Last update:
Tue Jul 8 07:00:13 MDT 2008
R. H. Nochetto and
A. Schmidt and
C. Verdi A posteriori error estimation and
adaptivity for degenerate parabolic
problems . . . . . . . . . . . . . . . . 1--24
Dietmar Kröner and
Mario Ohlberger A posteriori error estimates for upwind
finite volume schemes for nonlinear
conservation laws in multi dimensions 25--39
Bruno Franchi and
Maria Carla Tesi A finite element approximation for a
class of degenerate elliptic equations 41--63
Einar Haug and
Ragnar Winther A domain embedding preconditioner for
the Lagrange multiplier system . . . . . 65--82
Matthias Wiedmer Finite element approximation for
equations of magnetohydrodynamics . . . 83--101
So-Hsiang Chou and
Qian Li Error estimates in $L^2$, $H^1$ and
$L^\infty$ in covolume methods for
elliptic and parabolic problems: A
unified approach . . . . . . . . . . . . 103--120
Daniele Boffi and
Franco Brezzi and
Lucia Gastaldi On the problem of spurious eigenvalues
in the approximation of linear elliptic
problems in mixed form . . . . . . . . . 121--140
Zhimin Zhang Ultraconvergence of the patch recovery
technique II . . . . . . . . . . . . . . 141--158
Qun Lin and
Ningning Yan Global superconvergence for Maxwell's
equations . . . . . . . . . . . . . . . 159--176
Dongwoo Sheen and
Ian H. Sloan and
Vidar Thomée A parallel method for
time-discretization of parabolic
problems based on contour integral
representation and quadrature . . . . . 177--195
Z. Wiener and
Y. Yomdin From formal numerical solutions of
elliptic PDE's to the true ones . . . . 197--235
G. N. Milstein and
M. V. Tretyakov Numerical algorithms for semilinear
parabolic equations with small parameter
based on approximation of stochastic
equations . . . . . . . . . . . . . . . 237--267
David Hunter and
Geno Nikolov On the error term of symmetric
Gauss--Lobatto quadrature formulae for
analytic functions . . . . . . . . . . . 269--282
Liqun Qi and
Defeng Sun Improving the convergence of
non-interior point algorithms for
nonlinear complementarity problems . . . 283--304
Avram Sidi Extrapolation methods and derivatives of
limits of sequences . . . . . . . . . . 305--323
Svein Mossige The Postage Stamp Problem: An algorithm
to determine the $h$-range on the
$h$-range formula on the extremal basis
problem for $k=4$ . . . . . . . . . . . 325--337
Stefan Johansson On fundamental domains of arithmetic
Fuchsian groups . . . . . . . . . . . . 339--349
R. Lercier and
F. Morain Computing isogenies between elliptic
curves over $F_{p^n}$ using Couveignes's
algorithm . . . . . . . . . . . . . . . 351--370
Stéphane Louboutin Computation of relative class numbers of
CM-fields by using Hecke $L$-functions 371--393
Guillaume Hanrot Solving Thue equations without the full
unit group . . . . . . . . . . . . . . . 395--405
William Butske and
Lynda M. Jaje and
Daniel R. Mayernik On the equation
$\sum_{p|N}\frac1p+\frac1N = 1$,
pseudoperfect numbers, and perfectly
weighted graphs . . . . . . . . . . . . 407--420
Jean-Marc Deshouillers and
François Hennecart and
Bernard Landreau 7373170279850 . . . . . . . . . . . . . 421--439
Marcel G. de Bruin Book review: \em Orthogonal Rational
Functions . . . . . . . . . . . . . . . 441--442
Ivo Babuska and
John E. Osborn Can a finite element method perform
arbitrarily badly? . . . . . . . . . . . 443--462
James H. Bramble and
Joseph E. Pasciak and
Panayot S. Vassilevski Computational scales of Sobolev norms
with application to preconditioning . . 463--480
Sergey I. Repin A posteriori error estimation for
variational problems with uniformly
convex functionals . . . . . . . . . . . 481--500
Vladimir Shaidurov and
Lutz Tobiska The convergence of the cascadic
conjugate-gradient method applied to
elliptic problems in domains with
re-entrant corners . . . . . . . . . . . 501--520
Padmanabhan Seshaiyer and
Manil Suri Uniform $hp$ convergence results for the
