense output employing
                                  algorithmic differentiation  . . . . . . 377--396
                    Jian Lv and   
               Li-Ping Pang and   
                      Na Xu and   
                    Ze-Hao Xiao   An infeasible bundle method for
                                  nonconvex constrained optimization with
                                  application to semi-infinite programming
                                  problems . . . . . . . . . . . . . . . . 397--427
                Guangzhi Du and   
                      Liyun Zuo   A two-grid parallel partition of unity
                                  finite element scheme  . . . . . . . . . 429--445
            Mireille Haddad and   
Frédéric Hecht and   
                 Toni Sayah and   
          Pierre Henri Tournier   Parallel computing investigations for
                                  the projection method applied to the
                                  interface transport scheme of a
                                  two-phase flow by the method of
                                  characteristics  . . . . . . . . . . . . 447--467
                  Zhencheng Fan   Convergence of discrete time waveform
                                  relaxation methods . . . . . . . . . . . 469--483
             Zheng-Ge Huang and   
               Li-Gong Wang and   
                   Zhong Xu and   
                  Jing-Jing Cui   Modified PHSS iterative methods for
                                  solving nonsingular and singular saddle
                                  point problems . . . . . . . . . . . . . 485--519
   M. García-Esnaola and   
              J. M. Peña   On the asymptotic optimality of error
                                  bounds for some linear complementarity
                                  problems . . . . . . . . . . . . . . . . 521--532
                   Yang Liu and   
                  Yanwei Du and   
                    Hong Li and   
                 Fawang Liu and   
                     Yajun Wang   Some second-order $ \theta $ schemes
                                  combined with finite element method for
                                  nonlinear fractional cable equation  . . 533--555
                 Ali Shokri and   
Mohammad Mehdizadeh Khalsaraei and   
         Mortaza Tahmourasi and   
            Raquel Garcia-Rubio   A new family of three-stage two-step
                                  P-stable multiderivative methods with
                                  vanished phase-lag and some of its
                                  derivatives for the numerical solution
                                  of radial Schrödinger equation and IVPs
                                  with oscillating solutions . . . . . . . 557--593
               Chun-Hua Guo and   
                Wen-Wei Lin and   
                 Ching-Sung Liu   A modified Newton iteration for finding
                                  nonnegative $Z$-eigenpairs of a
                                  nonnegative tensor . . . . . . . . . . . 595--616
                Songnian He and   
                    Hanlin Tian   Selective projection methods for solving
                                  a class of variational inequalities  . . 617--634
Rafael Rodríguez-Sánchez and   
      Sandra Catalán and   
     José R. Herrero and   
Enrique S. Quintana-Ortí and   
  Andrés E. Tomás   Look-ahead in the two-sided reduction to
                                  compact band forms for symmetric
                                  eigenvalue problems and the SVD  . . . . 635--660
             Aicke Hinrichs and   
              Peter Kritzer and   
   Friedrich Pillichshammer and   
              G. W. Wasilkowski   Truncation dimension for linear problems
                                  on multivariate function spaces  . . . . 661--685

Numerical Algorithms
Volume 80, Number 3, March, 2019

              Michael K. Ng and   
                   Zhaochen Zhu   Sparse matrix computation for air
                                  quality forecast data assimilation . . . 687--707
              Xiaohong Chen and   
               Xiufang Feng and   
                      Zhilin Li   A direct method for accurate solution
                                  and gradient computations for elliptic
                                  interface problems . . . . . . . . . . . 709--740
                   Jun Yang and   
                    Hongwei Liu   Strong convergence result for solving
                                  monotone variational inequalities in
                                  Hilbert space  . . . . . . . . . . . . . 741--752
          Eugeniusz Zieniuk and   
           Krzysztof Szersze\'n   A separation between the boundary shape
                                  and the boundary functions in the
                                  parametric integral equation system for
                                  the $3$D Stokes equation . . . . . . . . 753--780
                     Caili Sang   A new Brauer-type $Z$-eigenvalue
                                  inclusion set for tensors  . . . . . . . 781--794
               M. H. Annaby and   
                  M. M. Tharwat   Sinc-regularized techniques to compute
                                  eigenvalues of Schrödinger operators on $
                                  L^2 (I) \oplus \mathbb {C}^2 $ . . . . . 795--817
     Sven-Erik Ekström and   
                   Carlo Garoni   A matrix-less and parallel
                                  interpolation-extrapolation algorithm
                                  for computing the eigenvalues of
                                  preconditioned banded symmetric Toeplitz
                                  matrices . . . . . . . . . . . . . . . . 819--848
             Haixiang Zhang and   
                Xuehua Yang and   
                          Da Xu   A high-order numerical method for
                                  solving the $2$D fourth-order
                                  reaction--diffusion equation . . . . . . 849--877
                Anna Concas and   
              Caterina Fenu and   
             Giuseppe Rodriguez   \pkgPQser: a Matlab package for spectral
                                  seriation  . . . . . . . . . . . . . . . 879--902
                Sergio Amat and   
                  Juan Ruiz and   
                 Juan C. Trillo   On an algorithm to adapt spline
                                  approximations to the presence of
                                  discontinuities  . . . . . . . . . . . . 903--936
             Xiao Shan Chen and   
             Seak-Weng Vong and   
                     Wen Li and   
                     Hongguo Xu   Noda iterations for generalized
                                  eigenproblems following
                                  Perron--Frobenius theory . . . . . . . . 937--955
                  Jan Vlcek and   
                Ladislav Luksan   Properties of the block BFGS update and
                                  its application to the limited-memory
                                  block BNS method for unconstrained
                                  minimization . . . . . . . . . . . . . . 957--987
               Minghua Chen and   
                     Wenshan Yu   Energy estimates for two-dimensional
                                  space-Riesz fractional wave equation . . 989--1014
               Xing Hui Gao and   
                 Le Rong Ma and   
                   Hai Yun Zhou   Three kinds of hybrid algorithms and
                                  their numerical realizations for a
                                  finite family of quasi-asymptotically
                                  pseudocontractive mappings . . . . . . . 1015--1035
                 V. Dhanush and   
                   S. Natarajan   Implementation of the virtual element
                                  method for coupled thermo-elasticity in
                                  Abaqus . . . . . . . . . . . . . . . . . 1037--1058
      M. Malzoumati-Khiaban and   
         A. Foroush Bastani and   
                 M. R. Yaghouti   Long-term adaptive symplectic numerical
                                  integration of linear stochastic
                                  oscillators driven by additive white
                                  noise  . . . . . . . . . . . . . . . . . 1059--1095

Numerical Algorithms
Volume 80, Number 4, April, 2019

                 C. Clavero and   
                   J. L. Gracia   Uniformly convergent additive schemes
                                  for $2$ d singularly perturbed parabolic
                                  systems of reaction--diffusion type  . . 1097--1120
                Yangyang Xu and   
               Ruijuan Zhao and   
                     Bing Zheng   Some criteria for identifying strong $
                                  \mathcal {H} $-tensors . . . . . . . . . 1121--1141
                Li-Dan Liao and   
                 Guo-Feng Zhang   A note on block diagonal and block
                                  triangular preconditioners for complex
                                  symmetric linear systems . . . . . . . . 1143--1154
        G. Zamani Eskandani and   
                      M. Raeisi   On the zero point problem of monotone
                                  operators in Hadamard spaces . . . . . . 1155--1179
                 Gaohang Yu and   
               Yisheng Song and   
                      Yi Xu and   
                      Zefeng Yu   Spectral projected gradient methods for
                                  generalized tensor eigenvalue
                                  complementarity problems . . . . . . . . 1181--1201
                  Zhaoli Ma and   
                   Lin Wang and   
                 Shih-sen Chang   On the split feasibility problem and
                                  fixed point problem of quasi-$ \varphi
                                  $-nonexpansive mapping in Banach spaces  1203--1218
                Yair Censor and   
              Howard Heaton and   
               Reinhard Schulte   Derivative-free superiorization with
                                  component-wise perturbations . . . . . . 1219--1240
                 Luca Dieci and   
          Alessandra Papini and   
            Alessandro Pugliese   Coalescing points for eigenvalues of
                                  banded matrices depending on parameters
                                  with application to banded random matrix
                                  functions  . . . . . . . . . . . . . . . 1241--1266
            Philip A. Ernst and   
            Fazlollah Soleymani   A Legendre-based computational method
                                  for solving a class of Itô stochastic
                                  delay differential equations . . . . . . 1267--1282
           Duong Viet Thong and   
                  Dang Van Hieu   Inertial subgradient extragradient
                                  algorithms with line-search process for
                                  solving variational inequality problems
                                  and fixed point problems . . . . . . . . 1283--1307
              Leila Lebtahi and   
        Óscar Romero and   
            Néstor Thome   Further results on generalized
                                  centro-invertible matrices . . . . . . . 1309--1328
                      Yao Cheng   Optimal error estimate of the local
                                  discontinuous Galerkin methods based on
                                  the generalized alternating numerical
                                  fluxes for nonlinear
                                  convection-diffusion equations . . . . . 1329--1359
                 Stefan Metzger   On stable, dissipation reducing
                                  splitting schemes for two-phase flow of
                                  electrolyte solutions  . . . . . . . . . 1361--1390
                   Ping Guo and   
                   Chong-Jun Li   Almost sure stability with general decay
                                  rate of exact and numerical solutions
                                  for stochastic pantograph differential
                                  equations  . . . . . . . . . . . . . . . 1391--1411
                  Dang Van Hieu   New inertial algorithm for a class of
                                  equilibrium problems . . . . . . . . . . 1413--1436
               Maolin Liang and   
                 Bing Zheng and   
                   Ruijuan Zhao   Alternating iterative methods for
                                  solving tensor equations with
                                  applications . . . . . . . . . . . . . . 1437--1465


Numerical Algorithms
Volume 81, Number 1, May, 2019

  Carolina Vittoria Beccari and   
            Giulio Casciola and   
          Marie-Laurence Mazure   Design or not design? A numerical
                                  characterisation for piecewise
                                  Chebyshevian splines . . . . . . . . . . 1--31
             Guangxin Huang and   
             Lothar Reichel and   
                       Feng Yin   On the choice of subspace for
                                  large-scale Tikhonov regularization
                                  problems in general form . . . . . . . . 33--55
           S. S. Ezz-Eldien and   
                     E. H. Doha   Fast and precise spectral method for
                                  solving pantograph type Volterra
                                  integro-differential equations . . . . . 57--77
  Fermin S. V. Bazán and   
                   J. R. Quiroz   Galerkin approach for estimating
                                  boundary data in Poisson equation on
                                  annular domain with application to heat
                                  transfer coefficient estimation in
                                  coiled tubes . . . . . . . . . . . . . . 79--98
            Keerati Siriyan and   
             Atid Kangtunyakarn   A new general system of variational
                                  inequalities for convergence theorem and
                                  application  . . . . . . . . . . . . . . 99--123
                Vijay Gupta and   
              Gancho Tachev and   
                  Ana-Maria Acu   Modified Kantorovich operators with
                                  better approximation properties  . . . . 125--149
               Andreas Potschka   Backward step control for Hilbert space
                                  problems . . . . . . . . . . . . . . . . 151--180
           Robert A. Van Gorder   Optimal homotopy analysis and control of
                                  error for implicitly defined fully
                                  nonlinear differential equations . . . . 181--196
        Auwal Bala Abubakar and   
                     Poom Kumam   A descent Dai--Liao conjugate gradient
                                  method for nonlinear equations . . . . . 197--210
               Gwanghyun Jo and   
                     Do Y. Kwak   Geometric multigrid algorithms for
                                  elliptic interface problems using
                                  structured grids . . . . . . . . . . . . 211--235
           Samad Noeiaghdam and   
Mohammad Ali Fariborzi Araghi and   
               Saeid Abbasbandy   Finding optimal convergence control
                                  parameter in the homotopy analysis
                                  method to solve integral equations based
                                  on the stochastic arithmetic . . . . . . 237--267
              Phan Tu Vuong and   
                   Yekini Shehu   Convergence of an extragradient-type
                                  method for variational inequality with
                                  applications to optimal control problems 269--291
             Rashad M. Asharabi   The use of the sinc-Gaussian sampling
                                  formula for approximating the
                                  derivatives of analytic functions  . . . 293--312
           Kendall Atkinson and   
                David Chien and   
                    Olaf Hansen   A spectral method for an elliptic
                                  equation with a nonlinear Neumann
                                  boundary condition . . . . . . . . . . . 313--344
             Luigi Brugnano and   
          Juan I. Montijano and   
             Luis Rández   On the effectiveness of spectral methods
                                  for the numerical solution of
                                  multi-frequency highly oscillatory
                                  Hamiltonian problems . . . . . . . . . . 345--376
               Baohua Huang and   
                   Changfeng Ma   Finite iterative algorithm for the
                                  symmetric periodic least squares
                                  solutions of a class of periodic
                                  Sylvester matrix equations . . . . . . . 377--406

Numerical Algorithms
Volume 81, Number 2, June, 2019

               Mingyuan Cao and   
              Qingdao Huang and   
                   Yueting Yang   A self-adaptive trust region method for
                                  extreme $ \mathcal {B}$-eigenvalues of
                                  symmetric tensors  . . . . . . . . . . . 407--420
                   Na Huang and   
                  Chang-Feng Ma   Spectral analysis of the preconditioned
                                  system for the $ 3 \times 3 $ block
                                  saddle point problem . . . . . . . . . . 421--444
                    M. Zhao and   
                      H. Wu and   
                       C. Xiong   Error analysis of HDG approximations for
                                  elliptic variational inequality:
                                  obstacle problem . . . . . . . . . . . . 445--463
                Pratibhamoy Das   An a posteriori based convergence
                                  analysis for a nonlinear singularly
                                  perturbed system of delay differential
                                  equations on an adaptive mesh  . . . . . 465--487
                 Yuan-Ming Wang   A Crank--Nicolson-type compact
                                  difference method and its extrapolation
                                  for time fractional Cattaneo
                                  convection-diffusion equations with
                                  smooth solutions . . . . . . . . . . . . 489--527
                 Weiping Bu and   
                     Aiguo Xiao   An $h$--$p$ version of the continuous
                                  Petrov--Galerkin finite element method
                                  for Riemann--Liouville fractional
                                  differential equation with novel test
                                  basis functions  . . . . . . . . . . . . 529--545
             Mykhailo Kuian and   
             Lothar Reichel and   
         Sergij V. Shiyanovskii   Fast factorization of rectangular
                                  Vandermonde matrices with Chebyshev
                                  nodes  . . . . . . . . . . . . . . . . . 547--559
               Yunong Zhang and   
                 Zhiyuan Qi and   
                    Jian Li and   
                 Binbin Qiu and   
                       Min Yang   Stepsize domain confirmation and optimum
                                  of ZeaD formula for future optimization  561--574
                 Neculai Andrei   A diagonal quasi-Newton updating method
                                  for unconstrained optimization . . . . . 575--590
                    Rafal Nowak   Convergence acceleration of alternating
                                  series . . . . . . . . . . . . . . . . . 591--608
                    Jian Li and   
                Mingzhi Mao and   
                Frank Uhlig and   
                   Yunong Zhang   A $5$-instant finite difference formula
                                  to find discrete time-varying
                                  generalized matrix inverses, matrix
                                  inverses, and scalar reciprocals . . . . 609--629
                    Tao Sun and   
             Roberto Barrio and   
                  Hao Jiang and   
                    Lizhi Cheng   Convergence rates of accelerated
                                  proximal gradient algorithms under
                                  independent noise  . . . . . . . . . . . 631--654
                 Emmanuel Lorin   Domain decomposition method for the
                                  $N$-body time-independent and
                                  time-dependent Schrödinger equations  . . 655--694
       Patrick L. Combettes and   
         Andrew M. McDonald and   
       Charles A. Micchelli and   
            Massimiliano Pontil   Learning with optimal interpolation
                                  norms  . . . . . . . . . . . . . . . . . 695--717
              Antonio Fazzi and   
           Nicola Guglielmi and   
                 Ivan Markovsky   An ODE-based method for computing the
                                  approximate greatest common divisor of
                                  polynomials  . . . . . . . . . . . . . . 719--740
              Dario A. Bini and   
             Stefano Massei and   
                 Leonardo Robol   Quasi-Toeplitz matrix arithmetic: a
                                  MATLAB toolbox . . . . . . . . . . . . . 741--769
                Walter Gautschi   Correction to: Sub-range Jacobi
                                  polynomials  . . . . . . . . . . . . . . 771--771

Numerical Algorithms
Volume 81, Number 3, July, 2019

             Silvia Gazzola and   
       Per Christian Hansen and   
                  James G. Nagy   IR Tools: a MATLAB package of iterative
                                  regularization methods and large-scale
                                  test problems  . . . . . . . . . . . . . 773--811
          Truong Minh Tuyen and   
             Nguyen Song Ha and   
            Nguyen Thi Thu Thuy   A shrinking projection method for
                                  solving the split common null point
                                  problem in Banach spaces . . . . . . . . 813--832
               Hongwu Zhang and   
                   Xiaoju Zhang   Generalized Tikhonov-type regularization
                                  method for the Cauchy problem of a
                                  semi-linear elliptic equation  . . . . . 833--851
                   Yan Tang and   
                    Zhiqing Bao   New semi-implicit midpoint rule for zero
                                  of monotone mappings in Banach spaces    853--878
                Hanzhang Hu and   
                  Yiping Fu and   
                       Jie Zhou   Numerical solution of a miscible
                                  displacement problem with dispersion
                                  term using a two-grid mixed finite
                                  element approach . . . . . . . . . . . . 879--914
           Roberto Andreani and   
         Viviana A. Ramirez and   
           Sandra A. Santos and   
            Leonardo D. Secchin   Bilevel optimization with a
                                  multiobjective problem in the lower
                                  level  . . . . . . . . . . . . . . . . . 915--946
                 Fiza Zafar and   
             Alicia Cordero and   
             Juan R. Torregrosa   Stability analysis of a family of
                                  optimal fourth-order methods for
                                  multiple roots . . . . . . . . . . . . . 947--981
                Pham Ky Anh and   
                Nguyen The Vinh   Self-adaptive gradient projection
                                  algorithms for variational inequalities
                                  involving non-Lipschitz continuous
                                  operators  . . . . . . . . . . . . . . . 983--1001
                          Da Xu   Second-order difference approximations
                                  for Volterra equations with the
                                  completely monotonic kernels . . . . . . 1003--1041
                 Binbin Qiu and   
               Yunong Zhang and   
                 Jinjin Guo and   
                   Zhi Yang and   
                    Xiaodong Li   New five-step DTZD algorithm for future
                                  nonlinear minimization with quartic
                                  steady-state error pattern . . . . . . . 1043--1065
                  Tran Viet Anh   Linesearch methods for bilevel split
                                  pseudomonotone variational inequality
                                  problems . . . . . . . . . . . . . . . . 1067--1087
       Woula Themistoclakis and   
                 Marc Van Barel   Uniform approximation on the sphere by
                                  least squares polynomials  . . . . . . . 1089--1111
                Yangyang Xu and   
               Ruijuan Zhao and   
                     Bing Zheng   Two non-parameter iterative algorithms
                                  for identifying strong $ \mathcal {H}
                                  $-tensors  . . . . . . . . . . . . . . . 1113--1128
                    H. Piri and   
                  B. Daraby and   
                 S. Rahrovi and   
                     M. Ghasemi   Approximating fixed points of
                                  generalized $ \alpha $-nonexpansive
                                  mappings in Banach spaces by new faster
                                  iteration process  . . . . . . . . . . . 1129--1148
            Stefan Maruster and   
                 Laura Maruster   On the problem of starting points for
                                  iterative methods  . . . . . . . . . . . 1149--1155
                 Jiansong Zhang   A new combined characteristic mixed
                                  finite element method for compressible
                                  miscible displacement problem  . . . . . 1157--1179

Numerical Algorithms
Volume 81, Number 4, August, 2019

             Luigi Brugnano and   
       Zdzis\law Jackiewicz and   
           Helmut Podhaisky and   
                 Yajuan Sun and   
              Caren Tischendorf   Preface  . . . . . . . . . . . . . . . . 1181--1182
             Luigi Brugnano and   
           Felice Iavernaro and   
          Juan I. Montijano and   
             Luis Rández   Spectrally accurate space-time solution
                                  of Hamiltonian PDEs  . . . . . . . . . . 1183--1202
                   Bin Wang and   
                     Xinyuan Wu   Global error bounds of one-stage
                                  extended RKN integrators for semilinear
                                  wave equations . . . . . . . . . . . . . 1203--1218
        Robert I. McLachlan and   
                Christian Offen   Symplectic integration of boundary value
                                  problems . . . . . . . . . . . . . . . . 1219--1233
               Yonglei Fang and   
               Yanping Yang and   
                  Xiong You and   
                       Bin Wang   A new family of $A$-stable Runge--Kutta
                                  methods with equation-dependent
                                  coefficients for stiff problems  . . . . 1235--1251
          Robert M. Corless and   
      C. Yalçin Kaya and   
              Robert H. C. Moir   Optimal residuals and the Dahlquist test
                                  problem  . . . . . . . . . . . . . . . . 1253--1274
                    Wei Shi and   
                     Xinyuan Wu   Explicit Gautschi-type integrators for
                                  nonlinear multi-frequency oscillatory
                                  second-order initial value problems  . . 1275--1294
                 Yanyan Shi and   
                 Yajuan Sun and   
                    Yang He and   
                   Hong Qin and   
                       Jian Liu   Symplectic integrators with adaptive
                                  time step applied to runaway electron
                                  dynamics . . . . . . . . . . . . . . . . 1295--1309
                  J. C. Butcher   Trees and $B$-series . . . . . . . . . . 1311--1325
                 Jonas Pade and   
              Caren Tischendorf   Waveform relaxation: a convergence
                                  criterion for differential--algebraic
                                  equations  . . . . . . . . . . . . . . . 1327--1342
                    G. Izzo and   
                  Z. Jackiewicz   Transformed implicit-explicit DIMSIMs
                                  with strong stability preserving
                                  explicit part  . . . . . . . . . . . . . 1343--1359
                      Lu Li and   
                Elena Celledoni   Krylov projection methods for linear
                                  Hamiltonian systems  . . . . . . . . . . 1361--1378
                  Jiyong Li and   
                     Yachao Gao   Energy-preserving trigonometrically
                                  fitted continuous stage
                                  Runge--Kutta--Nyström methods for
                                  oscillatory Hamiltonian systems  . . . . 1379--1401
               Saghir Ahmad and   
              J. C. Butcher and   
            Winston L. Sweatman   Variable order and stepsize in general
                                  linear methods . . . . . . . . . . . . . 1403--1421
            Benjamin Tapley and   
            Elena Celledoni and   
             Brynjulf Owren and   
             Helge I. Andersson   A novel approach to rigid spheroid
                                  models in viscous flows using operator
                                  splitting methods  . . . . . . . . . . . 1423--1441
             Kevin R. Green and   
             Raymond J. Spiteri   Gating-enhanced IMEX splitting methods
                                  for cardiac monodomain simulation  . . . 1443--1457
                    P. W. Sharp   The performance of the $N$-body
                                  integrator SSS . . . . . . . . . . . . . 1459--1472
              Stefan Kopecz and   
                Andreas Meister   On the existence of three-stage
                                  third-order modified
                                  Patankar--Runge--Kutta schemes . . . . . 1473--1484
                 Beibei Zhu and   
                  Yifa Tang and   
                Ruili Zhang and   
                    Yihao Zhang   Symplectic simulation of dark solitons
                                  motion for nonlinear Schrödinger equation 1485--1503
                 Mark Adams and   
           Connor Tannahill and   
                      Paul Muir   Error control Gaussian collocation
                                  software for boundary value ODEs and
                                  $1$D time-dependent PDEs . . . . . . . . 1505--1519
                Ruili Zhang and   
                   Jian Liu and   
                   Hong Qin and   
                      Yifa Tang   Energy-preserving algorithm for
                                  gyrocenter dynamics of charged particles 1521--1530
              Shanshan Wang and   
                   Luming Zhang   Split-step cubic B-spline collocation
                                  methods for nonlinear Schrödinger
                                  equations in one, two, and three
                                  dimensions with Neumann boundary
                                  conditions . . . . . . . . . . . . . . . 1531--1546
            Andreas Naumann and   
               Jörg Wensch   Multirate finite step methods  . . . . . 1547--1571


Numerical Algorithms
Volume 82, Number 1, September, 2019

                R. Dehghani and   
               N. Mahdavi-Amiri   Scaled nonlinear conjugate gradient
                                  methods for nonlinear least squares
                                  problems . . . . . . . . . . . . . . . . 1--20
                  Ana Marco and   
José-Javier Martínez and   
            Raquel Viaña   Least squares problems involving
                                  generalized Kronecker products and
                                  application to bivariate polynomial
                                  regression . . . . . . . . . . . . . . . 21--39
         Edmundo J. Huertas and   
            Anier Soria-Lorente   New analytic properties of nonstandard
                                  Sobolev-type Charlier orthogonal
                                  polynomials  . . . . . . . . . . . . . . 41--68
               Shuying Zhai and   
               Zhifeng Weng and   
               Xinlong Feng and   
                    Jinyun Yuan   Investigations on several high-order ADI
                                  methods for time-space fractional
                                  diffusion equation . . . . . . . . . . . 69--106
                Ron Goldman and   
                Plamen Simeonov   $q$-Blossoming for analytic functions    107--121
                  J. Moreno and   
     Miguel A. López and   
             R. Martínez   A new algorithm for solving all the real
                                  roots of a nonlinear system of equations
                                  in a given feasible region . . . . . . . 123--154
         Najmeh Azizi Zadeh and   
            Azita Tajaddini and   
                        Gang Wu   Weighted and deflated global GMRES
                                  algorithms for solving large Sylvester
                                  matrix equations . . . . . . . . . . . . 155--181
            Tomohiro Suzuki and   
            Hiroshi Sugiura and   
             Takemitsu Hasegawa   Estimating convergence regions of
                                  Schröder's iteration formula: how the
                                  Julia set shrinks to the Voronoi
                                  boundary . . . . . . . . . . . . . . . . 183--199
                  Weidi Yin and   
             Songsong Cheng and   
                 Yiheng Wei and   
              Jianmei Shuai and   
                      Yong Wang   A bias-compensated fractional order
                                  normalized least mean square algorithm
                                  with noisy inputs  . . . . . . . . . . . 201--222
                 Hongen Jia and   
                  Jichun Li and   
                Zhiwei Fang and   
                        Ming Li   A new FDTD scheme for Maxwell's
                                  equations in Kerr-type nonlinear media   223--243
                 Jinkui Liu and   
                    Yuming Feng   A derivative-free iterative method for
                                  nonlinear monotone equations with convex
                                  constraints  . . . . . . . . . . . . . . 245--262
           M. Marques Alves and   
                 Marina Geremia   Iteration complexity of an inexact
                                  Douglas--Rachford method and of a
                                  Douglas--Rachford--Tseng's F-B
                                  four-operator splitting method for
                                  solving monotone inclusions  . . . . . . 263--295
      Anantachai Padcharoen and   
                 Poom Kumam and   
                    Yeol Je Cho   Split common fixed point problems for
                                  demicontractive operators  . . . . . . . 297--320
                  Xiaoli Li and   
               Hongxing Rui and   
                 Zhengguang Liu   Two alternating direction implicit
                                  spectral methods for two-dimensional
                                  distributed-order differential equation  321--347
            Mijanur Rahaman and   
              Mohd. Ishtyak and   
                 Rais Ahmad and   
                      Imran Ali   The Yosida approximation iterative
                                  technique for split monotone Yosida
                                  variational inclusions . . . . . . . . . 349--369
                Jianxi Zhao and   
                  Qian Feng and   
                      Lina Zhao   Alternating direction and Taylor
                                  expansion minimization algorithms for
                                  unconstrained nuclear norm optimization  371--396

Numerical Algorithms
Volume 82, Number 2, October, 2019

Francisco J. Aragón Artacho and   
            Rubén Campoy   Optimal rates of linear convergence of
                                  the averaged alternating modified
                                  reflections method for two subspaces . . 397--421
 Stanis\law Migórski and   
                   Shengda Zeng   Rothe method and numerical analysis for
                                  history-dependent hemivariational
                                  inequalities with applications to
                                  contact mechanics  . . . . . . . . . . . 423--450
                  Xiaoli Li and   
               Hongxing Rui and   
              Shuangshuang Chen   A fully conservative block-centered
                                  finite difference method for simulating
                                  Darcy--Forchheimer compressible wormhole
                                  propagation  . . . . . . . . . . . . . . 451--478
               Hongrui Geng and   
                     Zhenhua Xu   Coupling of boundary integral equation
                                  and finite element methods for
                                  transmission problems in acoustics . . . 479--501
           Zhao-Zheng Liang and   
                 Guo-Feng Zhang   Robust additive block triangular
                                  preconditioners for block two-by-two
                                  linear systems . . . . . . . . . . . . . 503--537
          Klaus Böhmer and   
                Robert Schaback   A meshfree method for solving the
                                  Monge--Amp\`ere equation . . . . . . . . 539--551
                   Guang-an Zou   Numerical solutions to time-fractional
                                  stochastic partial differential
                                  equations  . . . . . . . . . . . . . . . 553--571
                  Hua Zheng and   
                  Seakweng Vong   A modified modulus-based matrix
                                  splitting iteration method for solving
                                  implicit complementarity problems  . . . 573--592
                  Xiao Tang and   
                     Aiguo Xiao   New explicit stabilized stochastic
                                  Runge--Kutta methods with weak second
                                  order for stiff Itô stochastic
                                  differential equations . . . . . . . . . 593--604
                 Jixin Chen and   
                   Ignace Loris   On starting and stopping criteria for
                                  nested primal-dual iterations  . . . . . 605--621
                   Fan Yang and   
                  Ya-Ru Sun and   
               Xiao-Xiao Li and   
                  Can-Yun Huang   The quasi-boundary value method for
                                  identifying the initial value of heat
                                  equation on a columnar symmetric domain  623--639
                    Feng Ma and   
                  Yiming Bi and   
                        Bin Gao   A prediction-correction-based
                                  primal-dual hybrid gradient method for
                                  linearly constrained convex minimization 641--662
               Sina Bittens and   
                 Gerlind Plonka   Sparse fast DCT for vectors with
                                  one-block support  . . . . . . . . . . . 663--697
                Zhigang Jia and   
              Michael K. Ng and   
                Guang-Jing Song   Lanczos method for large-scale
                                  quaternion singular value decomposition  699--717
                 Xiaona Fan and   
                    Qinglun Yan   Solving system of inequalities via a
                                  smoothing homotopy method  . . . . . . . 719--728
               Zhi-Wei Fang and   
              Michael K. Ng and   
                    Hai-Wei Sun   Circulant preconditioners for a kind of
                                  spatial fractional diffusion equations   729--747