mortar finite element method . . . . . . 521--546
J. B. Burie and
M. Marion Adaptive multilevel methods in space and
time for parabolic problems-the periodic
case . . . . . . . . . . . . . . . . . . 547--581
Hailiang Liu Convergence rates to the discrete
travelling wave for relaxation schemes 583--608
C. González and
C. Palencia Stability of Runge--Kutta methods for
quasilinear parabolic problems . . . . . 609--628
Goong Chen and
Yuanhua Deng and
Wei-Ming Ni and
Jianxin Zhou Boundary element monotone iteration
scheme for semilinear elliptic partial
differential equations, Part II:
Quasimonotone iteration for coupled
systems . . . . . . . . . . . . . . . . 629--652
Hyek Yoo Semi-discretization of stochastic
partial differential equations on
$\mathbb{R}^1$ by a finite-difference
method . . . . . . . . . . . . . . . . . 653--666
James H. Bramble and
Joseph E. Pasciak and
Apostol T. Vassilev Uzawa type algorithms for nonsymmetric
saddle point problems . . . . . . . . . 667--689
Gert Vegter The apolar bilinear form in geometric
modeling . . . . . . . . . . . . . . . . 691--720
A. Bultheel and
C. Díaz-Mendoza and
P. González-Vera and
R. Orive On the convergence of certain Gauss-type
quadrature formulas for unbounded
intervals . . . . . . . . . . . . . . . 721--747
Silvia Dassié and
Marco Vianello and
Renato Zanovello A new summation method for power series
with rational coefficients . . . . . . . 749--756
Raymond Couture and
Pierre L'Ecuyer Lattice computations for random numbers 757--765
David C. Terr A modification of Shanks' baby-step
giant-step algorithm . . . . . . . . . . 767--773
Gene Ward Smith Some polynomials over $\mathbb{Q}(t)$
and their Galois groups . . . . . . . . 775--796
Gerard van der Geer and
Marcel van der Vlugt Tables of curves with many points . . . 797--810
Toshihiro Kumada and
Hannes Leeb and
Yoshiharu Kurita and
Makoto Matsumoto New primitive $t$-nomials $(t = 3,5)$
over $GF(2)$ whose degree is a Mersenne
exponent . . . . . . . . . . . . . . . . 811--814
H. G. Grundman Explicit resolutions of cubic cusp
singularities . . . . . . . . . . . . . 815--825
C. J. Smyth Salem numbers of negative trace . . . . 827--838
Alain Togbé On the solutions of a family of quartic
Thue equations . . . . . . . . . . . . . 839--849
István Gaál and
Günter Lettl A parametric family of quintic Thue
equations . . . . . . . . . . . . . . . 851--859
Carter Bays and
Richard H. Hudson Zeroes of Dirichlet $L$-functions and
irregularities in the distribution of
primes . . . . . . . . . . . . . . . . . 861--866
Douglas E. Iannucci The third largest prime divisor of an
odd perfect number exceeds one hundred 867--879
Jinchao Xu and
Aihui Zhou Local and parallel finite element
algorithms based on two-grid
discretizations . . . . . . . . . . . . 881--909
Richard S. Falk and
Tong Tu Locking-free finite elements for the
Reissner--Mindlin plate . . . . . . . . 911--928
Dan-Ping Yang Analysis of least-squares mixed finite
element methods for nonlinear
nonstationary convection-diffusion
problems . . . . . . . . . . . . . . . . 929--963
M. Farhloul and
S. Nicaise and
L. Paquet A mixed formulation of Boussinesq
equations: Analysis of nonsingular
solutions . . . . . . . . . . . . . . . 965--986
Laurent Gosse and
François James Numerical approximations of
one-dimensional linear conservation
equations with discontinuous
coefficients . . . . . . . . . . . . . . 987--1015
Norbert Hofmann and
Thomas Müller-Gronbach and
Klaus Ritter Optimal approximation of stochastic
differential equations by adaptive
step-size control . . . . . . . . . . . 1017--1034
D. Calvetti and
G. H. Golub and
W. B. Gragg and
L. Reichel Computation of Gauss--Kronrod quadrature
rules . . . . . . . . . . . . . . . . . 1035--1052
Ilya M. Spitkovsky and
Darryl Yong Almost periodic factorization of certain
block triangular matrix functions . . . 1053--1070
Jean-Pierre Dedieu and