Numerical Algorithms
Volume 82, Number 3, November, 2019

               G. García   Approximating roots of nonlinear systems
                                  by $ \alpha $-dense curves . . . . . . . 749--760
           Duong Viet Thong and   
                  Dang Van Hieu   Some extragradient-viscosity algorithms
                                  for solving variational inequality
                                  problems and fixed point problems  . . . 761--789
                 Cun-Qiang Miao   Filtered Krylov-like sequence method for
                                  symmetric eigenvalue problems  . . . . . 791--807
           N. A. Tselepidis and   
 C. K. Filelis-Papadopoulos and   
                G. A. Gravvanis   Distributed algebraic tearing and
                                  interconnecting techniques . . . . . . . 809--842
                 X. Y. Xiao and   
                    X. Wang and   
                      H. W. Yin   Preconditioned Richardson iteration for
                                  augmented linear systems . . . . . . . . 843--867
Laëtitia Caillé and   
                Liviu Marin and   
                 Franck Delvare   A meshless fading regularization
                                  algorithm for solving the Cauchy problem
                                  for the three-dimensional Helmholtz
                                  equation . . . . . . . . . . . . . . . . 869--894
             J. M. Carnicer and   
                   Y. Khiar and   
              J. M. Peña   Optimal interval length for the
                                  collocation of the Newton interpolation
                                  basis  . . . . . . . . . . . . . . . . . 895--908
               C. Izuchukwu and   
            G. C. Ugwunnadi and   
               O. T. Mewomo and   
                 A. R. Khan and   
                       M. Abbas   Proximal-type algorithms for split
                                  minimization problem in $P$-uniformly
                                  convex metric spaces . . . . . . . . . . 909--935
      Gérard Meurant and   
              Petr Tichý   Approximating the extreme Ritz values
                                  and upper bounds for the $A$-norm of the
                                  error in CG  . . . . . . . . . . . . . . 937--968
                   Huan Ren and   
                 Xiang Wang and   
              Xiao-Bin Tang and   
                      Teng Wang   A preconditioned general two-step
                                  modulus-based matrix splitting iteration
                                  method for linear complementarity
                                  problems of $ H_+ $-matrices . . . . . . 969--986
              C. E. Chidume and   
              O. M. Romanus and   
                   U. V. Nnyaba   An iterative algorithm for solving split
                                  equality fixed point problems for a
                                  class of nonexpansive-type mappings in
                                  Banach spaces  . . . . . . . . . . . . . 987--1007
        F. Fillion-Gourdeau and   
                       E. Lorin   Simple digital quantum algorithm for
                                  symmetric first-order linear hyperbolic
                                  systems  . . . . . . . . . . . . . . . . 1009--1045
                  Jing Zhao and   
                   Dingfang Hou   A self-adaptive iterative algorithm for
                                  the split common fixed point problems    1047--1063
              Thomas R. Cameron   An effective implementation of a
                                  modified Laguerre method for the roots
                                  of a polynomial  . . . . . . . . . . . . 1065--1084
                   L. Gr. Ixaru   Exponential and trigonometrical
                                  fittings: user-friendly expressions for
                                  the coefficients . . . . . . . . . . . . 1085--1096
             Ting-Ting Feng and   
               Xue-Ping Guo and   
                 Guo-Liang Chen   A modified ASOR-like method for
                                  augmented linear systems . . . . . . . . 1097--1115
                Constantin Popa   Correction to: Convergence rates for
                                  Kaczmarz-type algorithms . . . . . . . . 1117--1120

Numerical Algorithms
Volume 82, Number 4, December, 2019

                  N. Alinia and   
                    M. Zarebnia   A numerical algorithm based on a new
                                  kind of tension B-spline function for
                                  solving Burgers--Huxley equation . . . . 1121--1142
                 Luca Fenzi and   
                   Wim Michiels   Polynomial (chaos) approximation of
                                  maximum eigenvalue functions . . . . . . 1143--1169
                Songnian He and   
                     Tao Wu and   
                Yeol Je Cho and   
        Themistocles M. Rassias   Optimal parameter selections for a
                                  general Halpern iteration  . . . . . . . 1171--1188
         A. Ortiz-Bernardin and   
                 C. Alvarez and   
       N. Hitschfeld-Kahler and   
                   A. Russo and   
        R. Silva-Valenzuela and   
               E. Olate-Sanzana   Veamy: an extensible object-oriented C++
                                  library for the virtual element method   1189--1220
                     Hao Yu and   
                  Boying Wu and   
                    Dazhi Zhang   The Laguerre--Hermite spectral methods
                                  for the time-fractional sub-diffusion
                                  equations on unbounded domains . . . . . 1221--1250
              Zhong-Zhi Bai and   
                 Cun-Qiang Miao   Computing eigenpairs of Hermitian
                                  matrices in perfect Krylov subspaces . . 1251--1277
                   Y. S. Li and   
                  L. L. Sun and   
                Z. Q. Zhang and   
                         T. Wei   Identification of the time-dependent
                                  source term in a multi-term
                                  time-fractional diffusion equation . . . 1279--1301
             J. A. Ezquerro and   
M. A. Hernández-Verón   Nonlinear Fredholm integral equations
                                  and majorant functions . . . . . . . . . 1303--1323
                Sakhi Zaman and   
                 Siraj-ul-Islam   On numerical evaluation of integrals
                                  involving oscillatory Bessel and Hankel
                                  functions  . . . . . . . . . . . . . . . 1325--1343
        Saman Babaie-Kafaki and   
                Zohre Aminifard   Two-parameter scaled memoryless BFGS
                                  methods with a nonmonotone choice for
                                  the initial step length  . . . . . . . . 1345--1357
              Charles Curry and   
                 Brynjulf Owren   Variable step size commutator free Lie
                                  group integrators  . . . . . . . . . . . 1359--1376
                   Yang Cao and   
                        An Wang   Two-step modulus-based matrix splitting
                                  iteration methods for implicit
                                  complementarity problems . . . . . . . . 1377--1394
             Marija Milosevi\'c   Divergence of the backward Euler method
                                  for ordinary stochastic differential
                                  equations  . . . . . . . . . . . . . . . 1395--1407
                Xiaobo Yang and   
             Weizhang Huang and   
                   Jianxian Qiu   Moving mesh finite difference solution
                                  of non-equilibrium radiation diffusion
                                  equations  . . . . . . . . . . . . . . . 1409--1440
                Jure Ravnik and   
                     Jan Tibuat   Fast boundary-domain integral method for
                                  unsteady convection-diffusion equation
                                  with variable diffusivity using the
                                  modified Helmholtz fundamental solution  1441--1466
                      T. Li and   
                    Y. Wang and   
                     F. Liu and   
                      I. Turner   Novel parameter estimation techniques
                                  for a multi-term fractional dynamical
                                  epidemic model of dengue fever . . . . . 1467--1495


Numerical Algorithms
Volume 83, Number 1, January, 2020

     Amirhossein Amiraslani and   
          Robert M. Corless and   
         Madhusoodan Gunasingam   Differentiation matrices for univariate
                                  polynomials  . . . . . . . . . . . . . . 1--31
                Martin Averseng   Fast discrete convolution in $ \mathbb
                                  {R}^2 $ with radial kernels using
                                  non-uniform Fast Fourier Transform with
                                  nonequispaced frequencies  . . . . . . . 33--56
        Jakub Hrncír and   
     Ivana Pultarová and   
                 Zdenek Strakos   Decomposition into subspaces
                                  preconditioning: abstract framework  . . 57--98
                    Meng Li and   
            Chengming Huang and   
                   Wanyuan Ming   A relaxation-type Galerkin FEM for
                                  nonlinear fractional Schrödinger
                                  equations  . . . . . . . . . . . . . . . 99--124
               Nisha Sharma and   
       Morrakot Khebchareon and   
                  Amiya K. Pani   A priori error estimates of expanded
                                  mixed FEM for Kirchhoff type parabolic
                                  equation . . . . . . . . . . . . . . . . 125--147
                    Ji-Teng Jia   A breakdown-free algorithm for computing
                                  the determinants of periodic tridiagonal
                                  matrices . . . . . . . . . . . . . . . . 149--163
           Bernard Bialecki and   
         Graeme Fairweather and   
       Andreas Karageorghis and   
                 Jonathan Maack   A quadratic spline collocation method
                                  for the Dirichlet biharmonic problem . . 165--199
         Francesco Mezzadri and   
             Emanuele Galligani   Modulus-based matrix splitting methods
                                  for horizontal linear complementarity
                                  problems . . . . . . . . . . . . . . . . 201--219
              Fredrik Johansson   Computing the Lambert $W$ function in
                                  arbitrary-precision complex interval
                                  arithmetic . . . . . . . . . . . . . . . 221--242
                    Zhendong Gu   Chebyshev spectral collocation method
                                  for system of nonlinear Volterra
                                  integral equations . . . . . . . . . . . 243--263
               Chun-Hua Guo and   
                          Di Lu   A study of Schröder's method for the
                                  matrix $p$-th root using power series
                                  expansions . . . . . . . . . . . . . . . 265--279
              Mehdi Dehghan and   
                Akbar Shirilord   Accelerated double-step scale splitting
                                  iteration method for solving a class of
                                  complex symmetric linear systems . . . . 281--304
                   Yan Tang and   
                    Aviv Gibali   New self-adaptive step size algorithms
                                  for solving split variational inclusion
                                  problems and its applications  . . . . . 305--331
         Ioannis K. Argyros and   
            Santhosh George and   
             Kedarnath Senapati   Extending the applicability of the
                                  inexact Newton--HSS method for solving
                                  large systems of nonlinear equations . . 333--353
                Chaoqian Li and   
              Shaorong Yang and   
                  Hui Huang and   
                 Yaotang Li and   
                      Yimin Wei   Note on error bounds for linear
                                  complementarity problems of Nekrasov
                                  matrices . . . . . . . . . . . . . . . . 355--372
        Idoia Cortes Garcia and   
          Herbert De Gersem and   
          Sebastian Schöps   A structural analysis of field/circuit
                                  coupled problems based on a generalised
                                  circuit element  . . . . . . . . . . . . 373--394
               Hermann Mena and   
   Lena-Maria Pfurtscheller and   
                Tony Stillfjord   GPU acceleration of splitting schemes
                                  applied to differential matrix equations 395--419

Numerical Algorithms
Volume 83, Number 2, February, 2020

                 D. R. Sahu and   
                   A. Pitea and   
                       M. Verma   A new iteration technique for nonlinear
                                  operators as concerns convex programming
                                  and feasibility problems . . . . . . . . 421--449
                    Vjeran Hari   On the complex Falk--Langemeyer method   451--483
                     Fei Xu and   
                   Qiumei Huang   A type of cascadic multigrid method for
                                  coupled semilinear elliptic equations    485--510
              I. Gholampoor and   
            M. Tavassoli Kajani   A direct numerical method for
                                  approximate solution of inverse reaction
                                  diffusion equation via two-dimensional
                                  Legendre hybrid functions  . . . . . . . 511--528
              Jianrong Chen and   
                   Yunong Zhang   Continuous and discrete zeroing neural
                                  dynamics handling future
                                  unknown-transpose matrix inequality as
                                  well as scalar inequality of linear
                                  class  . . . . . . . . . . . . . . . . . 529--547
                 Jian Huang and   
                Zhongdi Cen and   
                   Aimin Xu and   
                     Li-Bin Liu   A posteriori error estimation for a
                                  singularly perturbed Volterra
                                  integro-differential equation  . . . . . 549--563
             S\lawomir Milewski   A Matlab software for approximate
                                  solution of 2D elliptic problems by
                                  means of the meshless Monte Carlo random
                                  walk method  . . . . . . . . . . . . . . 565--591
             Xiang-Ke Chang and   
                      Yi He and   
               Xing-Biao Hu and   
              Jian-Qing Sun and   
          Ernst Joachim Weniger   Construction of new generalizations of
                                  Wynn's epsilon and rho algorithm by
                                  solving finite difference equations in
                                  the transformation order . . . . . . . . 593--627
                     Y. Kaouane   A tangential method for the balanced
                                  truncation in model reduction  . . . . . 629--652
               Hamid Mirchi and   
       Davod Khojasteh Salkuyeh   A new preconditioner for elliptic
                                  PDE-constrained optimization problems    653--668
                 Zhiyong Si and   
                Yanfang Lei and   
                     Zhang Tong   Unconditional optimal error estimate of
                                  the projection/Lagrange--Galerkin finite
                                  element method for the Boussinesq
                                  equations  . . . . . . . . . . . . . . . 669--700
   Natasa Krklec Jerinki\'c and   
                 Andrea Roznjik   Penalty variable sample size method for
                                  solving optimization problems with
                                  equality constraints in a form of
                                  mathematical expectation . . . . . . . . 701--718
                 Li-Bin Liu and   
             Guangqing Long and   
                    Zhongdi Cen   A robust adaptive grid method for a
                                  nonlinear singularly perturbed
                                  differential equation with integral
                                  boundary condition . . . . . . . . . . . 719--739
               Guanglong Ma and   
                  Martin Stynes   A direct discontinuous Galerkin finite
                                  element method for convection-dominated
                                  two-point boundary value problems  . . . 741--765
         Marija Miloloza Pandur   Detecting a hyperbolic quadratic
                                  eigenvalue problem by using a subspace
                                  algorithm  . . . . . . . . . . . . . . . 767--787
               Simeon Reich and   
              Truong Minh Tuyen   A new algorithm for solving the split
                                  common null point problem in Hilbert
                                  spaces . . . . . . . . . . . . . . . . . 789--805
    Omar De la Cruz Cabrera and   
                 Mona Matar and   
                 Lothar Reichel   Edge importance in a network via line
                                  graphs and the matrix exponential  . . . 807--832

Numerical Algorithms
Volume 83, Number 3, March, 2020

                   Yue Teng and   
                    Li Yang and   
             Xiaoliang Song and   
                          Bo Yu   An augmented Lagrangian proximal
                                  alternating method for sparse discrete
                                  optimization problems  . . . . . . . . . 833--866
           Faik Gürsoy and   
  Müzeyyen Ertürk and   
                  Mujahid Abbas   A Picard-type iterative algorithm for
                                  general variational inequalities and
                                  nonexpansive mappings  . . . . . . . . . 867--883
                  Juan G. Calvo   A new coarse space for overlapping
                                  Schwarz algorithms for H(curl) problems
                                  in three dimensions with irregular
                                  subdomains . . . . . . . . . . . . . . . 885--899
                  S. Bojari and   
                 M. R. Eslahchi   Two families of scaled three-term
                                  conjugate gradient methods with
                                  sufficient descent property for
                                  nonconvex optimization . . . . . . . . . 901--933
                 Jicheng Li and   
                          Ge Li   Error bounds for linear complementarity
                                  problems of S-QN matrices  . . . . . . . 935--955
         Diane Gallois-Wong and   
               Sylvie Boldo and   
                    Pascal Cuoq   Optimal inverse projection of
                                  floating-point addition  . . . . . . . . 957--986
                P. Mokhtary and   
            B. P. Moghaddam and   
                A. M. Lopes and   
         J. A. Tenreiro Machado   A computational approach for the
                                  non-smooth solution of non-linear weakly
                                  singular Volterra integral equation with
                                  proportional delay . . . . . . . . . . . 987--1006
               Sara Pollock and   
                    Yunrong Zhu   A matrix analysis approach to discrete
                                  comparison principles for nonmonotone
                                  PDE  . . . . . . . . . . . . . . . . . . 1007--1027
      Cleonice F. Bracciali and   
          Junior A. Pereira and   
                   A. Sri Ranga   Quadrature rules from a $ R_{I I} $ type
                                  recurrence relation and associated
                                  quadrature rules on the unit circle  . . 1029--1061
              Min-Young Lee and   
                   Young Ik Kim   The dynamical analysis of a
                                  uniparametric family of three-point
                                  optimal eighth-order multiple-root
                                  finders under the Möbius conjugacy map on
                                  the Riemann sphere . . . . . . . . . . . 1063--1090
              Naveen Kumar Garg   A class of upwind methods based on
                                  generalized eigenvectors for weakly
                                  hyperbolic systems . . . . . . . . . . . 1091--1121
           Duong Viet Thong and   
           Nguyen Anh Triet and   
               Xiao-Huan Li and   
                   Qiao-Li Dong   Strong convergence of extragradient
                                  methods for solving bilevel
                                  pseudo-monotone variational inequality
                                  problems . . . . . . . . . . . . . . . . 1123--1143
                 Xiuxiu Lin and   
               Yanping Chen and   
                  Yunqing Huang   A posteriori error estimates of hp
                                  spectral element methods for optimal
                                  control problems with $ L^2 $-norm state
                                  constraint . . . . . . . . . . . . . . . 1145--1169
                    Jun Liu and   
                John W. Pearson   Parameter-robust preconditioning for the
                                  optimal control of the wave equation . . 1171--1203
                    Yue Hao and   
                 Ai-Li Yang and   
                    Yu-Jiang Wu   How to compute the minimum norm least
                                  squares solution of singular linear
                                  system by using the preconditioned HSS
                                  method?  . . . . . . . . . . . . . . . . 1205--1221
                     Xin Li and   
               Luming Zhang and   
                  Hong-lin Liao   Sharp $ H^1 $-norm error estimate of a
                                  cosine pseudo-spectral scheme for $2$D
                                  reaction-subdiffusion equations  . . . . 1223--1248
               Xian-Ping Wu and   
                     Ri-Huan Ke   Backward errors of the linear
                                  complementarity problem  . . . . . . . . 1249--1257

Numerical Algorithms
Volume 83, Number 4, April, 2020

                 Trond Steihaug   Computational science in the eighteenth
                                  century. Test cases for the methods of
                                  Newton, Raphson, and Halley: 1685 to
                                  1745 . . . . . . . . . . . . . . . . . . 1259--1275
                       Li Zhang   A derivative-free conjugate residual
                                  method using secant condition for
                                  general large-scale nonlinear equations  1277--1293
          Robert H. C. Moir and   
          Robert M. Corless and   
           Marc Moreno Maza and   
                       Ning Xie   Symbolic--numeric integration of
                                  rational functions . . . . . . . . . . . 1295--1320
               Yekini Shehu and   
          Olaniyi S. Iyiola and   
           Ferdinard U. Ogbuisi   Iterative method with inertial terms for
                                  nonexpansive mappings: applications to
                                  compressed sensing . . . . . . . . . . . 1321--1347
                   Hao Chen and   
                    Dongping Xu   Efficient preconditioners for Radau--IIA
                                  time discretization of space fractional
                                  diffusion equations  . . . . . . . . . . 1349--1372
                H. P. Bhatt and   
            A. Q. M. Khaliq and   
                   K. M. Furati   Efficient high-order compact exponential
                                  time differencing method for
                                  space-fractional reaction-diffusion
                                  systems with nonhomogeneous boundary
                                  conditions . . . . . . . . . . . . . . . 1373--1397
             Radu Miculescu and   
           Alexandru Mihail and   
      Silviu-Aurelian Urziceanu   A new algorithm that generates the image
                                  of the attractor of a generalized
                                  iterated function system . . . . . . . . 1399--1413
                Jiawei Chen and   
                 Yiyun Wang and   
                 Hongjin He and   
                      Yibing Lv   Convergence analysis of
                                  positive-indefinite proximal ADMM with a
                                  Glowinski's relaxation factor  . . . . . 1415--1440
                  M. Ganesh and   
                 C. Morgenstern   A coercive heterogeneous media Helmholtz
                                  model: formulation, wavenumber-explicit
                                  analysis, and preconditioned high-order
                                  FEM  . . . . . . . . . . . . . . . . . . 1441--1487
           Pierluigi Amodio and   
             Luigi Brugnano and   
               Felice Iavernaro   Analysis of spectral Hamiltonian
                                  boundary value methods (SHBVMs) for the
                                  numerical solution of ODE problems . . . 1489--1508
                   Fan Yang and   
                  Yan Zhang and   
                   Xiao-Xiao Li   Landweber iterative method for
                                  identifying the initial value problem of
                                  the time-space fractional diffusion-wave
                                  equation . . . . . . . . . . . . . . . . 1509--1530
                Yanan Jiang and   
                 Lihui Weng and   
                        Wei Liu   Stationary distribution of the
                                  stochastic theta method for nonlinear
                                  stochastic differential equations  . . . 1531--1553
         M. Sayadi Shahraki and   
              A. Delavarkhalafi   An arc-search predictor--corrector
                                  infeasible-interior-point algorithm for
                                  $ P_*(\kappa)$-SCLCPs  . . . . . . . . . 1555--1575
                   Liya Liu and   
                   Xiaolong Qin   Strong convergence of an
                                  extragradient-like algorithm involving
                                  pseudo-monotone mappings . . . . . . . . 1577--1590
        Nguyen Thi Thu Thuy and   
            Pham Thanh Hieu and   
                 J. J. Strodiot   Convergence of a hybrid viscosity
                                  approximation method for finding zeros
                                  of $m$-accretive operators . . . . . . . 1591--1612
               Ruigang Shen and   
                    Shi Shu and   
                  Ying Yang and   
                     Benzhuo Lu   A decoupling two-grid method for the
                                  time-dependent Poisson--Nernst--Planck
                                  equations  . . . . . . . . . . . . . . . 1613--1651
            Rida T. Farouki and   
               Jeffrey A. Strom   Computing the roots of sparse
                                  high-degree polynomials that arise from
                                  the study of random simplicial complexes 1653--1670


Numerical Algorithms
Volume 84, Number 1, May, 2020

                  S. Crespo and   
               M. Fasondini and   
                   C. Klein and   
                 N. Stoilov and   
               C. Vallée   Multidomain spectral method for the
                                  Gauss hypergeometric function  . . . . . 1--35
              Yun-Chi Huang and   
                   Siu-Long Lei   Fast solvers for finite difference
                                  scheme of two-dimensional time-space
                                  fractional differential equations  . . . 37--62
            Mahmoud A. Zaky and   
               Ibrahem G. Ameen   A priori error estimates of a Jacobi
                                  spectral method for nonlinear systems of
                                  fractional boundary value problems and
                                  related Volterra--Fredholm integral
                                  equations with smooth solutions  . . . . 63--89
                 Chuanye Gu and   
                  Zhiyou Wu and   
                      Jueyou Li   Regularized dual gradient distributed
                                  method for constrained convex
                                  optimization over unbalanced directed
                                  graphs . . . . . . . . . . . . . . . . . 91--115
              Yuto Miyatake and   
            Tomohiro Sogabe and   
               Shao-Liang Zhang   Adaptive SOR methods based on the Wolfe
                                  conditions . . . . . . . . . . . . . . . 117--132
                    Wei Liu and   
                 Jintao Cui and   
                   Zhifeng Wang   A finite difference approximation of
                                  reduced coupled model for slightly
                                  compressible Forchheimer fractures in
                                  karst aquifer system . . . . . . . . . . 133--163
                 Qian Zhang and   
               Tengjin Zhao and   
                   Zhiyue Zhang   Unfitted finite element for optimal
                                  control problem of the temperature in
                                  composite media with contact resistance  165--180
              John Burkardt and   
             Max Gunzburger and   
                     Wenju Zhao   High-precision computation of the weak
                                  Galerkin methods for the fourth-order
                                  problem  . . . . . . . . . . . . . . . . 181--205
         Mohammad Mursaleen and   
        Khursheed J. Ansari and   
                      Asif Khan   Approximation properties and error
                                  estimation of $q$-Bernstein shifted
                                  operators  . . . . . . . . . . . . . . . 207--227
              Higinio Ramos and   
                    M. A. Rufai   Numerical solution of boundary value
                                  problems by using an optimized two-step
                                  block method . . . . . . . . . . . . . . 229--251
                 Yabing Sun and   
                   Weidong Zhao   An explicit second-order numerical
                                  scheme for mean-field forward backward
                                  stochastic differential equations  . . . 253--283
           Duong Viet Thong and   
            Nguyen The Vinh and   
                    Yeol Je Cho   New strong convergence theorem of the
                                  inertial projection and contraction
                                  method for variational inequality
                                  problems . . . . . . . . . . . . . . . . 285--305
               Yanping Chen and   
                Qingfeng Li and   
                  Yang Wang and   
                  Yunqing Huang   Two-grid methods of finite element
                                  solutions for semi-linear elliptic
                                  interface problems . . . . . . . . . . . 307--330
       A. Anciaux-Sedrakian and   
                 L. Grigori and   
                   Z. Jorti and   
                   J. Papez and   
                      S. Yousef   Adaptive solution of linear systems of
                                  equations based on a posteriori error
                                  estimators . . . . . . . . . . . . . . . 331--364
               Yekini Shehu and   
               Xiao-Huan Li and   
                   Qiao-Li Dong   An efficient projection-type method for
                                  monotone variational inequalities in
                                  Hilbert spaces . . . . . . . . . . . . . 365--388
                   Jun Yang and   
                Hongwei Liu and   
                     Guaiwei Li   Convergence of a subgradient
                                  extragradient algorithm for solving
                                  monotone variational inequalities  . . . 389--405
                P. Castillo and   
                S. Gómez   Conservative Local Discontinuous
                                  Galerkin method for the fractional
                                  Klein--Gordon--Schrödinger system with
                                  generalized Yukawa interaction . . . . . 407--425

Numerical Algorithms
Volume 84, Number 2, June, 2020

                    Jing An and   
                 Huiyuan Li and   
                   Zhimin Zhang   Spectral-Galerkin approximation and
                                  optimal error estimate for biharmonic
                                  eigenvalue problems in
                                  circular/spherical/elliptical domains    427--455
         Ashish Kumar Nandi and   
       Jajati Keshari Sahoo and   
               Debasisha Mishra   Three-step alternating iterations for
                                  index 1 and non-singular matrices  . . . 457--483
     Cristian Daniel Alecsa and   
Szilárd Csaba László and   
                  Adrian Viorel   A gradient-type algorithm with backward
                                  inertial steps associated to a nonconvex
                                  minimization problem . . . . . . . . . . 485--512
                  Hui Zhang and   
              Xiaoyun Jiang and   
                   Rumeng Zheng   Chebyshev--Legendre spectral method and
                                  inverse problem analysis for the space
                                  fractional Benjamin--Bona--Mahony
                                  equation . . . . . . . . . . . . . . . . 513--536
      Damrongsak Yambangwai and   
           Sukanya Aunruean and   
               Tanakit Thianwan   A new modified three-step iteration
                                  method for $G$-nonexpansive mappings in
                                  Banach spaces with a graph . . . . . . . 537--565
              Xuezhong Wang and   
                 Maolin Che and   
                      Yimin Wei   Global uniqueness and solvability of
                                  tensor complementarity problems for $
                                  \mathcal {H}_+ $-tensors . . . . . . . . 567--590
               M. Ahmadinia and   
              H. Afshari A. and   
                     M. Heydari   Numerical solution of Itô--Volterra
                                  integral equation by least squares
                                  method . . . . . . . . . . . . . . . . . 591--602
               Xiuyun Zheng and   
             Xiaoliang Dong and   
                Jiarong Shi and   
                       Wei Yang   Further comment on another hybrid
                                  conjugate gradient algorithm for
                                  unconstrained optimization by Andrei . . 603--608
  M. L. N. Gonçalves and   
                 F. R. Oliveira   On the global convergence of an inexact
                                  quasi-Newton conditional gradient method
                                  for constrained nonlinear systems  . . . 609--631
               Yongtao Zhou and   
            Chengjian Zhang and   
                 Luigi Brugnano   Preconditioned quasi-compact boundary
                                  value methods for space-fractional
                                  diffusion equations  . . . . . . . . . . 633--649
          Andrzej Marciniak and   
        Malgorzata A. Jankowska   Interval methods of Adams--Bashforth
                                  type with variable step sizes  . . . . . 651--678
             Lajos Lóczi   Optimal subsets in the stability regions
                                  of multistep methods . . . . . . . . . . 679--715
            Daniel Kressner and   
     Patrick Kürschner and   
                 Stefano Massei   Low-rank updates and divide-and-conquer
                                  methods for quadratic matrix equations   717--741
                  Junjie Ma and   
                     Huilan Liu   Fractional collocation boundary value
                                  methods for the second kind Volterra
                                  equations with weakly singular kernels   743--760
           Stephen Marsland and   
        Robert I. McLachlan and   
             Matthew C. Wilkins   Parallelization, initialization, and
                                  boundary treatments for the diamond
                                  scheme . . . . . . . . . . . . . . . . . 761--779
       Alireza Hosseini Dehmiry   The global convergence of the BFGS
                                  method under a modified Yuan--Wei--Lu
                                  line search technique  . . . . . . . . . 781--793
           Duong Viet Thong and   
               Yekini Shehu and   
              Olaniyi S. Iyiola   Weak and strong convergence theorems for
                                  solving pseudo-monotone variational
                                  inequalities with non-Lipschitz mappings 795--823

Numerical Algorithms
Volume 84, Number 3, July, 2020

              Anicet Dansou and   
          Sa\"\ida Mouhoubi and   
              Cyrille Chazallon   Optimizations of a fast multipole
                                  symmetric Galerkin boundary element
                                  method code  . . . . . . . . . . . . . . 825--846
                     Wei Ma and   
                 Xiao-shan Chen   Two-step inexact Newton-type method for
                                  inverse singular value problems  . . . . 847--870
Mohammad Mehdizadeh Khalsaraei and   
                     Ali Shokri   An explicit six-step singularly
                                  $P$-stable Obrechkoff method for the
                                  numerical solution of second-order
                                  oscillatory initial value problems . . . 871--886
             Lingsheng Meng and   
                 Bing Zheng and   
                      Yimin Wei   Condition numbers of the
                                  multidimensional total least squares
                                  problems having more than one solution   887--908
               Ji-Chuan Liu and   
                   Xiao-Chen Li   Reconstruction algorithms of an inverse
                                  source problem for the Helmholtz
                                  equation . . . . . . . . . . . . . . . . 909--933
               Gonglin Yuan and   
             Xiaoliang Wang and   
                     Zhou Sheng   Family weak conjugate gradient
                                  algorithms and their convergence
                                  analysis for nonconvex functions . . . . 935--956
                     Avram Sidi   A convergence study for reduced rank
                                  extrapolation on nonlinear systems . . . 957--982
          Alexander Belyaev and   
           Pierre-Alain Fayolle   An ADMM-based scheme for distance
                                  function approximation . . . . . . . . . 983--996
         Suparat Kesornprom and   
           Nattawut Pholasa and   
              Prasit Cholamjiak   On the convergence analysis of the
                                  gradient-CQ algorithms for the split
                                  feasibility problem  . . . . . . . . . . 997--1017
                      Yi Li and   
                 Yanren Hou and   
                       Yao Rong   A second-order artificial compression
                                  method for the evolutionary
                                  Stokes--Darcy system . . . . . . . . . . 1019--1048
              Ken'ichiro Tanaka   Generation of point sets by convex
                                  optimization for interpolation in
                                  reproducing kernel Hilbert spaces  . . . 1049--1079
                    Meng Li and   
            Chengming Huang and   
                 Yongliang Zhao   Fast conservative numerical algorithm
                                  for the coupled fractional
                                  Klein--Gordon--Schrödinger equation . . . 1081--1119
               Mahboub Baccouch   An adaptive local discontinuous Galerkin
                                  method for nonlinear two-point
                                  boundary-value problems  . . . . . . . . 1121--1153
               Shuying Zhai and   
                Longyuan Wu and   
              Jingying Wang and   
                   Zhifeng Weng   Numerical approximation of the
                                  fractional Cahn--Hilliard equation by
                                  operator splitting method  . . . . . . . 1155--1178
            Ivan Petkovi\'c and   
               \Dbarorde Herceg   Computers in mathematical research: the
                                  study of three-point root-finding
                                  methods  . . . . . . . . . . . . . . . . 1179--1198
               Minhong Chen and   
                Daniel Kressner   Recursive blocked algorithms for linear
                                  systems with Kronecker product structure 1199--1216
                Rajat Vaish and   
           Md. Kalimuddin Ahmad   Generalized viscosity implicit scheme
                                  with Meir--Keeler contraction for
                                  asymptotically nonexpansive mapping in
                                  Banach spaces  . . . . . . . . . . . . . 1217--1237

Numerical Algorithms
Volume 84, Number 4, August, 2020

             Froilan Dopico and   
             Khalide Jbilou and   
                 Mohammed Seaid   Special volume on mathematical modeling
                                  with applications  . . . . . . . . . . . 1239--1240
           Claude Brezinski and   
          Michela Redivo-Zaglia   Some unusual results on extrapolation
                                  methods  . . . . . . . . . . . . . . . . 1241--1264
              Ilias Abdaoui and   
      Lakhdar Elbouyahyaoui and   
               Mohammed Heyouni   The simpler block CMRH method for linear
                                  systems  . . . . . . . . . . . . . . . . 1265--1293
               A. Badahmane and   
              A. H. Bentbib and   
                       H. Sadok   Preconditioned Krylov subspace and
                                  GMRHSS iteration methods for solving the
                                  nonsymmetric saddle point problems . . . 1295--1312
               G. P. Deidda and   
     P. Díaz de Alba and   
                    C. Fenu and   
                  G. Lovicu and   
                   G. Rodriguez   FDEMtools: a MATLAB package for FDEM
                                  data inversion . . . . . . . . . . . . . 1313--1327
    Jurjen Duintjer Tebbens and   
          Gérard Meurant   On the residual norms, the Ritz values
                                  and the harmonic Ritz values that can be
                                  generated by restarted GMRES . . . . . . 1329--1352
          Gérard Meurant   On prescribing the convergence behavior
                                  of the conjugate gradient algorithm  . . 1353--1380
             Lothar Reichel and   
              Hassane Sadok and   
                 Wei-Hong Zhang   Simple stopping criteria for the LSQR
                                  method applied to discrete ill-posed
                                  problems . . . . . . . . . . . . . . . . 1381--1395
               M. Essaouini and   
                B. Abouzaid and   
                P. Gaudreau and   
                     H. Safouhi   Computation of energy eigenvalues of the
                                  anharmonic Coulombic potential with
                                  irregular singularities  . . . . . . . . 1397--1409
              A. H. Bentbib and   
               S. El-Halouy and   
                    El M. Sadek   Krylov subspace projection method for
                                  Sylvester tensor equation with low rank
                                  right-hand side  . . . . . . . . . . . . 1411--1430
               Mohamed Farhloul   Mixed finite element methods for the
                                  Oseen problem  . . . . . . . . . . . . . 1431--1442
               A. Elidrissi and   
                  J. Abouir and   
                 B. Benouahmane   On the calculation of the poles of
                                  multivariate meromorphic functions using
                                  the symbolic--numeric two-point $ q
                                  d$-algorithm . . . . . . . . . . . . . . 1443--1458
              A. H. Bentbib and   
              M. El Ghomari and   
                      K. Jbilou   Extended nonsymmetric global Lanczos
                                  method for matrix function approximation 1459--1479
         Moulay Abdellah Chkifa   Leja, Fejér--Leja and $R$--Leja sequences
                                  for Richardson iteration . . . . . . . . 1481--1505
                M. Errachid and   
               A. Essanhaji and   
                   A. Messaoudi   RMVPIA: a new algorithm for computing
                                  the Lagrange multivariate polynomial
                                  interpolation  . . . . . . . . . . . . . 1507--1534
         Fatemeh P. A. Beik and   
             Khalide Jbilou and   
       Mehdi Najafi-Kalyani and   
                 Lothar Reichel   Golub--Kahan bidiagonalization for
                                  ill-conditioned tensor equations with
                                  applications . . . . . . . . . . . . . . 1535--1563
                 S. Slimani and   
                I. Medarhri and   
                   K. Najib and   
                        A. Zine   Identification of the source function
                                  for a seawater intrusion problem in
                                  unconfined aquifer . . . . . . . . . . . 1565--1587
                 A. Kouibia and   
                 M. Pasadas and   
                      R. Akhrif   A variational method for solving
                                  two-dimensional Bratu's problem  . . . . 1589--1599


Numerical Algorithms
Volume 85, Number 1, September, 2020

                  Weiwei Xu and   
                    Lei Zhu and   
               Xiaofei Peng and   
                    Hao Liu and   
                    Junfeng Yin   A class of modified modulus-based
                                  synchronous multisplitting iteration
                                  methods for linear complementarity
                                  problems . . . . . . . . . . . . . . . . 1--21
                   Xing Liu and   
                    Weihua Deng   Numerical methods for the
                                  two-dimensional Fokker--Planck equation
                                  governing the probability density
                                  function of the tempered fractional
                                  Brownian motion  . . . . . . . . . . . . 23--38
                 Wenlin Qiu and   
                      Da Xu and   
                   Jing Guo and   
                       Jun Zhou   A time two-grid algorithm based on
                                  finite difference method for the
                                  two-dimensional nonlinear
                                  time-fractional mobile/immobile
                                  transport model  . . . . . . . . . . . . 39--58
           Behrouz Kheirfam and   
              Masoumeh Haghighi   A full-Newton step infeasible
                                  interior-point method based on a
                                  trigonometric kernel function without
                                  centering steps  . . . . . . . . . . . . 59--75
                     Jie Ma and   
                   Feng Gao and   
                     Yongshu Li   An efficient method for computing the
                                  outer inverse $A_{T,S}^{(2)}$ through
                                  Gauss--Jordan elimination  . . . . . . . 77--106
             Zhengguang Liu and   
                      Xiaoli Li   Efficient modified stabilized invariant
                                  energy quadratization approaches for
                                  phase-field crystal equation . . . . . . 107--132
            Tomohiro Suzuki and   
            Hiroshi Sugiura and   
             Takemitsu Hasegawa   Regions of convergence and dynamics of
                                  Schröder-like iteration formulae as
                                  applied to complex polynomial equations
                                  with multiple roots  . . . . . . . . . . 133--144
                 Luca Dieci and   
            Manuela Manetta and   
                    Haomin Zhou   Double descent and intermittent color
                                  diffusion for landscape exploration  . . 145--169
          Rekha P. Kulkarni and   
                Gobinda Rakshit   Richardson extrapolation for the
                                  discrete iterated modified projection
                                  solution . . . . . . . . . . . . . . . . 171--189
              Ana-Maria Acu and   
                      Ioan Rasa   Estimates for the differences of
                                  positive linear operators and their
                                  derivatives  . . . . . . . . . . . . . . 191--208
         Ahmed A. Al Ghafli and   
            Hassan J. Al Salman   An optimal error bound for a finite
                                  element approximation of spatially
                                  extended predator--prey interaction
                                  model  . . . . . . . . . . . . . . . . . 209--229
  Michael Bartholomew-Biggs and   
              Salah Beddiaf and   
             Bruce Christianson   A comparison of methods for traversing
                                  regions of non-convexity in optimization
                                  problems . . . . . . . . . . . . . . . . 231--253
               Zhengjie Sun and   
                 Zongmin Wu and   
                      Wenwu Gao   An iterated quasi-interpolation approach
                                  for derivative approximation . . . . . . 255--276
              Vu Hoang Linh and   
              Nguyen Duy Truong   On convergence of continuous
                                  half-explicit Runge--Kutta methods for a
                                  class of delay differential-algebraic
                                  equations  . . . . . . . . . . . . . . . 277--303
                Pratima Rai and   
                Kapil K. Sharma   Numerical approximation for a class of
                                  singularly perturbed delay differential
                                  equations with boundary and interior
                                  layer(s) . . . . . . . . . . . . . . . . 305--328
                  Zhao Yang and   
                 Rong Huang and   
                        Wei Zhu   Accurate computations for eigenvalues of
                                  products of
                                  Cauchy-polynomial-Vandermonde matrices   329--351
             Mohsen Hoseini and   
             Shahram Saeidi and   
                    Do Sang Kim   On perturbed hybrid steepest descent
                                  method with minimization or
                                  superiorization for subdifferentiable
                                  functions  . . . . . . . . . . . . . . . 353--374

Numerical Algorithms
Volume 85, Number 2, October, 2020

              Jianfei Huang and   
                Dandan Yang and   
                 Laurent O. Jay   Efficient methods for nonlinear time
                                  fractional diffusion-wave equations and
                                  their fast implementations . . . . . . . 375--397
                        Feng Ma   Convergence study on the proximal
                                  alternating direction method with larger
                                  step size  . . . . . . . . . . . . . . . 399--425
                  Wenwu Gao and   
                      Xuan Zhou   Multiscale radial kernels with
                                  high-order generalized Strang--Fix
                                  conditions . . . . . . . . . . . . . . . 427--448
       Milena J. Petrovi\'c and   
       Vladimir Rakocevi\'c and   
       Dragana Valjarevi\'c and   
                   Dejan Ili\'c   A note on hybridization process applied
                                  on transformed double step size model    449--465
               Chol-Kyu Pak and   
               Mun-Chol Kim and   
                   Chang-Ho Rim   An efficient third-order scheme for
                                  BSDEs based on nonequidistant difference
                                  scheme . . . . . . . . . . . . . . . . . 467--483
                 Mohammad Ilati   Analysis and application of the
                                  interpolating element-free Galerkin
                                  method for extended Fisher--Kolmogorov
                                  equation which arises in brain tumor
                                  dynamics modeling  . . . . . . . . . . . 485--502
               Oksana Bihun and   
                   Kathy Driver   Orthogonal sequences constructed from
                                  quasi-orthogonal ultraspherical
                                  polynomials  . . . . . . . . . . . . . . 503--522
               R. Chousurin and   
            T. Mouktonglang and   
              B. Wongsaijai and   
                 K. Poochinapan   Performance of compact and non-compact
                                  structure preserving algorithms to
                                  traveling wave solutions modeled by the
                                  Kawahara equation  . . . . . . . . . . . 523--541
                Sergio Amat and   
                  Juan Ruiz and   
             Juan C. Trillo and   
Dionisio F. Yáñez   On a family of non-oscillatory
                                  subdivision schemes having regularity $
                                  C^r $ with $ r > 1 $  . . . . . . . . . . 543--569
              Jian-Xun Zhao and   
                      Song Wang   An interior penalty approach to a
                                  large-scale discretized obstacle problem
                                  with nonlinear constraints . . . . . . . 571--589
 André Pierro de Camargo   Rounding error analysis of divided
                                  differences schemes: Newton's divided
                                  differences; Neville's algorithm;
                                  Richardson extrapolation; Romberg
                                  quadrature; etc. . . . . . . . . . . . . 591--606
                   Qian Liu and   
                   Dongyang Shi   Superconvergence analysis of a two-grid
                                  method for an energy-stable
                                  Ciarlet--Raviart type scheme of
                                  Cahn--Hilliard equation  . . . . . . . . 607--622
            Paolo Piersanti and   
                   Xiaoqin Shen   Numerical methods for static shallow
                                  shells lying over an obstacle  . . . . . 623--652
                    Jian Lv and   
                Ze-Hao Xiao and   
                   Li-Ping Pang   An incremental bundle method for
                                  portfolio selection problem under
                                  second-order stochastic dominance  . . . 653--681
                Tongke Wang and   
                   Meng Qin and   
                      Huan Lian   The asymptotic approximations to linear
                                  weakly singular Volterra integral
                                  equations via Laplace transform  . . . . 683--711
                  Chuan Lin and   
            Gabor T. Herman and   
          Marcelo V. W. Zibetti   Enhancement of the Kaczmarz algorithm
                                  with projection adjustment . . . . . . . 713--736
             Xiongfeng Song and   
                     Wei Xu and   
                 Ken Hayami and   
                     Ning Zheng   Secant variable projection method for
                                  solving nonnegative separable least
                                  squares problems . . . . . . . . . . . . 737--761

Numerical Algorithms
Volume 85, Number 3, November, 2020

      Mohammed Yusuf Waziri and   
         Kabiru Ahmed Hungu and   
                  Jamilu Sabi'u   Descent Perry conjugate gradient methods
                                  for systems of monotone nonlinear
                                  equations  . . . . . . . . . . . . . . . 763--785
                 Rui-Xia Li and   
             Guo-Feng Zhang and   
               Zhao-Zheng Liang   Fast solver of optimal control problems
                                  constrained by Ohta--Kawasaki equations  787--809
                 Antonio Cicone   Iterative filtering as a direct method
                                  for the decomposition of nonstationary
                                  signals  . . . . . . . . . . . . . . . . 811--827
         Alessandro Buccini and   
          Pietro Dell'Acqua and   
                Marco Donatelli   A general framework for ADMM
                                  acceleration . . . . . . . . . . . . . . 829--848
               Yunong Zhang and   
            Huanchang Huang and   
                   Min Yang and   
                Yihong Ling and   
                    Jian Li and   
                     Binbin Qiu   New zeroing neural dynamics models for
                                  diagonalization of symmetric matrix
                                  stream . . . . . . . . . . . . . . . . . 849--866
                   Ali Abdi and   
      Seyyed Ahmad Hosseini and   
               Helmut Podhaisky   Numerical methods based on the
                                  Floater--Hormann interpolants for stiff
                                  VIEs . . . . . . . . . . . . . . . . . . 867--886
               Quang A Dang and   
                Quang Long Dang   Existence results and iterative method
                                  for a fully fourth-order nonlinear
                                  integral boundary value problem  . . . . 887--907
                   Xindi Hu and   
                  Shengfeng Zhu   Isogeometric analysis for
                                  time-fractional partial differential
                                  equations  . . . . . . . . . . . . . . . 909--930
              Faisal Fairag and   
              Adel Al-Mahdi and   
                  Shahbaz Ahmad   Two-Level method for the total
                                  fractional-order variation model in
                                  image deblurring problem . . . . . . . . 931--950
                   Fang Xie and   
               Rong-Fei Lin and   
                   Qing-Biao Wu   Modified Newton--DSS method for solving
                                  a class of systems of nonlinear
                                  equations with complex symmetric
                                  Jacobian matrices  . . . . . . . . . . . 951--975
          Miodrag M. Spalevi\'c   A note on generalized averaged Gaussian
                                  formulas for a class of weight functions 977--993
         Michael S. Floater and   
              Francesco Patrizi   Transfinite mean value interpolation
                                  over polygons  . . . . . . . . . . . . . 995--1003
                 C. Clavero and   
                    J. C. Jorge   An efficient and uniformly convergent
                                  scheme for one-dimensional parabolic
                                  singularly perturbed semilinear systems
                                  of reaction-diffusion type . . . . . . . 1005--1027
                 Hira Iqbal and   
              Mujahid Abbas and   
                  S. M. Husnine   Existence and approximation of fixed
                                  points of multivalued generalized $
                                  \alpha $-nonexpansive mappings in Banach
                                  spaces . . . . . . . . . . . . . . . . . 1029--1049
             Adisak Hanjing and   
                 Suthep Suantai   Hybrid inertial accelerated algorithms
                                  for split fixed point problems of
                                  demicontractive mappings and equilibrium
                                  problems . . . . . . . . . . . . . . . . 1051--1073
           Stephen Edward Moore   Discontinuous Galerkin isogeometric
                                  analysis for elliptic problems with
                                  discontinuous diffusion coefficients on
                                  surfaces . . . . . . . . . . . . . . . . 1075--1094
                  Binjie Li and   
                    Hao Luo and   
                   Xiaoping Xie   A space--time finite element method for
                                  fractional wave problems . . . . . . . . 1095--1121

Numerical Algorithms
Volume 85, Number 4, December, 2020

                    Lei Shi and   
                 Zhong Chen and   
               Xiaohua Ding and   
                       Qiang Ma   A new stable collocation method for
                                  solving a class of nonlinear fractional
                                  delay differential equations . . . . . . 1123--1153
Dilan Kiliç Kurto\uglu and   
   A. Ihsan Hasçelik and   
      Gradimir V. Milovanovi\'c   A method for efficient computation of
                                  integrals with oscillatory and singular
                                  integrand  . . . . . . . . . . . . . . . 1155--1173
            Sabine Le Borne and   
                  Michael Wende   Multilevel interpolation of scattered
                                  data using $ \mathcal {H}$-matrices  . . 1175--1193
                Yunqiu Shen and   
               Tjalling J. Ypma   Numerical solution of separable
                                  nonlinear equations with a singular
                                  matrix at the solution . . . . . . . . . 1195--1211
           Jean-Paul Chehab and   
                  Marcos Raydan   Geometrical inverse matrix approximation
                                  for least-squares problems and
                                  acceleration strategies  . . . . . . . . 1213--1231
                       Na Huang   Variable parameter Uzawa method for
                                  solving a class of block three-by-three
                                  saddle point problems  . . . . . . . . . 1233--1254
              Quy Muoi Pham and   
              Delf Lachmund and   
                 Dinh Nho H\`ao   Convergence of proximal algorithms with
                                  stepsize controls for non-linear inverse
                                  problems and application to sparse
                                  non-negative matrix factorization  . . . 1255--1279
                  Zhongxiao Jia   Regularization properties of Krylov
                                  iterative solvers CGME and LSMR for
                                  linear discrete ill-posed problems with
                                  an application to truncated randomized
                                  SVDs . . . . . . . . . . . . . . . . . . 1281--1310
               Alpesh Kumar and   
              Akanksha Bhardwaj   A local meshless method for time
                                  fractional nonlinear diffusion wave
                                  equation . . . . . . . . . . . . . . . . 1311--1334
                  Feng Liao and   
               Luming Zhang and   
                  Tingchun Wang   Two energy-conserving and compact finite
                                  difference schemes for two-dimensional
                                  Schrödinger--Boussinesq equations . . . . 1335--1363
                 Guanze Huo and   
                Yongkui Zou and   
                   Yingxiang Xu   $B$-method approach to blow-up solutions
                                  of fourth-order semilinear parabolic
                                  equations  . . . . . . . . . . . . . . . 1365--1384
              Xiaoping Wang and   
                Huanying Xu and   
                      Haitao Qi   Analytical and numerical analysis of
                                  time fractional dual-phase-lag heat
                                  conduction during short-pulse laser
                                  heating  . . . . . . . . . . . . . . . . 1385--1408
                     Avram Sidi   Acceleration of convergence of some
                                  infinite sequences $ A_n $ whose
                                  asymptotic expansions involve fractional
                                  powers of $n$ via the $ \tilde {d}^{(m)}
                                  $ transformation . . . . . . . . . . . . 1409--1445
             Arnulf Jentzen and   
              Felix Lindner and   
                  Primoz Pusnik   Exponential moment bounds and strong
                                  convergence rates for tamed-truncated
                                  numerical approximations of stochastic
                                  convolutions . . . . . . . . . . . . . . 1447--1473
            M. Campos Pinto and   
                 F. Charles and   
          B. Després and   
                       M. Herda   A projection algorithm on the set of
                                  polynomials with two bounds  . . . . . . 1475--1498
              Phan Thanh An and   
           Nam D\~ung Hoang and   
               Nguyen Kieu Linh   An efficient improvement of gift
                                  wrapping algorithm for computing the
                                  convex hull of a finite set of points in
                                  $ \mathbb {R}^n $  . . . . . . . . . . . 1499--1518
                Jinhong Jia and   
           Xiangcheng Zheng and   
                 Hongfei Fu and   
                Pingfei Dai and   
                      Hong Wang   A fast method for variable-order
                                  space-fractional diffusion equations . . 1519--1540


Numerical Algorithms
Volume 86, Number 1, January, 2021

                     Xin Li and   
             Ting-Zhu Huang and   
                 Xi-Le Zhao and   
                 Teng-Yu Ji and   
              Yu-Bang Zheng and   
                Liang-Jian Deng   Adaptive total variation and
                                  second-order total variation-based model
                                  for low-rank tensor completion . . . . . 1--24
      Sayed Arsalan Sajjadi and   
                  Saeed Pishbin   Convergence analysis of the product
                                  integration method for solving the
                                  fourth kind integral equations with
                                  weakly singular kernels  . . . . . . . . 25--54
              Pham Ngoc Anh and   
                      Ho Phi Tu   Subgradient projection methods extended
                                  to monotone bilevel equilibrium problems
                                  in Hilbert spaces  . . . . . . . . . . . 55--74
Jorge E. Macías-Díaz   A numerically efficient variational
                                  algorithm to solve a fractional
                                  nonlinear elastic string equation  . . . 75--102
              Xiaowei Jiang and   
               Yueting Yang and   
                 Yunlong Lu and   
                   Mingyuan Cao   Flattened aggregate function method for
                                  nonlinear programming with many
                                  complicated constraints  . . . . . . . . 103--122
               Dongyang Shi and   
                     Chaoqun Li   Superconvergence analysis of two-grid
                                  methods for bacteria equations . . . . . 123--152
                    Nela Bosner   Parallel reduction of four matrices to
                                  condensed form for a generalized matrix
                                  eigenvalue algorithm . . . . . . . . . . 153--178
  Tahereh Salimi Siahkolaei and   
       Davod Khojasteh Salkuyeh   On the parameter selection in the
                                  transformed matrix iteration method  . . 179--189
                Lanmei Deng and   
                    Rong Hu and   
                    Yaping Fang   Projection extragradient algorithms for
                                  solving nonmonotone and non-Lipschitzian
                                  equilibrium problems in Hilbert spaces   191--221
         Rudnei D. da Cunha and   
        Elismar R. Oliveira and   
                  Filip Strobin   A multiresolution algorithm to generate
                                  images of generalized fuzzy fractal
                                  attractors . . . . . . . . . . . . . . . 223--256
                      Yi-Fen Ke   Convergence analysis on matrix splitting
                                  iteration algorithm for semidefinite
                                  linear complementarity problems  . . . . 257--279
                 Ying Liang and   
                  Hua Xiang and   
              Shiyang Zhang and   
                        Jun Zou   Preconditioners and their analyses for
                                  edge element saddle-point systems
                                  arising from time-harmonic Maxwell's
                                  equations  . . . . . . . . . . . . . . . 281--302
            Abdellah Bnouhachem   A self-adaptive descent LQP alternating
                                  direction method for the structured
                                  variational inequalities . . . . . . . . 303--324
              Teng-Teng Yao and   
                   Zhi Zhao and   
             Zheng-Jian Bai and   
                  Xiao-Qing Jin   A Riemannian derivative-free
                                  Polak--Ribiére--Polyak method for tangent
                                  vector field . . . . . . . . . . . . . . 325--355
               Xinlong Feng and   
                 Ruijian He and   
                  Zhangxin Chen   Superconvergence in $ H^1 $-norm of a
                                  difference finite element method for the
                                  heat equation in a $3$D spatial domain
                                  with almost-uniform mesh . . . . . . . . 357--395
      Petra Maria Bartmeyer and   
          Silvana Bocanegra and   
 Aurelio Ribeiro Leite Oliveira   Switching preconditioners using a hybrid
                                  approach for linear systems arising from
                                  interior point methods for linear
                                  programming  . . . . . . . . . . . . . . 397--424
                Qiuyu Zhang and   
                    Jian Li and   
                 Pengzhan Huang   Recovery type a posteriori error
                                  estimates for the conduction convection
                                  problem  . . . . . . . . . . . . . . . . 425--441
          Elizaveta Rebrova and   
                 Deanna Needell   On block Gaussian sketching for the
                                  Kaczmarz method  . . . . . . . . . . . . 443--473

Numerical Algorithms
Volume 86, Number 2, February, 2021

             Nira Gruberger and   
                    David Levin   Two algorithms for periodic extension on
                                  uniform grids  . . . . . . . . . . . . . 475--494
                 Laurent O. Jay   Symplecticness conditions of some low
                                  order partitioned methods for
                                  non-autonomous Hamiltonian systems . . . 495--514
                 Luba Sapir and   
               Tamara Kogan and   
                Ariel Sapir and   
                     Amir Sapir   Nonstationary vs. stationary iterative
                                  processes  . . . . . . . . . . . . . . . 515--535
      Carmen Arévalo and   
      Gustaf Söderlind and   
       Yiannis Hadjimichael and   
                    Imre Fekete   Local error estimation and step size
                                  control in adaptive linear multistep
                                  methods  . . . . . . . . . . . . . . . . 537--563
           Duong Viet Thong and   
               Vu Tien Dung and   
                    Yeol Je Cho   A new strong convergence for solving
                                  split variational inclusion problems . . 565--591
            Kimiki Tokutome and   
               Toshihiro Yamada   Acceleration of automatic
                                  differentiation of solutions to
                                  parabolic partial differential
                                  equations: a higher order discretization 593--635
               Salma Aljawi and   
                 Marco Marletta   On the eigenvalues of spectral gaps of
                                  matrix-valued Schrödinger operators . . . 637--657
            Hiroshi Sugiura and   
             Takemitsu Hasegawa   A truncated Clenshaw--Curtis formula
                                  approximates integrals over a
                                  semi-infinite interval . . . . . . . . . 659--674
                  S. Nemati and   
              Pedro M. Lima and   
            Delfim F. M. Torres   Numerical solution of a class of
                                  third-kind Volterra integral equations
                                  using Jacobi wavelets  . . . . . . . . . 675--691
                 Xinyuan Wu and   
                   Bin Wang and   
                      Lijie Mei   Oscillation-preserving algorithms for
                                  efficiently solving highly oscillatory
                                  second-order ODEs  . . . . . . . . . . . 693--727
                 Erdem Altuntac   Choice of the parameters in a
                                  primal--dual algorithm for Bregman
                                  iterated variational regularization  . . 729--759
                   Hong Sun and   
                  Zhi-zhong Sun   A fast temporal second-order compact ADI
                                  difference scheme for the 2D multi-term
                                  fractional wave equation . . . . . . . . 761--797
         Leonardo C. Araujo and   
João P. H. Sansão and   
        Adriano S. Vale-Cardoso   Fast computation of binomial
                                  coefficients . . . . . . . . . . . . . . 799--812
                 Xing Huang and   
                   Fen-Fen Yang   Distribution-dependent SDEs with Hölder
                                  continuous drift and $ \alpha $-stable
                                  noise  . . . . . . . . . . . . . . . . . 813--831
       Vladimir V. Bogdanov and   
                Yuriy S. Volkov   Near-optimal tension parameters in
                                  convexity preserving interpolation by
                                  generalized cubic splines  . . . . . . . 833--861
                    Chen Xu and   
              Chuanjun Chen and   
                  Xiaofeng Yang   Efficient, non-iterative, and decoupled
                                  numerical scheme for a new modified
                                  binary phase-field surfactant system . . 863--885
                      Minho Kim   Fast and stable evaluation of splines
                                  and their derivatives generated by the
                                  seven-direction quartic box-spline . . . 887--909
                   Ling Liu and   
                      Junjie Ma   Block collocation boundary value
                                  solutions of the first-kind Volterra
                                  integral equations . . . . . . . . . . . 911--932