Mike Shub Multihomogeneous Newton methods . . . . 1071--1098
J. P. Dedieu and
M. Shub Newton's method for overdetermined
systems of equations . . . . . . . . . . 1099--1115
Andreas Griewank and
Jean Utke and
Andrea Walther Evaluating higher derivative tensors by
forward propagation of univariate Taylor
series . . . . . . . . . . . . . . . . . 1117--1130
Divakar Viswanath Random Fibonacci sequences and the
number $1.13198824\dots$ . . . . . . . . 1131--1155
Peter Borwein and
Michael Mossinghoff Rudin--Shapiro-like polynomials in $L_4$ 1157--1166
P. G. Walsh A polynomial-time complexity bound for
the computation of the singular part of
a Puiseux expansion of an algebraic
function . . . . . . . . . . . . . . . . 1167--1182
P. G. Walsh Irreducibility testing over local fields 1183--1191
Emmanuel Halberstadt and
Alain Kraus On the modular curves $Y_E(7)$ . . . . . 1193--1206
T. Fukuda and
K. Komatsu On a unit group generated by special
values of Siegel modular functions . . . 1207--1212
Christian Friesen Class group frequencies of real
quadratic function fields: The degree
$4$ case . . . . . . . . . . . . . . . . 1213--1228
Henri Cohen and
Xavier-François Roblot Computing the Hilbert class field of
real quadratic fields . . . . . . . . . 1229--1244
R. Scheidler and
A. Stein Voronoi's algorithm in purely cubic
congruence function fields of unit rank
$1$ . . . . . . . . . . . . . . . . . . 1245--1266
Oliver Schirokauer Using number fields to compute
logarithms in finite fields . . . . . . 1267--1283
Carter Bays and
Richard H. Hudson A new bound for the smallest $x$ with
$\pi(x) > \mathrm{li}(x)$ . . . . . . . . 1285--1296
R. P. Brent and
R. E. Crandall and
K. Dilcher and
C. Van Halewyn Three new factors of Fermat numbers . . 1297--1304
William Layton Book review: \em Handbook of numerical
analysis, Vol. VI, Numerical methods for
solids (Part 3), Numerical methods for
fluids (Part 1) . . . . . . . . . . . . 1305--1306
Chi-Wang Shu Book review: \em Dynamic Multilevel
Methods and the Numerical Simulation of
Turbulence . . . . . . . . . . . . . . . 1307--1307
Valeria Simoncini Book review: \em Numerical linear
algebra for high-performance computers 1307--1309
G. W. Stewart Book review: \em ARPACK Users' Guide,
Solution of Large-Scale Eigenvalue
Problems with Implicitly Restarted
Arnoldi Methods . . . . . . . . . . . . 1309--1311
Walter Gautschi Book review: \em Computational
Integration . . . . . . . . . . . . . . 1311--1312
Arjeh M. Cohen Book review: \em Computational methods
in commutative algebra and algebraic
geometry . . . . . . . . . . . . . . . . 1312--1314
Gary Walsh Book review: \em The Mathematics of
Ciphers, Number Theory and RSA
Cryptography . . . . . . . . . . . . . . 1314--1315
Susanne C. Brenner and
Li-Yeng Sung Lower bounds for nonoverlapping domain
decomposition preconditioners in two
dimensions . . . . . . . . . . . . . . . 1319--1339
Lori Badea and
Junping Wang An additive Schwarz method for
variational inequalities . . . . . . . . 1341--1354
M. Lukácová-Medvid'ová and
K. W. Morton and
G. Warnecke Evolution Galerkin methods for
hyperbolic systems in two space
dimensions . . . . . . . . . . . . . . . 1355--1384
Cheng Wang and
Jian-Guo Liu Convergence of gauge method for
incompressible flow . . . . . . . . . . 1385--1407
Christopher Beattie Galerkin eigenvector approximations . . 1409--1434
E. B. Davies A hierarchical method for obtaining
eigenvalue enclosures . . . . . . . . . 1435--1455
Elena Celledoni and
Arieh Iserles Approximating the exponential from a Lie
algebra to a Lie group . . . . . . . . . 1457--1480
Shoufu Li Stability and $B$-convergence properties
of multistep Runge--Kutta methods . . . 1481--1504
Michael S. Floater and
J. M. Peña Monotonicity preservation on triangles 1505--1519
Jieqing Tan and
Shuo Tang Bivariate composite vector valued
rational interpolation . . . . . . . . . 1521--1532