Numerical Algorithms
Volume 86, Number 3, March, 2021

        Raffaele D'Ambrosio and   
                Carmela Scalone   On the numerical structure preservation
                                  of nonlinear damped stochastic
                                  oscillators  . . . . . . . . . . . . . . 933--952
          Krzysztof Gdawiec and   
          Wies\law Kotarski and   
             Agnieszka Lisowska   Newton's method with fractional
                                  derivatives and various iteration
                                  processes via visual analysis  . . . . . 953--1010
                     Xin Li and   
              Hong-lin Liao and   
                   Luming Zhang   A second-order fast compact scheme with
                                  unequal time-steps for subdiffusion
                                  problems . . . . . . . . . . . . . . . . 1011--1039
         Stefan Bara\'nczuk and   
                 Bogdan Szyd\lo   Two algorithms for the exchange lemma    1041--1050
           Abhimanyua Kumar and   
                D. K. Gupta and   
    Eulalia Martínez and   
           José L. Hueso   Convergence and dynamics of improved
                                  Chebyshev--Secant-type methods for non
                                  differentiable operators . . . . . . . . 1051--1070
               Zhaopeng Hao and   
                Wanrong Cao and   
                    Shengyue Li   Numerical correction of finite
                                  difference solution for two-dimensional
                                  space-fractional diffusion equations
                                  with boundary singularity  . . . . . . . 1071--1087
             Changqing Yang and   
                    Jianhua Hou   Jacobi spectral approximation for
                                  boundary value problems of nonlinear
                                  fractional pantograph differential
                                  equations  . . . . . . . . . . . . . . . 1089--1108
              Hatef Dastour and   
                   Wenyuan Liao   An optimal $ 13$-point finite difference
                                  scheme for a $2$D Helmholtz equation
                                  with a perfectly matched layer boundary
                                  condition  . . . . . . . . . . . . . . . 1109--1141
               Yonglei Fang and   
                  Xianfa Hu and   
                      Jiyong Li   Explicit pseudo two-step exponential
                                  Runge--Kutta methods for the numerical
                                  integration of first-order differential
                                  equations  . . . . . . . . . . . . . . . 1143--1163
               E. G. Birgin and   
      J. M. Martínez and   
                       A. Ramos   On constrained optimization with
                                  nonconvex regularization . . . . . . . . 1165--1188
          Rachid Ait-Haddou and   
                 Helmut Ruhland   Asymptotically optimal quadrature rules
                                  for uniform splines over the real line   1189--1223
             Wah June Leong and   
           Sharareh Enshaei and   
                   Sie Long Kek   Diagonal quasi-Newton methods via least
                                  change updating principle with weighted
                                  Frobenius norm . . . . . . . . . . . . . 1225--1241
                 M. Dessole and   
                    F. Marcuzzi   A massively parallel algorithm for
                                  Bordered Almost Block Diagonal Systems
                                  on GPUs  . . . . . . . . . . . . . . . . 1243--1263
                 T. Nikazad and   
                   M. Karimpour   Column-oriented algebraic iterative
                                  methods for nonnegative constrained
                                  least squares problems . . . . . . . . . 1265--1284
               Mirai Tanaka and   
                 Takayuki Okuno   Extension of the LP--Newton method to
                                  conic programming problems via
                                  semi-infinite representation . . . . . . 1285--1302
           Sebastian Banert and   
              Radu Ioan Bot and   
       Ernö Robert Csetnek   Fixing and extending some recent results
                                  on the ADMM algorithm  . . . . . . . . . 1303--1325
          Nahier Aldhafeeri and   
           Dimitrios Pappas and   
     Ivan P. Stanimirovi\'c and   
                  Milan Tasi\'c   Representations of generalized inverses
                                  via full-rank QDR decomposition  . . . . 1327--1337
             Evgenija D. Popova   Proving endpoint dependence in solving
                                  interval parametric linear systems . . . 1339--1358

Numerical Algorithms
Volume 86, Number 4, April, 2021

                   A. Taiwo and   
              T. O. Alakoya and   
                   O. T. Mewomo   Halpern-type iterative process for
                                  solving split common fixed point and
                                  monotone variational inclusion problem
                                  between Banach spaces  . . . . . . . . . 1359--1389
       Apostolos Hadjidimos and   
                Michael Tzoumas   On equivalence of three-parameter
                                  iterative methods for singular symmetric
                                  saddle-point problem . . . . . . . . . . 1391--1419
             R. M. Asharabi and   
                     J. Prestin   Accurate sampling formula for
                                  approximating the partial derivatives of
                                  bivariate analytic functions . . . . . . 1421--1441
                  Ying Wang and   
                 Fawang Liu and   
                 Liquan Mei and   
                      Vo V. Anh   A novel alternating-direction implicit
                                  spectral Galerkin method for a
                                  multi-term time-space fractional
                                  diffusion equation in three dimensions   1443--1474
              Roger Behling and   
          Yunier Bello-Cruz and   
             Luiz-Rafael Santos   On the circumcentered-reflection method
                                  for the convex feasibility problem . . . 1475--1494
                Yun-Bo Yang and   
                  Yao-Lin Jiang   Unconditional optimal error estimates of
                                  linearized backward Euler Galerkin FEMs
                                  for nonlinear Schrödinger--Helmholtz
                                  equations  . . . . . . . . . . . . . . . 1495--1522
                Jiming Yang and   
                      Jing Zhou   A two-grid method for discontinuous
                                  Galerkin approximations to nonlinear
                                  Sobolev equations  . . . . . . . . . . . 1523--1541
             Wei-Hong Zhang and   
                 Ai-Li Yang and   
                    Yu-Jiang Wu   Minimum residual modified HSS iteration
                                  method for a class of complex symmetric
                                  linear systems . . . . . . . . . . . . . 1543--1559
                 D. R. Sahu and   
                Ajeet Kumar and   
                  Shin Min Kang   Proximal point algorithms based on
                                  $S$-iterative technique for nearly
                                  asymptotically quasi-nonexpansive
                                  mappings and applications  . . . . . . . 1561--1590
               Yunong Zhang and   
                   Xiao Liu and   
                Yihong Ling and   
                   Min Yang and   
                Huanchang Huang   Continuous and discrete zeroing dynamics
                                  models using JMP function array and
                                  design formula for solving time-varying
                                  Sylvester-transpose matrix inequality    1591--1614
               Mahboub Baccouch   Analysis of optimal superconvergence of
                                  the local discontinuous Galerkin method
                                  for nonlinear fourth-order boundary
                                  value problems . . . . . . . . . . . . . 1615--1650
       Juliano B. Francisco and   
Douglas S. Gonçalves and   
Fermín S. V. Bazán and   
             Lila L. T. Paredes   Nonmonotone inexact restoration approach
                                  for minimization with orthogonality
                                  constraints  . . . . . . . . . . . . . . 1651--1684
                    Bo Song and   
              Yao-Lin Jiang and   
                  Xiaolong Wang   Analysis of two new parareal algorithms
                                  based on the
                                  Dirichlet--Neumann/Neumann--Neumann
                                  waveform relaxation method for the heat
                                  equation . . . . . . . . . . . . . . . . 1685--1703
               Zengzhen Tan and   
                    Rong Hu and   
                    Yaping Fang   A new method for solving split equality
                                  problems via projection dynamical
                                  systems  . . . . . . . . . . . . . . . . 1705--1719
             Tran Nhat Luan and   
             Tran Thi Khieu and   
                 Tra Quoc Khanh   A filter method with a priori and a
                                  posteriori parameter choice for the
                                  regularization of Cauchy problems for
                                  biharmonic equations . . . . . . . . . . 1721--1746
            Kamal Shanazari and   
                   Siamak Banei   A meshfree method with a non-overlapping
                                  domain decomposition method based on TPS
                                  for solving the forward-backward heat
                                  equation in two-dimension  . . . . . . . 1747--1767
                Luisa Fermo and   
         Maria Grazia Russo and   
                 Giada Serafini   Numerical treatment of the generalized
                                  Love integral equation . . . . . . . . . 1769--1789
                  Hua Zheng and   
                  Seakweng Vong   A two-step modulus-based matrix
                                  splitting iteration method for
                                  horizontal linear complementarity
                                  problems . . . . . . . . . . . . . . . . 1791--1810


Numerical Algorithms
Volume 87, Number 1, May, 2021

                   Minah Oh and   
                    Lina Ma and   
                    Kening Wang   $ P_1 $ finite element methods for a
                                  weighted elliptic state-constrained
                                  optimal control problem  . . . . . . . . 1--17
                Simon Telen and   
               Sascha Timme and   
                 Marc Van Barel   Backward error measures for roots of
                                  polynomials  . . . . . . . . . . . . . . 19--39
            Sergey P. Shary and   
                  Behnam Moradi   Solving interval linear least squares
                                  problems by PPS-methods  . . . . . . . . 41--75
         Marzieh Hasannasab and   
          Johannes Hertrich and   
            Friederike Laus and   
                Gabriele Steidl   Alternatives to the EM algorithm for ML
                                  estimation of location, scatter matrix,
                                  and degree of freedom of the Student $t$
                                  distribution . . . . . . . . . . . . . . 77--118
             J. M. Carnicer and   
                  E. Mainar and   
              J. M. Peña   Stability properties of disk polynomials 119--135
                Yingzhi Liu and   
                 Xiao-Chuan Cai   A central-line coarse preconditioner for
                                  Stokes flows in artery-like domains  . . 137--160
                  Bosu Choi and   
          Andrew Christlieb and   
                      Yang Wang   High-dimensional sparse Fourier
                                  algorithms . . . . . . . . . . . . . . . 161--186
                 Bengt Fornberg   Generalizing the trapezoidal rule in the
                                  complex plane  . . . . . . . . . . . . . 187--202
       Thái Anh Nhan and   
              Relja Vulanovi\'c   The Bakhvalov mesh: a complete
                                  finite-difference analysis of
                                  two-dimensional singularly perturbed
                                  convection-diffusion problems  . . . . . 203--221
               Jianfeng Luo and   
              Xiaozhou Wang and   
                        Yi Zhao   Convergence of discrete approximation
                                  for differential linear stochastic
                                  complementarity systems  . . . . . . . . 223--262
          Heinz H. Bauschke and   
                 Hui Ouyang and   
                    Xianfu Wang   On the linear convergence of
                                  circumcentered isometry methods  . . . . 263--297
                  Peng Wang and   
                Yanzhao Cao and   
               Xiaoying Han and   
                  Peter Kloeden   Mean-square convergence of numerical
                                  methods for random ordinary differential
                                  equations  . . . . . . . . . . . . . . . 299--333
              Pham Ngoc Anh and   
                T. V. Thang and   
                 H. T. C. Thach   Halpern projection methods for solving
                                  pseudomonotone multivalued variational
                                  inequalities in Hilbert spaces . . . . . 335--363
               Shan-Mou Cao and   
                   Zeng-Qi Wang   PMHSS iteration method and
                                  preconditioners for Stokes control
                                  PDE-constrained optimization problems    365--380
                    Pin Lyu and   
                  Seakweng Vong   A fast linearized numerical method for
                                  nonlinear time-fractional diffusion
                                  equations  . . . . . . . . . . . . . . . 381--408
                 X. Antoine and   
                   E. Lorin and   
                       Y. Zhang   Derivation and analysis of computational
                                  methods for fractional Laplacian
                                  equations with absorbing layers  . . . . 409--444
              Toni Karvonen and   
      Simo Särkkä and   
              Ken'ichiro Tanaka   Kernel-based interpolation at
                                  approximate Fekete points  . . . . . . . 445--468
              Toni Karvonen and   
      Simo Särkkä and   
              Ken'ichiro Tanaka   Correction to: Kernel-based
                                  interpolation at approximate Fekete
                                  points . . . . . . . . . . . . . . . . . 469--471
               Stefan Kunis and   
                  Dominik Nagel   On the condition number of Vandermonde
                                  matrices with pairs of nearly-colliding
                                  nodes  . . . . . . . . . . . . . . . . . 473--496
               Stefan Kunis and   
                  Dominik Nagel   Correction to: On the condition number
                                  of Vandermonde matrices with pairs of
                                  nearly-colliding nodes . . . . . . . . . 497--497

Numerical Algorithms
Volume 87, Number 2, June, 2021

              Xue-Feng Duan and   
                    Juan Li and   
               Shan-Qi Duan and   
                  Qing-Wen Wang   Numerical method for the generalized
                                  nonnegative tensor factorization problem 499--510
                T. E. Simos and   
                  Ch. Tsitouras   Evolutionary derivation of Runge--Kutta
                                  pairs for addressing inhomogeneous
                                  linear problems  . . . . . . . . . . . . 511--525
               Simeon Reich and   
           Duong Viet Thong and   
               Qiao-Li Dong and   
               Xiao-Huan Li and   
                   Vu Tien Dung   New algorithms and convergence theorems
                                  for solving variational inequalities
                                  with non-Lipschitz mappings  . . . . . . 527--549
                Guoyu Zhang and   
            Chengming Huang and   
                 Mingfa Fei and   
                       Nan Wang   A linearized high-order Galerkin finite
                                  element approach for two-dimensional
                                  nonlinear time fractional Klein--Gordon
                                  equations  . . . . . . . . . . . . . . . 551--574
                Haoen Huang and   
                Dongyang Fu and   
             Guancheng Wang and   
                   Long Jin and   
                  Shan Liao and   
                      Huan Wang   Modified Newton integration algorithm
                                  with noise suppression for online
                                  dynamic nonlinear optimization . . . . . 575--599
                Fu-Rong Lin and   
                Qiu-Ya Wang and   
                  Xiao-Qing Jin   Crank--Nicolson-weighted-shifted--Grünwald-difference schemes for space Riesz variable-order fractional diffusion equations 601--631
                 Zhengguang Liu   Novel energy stable schemes for
                                  Swift--Hohenberg model with
                                  quadratic-cubic nonlinearity based on
                                  the $ H^{-1} $-gradient flow approach    633--650
                  Fang Chen and   
                     Tian-Yi Li   Fast and improved scaled HSS
                                  preconditioner for steady-state
                                  space-fractional diffusion equations . . 651--665
         Francesco Mezzadri and   
             Emanuele Galligani   Modulus-based matrix splitting methods
                                  for a class of horizontal nonlinear
                                  complementarity problems . . . . . . . . 667--687
               Jinzhi Huang and   
                  Zhongxiao Jia   On choices of formulations of computing
                                  the generalized singular value
                                  decomposition of a large matrix pair . . 689--718
                Longfei Ren and   
             Chengjing Wang and   
                Peipei Tang and   
                       Zheng Ma   A dual symmetric Gauss--Seidel
                                  alternating direction method of
                                  multipliers for hyperspectral sparse
                                  unmixing . . . . . . . . . . . . . . . . 719--754
                R. Dehghani and   
                N. Bidabadi and   
                 M. M. Hosseini   Using nonlinear functions to approximate
                                  a new quasi-Newton method for
                                  unconstrained optimization problems  . . 755--777
       Geovani N. Grapiglia and   
              Ekkehard W. Sachs   A generalized worst-case complexity
                                  analysis for non-monotone line searches  779--796
                  Zhao Yang and   
                 Rong Huang and   
                    Wei Zhu and   
                   Jianzhou Liu   Accurate solutions of structured
                                  generalized Kronecker product linear
                                  systems  . . . . . . . . . . . . . . . . 797--818
               Andrea Raffo and   
                Silvia Biasotti   Weighted quasi-interpolant spline
                                  approximations: Properties and
                                  applications . . . . . . . . . . . . . . 819--847
                  Avinash Malik   Adaptive step size numerical integration
                                  for stochastic differential equations
                                  with discontinuous drift and diffusion   849--872
                      Long Yuan   A plane wave least squares method for
                                  the Maxwell equations in anisotropic
                                  media  . . . . . . . . . . . . . . . . . 873--894
               Igor Omelyan and   
              Yuri Kozitsky and   
               Krzysztof Pilorz   Algorithm for numerical solutions to the
                                  kinetic equation of a spatial population
                                  dynamics model with coalescence and
                                  repulsive jumps  . . . . . . . . . . . . 895--919

Numerical Algorithms
Volume 87, Number 3, July, 2021

            Chengjian Zhang and   
                  Xiaoqiang Yan   Convergence and stability of extended
                                  BBVMs for nonlinear
                                  delay-differential--algebraic equations
                                  with piecewise continuous arguments  . . 921--937
                    Xu Chen and   
                  Deng Ding and   
               Siu-Long Lei and   
                    Wenfei Wang   An implicit--explicit preconditioned
                                  direct method for pricing options under
                                  regime-switching tempered fractional
                                  partial differential models  . . . . . . 939--965
                Carla Jesus and   
           Ercília Sousa   Numerical solutions for asymmetric Lévy
                                  flights  . . . . . . . . . . . . . . . . 967--999
                Filip Chudy and   
                 Pawe\l Wo\'zny   Fast and accurate evaluation of dual
                                  Bernstein polynomials  . . . . . . . . . 1001--1015
              Munish Kansal and   
             Alicia Cordero and   
               Sonia Bhalla and   
             Juan R. Torregrosa   New fourth- and sixth-order classes of
                                  iterative methods for solving systems of
                                  nonlinear equations and their stability
                                  analysis . . . . . . . . . . . . . . . . 1017--1060
            Awad H. Al-Mohy and   
                   Bahar Arslan   The complex step approximation to the
                                  higher order Fréchet derivatives of a
                                  matrix function  . . . . . . . . . . . . 1061--1074
                 D. R. Sahu and   
                  Y. J. Cho and   
                 Q. L. Dong and   
              M. R. Kashyap and   
                       X. H. Li   Inertial relaxed CQ algorithms for
                                  solving a split feasibility problem in
                                  Hilbert spaces . . . . . . . . . . . . . 1075--1095
                   L. Gr. Ixaru   Numerical computation of the
                                  coefficients in exponential fitting  . . 1097--1106
               Harry Oviedo and   
               Oscar Dalmau and   
                      Hugo Lara   Two adaptive scaled gradient projection
                                  methods for Stiefel manifold constrained
                                  optimization . . . . . . . . . . . . . . 1107--1127
                Xindong Liu and   
                  Zili Chen and   
                    Jinxing Liu   On the split common fixed point problem
                                  for strict quasi-$ \varphi
                                  $-pseudocontractive mappings in Banach
                                  spaces . . . . . . . . . . . . . . . . . 1129--1145
           Stefan A. Funken and   
                   Anja Schmidt   A coarsening algorithm on adaptive
                                  red--green--blue refined meshes  . . . . 1147--1176
         Alessandro Buccini and   
              Mirjeta Pasha and   
                 Lothar Reichel   Linearized Krylov subspace Bregman
                                  iteration with nonnegativity constraint  1177--1200
                 Tong Zhang and   
                  Mengmeng Duan   Stability and convergence analysis of
                                  stabilized finite element method for the
                                  Kelvin--Voigt viscoelastic fluid flow
                                  model  . . . . . . . . . . . . . . . . . 1201--1228
                   Fan Yang and   
                      Qu Pu and   
                   Xiao-Xiao Li   The fractional Landweber method for
                                  identifying the space source term
                                  problem for time-space fractional
                                  diffusion equation . . . . . . . . . . . 1229--1255
      Lakhdar Elbouyahyaoui and   
           Mohammed Heyouni and   
            Azita Tajaddini and   
           Farid Saberi-Movahed   On restarted and deflated block FOM and
                                  GMRES methods for sequences of shifted
                                  linear systems . . . . . . . . . . . . . 1257--1299
                  Xueli Bai and   
                 Hongjin He and   
                  Chen Ling and   
                   Guanglu Zhou   A nonnegativity preserving algorithm for
                                  multilinear systems with nonsingular $
                                  \mathcal {M} $-tensors . . . . . . . . . 1301--1320
                Yuying Zhao and   
               Xiaojie Wang and   
                  Mengchao Wang   On the backward Euler method for a
                                  generalized Ait--Sahalia-type rate model
                                  with Poisson jumps . . . . . . . . . . . 1321--1341
                     Qun Li and   
                     Bing Zheng   Scaled three-term derivative-free
                                  methods for solving large-scale
                                  nonlinear monotone equations . . . . . . 1343--1367

Numerical Algorithms
Volume 87, Number 4, August, 2021

      Fátima Lizarte and   
     Teresa E. Pérez and   
         Miguel A. Piñar   The radial part of a class of Sobolev
                                  polynomials on the unit ball . . . . . . 1369--1389
                 Amparo Gil and   
              Javier Segura and   
                  Nico M. Temme   Fast and reliable high-accuracy
                                  computation of Gauss--Jacobi quadrature  1391--1419
              F. P. A. Beik and   
                 A. El Ichi and   
                  K. Jbilou and   
                      R. Sadaka   Tensor extrapolation methods with
                                  applications . . . . . . . . . . . . . . 1421--1444
                    Jun Liu and   
              Yao-Lin Jiang and   
             Xiao-Long Wang and   
                       Yan Wang   Waveform relaxation for fractional
                                  sub-diffusion equations  . . . . . . . . 1445--1478
               Quang A Dang and   
                Quang Long Dang   Simple numerical methods of second- and
                                  third-order convergence for solving a
                                  fully third-order nonlinear boundary
                                  value problem  . . . . . . . . . . . . . 1479--1499
                  Ting Zhao and   
                Hongwei Liu and   
                     Zexian Liu   New subspace minimization conjugate
                                  gradient methods based on regularization
                                  model for unconstrained optimization . . 1501--1534
               Iwona Skalna and   
            Milan Hladík   On preconditioning and solving an
                                  extended class of interval parametric
                                  linear systems . . . . . . . . . . . . . 1535--1562
              Yanzhen Zhang and   
                    Ying Li and   
                Musheng Wei and   
                      Hong Zhao   An algorithm based on QSVD for the
                                  quaternion equality constrained least
                                  squares problem  . . . . . . . . . . . . 1563--1576
                   Ali Abdi and   
             Gholamreza Hojjati   Second derivative backward
                                  differentiation formulae for ODEs based
                                  on barycentric rational interpolants . . 1577--1591
                Guangzhi Du and   
                      Liyun Zuo   Local and parallel finite element
                                  methods for the coupled Stokes\slash
                                  Darcy model  . . . . . . . . . . . . . . 1593--1611
Ana Alonso Rodríguez and   
          Francesca Rapetti and   
                   Elena Zappon   New degrees of freedom for high-order
                                  Whitney approximations of Darcy's flows  1613--1634
                Edmond Chow and   
            Andreas Frommer and   
                Daniel B. Szyld   Asynchronous Richardson iterations:
                                  theory and practice  . . . . . . . . . . 1635--1651
                    Qi Ding and   
                   Bo Zheng and   
                 Yueqiang Shang   Local and parallel finite element
                                  algorithms for the time-dependent Oseen
                                  equations  . . . . . . . . . . . . . . . 1653--1677
               Milad Karimi and   
            Fatemeh Zallani and   
                Khosro Sayevand   Wavelet regularization strategy for the
                                  fractional inverse diffusion problem . . 1679--1705
                 Longbin Wu and   
                 Zhong Chen and   
                   Xiaohua Ding   A stable minimal search method for
                                  solving multi-order fractional
                                  differential equations based on
                                  reproducing kernel space . . . . . . . . 1707--1727
               John Maclean and   
               J. E. Bunder and   
                  A. J. Roberts   A toolbox of equation-free functions in
                                  Matlab /Octave for efficient system
                                  level simulation . . . . . . . . . . . . 1729--1748
              Chaobao Huang and   
                  Martin Stynes   $ \alpha $-robust error analysis of a
                                  mixed finite element method for a
                                  time-fractional biharmonic equation  . . 1749--1766
                   Baohua Huang   Numerical study on Moore--Penrose
                                  inverse of tensors via Einstein product  1767--1797


Numerical Algorithms
Volume 88, Number 1, September, 2021

                  Xuhong Yu and   
                  Xueqin Ye and   
                 Zhongqing Wang   A fast solver of Legendre--Laguerre
                                  spectral element method for the
                                  Camassa--Holm equation . . . . . . . . . 1--23
              Holger Rauhut and   
                Zeljka Stojanac   Tensor theta norms and low rank recovery 25--66
            Mohammad Maleki and   
                     Ali Davari   Analysis of an adaptive collocation
                                  solution for retarded and neutral delay
                                  systems  . . . . . . . . . . . . . . . . 67--91
                Zhendong Gu and   
                   Yinying Kong   Spectral collocation method for Caputo
                                  fractional terminal value problems . . . 93--111
          Khadijeh Nedaiasl and   
             Raziyeh Dehbozorgi   Galerkin finite element method for
                                  nonlinear fractional differential
                                  equations  . . . . . . . . . . . . . . . 113--141
           Behrouz Kheirfam and   
            Naser Osmanpour and   
             Mohammad Keyanpour   An arc-search infeasible interior-point
                                  method for semidefinite optimization
                                  with the negative infinity neighborhood  143--163
             Jian-Jun Zhang and   
                    Wan-Zhou Ye   A modulus-based iterative method for
                                  sparse signal recovery . . . . . . . . . 165--190
                Rui-lian Du and   
                  Zhi-zhong Sun   Temporal second-order difference methods
                                  for solving multi-term time fractional
                                  mixed diffusion and wave equations . . . 191--226
                Yair Censor and   
       Edgar Garduño and   
             Elias S. Helou and   
                Gabor T. Herman   Derivative-free superiorization:
                                  principle and algorithm  . . . . . . . . 227--248
            Naga Raju Gande and   
              Ashlesha A. Bhise   Modified third and fifth order WENO
                                  schemes for inviscid compressible flows  249--279
           Thomas C. H. Lux and   
            Layne T. Watson and   
             Tyler H. Chang and   
                  Yili Hong and   
                   Kirk Cameron   Interpolation of sparse high-dimensional
                                  data . . . . . . . . . . . . . . . . . . 281--313
   Aurelien Junior Noupelah and   
                 Antoine Tambue   Optimal strong convergence rates of some
                                  Euler-type timestepping schemes for the
                                  finite element discretization SPDEs
                                  driven by additive fractional Brownian
                                  motion and Poisson random measure  . . . 315--363
             Clemens Hofreither   An algorithm for best rational
                                  approximation based on barycentric
                                  rational interpolation . . . . . . . . . 365--388
               Jianghua Yin and   
                Jinbao Jian and   
             Xianzhen Jiang and   
                Meixing Liu and   
                   Lingzhi Wang   A hybrid three-term conjugate gradient
                                  projection method for constrained
                                  nonlinear monotone equations with
                                  applications . . . . . . . . . . . . . . 389--418
                  Ying Wang and   
                  Gang Wang and   
                  Linlin Bu and   
                     Liquan Mei   Two second-order and linear numerical
                                  schemes for the multi-dimensional
                                  nonlinear time-fractional Schrödinger
                                  equation . . . . . . . . . . . . . . . . 419--451
          Taylor Brysiewicz and   
      Jose Israel Rodriguez and   
              Frank Sottile and   
                    Thomas Yahl   Solving decomposable sparse systems  . . 453--474
              Aytekin Cibik and   
            Fatma G. Eroglu and   
               Songül Kaya   On the performance of curvature
                                  stabilization time stepping methods for
                                  double-diffusive natural convection
                                  flows in the presence of magnetic field  475--498
               Junjiang Lai and   
                 Fawang Liu and   
                  Vo V. Anh and   
                    Qingxia Liu   A space-time finite element method for
                                  solving linear Riesz space fractional
                                  partial differential equations . . . . . 499--520
         Marzieh Hasannasab and   
          Johannes Hertrich and   
            Friederike Laus and   
                Gabriele Steidl   Correction to: Alternatives to the EM
                                  algorithm for ML estimation of location,
                                  scatter matrix, and degree of freedom of
                                  the Student $t$ distribution . . . . . . 521--522

Numerical Algorithms
Volume 88, Number 2, October, 2021

                    Cao Wen and   
                   Yang Liu and   
                  Baoli Yin and   
                    Hong Li and   
                   Jinfeng Wang   Fast second-order time two-mesh mixed
                                  finite element method for a nonlinear
                                  distributed-order sub-diffusion model    523--553
                   Yuanpeng Zhu   A class of blending functions with $
                                  C^\infty $ smoothness  . . . . . . . . . 555--582
    Omar De la Cruz Cabrera and   
                 Mona Matar and   
                 Lothar Reichel   Centrality measures for node-weighted
                                  networks via line graphs and the matrix
                                  exponential  . . . . . . . . . . . . . . 583--614
Diana Estévez Schwarz and   
             René Lamour   Projected explicit and implicit Taylor
                                  series methods for DAEs  . . . . . . . . 615--646
              Stefano Pozza and   
              Miroslav Prani\'c   The Gauss quadrature for general linear
                                  functionals, Lanczos algorithm, and
                                  minimal partial realization  . . . . . . 647--678
             M. C. De Bonis and   
                D. Occorsio and   
              W. Themistoclakis   Filtered interpolation for solving
                                  Prandtl's integro-differential equations 679--709
               Xue-Xia Wang and   
              Jian-Qing Sun and   
                 Ying-Nan Zhang   A numerical study on the $N$-periodic
                                  wave solutions of two coupled bilinear
                                  equations  . . . . . . . . . . . . . . . 711--728
             Mehdi Delkhosh and   
                 Kourosh Parand   A new computational method based on
                                  fractional Lagrange functions to solve
                                  multi-term fractional differential
                                  equations  . . . . . . . . . . . . . . . 729--766
               Ian D. Coope and   
              Rachael Tappenden   Gradient and diagonal Hessian
                                  approximations using quadratic
                                  interpolation models and aligned regular
                                  bases  . . . . . . . . . . . . . . . . . 767--791
                       Yan Tian   Barycentric prolate interpolation and
                                  pseudospectral differentiation . . . . . 793--811
               Simeon Reich and   
           Duong Viet Thong and   
          Prasit Cholamjiak and   
                 Luong Van Long   Inertial projection-type methods for
                                  solving pseudomonotone variational
                                  inequality problems in Hilbert space . . 813--835
         Leonardo C. Araujo and   
João P. H. Sansão and   
        Adriano S. Vale-Cardoso   Fast computation of multinomial
                                  coefficients . . . . . . . . . . . . . . 837--851
                 Florian Mannel   Convergence properties of the
                                  Broyden-like method for mixed
                                  linear-nonlinear systems of equations    853--881
                   Min Yang and   
               Yunong Zhang and   
                     Haifeng Hu   Relationship between time-instant number
                                  and precision of ZeaD formulas with
                                  proofs . . . . . . . . . . . . . . . . . 883--902
                 Yabing Sun and   
                   Weidong Zhao   Numerical methods for mean-field
                                  stochastic differential equations with
                                  jumps  . . . . . . . . . . . . . . . . . 903--937
    François Moutier and   
            Arnaud Vandaele and   
                 Nicolas Gillis   Off-diagonal symmetric nonnegative
                                  matrix factorization . . . . . . . . . . 939--963
              Zhongxiao Jia and   
                       Haibo Li   The joint bidiagonalization process with
                                  partial reorthogonalization  . . . . . . 965--992
                  Hezhi Luo and   
                 Sikai Chen and   
                     Huixian Wu   A new branch-and-cut algorithm for
                                  non-convex quadratic programming via
                                  alternative direction method and
                                  semidefinite relaxation  . . . . . . . . 993--1024