Stefano Serra Capizzano Korovkin tests, approximation, and
ergodic theory . . . . . . . . . . . . . 1533--1558
Charles H. Tong and
Qiang Ye Analysis of the finite precision
bi-conjugate gradient algorithm for
nonsymmetric linear systems . . . . . . 1559--1575
J. I. Aliaga and
D. L. Boley and
R. W. Freund and
V. Hernández A Lanczos-type method for multiple
starting vectors . . . . . . . . . . . . 1577--1601
Jin Qi-nian On the iteratively regularized
Gauss--Newton method for solving
nonlinear ill-posed problems . . . . . . 1603--1623
Jean-Marc Couveignes Isomorphisms between Artin--Schreier
towers . . . . . . . . . . . . . . . . . 1625--1631
Alexander Hulpke Conjugacy classes in finite permutation
groups via homomorphic images . . . . . 1633--1651
F. Thaine Families of irreducible polynomials of
Gaussian periods and matrices of
cyclotomic numbers . . . . . . . . . . . 1653--1666
Jerzy Browkin Computing the tame kernel of quadratic
imaginary fields . . . . . . . . . . . . 1667--1683
Paul van Wamelen Poonen's question concerning isogenies
between Smart's genus $2$ curves . . . . 1685--1697
Robert Gallant and
Robert Lambert and
Scott Vanstone Improving the parallelized Pollard
lambda search on anomalous binary curves 1699--1705
Niklas Broberg Some examples related to the
$abc$-conjecture for algebraic number
fields . . . . . . . . . . . . . . . . . 1707--1710
Everett W. Howe Higher-order Carmichael numbers . . . . 1711--1719
Andreas Stein and
H. C. Williams Explicit primality criteria for
$(p-1)p^n-1$ . . . . . . . . . . . . . . 1721--1734
Kenji Koyama On searching for solutions of the
Diophantine equation $x^3 + y^3 +2z^3 =
n$ . . . . . . . . . . . . . . . . . . . 1735--1742
Panos M. Pardalos Book review: \em Iterative methods for
optimization . . . . . . . . . . . . . . 1743--1743
T. Tiihonen Shape calculus and finite element method
in smooth domains . . . . . . . . . . . 1--15
Jinchao Xu and
Aihui Zhou A two-grid discretization scheme for
eigenvalue problems . . . . . . . . . . 17--25
Albert Cohen and
Wolfgang Dahmen and
Ronald DeVore Adaptive wavelet methods for elliptic
operator equations: Convergence rates 27--75
Paul Houston and
Endre Süli Adaptive Lagrange--Galerkin methods for
unsteady convection-diffusion problems 77--106
Sergey Korotov and
Michal Krízek and
Pekka Neittaanmäki Weakened acute type condition for
tetrahedral triangulations and the
discrete maximum principle . . . . . . . 107--119
A. M. Davie and
J. G. Gaines Convergence of numerical schemes for the
solution of parabolic stochastic partial
differential equations . . . . . . . . . 121--134
Arturo Kohatsu-Higa Weak approximations. A Malliavin
calculus approach . . . . . . . . . . . 135--172
A. L. Dontchev and
William W. Hager The Euler approximation in state
constrained optimal control . . . . . . 173--203
Aeyoung Park Jang and
Seymour Haber Numerical indefinite integration of
functions with singularities . . . . . . 205--221
S. A. Sauter and
C. Lage Transformation of hypersingular
integrals and black-box cubature . . . . 223--250
G. Mastroianni and
G. Monegato Error estimates in the numerical
evaluation of some BEM singular
integrals . . . . . . . . . . . . . . . 251--267
Sangwoo Heo and
Yuan Xu Constructing fully symmetric cubature
formulae for the sphere . . . . . . . . 269--279
J. C. Santos-León Error bounds for interpolatory
quadrature rules on the unit circle . . 281--296
A. Papageorgiou Fast convergence of quasi-Monte Carlo
for a class of isotropic integrals . . . 297--306
M. D. Buhmann A new class of radial basis functions
with compact support . . . . . . . . . . 307--318
Jean-Pierre Dedieu and
Mike Shub On simple double zeros and badly
conditioned zeros of analytic functions
of $n$ variables . . . . . . . . . . . . 319--327
Jérôme Dégot A condition number theorem for
underdetermined polynomial systems . . . 329--335
Jia-Juan Liang and
Kai-Tai Fang and