Numerical Algorithms
Volume 88, Number 3, November, 2021

         Andrzej Kuzelewski and   
              Eugeniusz Zieniuk   The FMM accelerated PIES with the
                                  modified binary tree in solving
                                  potential problems for the domains with
                                  curvilinear boundaries . . . . . . . . . 1025--1050
        Mootta Prangprakhon and   
                   Nimit Nimana   Extrapolated sequential constraint
                                  method for variational inequality over
                                  the intersection of fixed-point sets . . 1051--1075
               Dianming Hou and   
                 Hongyi Zhu and   
                     Chuanju Xu   Highly efficient schemes for
                                  time-fractional Allen--Cahn equation
                                  using extended SAV approach  . . . . . . 1077--1108
                  Fan Jiang and   
               Zhongming Wu and   
                 Xingju Cai and   
                 Hongchao Zhang   A first-order inexact primal--dual
                                  algorithm for a class of convex-concave
                                  saddle point problems  . . . . . . . . . 1109--1136
                 Dandan Xue and   
                     Yanren Hou   A second-order decoupled algorithm with
                                  different subdomain time steps for the
                                  non-stationary Stokes/Darcy model  . . . 1137--1182
          Rachid Ait-Haddou and   
          Marie-Laurence Mazure   Blossoming and Hermite--Padé
                                  approximation for hypergeometric series  1183--1214
                Mircea Ivan and   
                  Vicuta Neagos   A representation of the interpolation
                                  polynomial . . . . . . . . . . . . . . . 1215--1231
            Walter Gautschi and   
      Gradimir V. Milovanovi\'c   Orthogonal polynomials relative to a
                                  generalized Marchenko--Pastur
                                  probability measure  . . . . . . . . . . 1233--1249
                   Yigui Ou and   
                    Haichan Lin   A neurodynamic approach to zero-one
                                  quadratic programming  . . . . . . . . . 1251--1274
            Stefano Cipolla and   
            Marco Donatelli and   
               Fabio Durastante   Regularization of inverse problems by an
                                  approximate matrix-function technique    1275--1308
                 Hong Zhang and   
                 Jingye Yan and   
                    Xu Qian and   
                Xianming Gu and   
                    Songhe Song   On the preserving of the maximum
                                  principle and energy stability of
                                  high-order implicit--explicit
                                  Runge--Kutta schemes for the
                                  space-fractional Allen--Cahn equation    1309--1336
      Gérard Meurant and   
                  Jan Papez and   
              Petr Tichý   Accurate error estimation in CG  . . . . 1337--1359
              Xiaoshen Wang and   
                     Xiu Ye and   
                 Shangyou Zhang   Weak Galerkin finite element methods
                                  with or without stabilizers  . . . . . . 1361--1381
             Davide Palitta and   
         Patrick Kürschner   On the convergence of Krylov methods
                                  with low-rank truncations  . . . . . . . 1383--1417
                 G. N. Ogwo and   
               C. Izuchukwu and   
                   O. T. Mewomo   Inertial methods for finding
                                  minimum-norm solutions of the split
                                  variational inequality problem beyond
                                  monotonicity . . . . . . . . . . . . . . 1419--1456
                 Ying Jiang and   
                    Bo Wang and   
                      Dandan Yu   A fast Fourier--Galerkin method solving
                                  boundary integral equations for the
                                  Helmholtz equation with exponential
                                  convergence  . . . . . . . . . . . . . . 1457--1491
              Hongchao Kang and   
              Chunzhi Xiang and   
                 Zhenhua Xu and   
                      Hong Wang   Efficient quadrature rules for the
                                  singularly oscillatory Bessel transforms
                                  and their error analysis . . . . . . . . 1493--1521
             Guangqing Long and   
                   Rong Jie and   
                     Li-bin Liu   Multilevel augmentation methods for
                                  eigen-problems of compact integral
                                  operators  . . . . . . . . . . . . . . . 1523--1540

Numerical Algorithms
Volume 88, Number 4, December, 2021

             Shenglong Zhou and   
                   Lili Pan and   
                     Naihua Xiu   Newton method for $ l_0 $-regularized
                                  optimization . . . . . . . . . . . . . . 1541--1570
                 Xiaohua Ma and   
                Chengming Huang   An accurate Legendre collocation method
                                  for third-kind Volterra
                                  integro-differential equations with
                                  non-smooth solutions . . . . . . . . . . 1571--1593
         Alessandro Buccini and   
                 Lothar Reichel   Generalized cross validation for $
                                  l^p$--$ l^q$ minimization  . . . . . . . 1595--1616
           Jalil Rashidinia and   
          Tahereh Eftekhari and   
             Khosrow Maleknejad   A novel operational vector for solving
                                  the general form of distributed order
                                  fractional differential equations in the
                                  time domain based on the second kind
                                  Chebyshev wavelets . . . . . . . . . . . 1617--1639
                Guoguo Yang and   
              Kevin Burrage and   
              Yoshio Komori and   
             Pamela Burrage and   
                   Xiaohua Ding   A class of new Magnus-type methods for
                                  semi-linear non-commutative Itô
                                  stochastic differential equations  . . . 1641--1665
Andreea-Paula Voinea-Marinescu and   
                Liviu Marin and   
                 Franck Delvare   BEM-Fading regularization algorithm for
                                  Cauchy problems in $2$D anisotropic heat
                                  conduction . . . . . . . . . . . . . . . 1667--1702
          Nasrin Jahan Nasu and   
     Md. Abdullah Al Mahbub and   
             Shahid Hussain and   
                  Haibiao Zheng   Two-grid finite element method for the
                                  dual-permeability-Stokes fluid flow
                                  model  . . . . . . . . . . . . . . . . . 1703--1731
                 Ya-Jie Liu and   
             Xiang-Ke Chang and   
                      Yi He and   
                   Xing-Biao Hu   Generalizations of Shanks transformation
                                  and corresponding convergence
                                  acceleration algorithms via pfaffians    1733--1756
                   Bing Tan and   
               Xiaolong Qin and   
                   Jen-Chih Yao   Two modified inertial projection
                                  algorithms for bilevel pseudomonotone
                                  variational inequalities with
                                  applications to optimal control problems 1757--1786
              Xuezhong Wang and   
                Changxin Mo and   
                 Maolin Che and   
                      Yimin Wei   Accelerated dynamical approaches for
                                  finding the unique positive solution of
                                  $ \mathcal {K S} $-tensor equations  . . 1787--1810
            P. S. M. Santos and   
                G. N. Silva and   
                 R. C. M. Silva   Newton-type method for solving
                                  generalized inclusion  . . . . . . . . . 1811--1829
                A. Taherian and   
                  F. Toutounian   Block GPBi--CG method for solving
                                  nonsymmetric linear systems with
                                  multiple right-hand sides and its
                                  convergence analysis . . . . . . . . . . 1831--1850
               J. L. Gracia and   
                   E. O'Riordan   Numerical approximations to a singularly
                                  perturbed convection--diffusion problem
                                  with a discontinuous initial condition   1851--1873
               Dingwen Deng and   
                       Qiang Wu   The studies of the linearly modified
                                  energy-preserving finite difference
                                  methods applied to solve two-dimensional
                                  nonlinear coupled wave equations . . . . 1875--1914
                 Qingtao Li and   
                    Guangzhi Du   Local and parallel finite element
                                  methods based on two-grid
                                  discretizations for the nonstationary
                                  Navier--Stokes equations . . . . . . . . 1915--1936
                J. Alahmadi and   
               H. Alqahtani and   
             M. S. Prani\'c and   
                     L. Reichel   Gauss--Laurent-type quadrature rules for
                                  the approximation of functionals of a
                                  nonsymmetric matrix  . . . . . . . . . . 1937--1964
                 Biao Zhang and   
                 Weiping Bu and   
                     Aiguo Xiao   Efficient difference method for
                                  time-space fractional diffusion equation
                                  with Robin fractional derivative
                                  boundary condition . . . . . . . . . . . 1965--1988
                  Fang Chen and   
                     Yu Zhu and   
             Galina V. Muratova   Two-step modulus-based matrix splitting
                                  iteration methods for retinex problem    1989--2005


Numerical Algorithms
Volume 89, Number 1, January, 2022

                    Wen-Ting Wu   On two-subspace randomized extended
                                  Kaczmarz method for solving large linear
                                  least-squares problems . . . . . . . . . 1--31
                 C. S. Chen and   
    Malgorzata A. Jankowska and   
           Andreas Karageorghis   RBF-DQ algorithms for elliptic problems
                                  in axisymmetric domains  . . . . . . . . 33--63
             Zhengguang Liu and   
                      Xiaoli Li   Step-by-step solving schemes based on
                                  scalar auxiliary variable and invariant
                                  energy quadratization approaches for
                                  gradient flows . . . . . . . . . . . . . 65--86
                   Thomas Flynn   A persistent adjoint method with dynamic
                                  time-scaling and an application to mass
                                  action kinetics  . . . . . . . . . . . . 87--113
               Nilima Nigam and   
                   Sara Pollock   A simple extrapolation method for
                                  clustered eigenvalues  . . . . . . . . . 115--143
             Phung Van Manh and   
            Nguyen Van Trao and   
            Phan Thanh Tung and   
                  Le Ngoc Cuong   Taylor type and Hermite type
                                  interpolants in $ \mathbb {R}^n $  . . . 145--166
                  Jie Jiang and   
                 Hailin Sun and   
                       Bin Zhou   Convergence analysis of sample average
                                  approximation for a class of stochastic
                                  nonlinear complementarity problems: from
                                  two-stage to multistage  . . . . . . . . 167--194
                Junjun Wang and   
                    Meng Li and   
                       Yu Zhang   Superconvergence analysis of
                                  BDF--Galerkin FEM for nonlinear
                                  Schrödinger equation  . . . . . . . . . . 195--222
               Xin-long Luo and   
                  Hang Xiao and   
                     Jia-hui Lv   Continuation Newton methods with the
                                  residual trust-region time-stepping
                                  scheme for nonlinear equations . . . . . 223--247
           Makoto Yamashita and   
              Einosuke Iida and   
                   Yaguang Yang   An infeasible interior-point arc-search
                                  algorithm for nonlinear constrained
                                  optimization . . . . . . . . . . . . . . 249--275
            Leszek Plaskota and   
                 Pawe\l Samoraj   Automatic approximation using
                                  asymptotically optimal adaptive
                                  interpolation  . . . . . . . . . . . . . 277--302
             Andrew V. Terekhov   Generating the Laguerre expansion
                                  coefficients by solving a
                                  one-dimensional transport equation . . . 303--322
             Jiansong Zhang and   
                     Yun Yu and   
                 Bingjie Ji and   
                         Yue Yu   Numerical analysis of incompressible
                                  wormhole propagation with
                                  mass-preserving characteristic mixed
                                  finite element procedure . . . . . . . . 323--340
               Deepika Garg and   
            Sashikumaar Ganesan   Generalized local projection stabilized
                                  nonconforming finite element methods for
                                  Darcy equations  . . . . . . . . . . . . 341--369
                  Jan Papez and   
         Martin Vohralík   Inexpensive guaranteed and efficient
                                  upper bounds on the algebraic error in
                                  finite element discretizations . . . . . 371--407
                  P. N. Anh and   
                T. V. Thang and   
                 H. T. C. Thach   A subgradient proximal method for
                                  solving a class of monotone multivalued
                                  variational inequality problems  . . . . 409--430
              Ihor Borachok and   
               Roman Chapko and   
             B. Tomas Johansson   A method of fundamental solutions for
                                  heat and wave propagation from lateral
                                  Cauchy data  . . . . . . . . . . . . . . 431--449
                    Qi Wang and   
               Zhanwen Yang and   
                 Chengchao Zhao   Numerical blow-up analysis of the
                                  explicit $ L_1 $-scheme for fractional
                                  ordinary differential equations  . . . . 451--463

Numerical Algorithms
Volume 89, Number 2, February, 2022

           Mehakpreet Singh and   
                   Gavin Walker   Finite volume approach for fragmentation
                                  equation and its mathematical analysis   465--486
Filánder A. Sequeira and   
    Helen Guillén-Oviedo   Some aspects on the computational
                                  implementation of diverse terms arising
                                  in mixed virtual element formulations    487--528
                    Frank Uhlig   On the unitary block-decomposability of
                                  1-parameter matrix flows and static
                                  matrices . . . . . . . . . . . . . . . . 529--549
        Niel Van Buggenhout and   
             Marc Van Barel and   
                  Raf Vandebril   Generation of orthogonal rational
                                  functions by procedures for structured
                                  matrices . . . . . . . . . . . . . . . . 551--582
    Lateef Olakunle Jolaoso and   
                  Maggie Aphane   An explicit subgradient extragradient
                                  algorithm with self-adaptive stepsize
                                  for pseudomonotone equilibrium problems
                                  in Banach spaces . . . . . . . . . . . . 583--610
                    Hanzhang Hu   Two-grid method for compressible
                                  miscible displacement problem by mixed
                                  finite element methods and expanded
                                  mixed finite element method of
                                  characteristics  . . . . . . . . . . . . 611--636
         N. Hoseini Monjezi and   
                  S. Nobakhtian   A proximal bundle-based algorithm for
                                  nonsmooth constrained multiobjective
                                  optimization problems with inexact data  637--674
                     Yvan Notay   Rigorous convergence proof of space-time
                                  multigrid with coarsening in space . . . 675--699
     Sven-Erik Ekström and   
                 Paris Vassalos   A matrix-less method to approximate the
                                  spectrum and the spectral function of
                                  Toeplitz matrices with real eigenvalues  701--720
        Cónall Kelly and   
                Gabriel J. Lord   Adaptive Euler methods for stochastic
                                  systems with non-globally Lipschitz
                                  coefficients . . . . . . . . . . . . . . 721--747
                Huanxin Cao and   
             Hongchan Zheng and   
                        Gang Hu   Adjusting the energy of Ball surfaces by
                                  modifying unfixed control balls  . . . . 749--768
              O. K. Oyewole and   
                H. A. Abass and   
            A. A. Mebawondu and   
                    K. O. Aremu   A Tseng extragradient method for solving
                                  variational inequality problems in
                                  Banach spaces  . . . . . . . . . . . . . 769--789
                Sunil Kumar and   
           Shashikant Kumar and   
                          Sumit   A posteriori error estimation for
                                  quasilinear singularly perturbed
                                  problems with integral boundary
                                  condition  . . . . . . . . . . . . . . . 791--809
              Dang Van Hieu and   
               Simeon Reich and   
                Pham Ky Anh and   
                  Nguyen Hai Ha   A new proximal-like algorithm for
                                  solving split variational inclusion
                                  problems . . . . . . . . . . . . . . . . 811--837
                     Rui Li and   
                 Zhi-Lin Li and   
                   Jun-Feng Yin   A generalized modulus-based Newton
                                  method for solving a class of non-linear
                                  complementarity problems with
                                  $P$-matrices . . . . . . . . . . . . . . 839--853
               Guoting Song and   
                  Junhao Hu and   
               Shuaibin Gao and   
                     Xiaoyue Li   The strong convergence and stability of
                                  explicit approximations for nonlinear
                                  stochastic delay differential equations  855--883
               Gwanghyun Jo and   
                    Youn Doh Ha   Effective multigrid algorithms for
                                  algebraic system arising from static
                                  peridynamic systems  . . . . . . . . . . 885--904
                  Nianyu Yi and   
                   Hailiang Liu   A mass- and energy-conserved DG method
                                  for the Schrödinger--Poisson equation . . 905--930

Numerical Algorithms
Volume 89, Number 3, March, 2022

              Michael Hanke and   
             Roswitha März   Towards a reliable implementation of
                                  least-squares collocation for higher
                                  index differential-algebraic equations
                                  --- Part 1: basics and ansatz function
                                  choices  . . . . . . . . . . . . . . . . 931--963
              Michael Hanke and   
             Roswitha März   Towards a reliable implementation of
                                  least-squares collocation for higher
                                  index differential-algebraic equations
                                  --- Part 2: the discrete least-squares
                                  problem  . . . . . . . . . . . . . . . . 965--986
                 Jun-Li Zhu and   
                Yu-Jiang Wu and   
                     Ai-Li Yang   A two-parameter block triangular
                                  preconditioner for double saddle point
                                  problem arising from liquid crystal
                                  directors modeling . . . . . . . . . . . 987--1006
                Jia-Qi Chen and   
                 Zheng-Da Huang   On a fast deterministic block Kaczmarz
                                  method for solving large-scale linear
                                  systems  . . . . . . . . . . . . . . . . 1007--1029
               Simeon Reich and   
          Truong Minh Tuyen and   
        Nguyen Thi Thu Thuy and   
                Mai Thi Ngoc Ha   A new self-adaptive algorithm for
                                  solving the split common fixed point
                                  problem with multiple output sets in
                                  Hilbert spaces . . . . . . . . . . . . . 1031--1047
               Hossein Zare and   
                Masoud Hajarian   An efficient Gauss--Newton algorithm for
                                  solving regularized total least squares
                                  problems . . . . . . . . . . . . . . . . 1049--1073
                   Ali Abdi and   
         Gholamreza Hojjati and   
              Giuseppe Izzo and   
            Zdzislaw Jackiewicz   Global error estimation for explicit
                                  general linear methods . . . . . . . . . 1075--1093
                Wenting Mao and   
               Yanping Chen and   
                  Huasheng Wang   A posteriori error estimations of the
                                  Petrov--Galerkin methods for fractional
                                  Helmholtz equations  . . . . . . . . . . 1095--1127
          Leonardo A. Sousa and   
          Susana Scheimberg and   
      Pedro Jorge S. Santos and   
  Paulo Sérgio M. Santos   A quasi-Newton type method for
                                  equilibrium problems . . . . . . . . . . 1129--1143
               Sophie Thery and   
          Charles Pelletier and   
     Florian Lemarié and   
                     Eric Blayo   Analysis of Schwarz waveform relaxation
                                  for the coupled Ekman boundary layer
                                  problem with continuously variable
                                  coefficients . . . . . . . . . . . . . . 1145--1181
              Li-Ping Zhang and   
                  Zi-Cai Li and   
              Ming-Gong Lee and   
                Hung-Tsai Huang   Stability analysis of the method of
                                  fundamental solutions with smooth closed
                                  pseudo-boundaries for Laplace's
                                  equation: better pseudo-boundaries . . . 1183--1222
             Pingping Zhang and   
                       Qun Wang   Perturbation analysis and condition
                                  numbers of mixed least squares-scaled
                                  total least squares problem  . . . . . . 1223--1246
             Nancy Chalhoub and   
               Pascal Omnes and   
                 Toni Sayah and   
          Rebecca El Zahlaniyeh   A posteriori error estimates for the
                                  time-dependent
                                  convection-diffusion-reaction equation
                                  coupled with the Darcy system  . . . . . 1247--1286
             Xiaoying Jiang and   
                 Xiaowen Li and   
                       Xiang Xu   Numerical algorithms for inverse
                                  Sturm--Liouville problems  . . . . . . . 1287--1309
           Nicola Guglielmi and   
                   Ernst Hairer   An efficient algorithm for solving
                                  piecewise-smooth dynamical systems . . . 1311--1334
       Constantinos Siettos and   
                    Lucia Russo   A numerical method for the approximation
                                  of stable and unstable manifolds of
                                  microscopic simulators . . . . . . . . . 1335--1368
            Zohre Aminifard and   
            Saman Babaie-Kafaki   Dai--Liao extensions of a descent hybrid
                                  nonlinear conjugate gradient method with
                                  application in signal processing . . . . 1369--1387
                Zongze Yang and   
               Jungang Wang and   
               Zhanbin Yuan and   
                     Yufeng Nie   Using Gauss--Jacobi quadrature rule to
                                  improve the accuracy of FEM for spatial
                                  fractional problems  . . . . . . . . . . 1389--1411
                    Frank Uhlig   Correction to: On the unitary
                                  block-decomposability of 1-parameter
                                  matrix flows and static matrices . . . . 1413--1414

Numerical Algorithms
Volume 89, Number 4, April, 2022

                    Ying Ma and   
                        Jia Yin   Error estimates of finite difference
                                  methods for the Dirac equation in the
                                  massless and nonrelativistic regime  . . 1415--1440
             William McLean and   
                Kassem Mustapha   Uniform stability for a spatially
                                  discrete, subdiffusive Fokker--Planck
                                  equation . . . . . . . . . . . . . . . . 1441--1463
                    Hu Chen and   
                 Yanhua Shi and   
                    Yanmin Zhao   Sharp error estimate of a
                                  Grünwald--Letnikov scheme for
                                  reaction--subdiffusion equations . . . . 1465--1477
         Lutz Kämmerer and   
              Felix Krahmer and   
                   Toni Volkmer   A sample efficient sparse FFT for
                                  arbitrary frequency candidate sets in
                                  high dimensions  . . . . . . . . . . . . 1479--1520
 André Pierro de Camargo   Backward and forward stability analysis
                                  of Neville's algorithm for interpolation
                                  and a pyramid algorithm for the
                                  computation of Lebesgue functions  . . . 1521--1531
               Simon Becher and   
                 Gunar Matthies   Unified analysis for variational time
                                  discretizations of higher order and
                                  higher regularity applied to non-stiff
                                  ODEs . . . . . . . . . . . . . . . . . . 1533--1565
            Mahmoud A. Zaky and   
          Howayda Abo-Gabal and   
                    Eid H. Doha   Computational and theoretical aspects of
                                  Romanovski-Bessel polynomials and their
                                  applications in spectral approximations  1567--1601
                Zhaolu Tian and   
               Zhongyun Liu and   
                   Yinghui Dong   The coupled iteration algorithms for
                                  computing PageRank . . . . . . . . . . . 1603--1637
          Arturo De Marinis and   
           Felice Iavernaro and   
               Francesca Mazzia   A minimum-time obstacle-avoidance path
                                  planning algorithm for unmanned aerial
                                  vehicles . . . . . . . . . . . . . . . . 1639--1661
               Dingwen Deng and   
                       Qiang Wu   The error estimations of a two-level
                                  linearized compact ADI method for
                                  solving the nonlinear coupled wave
                                  equations  . . . . . . . . . . . . . . . 1663--1693
               Ha Manh Linh and   
               Simeon Reich and   
              Nguyen Phuong Lan   Analysis of two variants of an inertial
                                  projection algorithm for finding the
                                  minimum-norm solutions of variational
                                  inequality and fixed point problems  . . 1695--1721
                      Minglu Ye   An infeasible projection type algorithm
                                  for nonmonotone variational inequalities 1723--1742
             Tran Thi Khieu and   
                 Tra Quoc Khanh   Fractional filter method for recovering
                                  the historical distribution for
                                  diffusion equations with coupling
                                  operator of local and nonlocal type  . . 1743--1767
                 W. Y. Wang and   
                  F. Q. Xia and   
                          K. Tu   Inertial-type incremental constraint
                                  projection method for solving
                                  variational inequalities without
                                  Lipschitz continuity . . . . . . . . . . 1769--1798
              Archna Kumari and   
                  V. K. Kukreja   Error bounds for septic Hermite
                                  interpolation and its implementation to
                                  study modified Burgers' equation . . . . 1799--1821
                      Yong Chen   Second-order IMEX scheme for a system of
                                  partial integro-differential equations
                                  from Asian option pricing under
                                  regime-switching jump-diffusion models   1823--1843
               Xian-Ming Gu and   
               Siu-Long Lei and   
              Bruno Carpentieri   A Hessenberg-type algorithm for
                                  computing PageRank Problems  . . . . . . 1845--1863
              Junxiang Yang and   
                    Junseok Kim   Energy dissipation-preserving
                                  time-dependent auxiliary variable method
                                  for the phase-field crystal and the
                                  Swift--Hohenberg models  . . . . . . . . 1865--1894


Numerical Algorithms
Volume 90, Number 1, May, 2022

           Claude Brezinski and   
            Philippe G. Ciarlet   Richard Steven Varga, 1928--2022 . . . . 1--2
            Hiroshi Sugiura and   
             Takemitsu Hasegawa   Extensions of Clenshaw--Curtis-type
                                  rules to integrals over a semi-infinite
                                  interval . . . . . . . . . . . . . . . . 3--30
              Hong-Kui Pang and   
                Hai-Hua Qin and   
                    Hai-Wei Sun   All-at-once method for variable-order
                                  time fractional diffusion equations  . . 31--57
                    Peng Lv and   
                     Bing Zheng   Structured backward error analysis for a
                                  class of block three-by-three saddle
                                  point problems . . . . . . . . . . . . . 59--78
           Zhao-Zheng Liang and   
                   Owe Axelsson   Exact inverse solution techniques for a
                                  class of complex valued block two-by-two
                                  linear systems . . . . . . . . . . . . . 79--98
   Paul-Emile Maingé and   
                Florian Labarre   Accelerated methods with fastly
                                  vanishing subgradients for structured
                                  non-smooth minimization  . . . . . . . . 99--136
                 Wenjie Liu and   
                      Boying Wu   Unconditional stability and optimal
                                  error estimates of a Crank--Nicolson
                                  Legendre--Galerkin method for the
                                  two-dimensional second-order wave
                                  equation . . . . . . . . . . . . . . . . 137--158
               Xiaogang Zhu and   
                  Jimeng Li and   
                   Yaping Zhang   A local RBFs-based DQ approximation for
                                  Riesz fractional derivatives and its
                                  applications . . . . . . . . . . . . . . 159--196
           Nicholas Pischke and   
              Ulrich Kohlenbach   Quantitative analysis of a
                                  subgradient-type method for equilibrium
                                  problems . . . . . . . . . . . . . . . . 197--219
           Nicholas Pischke and   
              Ulrich Kohlenbach   Correction to: Quantitative analysis of
                                  a subgradient-type method for
                                  equilibrium problems . . . . . . . . . . 221--221
                 Neculai Andrei   A note on memory-less SR1 and
                                  memory-less BFGS methods for large-scale
                                  unconstrained optimization . . . . . . . 223--240
            Katsuhisa Ozaki and   
                  Takeshi Ogita   Generation of test matrices with
                                  specified eigenvalues using
                                  floating-point arithmetic  . . . . . . . 241--262
            Walter Gautschi and   
      Gradimir V. Milovanovi\'c   Orthogonal polynomials relative to
                                  weight functions of Prudnikov type . . . 263--270
         Mostafa Abbaszadeh and   
                  Mehdi Dehghan   A class of moving Kriging
                                  interpolation-based DQ methods to
                                  simulate multi-dimensional space Galilei
                                  invariant fractional advection-diffusion
                                  equation . . . . . . . . . . . . . . . . 271--299
           Elias Jarlebring and   
            Parikshit Upadhyaya   Implicit algorithms for eigenvector
                                  nonlinearities . . . . . . . . . . . . . 301--321
                 Tobias Jawecki   A study of defect-based error estimates
                                  for the Krylov approximation of $ \phi
                                  $-functions  . . . . . . . . . . . . . . 323--361
                Qiaohua Liu and   
                    Zhigang Jia   On condition numbers of the total least
                                  squares problem with linear equality
                                  constraint . . . . . . . . . . . . . . . 363--385
               Li-Ping Pang and   
                          Qi Wu   A feasible proximal bundle algorithm
                                  with convexification for nonsmooth,
                                  nonconvex semi-infinite programming  . . 387--422
              Claudio Lobos and   
          Cristopher Arenas and   
               Nancy Hitschfeld   Measuring geometrical quality of
                                  different 3D linear element types  . . . 423--446
                  Jin Zhang and   
                      Yanhui Lv   Finite element method for singularly
                                  perturbed problems with two parameters
                                  on a Bakhvalov-type mesh in 2D . . . . . 447--475

Numerical Algorithms
Volume 90, Number 2, June, 2022

                    Xin Liu and   
                     Yufeng Nie   Pressure-independent velocity error
                                  estimates for (Navier--)Stokes
                                  nonconforming virtual element
                                  discretization with divergence free  . . 477--506
               Bouchta Rhanizar   On a modified version of the Henrici's
                                  transformation into optimization . . . . 507--522
         Vedran Novakovi\'c and   
                   Sanja Singer   A Kogbetliantz-type algorithm for the
                                  hyperbolic SVD . . . . . . . . . . . . . 523--561
            Dang Quang Long and   
                   Dang Quang A   Existence results and numerical method
                                  for solving a fourth-order nonlinear
                                  integro-differential equation  . . . . . 563--576
               Yonghui Ling and   
                 Juan Liang and   
                     Weihua Lin   On semilocal convergence analysis for
                                  two-step Newton method under generalized
                                  Lipschitz conditions in Banach spaces    577--606
            G. N. Grapiglia and   
  M. L. N. Gonçalves and   
                    G. N. Silva   A cubic regularization of Newton's
                                  method with finite difference Hessian
                                  approximations . . . . . . . . . . . . . 607--630
               Franz Chouly and   
                  Pauline Klein   Wave-heat coupling in one-dimensional
                                  unbounded domains: artificial boundary
                                  conditions and an optimized Schwarz
                                  method . . . . . . . . . . . . . . . . . 631--668
      Fariba Bakrani Balani and   
                Masoud Hajarian   On the generalized AOR and CG iteration
                                  methods for a class of block two-by-two
                                  linear systems . . . . . . . . . . . . . 669--685
             Matthew F. Causley   The gamma function via interpolation . . 687--707
                   Jie Zhou and   
                   Xing Yao and   
                  Wansheng Wang   Two-grid finite element methods for
                                  nonlinear time-fractional parabolic
                                  equations  . . . . . . . . . . . . . . . 709--730
              Yongqiang Suo and   
              Chenggui Yuan and   
                 Shao-Qin Zhang   Weak convergence of Euler scheme for
                                  SDEs with low regular drift  . . . . . . 731--747
                   Hao Chen and   
                    Hai-Wei Sun   Second-order maximum principle
                                  preserving Strang's splitting schemes
                                  for anisotropic fractional Allen--Cahn
                                  equations  . . . . . . . . . . . . . . . 749--771
           Bahman Kalantari and   
              Fedor Andreev and   
                       Chun Lau   Characterization of local optima of
                                  polynomial modulus over a disc . . . . . 773--787
               Yingying Xie and   
             Liuqiang Zhong and   
                    Yuping Zeng   Convergence of an adaptive modified WG
                                  method for second-order elliptic problem 789--808
                A. S. Hendy and   
                K. Van Bockstal   A solely time-dependent source
                                  reconstruction in a multiterm
                                  time-fractional order diffusion equation
                                  with non-smooth solutions  . . . . . . . 809--832
                   Ali Abdi and   
         Gholamreza Hojjati and   
            Zdzislaw Jackiewicz   Global error estimation for explicit
                                  second derivative general linear methods 833--850
           Roberto Andreani and   
             Gabriel Haeser and   
            Leonardo D. Secchin   On the best achievable quality of limit
                                  points of augmented Lagrangian schemes   851--877
           Roberto Andreani and   
             Gabriel Haeser and   
            Leonardo D. Secchin   Correction to: On the best achievable
                                  quality of limit points of augmented
                                  Lagrangian schemes . . . . . . . . . . . 879--880
               Shuping Yang and   
            Xiangtuan Xiong and   
                        Yue Sun   Stationary iterated weighted Tikhonov
                                  regularization method for identifying an
                                  unknown source term of time-fractional
                                  radial heat equation . . . . . . . . . . 881--903