Fred J. Hickernell and
Runze Li Testing multivariate uniformity and its
applications . . . . . . . . . . . . . . 337--355
Peter Gaal and
Solomon W. Golomb Exhaustive determination of
(1023,~511,~255)-cyclic difference sets 357--366
Emmanuel Peyre and
Yuri Tschinkel Tamagawa numbers of diagonal cubic
surfaces, numerical evidence . . . . . . 367--387
Daniel J. Bernstein Enumerating solutions to
$p(a)+q(b)=r(c)+s(d)$ . . . . . . . . . 389--394
Christian Batut Classification of quintic eutactic forms 395--417
Christophe Doche On the spectrum of the Zhang--Zagier
height . . . . . . . . . . . . . . . . . 419--430
Hedi Daboussi and
Joël Rivat Explicit upper bounds for exponential
sums over primes . . . . . . . . . . . . 431--447
Stanley Osher Book review: \em Level set methods and
fast marching methods: evolving
interfaces in computational geometry,
fluid mechanics, computer vision, and
materials science . . . . . . . . . . . 449--451
James H. Bramble and
Xuejun Zhang Uniform convergence of the multigrid
V-cycle for an anisotropic problem . . . 453--470
Pat Ryan Eigenvalue and eigenfunction error
estimates for finite element
formulations of linear hydroelasticity 471--487
Trygve K. Nilssen and
Xue-Cheng Tai and
Ragnar Winther A robust nonconforming $H^2$-element . . 489--505
P. Monk and
L. Demkowicz Discrete compactness and the
approximation of Maxwell's equations in
$\mathbb{R}^3$ . . . . . . . . . . . . . 507--523
Javier de Frutos and
Rafael Muñoz-Sola On error estimates for Galerkin spectral
discretizations of parabolic problems
with nonsmooth initial data . . . . . . 525--531
Theodoros Katsaounis and
Charalambos Makridakis Finite volume relaxation schemes for
multidimensional conservation laws . . . 533--553
Laurent Gosse and
Athanasios E. Tzavaras Convergence of relaxation schemes to the
equations of elastodynamics . . . . . . 555--577
Jian-Guo Liu and
Weinan E Simple finite element method in
vorticity formulation for incompressible
flows . . . . . . . . . . . . . . . . . 579--593
Jian-Guo Liu and
Zhouping Xin Convergence of the point vortex method
for $2$-D vortex sheet . . . . . . . . . 595--606
Pascal Laubin Optimal order collocation for the mixed
boundary value problem on polygons . . . 607--636
Zhongxiao Jia and
G. W. Stewart An analysis of the Rayleigh--Ritz method
for approximating eigenspaces . . . . . 637--647
A. Melman Extreme eigenvalues of real symmetric
Toeplitz matrices . . . . . . . . . . . 649--669
Borislav D. Bojanov and
Dimitar K. Dimitrov Gaussian extended cubature formulae for
polyharmonic functions . . . . . . . . . 671--683
G. W. Wasilkowski and
H. Wozniakowski On the complexity of stochastic
integration . . . . . . . . . . . . . . 685--698
Tim Gutzmer and
Jens Markus Melenk Approximation orders for natural splines
in arbitrary dimensions . . . . . . . . 699--703
Marek Beska and
Karol Dziedziul Saturation theorems for interpolation
and the Bernstein--Schnabl operator . . 705--717
Michael J. Johnson The $L_{2}$-approximation order of
surface spline interpolation . . . . . . 719--737
Karsten Urban Wavelet bases in
$\mathbf{H}(\mathrm{div})$ and
$\mathbf{H}(\mathbf{curl})$ . . . . . . 739--766
Tiejun Li and
Fengshan Bai Minimizing multi-homogeneous Bézout
numbers by a local search method . . . . 767--787
R. Shail A class of infinite sums and integrals 789--799
Igor E. Shparlinski On the uniformity of distribution of the
RSA pairs . . . . . . . . . . . . . . . 801--808
Edlyn Teske On random walks for Pollard's rho method 809--825
Antoine Joux and
Reynald Lercier ``Chinese & Match'', an alternative to
Atkin's ``Match and Sort'' method used
in the SEA algorithm . . . . . . . . . . 827--836
Schehrazad Selmane Quadratic extensions of totally real
quintic fields . . . . . . . . . . . . . 837--843
Schehrazad Selmane Tenth degree number fields with quintic
fields having one real place . . . . . . 845--851
C. Charnes and
U. Dempwolff The eight dimensional ovoids over GF(5) 853--861
Zhenxiang Zhang Finding strong pseudoprimes to several
bases . . . . . . . . . . . . . . . . . 863--872
Jon Grantham Frobenius pseudoprimes . . . . . . . . . 873--891
Florian Luca On a conjecture of Erd\Hos and Stewart 893--896
W. Hoffmann and
A. H. Schatz and
L. B. Wahlbin and
G. Wittum Asymptotically exact a posteriori
estimators for the pointwise gradient
error on each element in irregular
meshes. Part 1: A smooth problem and
globally quasi-uniform meshes . . . . . 897--909
Franco Brezzi and
Donatella Marini Error estimates for the three-field
formulation with bubble stabilization 911--934
Andrea Toselli and
Olof B. Widlund and
Barbara I. Wohlmuth An iterative substructuring method for
Maxwell's equations in two dimensions 935--949
Thomas Y. Hou and
Pingwen Zhang A new stabilizing technique for boundary
integral methods for water waves . . . . 951--976
J. Thomas Beale A convergent boundary integral method
for three-dimensional water waves . . . 977--1029
M. Ganesh and
O. Steinbach Boundary element methods for potential
problems with nonlinear boundary
conditions . . . . . . . . . . . . . . . 1031--1042
Haitao Fan Existence of discrete shock profiles of
a class of monotonicity preserving
schemes for conservation laws . . . . . 1043--1069
Leon Q. Brin Numerical testing of the stability of
viscous shock waves . . . . . . . . . . 1071--1088
B. Jüttler Hermite interpolation by Pythagorean
hodograph curves of degree seven . . . . 1089--1111
H. N. Mhaskar and
F. J. Narcowich and
J. D. Ward Spherical Marcinkiewicz--Zygmund
inequalities and positive quadrature . . 1113--1130
Alexander G. Ramm and
Alexandra B. Smirnova On stable numerical differentiation . . 1131--1153
Y. H. Dai and
Y. Yuan A three-parameter family of nonlinear
conjugate gradient methods . . . . . . . 1155--1167
Dario Bini and
Gianna M. Del Corso and
Giovanni Manzini and
Luciano Margara Inversion of circulant matrices over
$\mathbf{Z}_m$ . . . . . . . . . . . . . 1169--1182
Amparo Gil and
Javier Segura and
Nico M. Temme On nonoscillating integrals for
computing inhomogeneous Airy functions 1183--1194
Yoshinori Miyazaki and
Yasushi Kikuchi and
DongSheng Cai and
Yasuhiko Ikebe Error analysis for the computation of
zeros of regular Coulomb wave function
and its first derivative . . . . . . . . 1195--1204
Javier Segura Bounds on differences of adjacent zeros
of Bessel functions and iterative
relations between consecutive zeros . . 1205--1220
G. C. Kokkorakis and
J. A. Roumeliotis Power series expansions for Mathieu
functions with small arguments . . . . . 1221--1235
Greg Stein Using the theory of cyclotomy to factor
cyclotomic polynomials over finite
fields . . . . . . . . . . . . . . . . . 1237--1251
Theodoulos Garefalakis and
Daniel Panario The index calculus method using
non-smooth polynomials . . . . . . . . . 1253--1264
Brian D. Boe Geometry of the Jantzen region in
Lusztig's conjecture . . . . . . . . . . 1265--1280
Jerzy Browkin Continued fractions in local fields, II 1281--1292
Claus Fieker Computing class fields via the Artin map 1293--1303
Sam Northshield On iterates of Möbius transformations on
fields . . . . . . . . . . . . . . . . . 1305--1310
A. J. van der Poorten and
H. J. J. te Riele and
H. C. Williams Computer verification of the
Ankeny--Artin--Chowla Conjecture for all
primes less than $100000000000$ . . . . 1311--1328
Stefan Battiato and
Walter Borho Breeding amicable numbers in abundance.
II . . . . . . . . . . . . . . . . . . . 1329--1333
Mark Ainsworth Book review: \em $p$- and $hp$-finite
element methods. Theory and applications
in solid and fluid mechanics . . . . . . 1335--1337
Chi-Wang Shu Book review: \em Spectral methods in
Matlab . . . . . . . . . . . . . . . . . 1337--1338
Raytcho Lazarov Book review: \em Generalized difference
methods for differential equations.