Numerical Algorithms
Volume 90, Number 3, July, 2022

          P. Kubelík and   
             V. G. Kurbatov and   
                I. V. Kurbatova   Calculating a function of a matrix with
                                  a real spectrum  . . . . . . . . . . . . 905--930
                    Ximing Fang   Convergence of modulus-based matrix
                                  splitting iteration method for a class
                                  of nonlinear complementarity problems    931--950
                Qinjiao Gao and   
               Xingping Sun and   
                Shenggang Zhang   Multivariate quadrature rules on
                                  crosslet sparse grids  . . . . . . . . . 951--962
          Soumyarani Mishra and   
                  Ambit K. Pany   Completely discrete schemes for 2D
                                  Sobolev equations with Burgers' type
                                  nonlinearity . . . . . . . . . . . . . . 963--987
                Qiming Wang and   
                   Zhaojie Zhou   A priori and a posteriori error analysis
                                  for virtual element discretization of
                                  elliptic optimal control problem . . . . 989--1015
                 Xiangli Li and   
                   Wenjuan Zhao   A modified conjugate gradient method
                                  based on the self-scaling memoryless
                                  BFGS update  . . . . . . . . . . . . . . 1017--1042
   Aurél Galántai   Convergence of the Nelder--Mead method   1043--1072
               Gautam Singh and   
             Srinivasan Natesan   Superconvergence error estimates of
                                  discontinuous Galerkin time stepping for
                                  singularly perturbed parabolic problems  1073--1090
                     Haotao Cai   Oscillation-preserving
                                  Legendre--Galerkin methods for second
                                  kind integral equations with highly
                                  oscillatory kernels  . . . . . . . . . . 1091--1115
                   Jiali Xu and   
                  Haiyan Su and   
                      Zhilin Li   Optimal convergence of three iterative
                                  methods based on nonconforming finite
                                  element discretization for 2D/3D MHD
                                  equations  . . . . . . . . . . . . . . . 1117--1151
                  Y. Chakir and   
                  J. Abouir and   
                 B. Benouahmane   Two-dimensional Laplace transform
                                  inversion using bivariate homogeneous
                                  two-point Padé approximants . . . . . . . 1153--1174
         Nicholas J. Higham and   
                Mantas Mikaitis   \pkgAnymatrix: an extensible MATLAB
                                  matrix collection  . . . . . . . . . . . 1175--1196
               Ningning Han and   
                    Jian Lu and   
                     Shidong Li   The finite steps of convergence of the
                                  fast thresholding algorithms with
                                  $f$-feedbacks in compressed sensing  . . 1197--1223
               Harry Oviedo and   
           Roberto Andreani and   
                  Marcos Raydan   A family of optimal weighted
                                  conjugate-gradient-type methods for
                                  strictly convex quadratic minimization   1225--1252
                 T. Nikazad and   
                  M. Abbasi and   
                     T. Elfving   A new step size rule for the
                                  superiorization method and its
                                  application in computerized tomography   1253--1277
                Si-Wei Liao and   
             Guo-Feng Zhang and   
               Zhao-Zheng Liang   A generalized variant of two-sweep
                                  modulus-based matrix splitting iteration
                                  method for solving horizontal linear
                                  complementarity problems . . . . . . . . 1279--1303
                 Bengt Fornberg   Finite difference formulas in the
                                  complex plane  . . . . . . . . . . . . . 1305--1326
                     Bin Li and   
                       Yuan Lei   Hybrid algorithms with active set
                                  prediction for solving linear
                                  inequalities in a least squares sense    1327--1356

Numerical Algorithms
Volume 90, Number 4, August, 2022

                Pradip Roul and   
                    Vikas Rohil   A novel high-order numerical scheme and
                                  its analysis for the two-dimensional
                                  time-fractional reaction--subdiffusion
                                  equation . . . . . . . . . . . . . . . . 1357--1387
                  Eliass Zafati   Discussions on a macro multi-time scales
                                  coupling method: existence and
                                  uniqueness of the numerical solution and
                                  strict non-negativity of the Schur
                                  complement . . . . . . . . . . . . . . . 1389--1417
               Qingmin Yang and   
                 Xiao Shan Chen   On estimating the separation associated
                                  with the periodic continuous Sylvester
                                  equation . . . . . . . . . . . . . . . . 1419--1435
                  Gang Pang and   
                    Songsong Ji   A fast stable accurate artificial
                                  boundary condition for the linearized
                                  Green--Naghdi system . . . . . . . . . . 1437--1463
               Jianzhou Liu and   
                    Qi Zhou and   
                     Yebo Xiong   Upper norm bounds for the inverse of
                                  locally doubly strictly diagonally
                                  dominant matrices with its applications
                                  in linear complementarity problems . . . 1465--1491
             Hideaki Iiduka and   
                 Hiroyuki Sakai   Riemannian stochastic fixed point
                                  optimization algorithm . . . . . . . . . 1493--1517
                 Yonghui Bo and   
                Yushun Wang and   
                     Wenjun Cai   Arbitrary high-order linearly implicit
                                  energy-preserving algorithms for
                                  Hamiltonian PDEs . . . . . . . . . . . . 1519--1546
             Francesco Mezzadri   A modulus-based formulation for the
                                  vertical linear complementarity problem  1547--1568
                 S. Bodaghi and   
                  A. Zakeri and   
          A. H. Salehi Shayegan   Discrete mollification in Bernstein
                                  basis and space marching scheme for
                                  numerical solution of an inverse
                                  two-phase one-dimensional Stefan problem 1569--1592
                   Bing Tan and   
               Xiaolong Qin and   
                  Sun Young Cho   Revisiting subgradient extragradient
                                  methods for solving variational
                                  inequalities . . . . . . . . . . . . . . 1593--1615
               Yadong Zhang and   
                     Minfu Feng   A mixed virtual element method for the
                                  time-fractional fourth-order
                                  subdiffusion equation  . . . . . . . . . 1617--1637
             Jennifer Scott and   
                  Miroslav Tuma   A null-space approach for large-scale
                                  symmetric saddle point systems with a
                                  small and non zero $ (2, 2) $ block  . . 1639--1667
                     Xin He and   
                    Rong Hu and   
                   Ya-Ping Fang   Inertial accelerated primal-dual methods
                                  for linear equality constrained convex
                                  optimization problems  . . . . . . . . . 1669--1690
             J. M. Carnicer and   
                   Y. Khiar and   
              J. M. Peña   Inverse central ordering for the Newton
                                  interpolation formula  . . . . . . . . . 1691--1713
               Bui Van Dinh and   
                Hy Duc Manh and   
           Tran Thi Huyen Thanh   A modified Solodov--Svaiter method for
                                  solving nonmonotone variational
                                  inequality problems  . . . . . . . . . . 1715--1734
                Shiliang Wu and   
                       Liang Li   New modulus-based matrix splitting
                                  methods for implicit complementarity
                                  problem  . . . . . . . . . . . . . . . . 1735--1754
                    Meng Li and   
                   Xianbing Luo   An EMC-HDG scheme for the
                                  convection-diffusion equation with
                                  random diffusivity . . . . . . . . . . . 1755--1776
                   Yan Wang and   
                   Chenliang Li   A modulus-based cascadic multigrid
                                  method for elliptic variational
                                  inequality problems  . . . . . . . . . . 1777--1791


Numerical Algorithms
Volume 91, Number 1, September, 2022

               Simeon Reich and   
              Truong Minh Tuyen   A generalized cyclic iterative method
                                  for solving variational inequalities
                                  over the solution set of a split common
                                  fixed point problem  . . . . . . . . . . 1--17
                     Nan Li and   
                     Lihong Zhi   Improved two-step Newton's method for
                                  computing simple multiple zeros of
                                  polynomial systems . . . . . . . . . . . 19--50
                Sergio Amat and   
                David Levin and   
Dionisio F. Yáñez   A class of $ C^2 $ quasi-interpolating
                                  splines free of Gibbs phenomenon . . . . 51--79
                F. Chaouqui and   
               M. J. Gander and   
                      T. Vanzan   Linear and nonlinear substructured
                                  Restricted Additive Schwarz iterations
                                  and preconditioning  . . . . . . . . . . 81--107
        Bernhard Beckermann and   
               Joanna Bisch and   
                    Robert Luce   On the rational approximation of Markov
                                  functions, with applications to the
                                  computation of Markov functions of
                                  Toeplitz matrices  . . . . . . . . . . . 109--144
               Gonglin Yuan and   
                 Heshu Yang and   
                Mengxiang Zhang   Adaptive three-term PRP algorithms
                                  without gradient Lipschitz continuity
                                  condition for nonconvex functions  . . . 145--160
             Xianzhen Jiang and   
                   Wei Liao and   
                    Jinbao Jian   A new family of hybrid three-term
                                  conjugate gradient methods with
                                  applications in image restoration  . . . 161--191
                Chaoyi Yang and   
                Brian C. Fabien   An adaptive mesh refinement method for
                                  indirectly solving optimal control
                                  problems . . . . . . . . . . . . . . . . 193--225
             Tahereh Majidi and   
                   Ali Abdi and   
             Gholamreza Hojjati   Generalized second derivative linear
                                  multistep methods for ordinary
                                  differential equations . . . . . . . . . 227--250
               K. K. Pandey and   
                 P. Viswanathan   In reference to a self-referential
                                  approach towards smooth multivariate
                                  approximation  . . . . . . . . . . . . . 251--281
                Zhong Zheng and   
                Min-Li Zeng and   
                 Guo-Feng Zhang   A variant of PMHSS iteration method for
                                  a class of complex symmetric indefinite
                                  linear systems . . . . . . . . . . . . . 283--300
     Tomás Gergelits and   
Bjòrn Fredrik Nielsen and   
                 Zdenek Strakos   Numerical approximation of the spectrum
                                  of self-adjoint operators in operator
                                  preconditioning  . . . . . . . . . . . . 301--325
                Le Van Vinh and   
               Van Nam Tran and   
                  Phan Tu Vuong   A second-order dynamical system for
                                  equilibrium problems . . . . . . . . . . 327--351
               Gonglin Yuan and   
                Pengyuan Li and   
                       Junyu Lu   The global convergence of the BFGS
                                  method with a modified WWP line search
                                  for nonconvex functions  . . . . . . . . 353--365
              Pham Quy Muoi and   
                Duong Xuan Hiep   Proximal algorithm for minimization
                                  problems in $ l_0$-regularization for
                                  nonlinear inverse problems . . . . . . . 367--388
        Idoia Cortes Garcia and   
    Iryna Kulchytska-Ruchka and   
          Sebastian Schöps   Parareal for index two differential
                                  algebraic equations  . . . . . . . . . . 389--412
              G. Ciaramella and   
                      T. Vanzan   Substructured two-grid and multi-grid
                                  domain decomposition methods . . . . . . 413--448
                 Do Y. Kwak and   
                  Hyeokjoo Park   A formal construction of a
                                  divergence-free basis in the
                                  nonconforming virtual element method for
                                  the Stokes problem . . . . . . . . . . . 449--471

Numerical Algorithms
Volume 91, Number 2, October, 2022

                 Yifei Wang and   
                  Jin Huang and   
                      Ting Deng   A combination method for solving
                                  multi-dimensional systems of Volterra
                                  integral equations with weakly singular
                                  kernels  . . . . . . . . . . . . . . . . 473--504
           Bhuwan Chandra Joshi   Mathematical programs with vanishing
                                  constraints involving strongly invex
                                  functions  . . . . . . . . . . . . . . . 505--530
            F. A. Costabile and   
            M. I. Gualtieri and   
                      A. Napoli   Bivariate general Appell interpolation
                                  problem  . . . . . . . . . . . . . . . . 531--556
                 Qiyuan Wei and   
                    Liwei Zhang   Yosida-regularization based differential
                                  equation approach to generalized
                                  equations with applications to nonlinear
                                  convex programming . . . . . . . . . . . 557--581
              Emmett Padway and   
              Dimitri Mavriplis   Approximate linearization of fixed-point
                                  iterations . . . . . . . . . . . . . . . 583--614
              Gajendra Babu and   
                 M. Prithvi and   
                   V. P. Ramesh   A robust numerical algorithm on harmonic
                                  mesh for parabolic singularly perturbed
                                  convection-diffusion problems with time
                                  delay  . . . . . . . . . . . . . . . . . 615--634
                Guangzhi Du and   
                      Liyun Zuo   Local and parallel partition of unity
                                  scheme for the mixed
                                  Navier--Stokes--Darcy problem  . . . . . 635--650
                 S. Slimani and   
                M. Farhloul and   
                        A. Zine   Mixed formulation of a stationary
                                  seawater intrusion problem in confined
                                  aquifers . . . . . . . . . . . . . . . . 651--669
         Miroslav S. Petrov and   
           Todor D. Todorov and   
           Freddie D. Witherden   Enabling four-dimensional conformal
                                  hybrid meshing with cubic pyramids . . . 671--709
                   Yaguang Yang   An efficient arc-search interior-point
                                  algorithm for convex quadratic
                                  programming with box constraints . . . . 711--748
               Martin Morin and   
               Pontus Giselsson   Cocoercivity, smoothness and bias in
                                  variance-reduced stochastic gradient
                                  methods  . . . . . . . . . . . . . . . . 749--772
       Zdenek Dostál and   
         David Horák and   
                  Oldrich Vlach   Highly scalable hybrid domain
                                  decomposition method for the solution of
                                  huge scalar variational inequalities . . 773--801
                  Zhizhi Li and   
                 Huai Zhang and   
                     Le Ou-Yang   Anderson accelerating the preconditioned
                                  modulus approach for linear
                                  complementarity problems on second-order
                                  cones  . . . . . . . . . . . . . . . . . 803--839
                  E. Mainar and   
          J. M. Peña and   
                       B. Rubio   Total positivity and accurate
                                  computations with Gram matrices of
                                  Bernstein bases  . . . . . . . . . . . . 841--859
           Pierluigi Amodio and   
             Luigi Brugnano and   
               Felice Iavernaro   Arbitrarily high-order energy-conserving
                                  methods for Poisson problems . . . . . . 861--894
              Li-Ping Zhang and   
                  Zi-Cai Li and   
                Hung-Tsai Huang   Spurious eigenvalue-free algorithms of
                                  the method of fundamental solutions for
                                  solving the Helmholtz equation in
                                  bounded multiply connected domains . . . 895--932
             Renan W. Prado and   
           Sandra A. Santos and   
      Lucas E. A. Simões   On the convergence analysis of a penalty
                                  algorithm for nonsmooth optimization and
                                  its performance for solving hard-sphere
                                  problems . . . . . . . . . . . . . . . . 933--957
                 Dongho Kim and   
               Eun-Jae Park and   
                     Boyoon Seo   Error analysis for the pseudostress
                                  formulation of unsteady Stokes problem   959--996

Numerical Algorithms
Volume 91, Number 3, November, 2022

                Timo Betcke and   
               Micha\l Bosy and   
                    Erik Burman   Hybrid coupling of finite element and
                                  boundary element methods using Nitsche's
                                  method and the Calderon projection . . . 997--1019
            Subhash Chandra and   
                     Syed Abbas   Analysis of fractal dimension of mixed
                                  Riemann--Liouville integral  . . . . . . 1021--1046
             Monica Dessole and   
                 Fabio Marcuzzi   Deviation maximization for
                                  rank-revealing $ Q R $ factorizations    1047--1079
               Qifeng Zhang and   
                  Yifan Qin and   
                  Zhi-zhong Sun   Linearly compact scheme for 2D Sobolev
                                  equation with Burgers' type nonlinearity 1081--1114
           Bernard Bialecki and   
         Graeme Fairweather and   
           Andreas Karageorghis   An optimal two-step quadratic spline
                                  collocation method for the Dirichlet
                                  biharmonic problem . . . . . . . . . . . 1115--1143
               Hongwu Zhang and   
                        Yong Lv   Iteration regularization method for a
                                  sideways problem of time-fractional
                                  diffusion equation . . . . . . . . . . . 1145--1163
               Xin-Hui Shao and   
                   Zhe Wang and   
                  Hai-Long Shen   A sign-based linear method for
                                  horizontal linear complementarity
                                  problems . . . . . . . . . . . . . . . . 1165--1181
                   Harry Oviedo   Global convergence of Riemannian line
                                  search methods with a Zhang--Hager-type
                                  condition  . . . . . . . . . . . . . . . 1183--1203
            Tomasz Bochacik and   
           Pawe\l Przyby\lowicz   On the randomized Euler schemes for ODEs
                                  under inexact information  . . . . . . . 1205--1229
              Bingzhen Zhou and   
                    Bo Wang and   
                     Ziqing Xie   A hybridizable discontinuous triangular
                                  spectral element method on unstructured
                                  meshes and its hp-error estimates  . . . 1231--1260
                     Jonni Lohi   Systematic implementation of higher
                                  order Whitney forms in methods based on
                                  discrete exterior calculus . . . . . . . 1261--1285
                 Zhenhua Xu and   
                 Zhanmei Lv and   
                   Hongrui Geng   Efficient numerical methods for Cauchy
                                  principal value integrals with highly
                                  oscillatory integrands . . . . . . . . . 1287--1314
          Lars Eldén and   
                 Maryam Dehghan   A Krylov--Schur-like method for
                                  computing the best rank-($ r_1, r_2,
                                  r_3$) approximation of large and sparse
                                  tensors  . . . . . . . . . . . . . . . . 1315--1347
           Gabriel Jarry-Bolduc   Approximating the diagonal of a Hessian:
                                  which sample set of points should be
                                  used . . . . . . . . . . . . . . . . . . 1349--1361
                Bi-Cong Ren and   
                  Fang Chen and   
                Xiao-Liang Wang   Improved splitting preconditioner for
                                  double saddle point problems arising
                                  from liquid crystal director modeling    1363--1379
            Pedro R. S. Antunes   A well-conditioned method of fundamental
                                  solutions for Laplace equation . . . . . 1381--1405
José Mario Martínez and   
      Lúcio Tunes Santos   On two conjectures about Dennis--Moré
                                  conditions . . . . . . . . . . . . . . . 1407--1425
         Alexander J. Zaslavski   The method of cyclic projections for
                                  closed convex sets in a Hilbert space
                                  under the presence of computational
                                  errors . . . . . . . . . . . . . . . . . 1427--1439

Numerical Algorithms
Volume 91, Number 4, December, 2022

            Hassan Mohammad and   
           Aliyu Muhammed Awwal   Globally convergent diagonal
                                  Polak--Ribi\`ere--Polyak like algorithm
                                  for nonlinear equations  . . . . . . . . 1441--1460
                  Gang Wang and   
                 Dong Zhang and   
        Vasily. I. Vasiliev and   
                 Tongsong Jiang   A complex structure-preserving algorithm
                                  for the full rank decomposition of
                                  quaternion matrices and its applications 1461--1481
                   Bo Zheng and   
                 Yueqiang Shang   A three-step defect-correction algorithm
                                  for incompressible flows with friction
                                  boundary conditions  . . . . . . . . . . 1483--1510
               Jinliang Yan and   
                   Ling Zhu and   
                 Fuqiang Lu and   
                    Sihui Zheng   Linearly implicit and second-order
                                  energy-preserving schemes for the
                                  modified Korteweg--de Vries equation . . 1511--1546
                Walter Gautschi   Another look at polynomials orthogonal
                                  relative to exponential integral weight
                                  functions  . . . . . . . . . . . . . . . 1547--1557
                  Min Zhang and   
                 Guo-Feng Zhang   Fast solution method and simulation for
                                  the 2D time-space fractional
                                  Black--Scholes equation governing
                                  European two-asset option pricing  . . . 1559--1575
              Kevin Burrage and   
          Pamela M. Burrage and   
                    Grant Lythe   Effective numerical methods for
                                  simulating diffusion on a spherical
                                  surface in three dimensions  . . . . . . 1577--1596
                  Yao Cheng and   
                     Li Yan and   
                     Yanjie Mei   Balanced-norm error estimate of the
                                  local discontinuous Galerkin method on
                                  layer-adapted meshes for
                                  reaction-diffusion problems  . . . . . . 1597--1626
                       Yan Wang   On nested Picard iterative integrators
                                  for highly oscillatory second-order
                                  differential equations . . . . . . . . . 1627--1651
              Manuel Bogoya and   
     Sven-Erik Ekström and   
        Stefano Serra-Capizzano   Fast Toeplitz eigenvalue computations,
                                  joining interpolation-extrapolation
                                  matrix-less algorithms and simple-loop
                                  theory . . . . . . . . . . . . . . . . . 1653--1676
                  Wumei Sun and   
                Hongwei Liu and   
                     Zexian Liu   Several accelerated subspace
                                  minimization conjugate gradient methods
                                  based on regularization model and
                                  convergence rate analysis for nonconvex
                                  problems . . . . . . . . . . . . . . . . 1677--1719
                  Michael Hanke   On the sensitivity of implementations of
                                  a least-squares collocation method for
                                  linear higher-index
                                  differential-algebraic equations . . . . 1721--1754
               Junaid Ahmad and   
              Kifayat Ullah and   
                Muhammad Arshad   Convergence, weak $ w^2 $ stability, and
                                  data dependence results for the $F$
                                  iterative scheme in hyperbolic spaces    1755--1778
                    Rong Li and   
                     Bing Zheng   The $ l_{2, p} $ regularized total
                                  variation with overlapping group
                                  sparsity prior for image restoration
                                  with impulse noise . . . . . . . . . . . 1779--1814
              Fengxia Zhang and   
                    Jianli Zhao   A real structure-preserving algorithm
                                  based on the quaternion $ Q R $
                                  decomposition for the quaternion
                                  equality constrained least squares
                                  problem  . . . . . . . . . . . . . . . . 1815--1827
          Natalia Czyzewska and   
          Pawe\l M. Morkisz and   
           Pawe\l Przyby\lowicz   Approximation of solutions of DDEs under
                                  nonstandard assumptions via Euler scheme 1829--1854
         Ramón Orive and   
     Aleksandar V. Pej\vcev and   
      Miodrag M. Spalevi\'c and   
                Ljubica Mihi\'c   On the Gauss--Kronrod quadrature formula
                                  for a modified weight function of
                                  Chebyshev type . . . . . . . . . . . . . 1855--1877
                 Luca Dieci and   
          Alessandra Papini and   
            Alessandro Pugliese   Decompositions and coalescing
                                  eigenvalues of symmetric definite
                                  pencils depending on parameters  . . . . 1879--1910


Numerical Algorithms
Volume 92, Number 1, January, 2023

          Michela Redivo-Zaglia   Preface  . . . . . . . . . . . . . . . . 1--3
              A. H. Bentbib and   
              M. El Ghomari and   
                  K. Jbilou and   
                     L. Reichel   The global Golub--Kahan method and Gauss
                                  quadrature for tensor function
                                  approximation  . . . . . . . . . . . . . 5--34
               Peter Benner and   
             Davide Palitta and   
                      Jens Saak   On an integrated Krylov--ADI solver for
                                  large-scale Lyapunov equations . . . . . 35--63
           Jean-Paul Berrut and   
             Manfred R. Trummer   Extrapolation quadrature from equispaced
                                  samples of functions with jumps  . . . . 65--88
                 D. A. Bini and   
                B. Iannazzo and   
                   B. Meini and   
                    J. Meng and   
                       L. Robol   Computing eigenvalues of semi-infinite
                                  quasi-Toeplitz matrices  . . . . . . . . 89--118
              Erik G. Boman and   
          Andrew J. Higgins and   
                Daniel B. Szyld   Optimal size of the block in block GMRES
                                  on GPUs: computational model and
                                  experiments  . . . . . . . . . . . . . . 119--147
             Brigida Bonino and   
           Claudio Estatico and   
               Marta Lazzaretti   Dual descent regularization algorithms
                                  in variable exponent Lebesgue spaces for
                                  imaging  . . . . . . . . . . . . . . . . 149--182
      Cleonice F. Bracciali and   
         Miguel A. Piñar   On multivariate orthogonal polynomials
                                  and elementary symmetric functions . . . 183--206
           Claude Brezinski and   
      Michela Redivo-Zaglia and   
                    Ahmed Salam   On the kernel of vector $ \epsilon
                                  $-algorithm and related topics . . . . . 207--221
         Alessandro Buccini and   
                Lucas Onisk and   
                 Lothar Reichel   An Arnoldi-based preconditioner for
                                  iterated Tikhonov regularization . . . . 223--245
       Zvonimir Bujanovi\'c and   
            Daniel Kressner and   
        Christian Schröder   Iterative refinement of Schur
                                  decompositions . . . . . . . . . . . . . 247--267
           Adhemar Bultheel and   
     Carlos Díaz Mendoza   Two-point Padé approximation to
                                  Herglotz--Riesz transforms . . . . . . . 269--299
      Bastien Chaudet-Dumas and   
               Martin J. Gander   Cross-points in the Dirichlet--Neumann
                                  method I: well-posedness and convergence
                                  issues . . . . . . . . . . . . . . . . . 301--334
              Xiao-Min Chen and   
             Xiang-Ke Chang and   
                      Yi He and   
                   Xing-Biao Hu   Generalized discrete Lotka--Volterra
                                  equation, orthogonal polynomials and
                                  generalized epsilon algorithm  . . . . . 335--375
            Stefano Cipolla and   
              Stefano Pozza and   
      Michela Redivo-Zaglia and   
            Niel Van Buggenhout   A Lanczos-type procedure for tensors . . 377--406
                Anna Concas and   
              Caterina Fenu and   
         Giuseppe Rodriguez and   
                  Raf Vandebril   The seriation problem in the presence of
                                  a double Fiedler value . . . . . . . . . 407--435
          Nadiia Derevianko and   
             Gerlind Plonka and   
                    Raha Razavi   ESPRIT versus ESPIRA for reconstruction
                                  of short cosine sums and its application 437--470
Patricia D\'ìaz de Alba and   
                Luisa Fermo and   
               Federica Pes and   
             Giuseppe Rodriguez   Regularized minimal-norm solution of an
                                  overdetermined system of first kind
                                  integral equations . . . . . . . . . . . 471--502
Rafael D\'ìaz Fuentes and   
            Marco Donatelli and   
              Caterina Fenu and   
                Giorgio Mantica   Estimating the trace of matrix functions
                                  with application to complex networks . . 503--522
            D. Lj. Djuki\'c and   
R. M. Mutavd\vzi\'c Djuki\'c and   
                 L. Reichel and   
               M. M. Spalevi\'c   Internality of generalized averaged
                                  Gauss quadrature rules and truncated
                                  variants for modified Chebyshev measures
                                  of the third and fourth kinds  . . . . . 523--544
          Dusan Lj Djuki\'c and   
                Luisa Fermo and   
   Rada M. Mutavdzi\'c Djuki\'c   Averaged cubature schemes on the real
                                  positive semiaxis  . . . . . . . . . . . 545--569
                Adam Doliwa and   
                Artur Siemaszko   Integrability and geometry of the Wynn
                                  recurrence . . . . . . . . . . . . . . . 571--596
          Smahane El-Halouy and   
            Silvia Noschese and   
                 Lothar Reichel   Perron communicability and sensitivity
                                  of multilayer networks . . . . . . . . . 597--617
                   Dario Fasino   Orthogonal Cauchy-like matrices  . . . . 619--637
            Andreas Frommer and   
                Daniel B. Szyld   On the convergence of randomized and
                                  greedy relaxation schemes for solving
                                  nonsingular linear systems of equations  639--664
             Carlos Hermoso and   
         Edmundo J. Huertas and   
             Alberto Lastra and   
     Francisco Marcellán   Higher-order recurrence relations,
                                  Sobolev-type inner products and matrix
                                  factorizations . . . . . . . . . . . . . 665--692
              Akira Imakura and   
           Keiichi Morikuni and   
              Akitoshi Takayasu   Complex moment-based methods for
                                  differential eigenvalue problems . . . . 693--721
          Pinaki Prasad Kar and   
            Kerstin Jordaan and   
            Priyabrat Gochhayat   Stieltjes interlacing of zeros of little
                                  $q$-Jacobi and $q$-Laguerre polynomials
                                  from different sequences . . . . . . . . 723--746
            Ferre Knaepkens and   
                     Annie Cuyt   On the robustness of exponential base
                                  terms and the Padé denominator in some
                                  least squares sense  . . . . . . . . . . 747--766
            Teresa Laudadio and   
         Nicola Mastronardi and   
                Paul Van Dooren   Computing Gaussian quadrature rules with
                                  high relative accuracy . . . . . . . . . 767--793
                Xue-lei Lin and   
                  Xin Huang and   
              Michael K. Ng and   
                    Hai-Wei Sun   A $ \tau $-preconditioner for a
                                  non-symmetric linear system arising from
                                  multi-dimensional Riemann--Liouville
                                  fractional diffusion equation  . . . . . 795--813
                    T. Mach and   
                 L. Reichel and   
                 Marc Van Barel   Adaptive cross approximation for
                                  Tikhonov regularization in general form  815--830
                 Chang Meng and   
                     James Nagy   Numerical methods for CT reconstruction
                                  with unknown geometry parameters . . . . 831--847
       Abderrahim Messaoudi and   
                  Hassane Sadok   RMPIA: a new algorithm for computing the
                                  Lagrange matrix interpolation
                                  polynomials  . . . . . . . . . . . . . . 849--867
          Gérard Meurant   Detection and correction of silent
                                  errors in the conjugate gradient
                                  algorithm  . . . . . . . . . . . . . . . 869--891
   Rafael Tristão Pepino   Acceleration of sequences with
                                  transformations involving hypergeometric
                                  functions  . . . . . . . . . . . . . . . 893--915
                    Yousef Saad   Revisiting the (block) Jacobi subspace
                                  rotation method for the symmetric
                                  eigenvalue problem . . . . . . . . . . . 917--944
                   S. Sidki and   
                      R. Sadaka   The recursive quasi-orthogonal
                                  polynomial algorithm . . . . . . . . . . 945--971
       Richard M. Slevinsky and   
                 Hassan Safouhi   A recursive algorithm for an efficient
                                  and accurate computation of incomplete
                                  Bessel functions . . . . . . . . . . . . 973--983
          J. A. C. Weideman and   
                 Bengt Fornberg   Fully numerical Laplace transform
                                  methods  . . . . . . . . . . . . . . . . 985--1006