Numerical analysis of finite volume
methods . . . . . . . . . . . . . . . . 1338--1340
Rozwitha März Book review: \em Computer methods for
ordinary differential equations and
differential-algebraic equations . . . . 1340--1342
Ernst Hairer Book review: \em Geometric integration:
numerical solution of differential
equations . . . . . . . . . . . . . . . 1342--1344
Rozwitha März Book review: \em Dynamical systems and
numerical analysis . . . . . . . . . . . 1344--1346
Brian Suchomel Book review: \em Computer solution of
large linear systems . . . . . . . . . . 1346--1348
Harald Niederreiter Book review: \em Character sums with
exponential functions and their
applications . . . . . . . . . . . . . . 1348--1348
P. G. Walsh Book review: \em The algorithmic
resolution of Diophantine equations . . 1349--1352
Carsten Carstensen and
Stefan A. Funken A posteriori error control in low-order
finite element discretisations of
incompressible stationary flow problems 1353--1381
Elsa Liberman A posteriori error estimator for a mixed
finite element method for
Reissner--Mindlin plate . . . . . . . . 1383--1396
Claudio Canuto and
Roland Masson Stabilized wavelet approximations of the
Stokes problem . . . . . . . . . . . . . 1397--1416
L. Halpern A spectral method for the Stokes problem
in three-dimensional unbounded domains 1417--1436
Houde Han and
Weizhu Bao Error estimates for the finite element
approximation of linear elastic
equations in an unbounded domain . . . . 1437--1459
Gabriel N. Gatica and
Salim Meddahi A dual-dual mixed formulation for
nonlinear exterior transmission problems 1461--1480
Stéphane Descombes Convergence of a splitting method of
high order for reaction-diffusion
systems . . . . . . . . . . . . . . . . 1481--1501
J.-P. Kauthen The numerical solution of
integral-algebraic equations of index
$1$ by polynomial spline collocation
methods . . . . . . . . . . . . . . . . 1503--1514
H. Faßbender The parameterized $SR$ algorithm for
symplectic (butterfly) matrices . . . . 1515--1541
L. Bos and
M. A. Taylor and
B. A. Wingate Tensor product Gauss--Lobatto points are
Fekete points for the cube . . . . . . . 1543--1547
Ronald Cools and
James N. Lyness Three- and four-dimensional $K$-optimal
lattice rules of moderate trigonometric
degree . . . . . . . . . . . . . . . . . 1549--1567
Harald Niederreiter and
Igor E. Shparlinski On the distribution of inversive
congruential pseudorandom numbers in
parts of the period . . . . . . . . . . 1569--1574
John B. Friedlander and
Igor E. Shparlinski On the distribution of the power
generator . . . . . . . . . . . . . . . 1575--1589
John B. Friedlander and
Carl Pomerance and
Igor E. Shparlinski Period of the power generator and small
values of Carmichael's function . . . . 1591--1605
Sami Omar Localization of the first zero of the
Dedekind zeta function . . . . . . . . . 1607--1616
F. Thaine Jacobi sums and new families of
irreducible polynomials of Gaussian
periods . . . . . . . . . . . . . . . . 1617--1640
Sebastian Pauli and
Xavier-François Roblot On the computation of all extensions of
a $p$-adic field of a given degree . . . 1641--1659
Samir Siksek Sieving for rational points on
hyperelliptic curves . . . . . . . . . . 1661--1674
E. Victor Flynn and
Franck Leprévost and
Edward F. Schaefer and
William A. Stein and
Michael Stoll and
Joseph L. Wetherell Empirical evidence for the Birch and
Swinnerton-Dyer conjectures for modular
Jacobians of genus $2$ curves . . . . . 1675--1697
David P. Roberts Density of cubic field discriminants . . 1699--1705
Takashi Fukuda and
Keiichi Komatsu On Iwasawa $\lambda_3$-invariants of
cyclic cubic fields of prime conductor 1707--1712
David A. Clark and
Norman C. Jarvis Dense admissible sequences . . . . . . . 1713--1718
David H. Bailey and
David J. Broadhurst Parallel integer relation detection:
Techniques and applications . . . . . . 1719--1736
Pamela A. Cutter Finding prime pairs with particular gaps 1737--1744
Jörg Richstein Verifying the Goldbach conjecture up to
$4\cdot 10^{14}$ . . . . . . . . . . . . 1745--1749
Martin Arnold Book review: \em Nonholonomic motion of
rigid mechanical systems from a DAE
viewpoint . . . . . . . . . . . . . . . 1751--1753
Ya-xiang Yuan Book review: \em Trust-region methods 1753--1754
L Elsner Book review: \em Fast reliable
algorithms for matrices with structure 1754--1755
Preda Mihailescu and
F. Pappalardi Book review: \em Elliptic curves in
cryptography . . . . . . . . . . . . . . 1755--1759
Patrice Coorevits and
Patrick Hild and
Khalid Lhalouani and
Taoufik Sassi Mixed finite element methods for
unilateral problems: convergence
analysis and numerical studies . . . . . 1--25
Weinan E and
Jian-Guo Liu Projection method III: Spatial