Numerical Algorithms
Volume 92, Number 2, February, 2023

              Joydev Halder and   
           Suman Kumar Tumuluri   Numerical solution to a nonlinear
                                  McKendrick--Von Foerster equation with
                                  diffusion  . . . . . . . . . . . . . . . 1007--1039
                Jingwei Sun and   
                 Hong Zhang and   
                    Xu Qian and   
                    Songhe Song   Up to eighth-order
                                  maximum-principle-preserving methods for
                                  the Allen--Cahn equation . . . . . . . . 1041--1062
                Zhisong Hou and   
                    Sanyang Liu   Global algorithm for a class of
                                  multiplicative programs using piecewise
                                  linear approximation technique . . . . . 1063--1082
               Peter Benner and   
                Jan Heiland and   
           Steffen W. R. Werner   A low-rank solution method for Riccati
                                  equations with indefinite quadratic
                                  terms  . . . . . . . . . . . . . . . . . 1083--1103
             Felix G. Jones and   
                 Gideon Simpson   Iterate averaging, the Kalman filter,
                                  and 3DVAR for linear inverse problems    1105--1125
             Yoonjeong Choi and   
               Gwanghyun Jo and   
                 Do Y. Kwak and   
                   Young Ju Lee   Locally conservative discontinuous
                                  bubble scheme for Darcy flow and its
                                  application to Hele--Shaw equation based
                                  on structured grids  . . . . . . . . . . 1127--1152
               Jianfeng Liu and   
              Tingchun Wang and   
                     Teng Zhang   A second-order finite difference scheme
                                  for the multi-dimensional nonlinear
                                  time-fractional Schrödinger equation  . . 1153--1182
              James Baglama and   
         Vasilije Perovi\'c and   
               Jennifer Picucci   Hybrid iterative refined restarted
                                  Lanczos bidiagonalization methods  . . . 1183--1212
                   Chun Wen and   
               Qian-Ying Hu and   
                   Zhao-Li Shen   An adaptively preconditioned multi-step
                                  matrix splitting iteration for computing
                                  PageRank . . . . . . . . . . . . . . . . 1213--1231
                      Qi Li and   
                Supei Zheng and   
                     Liquan Mei   Three decoupled, second-order accurate,
                                  and energy stable schemes for the
                                  conserved Allen--Cahn-type block
                                  copolymer (BCP) model  . . . . . . . . . 1233--1259
          Ibrahim O. Sarumi and   
           Khaled M. Furati and   
            Kassem Mustapha and   
             Abdul Q. M. Khaliq   Efficient high-order exponential time
                                  differencing methods for nonlinear
                                  fractional differential models . . . . . 1261--1288
                   Nicat Aliyev   Subspace method for the estimation of
                                  large-scale structured real stability
                                  radius . . . . . . . . . . . . . . . . . 1289--1310
              Shi-Ping Tang and   
                   Yu-Mei Huang   A matrix splitting preconditioning
                                  method for solving the discretized
                                  tempered fractional diffusion equations  1311--1333
        Guash Haile Taddele and   
                 Poom Kumam and   
     Pongsakorn Sunthrayuth and   
        Anteneh Getachew Gebrie   Self-adaptive algorithms for solving
                                  split feasibility problem with multiple
                                  output sets  . . . . . . . . . . . . . . 1335--1366
                  Jiyong Li and   
                     Liqing Zhu   A uniformly accurate exponential wave
                                  integrator Fourier pseudo-spectral
                                  method with structure-preservation for
                                  long-time dynamics of the Dirac equation
                                  with small potentials  . . . . . . . . . 1367--1401
             Ridwan Pandiya and   
              Salmah Salmah and   
              Widodo Widodo and   
               Irwan Endrayanto   Finding global minima with an inflection
                                  point-based filled function algorithm    1403--1424
            Somayeh Fouladi and   
              Reza Mokhtari and   
        Mohammad Shafi Dahaghin   Operator-splitting local discontinuous
                                  Galerkin method for multi-dimensional
                                  linear convection-diffusion equations    1425--1449
              Todd Arbogast and   
                   Chuning Wang   Direct serendipity and mixed finite
                                  elements on convex polygons  . . . . . . 1451--1483

Numerical Algorithms
Volume 92, Number 3, March, 2023

          Fahimeh Abdollahi and   
                  Masoud Fatemi   A modified conjugate gradient method for
                                  general convex functions . . . . . . . . 1485--1502
               Longbin Zhao and   
                Chengming Huang   The generalized quadrature method for a
                                  class of highly oscillatory Volterra
                                  integral equations . . . . . . . . . . . 1503--1516
            T. A. J. Ouermi and   
            Robert M. Kirby and   
                 Martin Berzins   ENO-based high-order data-bounded and
                                  constrained positivity-preserving
                                  interpolation  . . . . . . . . . . . . . 1517--1551
                  Jin Zhang and   
                    Xiaowei Liu   Supercloseness and postprocessing for
                                  linear finite element method on
                                  Bakhvalov-type meshes  . . . . . . . . . 1553--1570
              Hoa T. B. Ngo and   
            Mohsen Razzaghi and   
                    Thieu N. Vo   Fractional-order Chelyshkov wavelet
                                  method for solving variable-order
                                  fractional differential equations and an
                                  application in variable-order fractional
                                  relaxation system  . . . . . . . . . . . 1571--1588
         Daniel Acosta-Soba and   
Francisco Guillén-González and   
J. Rafael Rodríguez-Galván   An upwind DG scheme preserving the
                                  maximum principle for the convective
                                  Cahn--Hilliard model . . . . . . . . . . 1589--1619
                 Guodong Ma and   
                Jiachen Jin and   
                Jinbao Jian and   
               Jianghua Yin and   
                     Daolan Han   A modified inertial three-term conjugate
                                  gradient projection method for
                                  constrained nonlinear equations with
                                  applications in compressed sensing . . . 1621--1653
                    Nan Liu and   
               Yanping Chen and   
                Jiwei Zhang and   
                    Yanmin Zhao   Unconditionally optimal $ H^1 $-error
                                  estimate of a fast nonuniform
                                  L2-1$_\sigma $ scheme for nonlinear
                                  subdiffusion equations . . . . . . . . . 1655--1677
               Dongyang Shi and   
                  Houchao Zhang   Unconditional error estimates of
                                  linearized BDF2--Galerkin FEMs for
                                  nonlinear coupled Schrödinger-=Helmholtz
                                  equations  . . . . . . . . . . . . . . . 1679--1705
       César Herrera and   
  Ricardo Corrales-Barquero and   
      Jorge Arroyo-Esquivel and   
                  Juan G. Calvo   A numerical implementation for the
                                  high-order 2D virtual element method in
                                  MATLAB . . . . . . . . . . . . . . . . . 1707--1721
              Tongtong Hang and   
              Zhongguo Zhou and   
                    Hao Pan and   
                       Yan Wang   The conservative characteristic
                                  difference method and analysis for
                                  solving two-sided space-fractional
                                  advection--diffusion equations . . . . . 1723--1755
                 S. Tavares and   
          C. P. Brás and   
      A. L. Custódio and   
                  V. Duarte and   
                    P. Medeiros   Parallel strategies for Direct
                                  Multisearch  . . . . . . . . . . . . . . 1757--1788
          P. B. Vasconcelos and   
                J. E. Roman and   
                 J. M. A. Matos   Solving differential eigenproblems via
                                  the spectral Tau method  . . . . . . . . 1789--1811
             Chun-Hua Zhang and   
                Jian-Wei Yu and   
                     Xiang Wang   A fast second-order scheme for nonlinear
                                  Riesz space-fractional diffusion
                                  equations  . . . . . . . . . . . . . . . 1813--1836
     Md. Abdullah Al Mahbub and   
                    Li Shan and   
                  Haibiao Zheng   Uncoupling evolutionary
                                  groundwater-surface water flows:
                                  stabilized mixed methods in both porous
                                  media and fluid regions  . . . . . . . . 1837--1874
               Menglong Xue and   
                    Liping Pang   A strong sequential optimality condition
                                  for cardinality-constrained optimization
                                  problems . . . . . . . . . . . . . . . . 1875--1904
         Rahul Kumar Maurya and   
             Vineet Kumar Singh   A high-order adaptive numerical
                                  algorithm for fractional diffusion wave
                                  equation on non-uniform meshes . . . . . 1905--1950
                   Zhi Zhao and   
              Teng-Teng Yao and   
             Zheng-Jian Bai and   
                  Xiao-Qing Jin   A Riemannian inexact Newton dogleg
                                  method for constructing a symmetric
                                  nonnegative matrix with prescribed
                                  spectrum . . . . . . . . . . . . . . . . 1951--1981

Numerical Algorithms
Volume 92, Number 4, April, 2023

               Mahboub Baccouch   A superconvergent ultra-weak local
                                  discontinuous Galerkin method for
                                  nonlinear fourth-order boundary-value
                                  problems . . . . . . . . . . . . . . . . 1983--2023
  Michael Bartholomew-Biggs and   
              Salah Beddiaf and   
             Bruce Christianson   Global convergence of a curvilinear
                                  search for non-convex optimization . . . 2025--2043
          Laurence Grammont and   
          Rekha P. Kulkarni and   
           Paulo B. Vasconcelos   Fast and accurate solvers for weakly
                                  singular integral equations  . . . . . . 2045--2070
               Andrew Gibbs and   
               David Hewett and   
                  Andrea Moiola   Numerical quadrature for singular
                                  integrals on fractals  . . . . . . . . . 2071--2124
              Dongling Wang and   
                        Jun Zou   Mittag-Leffler stability of numerical
                                  solutions to time fractional ODEs  . . . 2125--2159
                  Nan Jiang and   
                  Huanhuan Yang   Artificial compressibility SAV ensemble
                                  algorithms for the incompressible
                                  Navier--Stokes equations . . . . . . . . 2161--2188
             Andrew V. Terekhov   An extra-component method for evaluating
                                  fast matrix-vector multiplication with
                                  special functions  . . . . . . . . . . . 2189--2217
      Dimitri Papadimitriou and   
       B\'\uang Công V\~u   A penalized nonlinear ADMM algorithm
                                  applied to the multi-constrained traffic
                                  assignment problem . . . . . . . . . . . 2219--2242
           Duong Viet Thong and   
                Xiaoxiao Li and   
               Qiao-Li Dong and   
               Vu Tien Dung and   
              Nguyen Phuong Lan   Strong and linear convergence of
                                  projection-type method with an inertial
                                  term for finding minimum-norm solutions
                                  of pseudomonotone variational
                                  inequalities in Hilbert spaces . . . . . 2243--2274
                   Rui Chen and   
                 Yaxiang Li and   
                  Kejia Pan and   
                  Xiaofeng Yang   Efficient second-order, linear,
                                  decoupled and unconditionally energy
                                  stable schemes of the
                                  Cahn--Hilliard-Darcy equations for the
                                  Hele--Shaw flow  . . . . . . . . . . . . 2275--2306
           Melanie Kircheis and   
               Daniel Potts and   
                 Manfred Tasche   Nonuniform fast Fourier transforms with
                                  nonequispaced spatial and frequency data
                                  and fast sinc transforms . . . . . . . . 2307--2339
               A. Alqahtani and   
                    T. Mach and   
                     L. Reichel   Solution of ill-posed problems with
                                  Chebfun  . . . . . . . . . . . . . . . . 2341--2364
 André Pierro de Camargo   A Chebyshev--Markov--Stieltjes
                                  separation type theorem for classical
                                  Romberg quadrature . . . . . . . . . . . 2365--2376
                   Zheng Ma and   
                Chengming Huang   An hp-version fractional collocation
                                  method for Volterra integro-differential
                                  equations with weakly singular kernels   2377--2404
                 Bingjie Ji and   
             Jiansong Zhang and   
                     Yue Yu and   
                         Yun Yu   A new expanded mixed finite element
                                  method for Kirchhoff type parabolic
                                  equation . . . . . . . . . . . . . . . . 2405--2432
                     Min Li and   
                 Xinjie Dai and   
                Chengming Huang   Fast Euler--Maruyama method for weakly
                                  singular stochastic Volterra integral
                                  equations with variable exponent . . . . 2433--2455
            Subhash Chandra and   
                 Syed Abbas and   
                  Saurabh Verma   Bernstein super fractal interpolation
                                  function for countable data systems  . . 2457--2481
              Marco Caliari and   
              Fabio Cassini and   
               Franco Zivcovich   A $ \mu $-mode BLAS approach for
                                  multidimensional tensor-structured
                                  problems . . . . . . . . . . . . . . . . 2483--2508


Numerical Algorithms
Volume 93, Number 1, May, 2023

                   Soumitra Dey   A hybrid inertial and contraction
                                  proximal point algorithm for monotone
                                  variational inclusions . . . . . . . . . 1--25
              Felix Kastner and   
      Andreas Rößler   An analysis of approximation algorithms
                                  for iterated stochastic integrals and a
                                  Julia and Matlab simulation toolbox  . . 27--66
                Xinhui Wang and   
                    Guangzhi Du   Local and parallel stabilized finite
                                  element methods based on two-grid
                                  discretizations for the Stokes equations 67--83
              Zhong-Zhi Bai and   
                     Kang-Ya Lu   An economic implementation of the
                                  optimal rotated block-diagonal
                                  preconditioning method . . . . . . . . . 85--101
Francisco J. Aragón-Artacho and   
                Radu I. Bot and   
  David Torregrosa-Belén   A primal-dual splitting algorithm for
                                  composite monotone inclusions with
                                  minimal lifting  . . . . . . . . . . . . 103--130
M. A. Hernández-Verón and   
                Nisha Yadav and   
  Eulalia Mart\'ìnez and   
                  Sukhjit Singh   Kurchatov-type methods for
                                  non-differentiable Hammerstein-type
                                  integral equations . . . . . . . . . . . 131--155
             William McLean and   
                Kassem Mustapha   Error profile for discontinuous Galerkin
                                  time stepping of parabolic PDEs  . . . . 157--177
                 Biao Zhang and   
                       Yin Yang   A new linearized maximum principle
                                  preserving and energy stability scheme
                                  for the space fractional Allen--Cahn
                                  equation . . . . . . . . . . . . . . . . 179--202
           Harmandeep Singh and   
           Janak Raj Sharma and   
                    Sunil Kumar   A simple yet efficient two-step
                                  fifth-order weighted-Newton method for
                                  nonlinear models . . . . . . . . . . . . 203--225
              Zhen-Chen Guo and   
                      Xin Liang   The intrinsic Toeplitz structure and its
                                  applications in algebraic Riccati
                                  equations  . . . . . . . . . . . . . . . 227--267
              Zhongbing Xie and   
                   Gang Cai and   
                   Qiao-Li Dong   Strong convergence of Bregman projection
                                  method for solving variational
                                  inequality problems in reflexive Banach
                                  spaces . . . . . . . . . . . . . . . . . 269--294
            Itsuki Horiuchi and   
             Kensuke Aihara and   
              Toshio Suzuki and   
                 Emiko Ishiwata   Global GPBiCGstab($L$) method for
                                  solving linear matrix equations  . . . . 295--319
                Aswin V. S. and   
          Riyasudheen T. K. and   
                 Ashish Awasthi   Differential quadrature parallel
                                  algorithms for solving systems of
                                  convection--diffusion and reaction
                                  models . . . . . . . . . . . . . . . . . 321--346
            Natasa Kreji\'c and   
   Natasa Krklec Jerinki\'c and   
               Tijana Ostoji\'c   Spectral projected subgradient method
                                  for nonsmooth convex optimization
                                  problems . . . . . . . . . . . . . . . . 347--365
                Xiaowei Liu and   
                      Jin Zhang   Supercloseness of weak Galerkin method
                                  on Bakhvalov-type mesh for a singularly
                                  perturbed problem in 1D  . . . . . . . . 367--395
   Kadri Harouna Souleymane and   
                 Ka\"\is Ammari   Boundary value problems initial
                                  condition identification by a
                                  wavelet-based Galerkin method  . . . . . 397--414
                Songnian He and   
               Qiao-Li Dong and   
                    Xiaoxiao Li   The randomized Kaczmarz algorithm with
                                  the probability distribution depending
                                  on the angle . . . . . . . . . . . . . . 415--440
         Thomas G. Anderson and   
                Marc Bonnet and   
            Shravan Veerapaneni   Quantifying mixing in arbitrary fluid
                                  domains: a Padé approximation approach    441--458

Numerical Algorithms
Volume 93, Number 2, June, 2023

            Giulia Di Nunno and   
             Yuliya Mishura and   
      Anton Yurchenko-Tytarenko   Drift-implicit Euler scheme for
                                  sandwiched processes driven by Hölder
                                  noises . . . . . . . . . . . . . . . . . 459--491
                   Xiang Wu and   
                  Kanjian Zhang   A limited-memory BFGS-based differential
                                  evolution algorithm for optimal control
                                  of nonlinear systems with mixed control
                                  variables and probability constraints    493--542
             Zhengguang Liu and   
                  Nan Zheng and   
                   Zhaojie Zhou   A highly efficient and accurate new SAV
                                  approach for the modified phase field
                                  crystal model  . . . . . . . . . . . . . 543--562
              Xiaochen Yang and   
                  Mengna Li and   
               Zhanwen Yang and   
                  Chiping Zhang   Numerical analysis of a linearly
                                  backward Euler method with truncated
                                  Wiener process for a stochastic SIS
                                  model  . . . . . . . . . . . . . . . . . 563--579
           Jörg Liesen and   
       Mohamed M. S. Nasser and   
                 Olivier S\`ete   Computing the logarithmic capacity of
                                  compact sets having (infinitely) many
                                  components with the charge simulation
                                  method . . . . . . . . . . . . . . . . . 581--614
              Ian C. T. May and   
           Ronald D. Haynes and   
                Steven J. Ruuth   A closest point method library for PDEs
                                  on surfaces with parallel domain
                                  decomposition solvers and
                                  preconditioners  . . . . . . . . . . . . 615--637
               Narin Petrot and   
        Mootta Prangprakhon and   
        Porntip Promsinchai and   
                   Nimit Nimana   A dynamic distributed conjugate gradient
                                  method for variational inequality
                                  problem over the common fixed-point
                                  constraints  . . . . . . . . . . . . . . 639--668
           Henrik Eisenmann and   
              Felix Krahmer and   
                Max Pfeffer and   
         André Uschmajew   Riemannian thresholding methods for
                                  row-sparse and low-rank matrix recovery  669--693
                      Xu Li and   
                  Yi-Xin Li and   
                        Yan Dou   Shift-splitting fixed point iteration
                                  method for solving generalized absolute
                                  value equations  . . . . . . . . . . . . 695--710
                  Hua Zheng and   
            Yongxiong Zhang and   
                Xiaoping Lu and   
                  Seakweng Vong   Modulus-based synchronous multisplitting
                                  iteration methods for large sparse
                                  vertical linear complementarity problems 711--729
                   Kathryn Lund   Adaptively restarted block Krylov
                                  subspace methods with
                                  low-synchronization skeletons  . . . . . 731--764
                Yongchao Yu and   
                     Jigen Peng   DCACO: an algorithm for designing
                                  incoherent redundant matrices  . . . . . 785--813
                Xinhui Wang and   
                Guangzhi Du and   
                          Yi Li   A modified local and parallel finite
                                  element method for the coupled
                                  Stokes--Darcy model with the
                                  Beavers--Joseph interface condition  . . 815--831
                   Jean Kieffer   Certified Newton schemes for the
                                  evaluation of low-genus theta functions  833--862
               Zhichao Fang and   
                   Jie Zhao and   
                    Hong Li and   
                       Yang Liu   A fast time two-mesh finite volume
                                  element algorithm for the nonlinear
                                  time-fractional coupled diffusion model  863--898
                Ji-Teng Jia and   
                   Rong Xie and   
                Xiao-Yan Xu and   
                    Shuo Ni and   
                       Jie Wang   A bidiagonalization-based numerical
                                  algorithm for computing the inverses of
                                  $ (p, q)$-tridiagonal matrices . . . . . 899--917
                Si-Wei Liao and   
             Guo-Feng Zhang and   
               Zhao-Zheng Liang   A preconditioned general modulus-based
                                  matrix splitting iteration method for
                                  solving horizontal linear
                                  complementarity problems . . . . . . . . 919--947

Numerical Algorithms
Volume 93, Number 3, July, 2023

             Xiaoliang Wang and   
               Gonglin Yuan and   
                    Liping Pang   A class of new three-term descent
                                  conjugate gradient algorithms for
                                  large-scale unconstrained optimization
                                  and applications to image restoration
                                  problems . . . . . . . . . . . . . . . . 949--970
                   Yang Shi and   
              Chenling Ding and   
                   Shuai Li and   
                     Bin Li and   
                   Xiaobing Sun   Discrete generalized-Sylvester matrix
                                  equation solved by RNN with a novel
                                  direct discretization numerical method   971--992
                 Maohua Ran and   
                  Zhouping Feng   A stable second-order difference scheme
                                  for the generalized time-fractional
                                  non-Fickian delay reaction-diffusion
                                  equations  . . . . . . . . . . . . . . . 993--1012
              Hoda F. Ahmed and   
                   W. A. Hashem   Improved Gegenbauer spectral tau
                                  algorithms for distributed-order
                                  time-fractional telegraph models in
                                  multi-dimensions . . . . . . . . . . . . 1013--1043
               Dingwen Deng and   
             Jingliang Chen and   
                    Qihong Wang   Energy-preserving Du Fort--Frankel
                                  difference schemes for solving
                                  sine-Gordon equation and coupled
                                  sine-Gordon equations  . . . . . . . . . 1045--1081
                Leijie Qiao and   
                 Wenlin Qiu and   
                          Da Xu   Crank--Nicolson ADI finite
                                  difference/compact difference schemes
                                  for the 3D tempered integrodifferential
                                  equation associated with Brownian motion 1083--1104
           Duong Viet Thong and   
               Simeon Reich and   
               Yekini Shehu and   
              Olaniyi S. Iyiola   Novel projection methods for solving
                                  variational inequality problems and
                                  applications . . . . . . . . . . . . . . 1105--1135
          Christian Reinsch and   
                Mathias Richter   Singular value decomposition in extended
                                  double precision arithmetic  . . . . . . 1137--1155
          Pinaki Prasad Kar and   
            Priyabrat Gochhayat   Interlacing and bounds of zeros of
                                  quasi-orthogonal little $q$-Jacobi
                                  polynomials  . . . . . . . . . . . . . . 1157--1170
            Giro Candelario and   
             Alicia Cordero and   
         Juan R. Torregrosa and   
    Mar\'ìa P. Vassileva   Generalized conformable fractional
                                  Newton-type method for solving nonlinear
                                  systems  . . . . . . . . . . . . . . . . 1171--1208
                   Zhi Zhao and   
                   Qin Zeng and   
                 Yu-Nong Xu and   
               Ya-Guan Qian and   
                  Teng-Teng Yao   A projection algorithm for
                                  pseudomonotone vector fields with convex
                                  constraints on Hadamard manifolds  . . . 1209--1223
                   Sanda Micula   Numerical solution of two-dimensional
                                  Hammerstein integral equations via
                                  quadratic spline collocation . . . . . . 1225--1241
                Yining Yang and   
                   Ziyu Sun and   
                   Yang Liu and   
                        Hong Li   Structure-preserving BDF2 FE method for
                                  the coupled Schrödinger--Boussinesq
                                  equations  . . . . . . . . . . . . . . . 1243--1267
       Vladimir R. Kosti\'c and   
                  Saverio Salzo   The method of randomized Bregman
                                  projections for stochastic feasibility
                                  problems . . . . . . . . . . . . . . . . 1269--1307
                Zhigang Jia and   
                   Xuan Liu and   
                Jingfei Zhu and   
                  Meixiang Zhao   Harmonic multi-symplectic Lanczos
                                  algorithm for quaternion singular
                                  triplets . . . . . . . . . . . . . . . . 1309--1335
                 Kaiwen Shi and   
               Xinlong Feng and   
                      Haiyan Su   Optimal error estimate of the penalty
                                  method for the 2D\slash 3D
                                  time-dependent MHD equations . . . . . . 1337--1371
               Shen Peiping and   
                 Wang Yafei and   
                    Wu Dianxiao   A spatial branch and bound algorithm for
                                  solving the sum of linear ratios
                                  optimization problem . . . . . . . . . . 1373--1400
          Maksymilian Bujok and   
        Alicja Smoktunowicz and   
               Grzegorz Borowik   On computing the symplectic $ L L^T $
                                  factorization  . . . . . . . . . . . . . 1401--1416

Numerical Algorithms
Volume 93, Number 4, August, 2023

              Lionel Tondji and   
                 Dirk A. Lorenz   Faster randomized block sparse Kaczmarz
                                  by averaging . . . . . . . . . . . . . . 1417--1451
                  B. Campos and   
                  J. Canela and   
                      P. Vindel   Dynamics of Newton-like root finding
                                  methods  . . . . . . . . . . . . . . . . 1453--1480
               Yonggang Pei and   
              Shaofang Song and   
                     Detong Zhu   A filter sequential adaptive cubic
                                  regularization algorithm for nonlinear
                                  constrained optimization . . . . . . . . 1481--1507
     Radek Fu\vc\'ìk and   
              Pavel Eichler and   
    Jakub Klinkovský and   
              Robert Straka and   
       Tomá\vs Oberhuber   Lattice Boltzmann Method Analysis Tool
                                  (LBMAT)  . . . . . . . . . . . . . . . . 1509--1525
            Zohre Aminifard and   
        Saman Babaie-Kafaki and   
                Fatemeh Dargahi   Nonmonotone Quasi-Newton-based conjugate
                                  gradient methods with application to
                                  signal processing  . . . . . . . . . . . 1527--1541
            M. J. Senosiain and   
                      A. Tocino   A survey of mean-square destabilization
                                  of multidimensional linear stochastic
                                  differential systems with non-normal
                                  drift  . . . . . . . . . . . . . . . . . 1543--1559
                  Antonio Fazzi   Structured low-rank approximation for
                                  nonlinear matrices . . . . . . . . . . . 1561--1580
                   Yue Wang and   
               Youxing Zhao and   
                        Hu Chen   Discrete comparison principle of a
                                  finite difference method for the
                                  multi-term time fractional diffusion
                                  equation . . . . . . . . . . . . . . . . 1581--1593
              Jiangli Liang and   
                 Shuhuang Xiang   A kernel-independent uniform fast
                                  multipole method based on barycentric
                                  rational interpolation . . . . . . . . . 1595--1611
           Pierluigi Amodio and   
             Luigi Brugnano and   
               Felice Iavernaro   (Spectral) Chebyshev collocation methods
                                  for solving differential equations . . . 1613--1638
                   Yigui Ou and   
                         Lin Li   A unified convergence analysis of the
                                  derivative-free projection-based method
                                  for constrained nonlinear monotone
                                  equations  . . . . . . . . . . . . . . . 1639--1660
                  Shilin Mi and   
                Guangzhi Du and   
                       Yao Rong   Local and parallel finite element
                                  algorithms for magnetohydrodynamic flows
                                  with low electromagnetic Reynolds number 1661--1683
                Zijun Zheng and   
                      Gang Pang   A fast accurate artificial boundary
                                  condition for the Euler--Bernoulli beam  1685--1718
               Zhengjie Sun and   
                      Yuyan Gao   High order multiquadric trigonometric
                                  quasi-interpolation method for solving
                                  time-dependent partial differential
                                  equations  . . . . . . . . . . . . . . . 1719--1739
            Irina Georgieva and   
             Clemens Hofreither   A Newton method for best uniform
                                  rational approximation . . . . . . . . . 1741--1758
             Davoud Mirzaei and   
               Navid Soodbakhsh   A fault detection method based on
                                  partition of unity and kernel
                                  approximation  . . . . . . . . . . . . . 1759--1794
                 Xindong Li and   
                Mingyang Du and   
                      Wenwen Xu   A multipoint flux mixed finite element
                                  method with mass-conservative
                                  characteristic finite element method for
                                  incompressible miscible displacement
                                  problem  . . . . . . . . . . . . . . . . 1795--1810
                 V. Agrawal and   
                     T. Som and   
                       S. Verma   A note on stability and fractal
                                  dimension of bivariate $ \alpha
                                  $-fractal functions  . . . . . . . . . . 1811--1833


Numerical Algorithms
Volume 94, Number 1, September, 2023

             Vando A. Adona and   
     Max L. N. Gonçalves   An inexact version of the symmetric
                                  proximal ADMM for solving separable
                                  convex optimization  . . . . . . . . . . 1--28
           Van-Thanh Nguyen and   
                  Laura Grigori   Interpretation of parareal as a
                                  two-level additive Schwarz in time
                                  preconditioner and its acceleration with
                                  GMRES  . . . . . . . . . . . . . . . . . 29--72
              Fengxia Zhang and   
                    Ying Li and   
                    Jianli Zhao   A real unconstrained equivalent problem
                                  of the quaternion equality constrained
                                  weighted least squares problem . . . . . 73--91
                   Ziyi Lei and   
                 Siqing Gan and   
                       Jing Liu   First order strong approximation of
                                  Ait--Sahalia-type interest rate model
                                  with Poisson jumps . . . . . . . . . . . 93--130
              Chunming Tang and   
               Wancheng Tan and   
                Shajie Xing and   
                   Haiyan Zheng   A class of spectral conjugate gradient
                                  methods for Riemannian optimization  . . 131--147
             Luca Gemignani and   
                 Beatrice Meini   Relaxed fixed point iterations for
                                  matrix equations arising in Markov chain
                                  modeling . . . . . . . . . . . . . . . . 149--173
         Julius Fergy T. Rabago   Numerical solution to the exterior
                                  Bernoulli problem using the
                                  Dirichlet--Robin energy gap cost
                                  functional approach in two and three
                                  dimensions . . . . . . . . . . . . . . . 175--227
                Sandip Maji and   
             Srinivasan Natesan   Analytical and numerical solution
                                  techniques for a class of
                                  time-fractional integro-partial
                                  differential equations . . . . . . . . . 229--256
           Nicola Guglielmi and   
                   Ernst Hairer   Sliding modes of high codimension in
                                  piecewise-smooth dynamical systems . . . 257--273
            Farshid Mirzaee and   
            Shiva Naserifar and   
                    Erfan Solhi   Accurate and stable numerical method
                                  based on the Floater--Hormann
                                  interpolation for stochastic
                                  Itô--Volterra integral equations  . . . . 275--292
                    Ni Miao and   
                Danxia Wang and   
              Haifeng Zhang and   
                       Jing Liu   A second-order BDF convex splitting
                                  numerical scheme for the
                                  Ericksen--Leslie equation  . . . . . . . 293--314
             Eugenio Aulisa and   
                Jonathon Loftin   Exact subdomain and embedded interface
                                  polynomial integration in finite
                                  elements with planar cuts  . . . . . . . 315--350
              Bao-Feng Feng and   
              Han-Han Sheng and   
                      Guo-Fu Yu   Integrable semi-discretizations and
                                  self-adaptive moving mesh method for a
                                  generalized sine-Gordon equation . . . . 351--370
               Yongyong Cai and   
                  Xuanxuan Zhou   Uniformly accurate nested Picard
                                  iterative integrators for the
                                  Klein--Gordon--Schrödinger equation in
                                  the nonrelativistic regime . . . . . . . 371--396
 Maryam Khoshsimaye-Bargard and   
                    Ali Ashrafi   A descent spectral Dai--Liao method
                                  based on the quasi-Newton aspects  . . . 397--411
             Yongshuai Wang and   
                         Yi Qin   Second-order partitioned method and
                                  adaptive time step algorithms for the
                                  nonstationary Stokes--Darcy equations    413--457
                Xiaowei Liu and   
                      Jin Zhang   Uniform convergence of optimal order for
                                  a finite element method on a
                                  Bakhvalov-type mesh for a singularly
                                  perturbed convection-diffusion equation
                                  with parabolic layers  . . . . . . . . . 459--478
                  Fan Jiang and   
                 Xingju Cai and   
                      Deren Han   Inexact asymmetric
                                  forward--backward-adjoint splitting
                                  algorithms for saddle point problems . . 479--509

Numerical Algorithms
Volume 94, Number 2, October, 2023

                 Qian Zhang and   
                   Zhiyue Zhang   Nitsche's method for elliptic Dirichlet
                                  boundary control problems on curved
                                  domains  . . . . . . . . . . . . . . . . 511--545
                  Petr Knobloch   An algebraically stabilized method for
                                  convection--diffusion-reaction problems
                                  with optimal experimental convergence
                                  rates on general meshes  . . . . . . . . 547--580
                Shaobo Zhou and   
                        Hai Jin   The truncated Euler--Maruyama method for
                                  highly nonlinear stochastic differential
                                  equations with multiple time delays  . . 581--617
                 Xiying Wan and   
                 Guanghui Cheng   Weighted hybrid truncated norm
                                  regularization method for low-rank
                                  matrix completion  . . . . . . . . . . . 619--641
                 Tingfu Yao and   
                Changlun Ye and   
               Xianbing Luo and   
                   Shuwen Xiang   An ensemble scheme for the numerical
                                  solution of a random transient heat
                                  equation with uncertain inputs . . . . . 643--668
                 Amparo Gil and   
Diego Ruiz-Antol\'ìn and   
              Javier Segura and   
                  Nico M. Temme   Computation of the confluent
                                  hypergeometric function $ U(a, b, x) $
                                  and its derivative for positive
                                  arguments  . . . . . . . . . . . . . . . 669--679
                  Eric Ngondiep   A high-order numerical scheme for
                                  multidimensional
                                  convection--diffusion-reaction equation
                                  with time-fractional derivative  . . . . 681--700
           Voichi\cta Maxim and   
               Yuemeng Feng and   
             Hussein Banjak and   
                    Elie Bretin   Tomographic reconstruction from Poisson
                                  distributed data: a fast and convergent
                                  EM--TV dual approach . . . . . . . . . . 701--731
                Jiming Yang and   
                      Jing Zhou   A two-grid combined mixed finite element
                                  and discontinuous Galerkin method for a
                                  compressible miscible displacement
                                  problem  . . . . . . . . . . . . . . . . 733--763
         N. Hoseini Monjezi and   
                  S. Nobakhtian   New proximal bundle algorithm based on
                                  the gradient sampling method for
                                  nonsmooth nonconvex optimization with
                                  exact and inexact information  . . . . . 765--787
                Shuguang Li and   
         Oleg V. Kravchenko and   
                         Kai Qu   On the $ L^\infty $ convergence of a
                                  novel fourth-order compact and
                                  conservative difference scheme for the
                                  generalized Rosenau--KdV--RLW equation   789--816
                Manuj Verma and   
               Amit Priyadarshi   Dimensions of new fractal functions and
                                  associated measures  . . . . . . . . . . 817--846
      Gérard Meurant and   
              Petr Tichý   The behavior of the Gauss--Radau upper
                                  bound of the error norm in CG  . . . . . 847--876
                Zhisong Hou and   
                    Sanyang Liu   An accelerating outer space algorithm
                                  for globally solving generalized linear
                                  multiplicative problems  . . . . . . . . 877--904
           Chahinaz Chenouf and   
                  Mohamed Rahal   On Hölder global optimization method
                                  using piecewise affine bounding
                                  functions  . . . . . . . . . . . . . . . 905--935
              Saumya Bajpai and   
          Deepjyoti Goswami and   
                     Kallol Ray   A priori error estimates of a
                                  discontinuous Galerkin method for the
                                  Navier--Stokes equations . . . . . . . . 937--1002
               Nick Dewaele and   
              Paul Breiding and   
           Nick Vannieuwenhoven   The condition number of many tensor
                                  decompositions is invariant under Tucker
                                  compression  . . . . . . . . . . . . . . 1003--1029
               Yongle Zhang and   
                 Limei Feng and   
                       Yiran He   A new low-cost feasible projection
                                  algorithm for pseudomonotone variational
                                  inequalities . . . . . . . . . . . . . . 1031--1054

Numerical Algorithms
Volume 94, Number 3, November, 2023

                Pengjie Liu and   
                    Hu Shao and   
                Zihang Yuan and   
                  Xiaoyu Wu and   
                  Tianlei Zheng   A family of three-term conjugate
                                  gradient projection methods with a
                                  restart procedure and their
                                  relaxed-inertial extensions for the
                                  constrained nonlinear pseudo-monotone
                                  equations with applications  . . . . . . 1055--1083
                   Shiru Li and   
                   Yong Xia and   
                          Zi Xu   Simultaneous perturbation stochastic
                                  approximation: towards one-measurement
                                  per iteration  . . . . . . . . . . . . . 1085--1101
                C. A. Arias and   
                C. Gómez   Inexact free derivative quasi-Newton
                                  method for large-scale nonlinear system
                                  of equations . . . . . . . . . . . . . . 1103--1123
       Aliyu Muhammed Awwal and   
              Thongchai Botmart   A new sufficiently descent algorithm for
                                  pseudomonotone nonlinear operator
                                  equations and signal reconstruction  . . 1125--1158
                Qiaohua Liu and   
                 Qian Zhang and   
                   Xiangjian Xu   Accuracy and stability of quaternion
                                  Gaussian elimination . . . . . . . . . . 1159--1183
                     Su Lei and   
                Yanyan Wang and   
                         Rui Du   A finite difference scheme for the
                                  two-dimensional Gray--Scott equation
                                  with fractional Laplacian  . . . . . . . 1185--1215
               Simeon Reich and   
                   Rafa\l Zalas   Polynomial estimates for the method of
                                  cyclic projections in Hilbert spaces . . 1217--1242
                 Ritu Nigam and   
              Nilofar Nahid and   
        Samiran Chakraborty and   
           Gnaneshwar Nelakanti   Superconvergence results for non-linear
                                  Hammerstein integral equations on
                                  unbounded domain . . . . . . . . . . . . 1243--1279
               M. H. Annaby and   
              I. A. Al-Abdi and   
               A. F. Ghaleb and   
                M. S. Abou-Dina   Hermite interpolation theorems for
                                  band-limited functions of the linear
                                  canonical transforms with equidistant
                                  samples  . . . . . . . . . . . . . . . . 1281--1308
                Chengyu Liu and   
                    Guanghui Hu   An MP--DWR method for $h$-adaptive
                                  finite element methods . . . . . . . . . 1309--1329
            Dhivya Prabhu K and   
              Sanjeev Singh and   
                Antony Vijesh V   A third-order iterative algorithm for
                                  inversion of cumulative central beta
                                  distribution . . . . . . . . . . . . . . 1331--1353
                 Xiaolong Zhang   Comparisons of best approximations with
                                  Chebyshev expansions for functions with
                                  logarithmic endpoint singularities . . . 1355--1379
                 Xing Huang and   
              Yongqiang Suo and   
                  Chenggui Yuan   Estimate of transition kernel for
                                  Euler--Maruyama scheme for SDEs driven
                                  by $ \alpha $-stable noise and
                                  applications . . . . . . . . . . . . . . 1381--1402
                   Yun Zeng and   
                  Deren Han and   
                Yansheng Su and   
                     Jiaxin Xie   Randomized Kaczmarz method with adaptive
                                  stepsizes for inconsistent linear
                                  systems  . . . . . . . . . . . . . . . . 1403--1420
            Maryam Shams Solary   From matrix polynomial to determinant of
                                  block Toeplitz--Hessenberg matrix  . . . 1421--1434
                 Sahu D. R. and   
                Babu Feeroz and   
                 Sharma Shikher   A new self-adaptive iterative method for
                                  variational inclusion problems on
                                  Hadamard manifolds with applications . . 1435--1460
               Hatem Zayeni and   
              Amel Ben Abda and   
             Franck Delvare and   
                   Faten Khayat   Fading regularization MFS algorithm for
                                  the Cauchy problem associated with the
                                  two-dimensional Stokes equations . . . . 1461--1488
                    Qing Li and   
              Huanzhen Chen and   
                      Hong Wang   A proper orthogonal
                                  decomposition-compact difference
                                  algorithm for plate vibration models . . 1489--1518

Numerical Algorithms
Volume 94, Number 4, December, 2023

              Jaspreet Kaur and   
             Srinivasan Natesan   A novel numerical scheme for
                                  time-fractional Black--Scholes PDE
                                  governing European options in
                                  mathematical finance . . . . . . . . . . 1519--1549
         Muhammad Abdullahi and   
        Auwal Bala Abubakar and   
                Yuming Feng and   
                     Jinkui Liu   Comment on: ``A derivative-free
                                  iterative method for nonlinear monotone
                                  equations with convex constraints''  . . 1551--1560
                 Bi-Yun Zhu and   
                Ai-Guo Xiao and   
                    Xue-Yang Li   An efficient numerical method on
                                  modified space-time sparse grid for
                                  time-fractional diffusion equation with
                                  nonsmooth data . . . . . . . . . . . . . 1561--1596
          Rebekka S. Beddig and   
          Jörn Behrens and   
                Sabine Le Borne   A low-rank update for relaxed Schur
                                  complement preconditioners in fluid flow
                                  problems . . . . . . . . . . . . . . . . 1597--1618
               Chengxin Shi and   
                  Hao Cheng and   
                    Wenping Fan   An iterative generalized quasi-boundary
                                  value regularization method for the
                                  backward problem of time fractional
                                  diffusion-wave equation in a cylinder    1619--1651
            Daniel Kressner and   
                   Yuxin Ma and   
                    Meiyue Shao   A mixed precision LOBPCG algorithm . . . 1653--1671
       Bart\lomiej Jacek Kubica   Algorithmic differentiation and
                                  hull-consistency enforcing using C++
                                  template meta-programming  . . . . . . . 1673--1704
                Jinhong Jia and   
                  Hong Wang and   
               Xiangcheng Zheng   A fast algorithm for time-fractional
                                  diffusion equation with
                                  space-time-dependent variable order  . . 1705--1730
               Wanxiang Liu and   
               Yanping Chen and   
                  Qiling Gu and   
                  Yunqing Huang   Virtual element method for nonlinear
                                  Sobolev equation on polygonal meshes . . 1731--1761
              Tan Nhat Pham and   
                Minh N. Dao and   
          Rakibuzzaman Shah and   
           Nargiz Sultanova and   
                  Guoyin Li and   
                     Syed Islam   A proximal subgradient algorithm with
                                  extrapolation for structured nonconvex
                                  nonsmooth problems . . . . . . . . . . . 1763--1795
                Kay Barshad and   
                Aviv Gibali and   
                   Simeon Reich   The generalized modular string averaging
                                  procedure and its applications to
                                  iterative methods for solving various
                                  nonlinear operator theory problems . . . 1797--1818
                 Sangho Kum and   
                   Chong Li and   
                Jinhua Wang and   
               Jen-Chih Yao and   
                Linglingzhi Zhu   Riemannian linearized proximal
                                  algorithms for nonnegative inverse
                                  eigenvalue problem . . . . . . . . . . . 1819--1848
                  Jiarui Du and   
               Yuanpeng Zhu and   
                       Xuli Han   Fast algorithms for interpolation and
                                  smoothing for a general class of fourth
                                  order exponential splines  . . . . . . . 1849--1881
                Guangzhi Du and   
                  Shilin Mi and   
                    Xinhui Wang   Local and parallel finite element
                                  methods based on two-grid
                                  discretizations for the unsteady mixed
                                  Stokes--Darcy model with the
                                  Beavers--Joseph interface condition  . . 1883--1918
                  Wumei Sun and   
                Hongwei Liu and   
                     Zexian Liu   A regularized limited memory subspace
                                  minimization conjugate gradient method
                                  for unconstrained optimization . . . . . 1919--1948
            Hiroshi Sugiura and   
             Takemitsu Hasegawa   Two formulae with nodes related to zeros
                                  of Bessel functions for semi-infinite
                                  integrals: extending Gauss--Jacobi-type
                                  rules  . . . . . . . . . . . . . . . . . 1949--1981
               Zhaojie Zhou and   
                    Jie Liu and   
               Yanping Chen and   
                    Qiming Wang   Finite element approximation of optimal
                                  control problem with integral fractional
                                  Laplacian and state constraint . . . . . 1983--2004
                Hyunjun Kim and   
                      Minho Kim   Analytic evaluation of the FCC
                                  Voronoi-splines  . . . . . . . . . . . . 2005--2030


Numerical Algorithms
Volume 95, Number 1, 2024

                  Xingyu An and   
               Qingxia Wang and   
                 Fawang Liu and   
                  Vo V. Anh and   
                  Ian W. Turner   Parameter estimation for time-fractional
                                  Black--Scholes equation with S&P 500
                                  index option . . . . . . . . . . . . . . 1--30
                 Annie Cuyt and   
                   Wen-shin Lee   Multiscale matrix pencils for separable
                                  reconstruction problems  . . . . . . . . 31--72
            Hrushikesh Jena and   
            Mahendra Kumar Jena   An introduction to a hybrid
                                  trigonometric box spline surface
                                  producing subdivision scheme . . . . . . 73--116
               Xiaolin Zhou and   
                   Gang Cai and   
                   Bing Tan and   
                   Qiao-Li Dong   A modified generalized version of
                                  projected reflected gradient method in
                                  Hilbert spaces . . . . . . . . . . . . . 117--147
               Conte Dajana and   
             Cuesta Eduardo and   
              Valentino Carmine   Non-stationary wave relaxation methods
                                  for general linear systems of Volterra
                                  equations: convergence and parallel GPU
                                  implementation . . . . . . . . . . . . . 149--180
                 Fatih Idiz and   
              Gamze Tanoglu and   
               Nasser Aghazadeh   A numerical method based on Legendre
                                  wavelet and quasilinearization technique
                                  for fractional Lane--Emden type
                                  equations  . . . . . . . . . . . . . . . 181--206
                  Ting Wang and   
                    Hongwei Liu   A class of modified accelerated proximal
                                  gradient methods for nonsmooth and
                                  nonconvex minimization problems  . . . . 207--241
                   Kamran Kazmi   A fast and high-order IMEX method for
                                  non-linear time--space-fractional
                                  reaction--diffusion equations  . . . . . 243--266
                 Dong Zhang and   
             Tongsong Jiang and   
                Chuan Jiang and   
                      Gang Wang   A complex structure-preserving algorithm
                                  for computing the singular value
                                  decomposition of a quaternion matrix and
                                  its applications . . . . . . . . . . . . 267--283
Juan C. García-Ardila and   
             Misael E. Marriaga   Approximation by polynomials in Sobolev
                                  spaces associated with classical moment
                                  functionals  . . . . . . . . . . . . . . 285--318
                    R. Wang and   
                    L. Qiao and   
                 M. A. Zaky and   
                    A. S. Hendy   A second-order finite difference scheme
                                  for nonlinear tempered fractional
                                  integrodifferential equations in three
                                  dimensions . . . . . . . . . . . . . . . 319--349
           Sandy Bitterlich and   
               Sorin-Mihai Grad   Stochastic incremental mirror descent
                                  algorithms with Nesterov smoothing . . . 351--382
                 Hideaki Iiduka   Theoretical analysis of Adam using
                                  hyperparameters close to one without
                                  Lipschitz smoothness . . . . . . . . . . 383--421
                  Yibo Wang and   
                    Wanrong Cao   Strong 1.5 order scheme for fractional
                                  Langevin equation based on spectral
                                  approximation of white noise . . . . . . 423--450
            Silvia Noschese and   
                 Lothar Reichel   Network analysis with the aid of the
                                  path length matrix . . . . . . . . . . . 451--470
          Antoine Bernigaud and   
              Serge Gratton and   
                  Ehouarn Simon   A non-linear conjugate gradient in dual
                                  space for $ L_p $-norm regularized
                                  non-linear least squares with
                                  application in data assimilation . . . . 471--497
            Stefano Berrone and   
            Denise Grappein and   
               Stefano Scial\`o   A PDE-constrained optimization method
                                  for 3D--1D coupled problems with
                                  discontinuous solutions  . . . . . . . . 499--526
            Sivalingam S. M and   
           Pushpendra Kumar and   
                  V. Govindaraj   A novel method to approximate fractional
                                  differential equations based on the
                                  theory of functional connections . . . . 527--549

Numerical Algorithms
Volume 95, Number 2, 2024

               Hevert Vivas and   
        Rosana Pérez and   
                Carlos A. Arias   A nonsmooth Newton method for solving
                                  the generalized complementarity problem  551--574
                    Min Sun and   
                      Yiju Wang   A relaxed proximal ADMM method for block
                                  separable convex programming . . . . . . 575--603
             Mihai Bucataru and   
                    Liviu Marin   Accelerated iterative algorithms for the
                                  Cauchy problem in steady-state
                                  anisotropic heat conduction  . . . . . . 605--636
                Yuxuan Wang and   
                Tongke Wang and   
                      Huan Lian   The series expansions and blow-up time
                                  estimation for the solutions of
                                  convolution Volterra--Hammerstein
                                  integral equations . . . . . . . . . . . 637--663
     Abdeslem Hafid Bentbib and   
             Khalide Jbilou and   
                 Ridwane Tahiri   $N$-mode minimal tensor extrapolation
                                  methods  . . . . . . . . . . . . . . . . 665--691
               Yongtao Zhou and   
                     Cui Li and   
                  Martin Stynes   A fast second-order predictor-corrector
                                  method for a nonlinear time-fractional
                                  Benjamin--Bona--Mahony--Burgers equation 693--720
                 Yang Ai-Li and   
                 Zhu Jun-Li and   
                    Wu Yu-Jiang   Multi-parameter dimensional split
                                  preconditioner for three-by-three block
                                  system of linear equations . . . . . . . 721--745
                  E. Mainar and   
          J. M. Peña and   
                       B. Rubio   High relative accuracy through Newton
                                  bases  . . . . . . . . . . . . . . . . . 747--772
                   Bing Tan and   
               Xiaolong Qin and   
                    Xianfu Wang   Alternated inertial algorithms for split
                                  feasibility problems . . . . . . . . . . 773--812
               Timothy Duff and   
               Anton Leykin and   
          Jose Israel Rodriguez   $u$-generation: solving systems of
                                  polynomials equation-by-equation . . . . 813--838
                   Bo Zhang and   
                 Yuelin Gao and   
                    Xia Liu and   
                   Xiaoli Huang   Interval division and linearization
                                  algorithm for minimax linear fractional
                                  program  . . . . . . . . . . . . . . . . 839--858
                Qiu-Ya Wang and   
                Zi-Hang She and   
              Cheng-Xue Lao and   
                    Fu-Rong Lin   Fractional centered difference schemes
                                  and banded preconditioners for nonlinear
                                  Riesz space variable-order fractional
                                  diffusion equations  . . . . . . . . . . 859--895
                  Xin Zhang and   
               Jingya Chang and   
                   Zhili Ge and   
                     Zhou Sheng   A family of gradient methods using
                                  Householder transformation with
                                  application to hypergraph partitioning   897--927
             Manfred R. Trummer   The Szeg\Ho kernel and oblique
                                  projections: conformal mapping of
                                  non-smooth regions . . . . . . . . . . . 929--942
           Alexandru Mihai Bica   On the maximal order of convergence of
                                  Green's function method for solving
                                  two-point boundary value problems with
                                  deviating argument . . . . . . . . . . . 943--978
                Yuki Uchino and   
              Takeshi Terao and   
                Katsuhisa Ozaki   Acceleration of iterative refinement for
                                  singular value decomposition . . . . . . 979--1009
               Simeon Reich and   
              Truong Minh Tuyen   Two new self-adaptive algorithms for
                                  solving the split feasibility problem in
                                  Hilbert space  . . . . . . . . . . . . . 1011--1032
             Nguyen Van Duc and   
               Thi-Phong Nguyen   A regularization method for Caputo
                                  fractional derivatives in the Banach
                                  space $ L^\infty [0, T] $  . . . . . . . 1033--1053

Numerical Algorithms
Volume 95, Number 3, March, 2024

                      Yong Chen   Compact IMEX scheme for a moving
                                  boundary PIDE system of the
                                  regime-switching jump-diffusion Asian
                                  option pricing . . . . . . . . . . . . . 1055--1077
         Nicola Mastronardi and   
             Marc Van Barel and   
              Raf Vandebril and   
                Paul Van Dooren   Rational $ Q Z $ steps with perfect
                                  shifts . . . . . . . . . . . . . . . . . 1079--1102
           Harmandeep Singh and   
               Janak Raj Sharma   A fractional Traub--Steffensen-type
                                  method for solving nonlinear equations   1103--1126
                Deepti Kaur and   
                  R. K. Mohanty   High-order half-step compact numerical
                                  approximation for fourth-order parabolic
                                  PDEs . . . . . . . . . . . . . . . . . . 1127--1153
              Xiangyun Meng and   
                  Martin Stynes   Balanced and energy norm error bounds
                                  for a spatial FEM with Crank--Nicolson
                                  and BDF2 time discretisation applied to
                                  a singularly perturbed
                                  reaction-diffusion problem . . . . . . . 1155--1176
                   Emil Catinas   The strict superlinear order can be
                                  faster than the infinite order . . . . . 1177--1186
                   Emil Catinas   Correction to: The strict superlinear
                                  order can be faster than the infinite
                                  order  . . . . . . . . . . . . . . . . . 1187--1187
               Junpeng Song and   
                   Hongxing Rui   Reduced-order finite element
                                  approximation based on POD for the
                                  parabolic optimal control problem  . . . 1189--1211
                 Hong Zhang and   
                    Xu Qian and   
                    Songhe Song   Third-order accurate, large
                                  time-stepping and
                                  maximum-principle-preserving schemes for
                                  the Allen--Cahn equation . . . . . . . . 1213--1250
                  Sijia Xia and   
                    Duo Qiu and   
                 Xiongjun Zhang   Tensor factorization via transformed
                                  tensor--tensor product for image
                                  alignment  . . . . . . . . . . . . . . . 1251--1289
             Mofreh R. Zaghloul   Efficient multiple-precision computation
                                  of the scaled complementary error
                                  function and the Dawson integral . . . . 1291--1308
                 Wenxv Ding and   
                Zhihong Liu and   
                    Ying Li and   
                   Anli Wei and   
                  Mingcui Zhang   New structure-preserving algorithms of
                                  Gauss--Seidel and successive
                                  over-relaxation iteration methods for
                                  quaternion linear systems  . . . . . . . 1309--1323
                  Dandan Li and   
               Songhua Wang and   
                    Yong Li and   
                       Jiaqi Wu   A convergence analysis of hybrid
                                  gradient projection algorithm for
                                  constrained nonlinear equations with
                                  applications in compressed sensing . . . 1325--1345
          Miodrag M. Spalevi\'c   Modified anti-Gaussian quadrature
                                  formulae of Chebyshev type . . . . . . . 1347--1357
                 Chen Greif and   
                Sarah Nataj and   
                Manfred Trummer   Incomplete double-cone factorizations of
                                  centrosymmetric matrices arising in
                                  spectral methods . . . . . . . . . . . . 1359--1386
                    Tao Sun and   
                    Hai-Wei Sun   A stiff-cut splitting technique for
                                  stiff semi-linear systems of
                                  differential equations . . . . . . . . . 1387--1412
               Komal Taneja and   
               Komal Deswal and   
             Devendra Kumar and   
                Dumitru Baleanu   Novel Numerical Approach for Time
                                  Fractional Equations with Nonlocal
                                  Condition  . . . . . . . . . . . . . . . 1413--1433
            Teresa Laudadio and   
         Nicola Mastronardi and   
                Paul Van Dooren   On computing modified moments for
                                  half-range Hermite weights . . . . . . . 1435--1457
         Muhammad Abdullahi and   
        Auwal Bala Abubakar and   
              Kanikar Muangchoo   Modified three-term derivative-free
                                  projection method for solving nonlinear
                                  monotone equations with application  . . 1459--1474

Numerical Algorithms
Volume 95, Number 4, April, 2024

                Hongfu Yang and   
                  Jianhua Huang   Strong convergence and extinction of
                                  positivity preserving explicit scheme
                                  for the stochastic SIS epidemic model    1475--1502
         Matthias Grajewski and   
               Andreas Kleefeld   Detecting and approximating decision
                                  boundaries in low-dimensional spaces . . 1503--1537
                  Qiqi Tran and   
                     Jinjie Liu   Modified iterated Crank--Nicolson method
                                  with improved accuracy for advection
                                  equations  . . . . . . . . . . . . . . . 1539--1560
                Sunil Kumar and   
           Shashikant Kumar and   
                          Sumit   A priori and a posteriori error
                                  estimation for singularly perturbed
                                  delay integro-differential equations . . 1561--1582
               Hailiang Liu and   
                    Xuping Tian   SGEM: stochastic gradient with energy
                                  and momentum . . . . . . . . . . . . . . 1583--1610
              Andrzej Cegielski   Strict pseudocontractions and
                                  demicontractions, their properties, and
                                  applications . . . . . . . . . . . . . . 1611--1642
              Shanshan Peng and   
                    Meng Li and   
                Yanmin Zhao and   
                 Fawang Liu and   
                   Fangfang Cao   Unconditionally convergent and
                                  superconvergent finite element method
                                  for nonlinear time-fractional parabolic
                                  equations with distributed delay . . . . 1643--1714
              Sania Qureshi and   
         Ioannis K. Argyros and   
           Amanullah Soomro and   
          Krzysztof Gdawiec and   
            Asif Ali Shaikh and   
                   Evren Hincal   A new optimal root-finding iterative
                                  algorithm: local and semilocal analysis
                                  with polynomiography . . . . . . . . . . 1715--1745
               Gonglin Yuan and   
                 Xiong Zhao and   
                  Kejun Liu and   
                  Xiaoxuan Chen   An adaptive projection BFGS method for
                                  nonconvex unconstrained optimization
                                  problems . . . . . . . . . . . . . . . . 1747--1767
                   Sean Hon and   
                Po Yin Fung and   
                Jiamei Dong and   
        Stefano Serra-Capizzano   A sine transform based preconditioned
                                  MINRES method for all-at-once systems
                                  from constant and variable-coefficient
                                  evolutionary PDEs  . . . . . . . . . . . 1769--1799
      Callum Robert Marples and   
        Philip Michael Williams   Patch area and uniform sampling on the
                                  surface of any ellipsoid . . . . . . . . 1801--1827
                Tongke Wang and   
                  Huan Lian and   
                          Lu Ji   Singularity separation Chebyshev
                                  collocation method for weakly singular
                                  Volterra integral equations of the
                                  second kind  . . . . . . . . . . . . . . 1829--1854
                 Yifei Wang and   
                  Jin Huang and   
                          Hu Li   A Numerical Approach for the System of
                                  Nonlinear Variable-order Fractional
                                  Volterra Integral Equations  . . . . . . 1855--1877
             Alicia Cordero and   
     Renso V. Rojas-Hiciano and   
         Juan R. Torregrosa and   
             Maria P. Vassileva   A highly efficient class of optimal
                                  fourth-order methods for solving
                                  nonlinear systems  . . . . . . . . . . . 1879--1904
    Vladislav N. Kovalnogov and   
          Ruslan V. Fedorov and   
       Tamara V. Karpukhina and   
          Theodore E. Simos and   
          Charalampos Tsitouras   Runge--Kutta pairs of orders 9(8) for
                                  use in quadruple precision computations  1905--1919
                Erfan Solhi and   
            Farshid Mirzaee and   
                Shiva Naserifar   Enhanced moving least squares method for
                                  solving the stochastic fractional
                                  Volterra integro-differential equations
                                  of Hammerstein type  . . . . . . . . . . 1921--1951
                Dongdong Hu and   
               Linghua Kong and   
                 Wenjun Cai and   
                    Yushun Wang   Fully decoupled, linear, and
                                  energy-preserving GSAV difference
                                  schemes for the nonlocal coupled
                                  sine-Gordon equations in multiple
                                  dimensions . . . . . . . . . . . . . . . 1953--1980
                     Rui Li and   
                   Yali Gao and   
                  Zhangxin Chen   Adaptive discontinuous Galerkin finite
                                  element methods for the Allen--Cahn
                                  equation on polygonal meshes . . . . . . 1981--2014