discretization on the staggered grid . . 27--47
Samuel Albert and
Bernardo Cockburn and
Donald A. French and
Todd E. Peterson A posteriori error estimates for general
numerical methods for Hamilton--Jacobi
equations. Part I: The steady state case 49--76
Jerry Markman and
I. Norman Katz Convergence of an iterative algorithm
for solving Hamilton--Jacobi type
equations . . . . . . . . . . . . . . . 77--103
Xue-Cheng Tai and
Jinchao Xu Global and uniform convergence of
subspace correction methods for some
convex optimization problems . . . . . . 105--124
C. González and
A. Ostermann and
C. Palencia and
M. Thalhammer Backward Euler discretization of fully
nonlinear parabolic problems . . . . . . 125--145
James H. Bramble and
Joseph E. Pasciak and
Olaf Steinbach On the stability of the $L^2$ projection
in $H^1(\Omega)$ . . . . . . . . . . . . 147--156
Carsten Carstensen Merging the Bramble--Pasciak--Steinbach
and the Crouzeix--Thomée criterion for
$H^1$-stability of the $L^2$-projection
onto finite element spaces . . . . . . . 157--163
Bin Han and
Rong-Qing Jia Quincunx fundamental refinable functions
and quincunx biorthogonal wavelets . . . 165--196
Klaus Neymeyr A geometric theory for preconditioned
inverse iteration applied to a subspace 197--216
Attahiru Sule Alfa and
Jungong Xue and
Qiang Ye Accurate computation of the smallest
eigenvalue of a diagonally dominant
$M$-matrix . . . . . . . . . . . . . . . 217--236
Natasa Krejic and
Zorana Luzanin Newton-like method with modification of
the right-hand-side vector . . . . . . . 237--250
Yuri Levin and
Adi Ben-Israel Directional Newton methods in $n$
variables . . . . . . . . . . . . . . . 251--262
I. H. Sloan and
A. V. Reztsov Component-by-component construction of
good lattice rules . . . . . . . . . . . 263--273
Kai-Tai Fang and
Chang-Xing Ma and
Peter Winker Centered $L_2$-discrepancy of random
sampling and Latin hypercube design, and
construction of uniform designs . . . . 275--296
Hannes Leeb Asymptotic properties of the spectral
test, diaphony, and related quantities 297--309
Norman Gray Automatic reduction of elliptic
integrals using Carlson's relations . . 311--318
Louis-Sébastien Guimond and
Jirí Patera Proving the deterministic period
breaking of linear congruential
generators using two tile quasicrystals 319--332
Maria Isabel González Vasco and
Igor E. Shparlinski Security of the most significant bits of
the Shamir message passing scheme . . . 333--342
Timothy Kohl and
Daniel R. Replogle Computation of several cyclotomic Swan
subgroups . . . . . . . . . . . . . . . 343--348
W. R. Oudshoorn and
M. van der Put Lie symmetries and differential Galois
groups of linear equations . . . . . . . 349--361
Igor A. Semaev Special prime numbers and discrete logs
in finite prime fields . . . . . . . . . 363--377
D. R. Stinson Some baby-step giant-step algorithms for
the low Hamming weight discrete
logarithm problem . . . . . . . . . . . 379--391
S. D. Galbraith and
S. M. Paulus and
N. P. Smart Arithmetic on superelliptic curves . . . 393--405
John Abbott Sparse squares of polynomials . . . . . 407--413
Anastasios Simalarides Upper bounds for the prime divisors of
Wendt's determinant . . . . . . . . . . 415--427
István Gaál and
Michael Pohst On the resolution of relative Thue
equations . . . . . . . . . . . . . . . 429--440
Chris K. Caldwell and
Yves Gallot On the primality of $n! \pm 1$ and $2
\times 3 \times 5 \times \dotsm \times p
\pm 1$ . . . . . . . . . . . . . . . . . 441--448
Tony Forbes Fifteen consecutive integers with
exactly four prime factors . . . . . . . 449--452
H. N. Mhaskar and
F. J. Narcowich and
J. D. Ward Corrigendum to ``Spherical
Marcinkiewicz--Zygmund inequalities and
positive quadrature'' . . . . . . . . . 453--454
Paul Castillo and
Bernardo Cockburn and
Dominik Schötzau and
Christoph Schwab Optimal a priori error estimates for the
$hp$-version of the local discontinuous
Galerkin method for
convection--diffusion problems . . . . . 455--478
Walter Zulehner Analysis of iterative methods for saddle
point problems: a unified approach . . . 479--505
Susanne C. Brenner Convergence of the multigrid $V$-cycle
algorithm for second-order boundary
value problems without full elliptic
regularity . . . . . . . . . . . . . . . 507--525
Gerard R. Richter On the stability of a family of finite
element methods for hyperbolic problems 527--535
Alfredo Bermúdez and
Rodolfo Rodríguez Analysis of a finite element method for
pressure/potential formulation of
elastoacoustic spectral problems . . . . 537--552
Laurent Gosse Localization effects and measure source
terms in numerical schemes for balance
laws . . . . . . . . . . . . . . . . . . 553--582
Nicolas Fournier and
Sylvie Méléard A stochastic particle numerical method
for $3$D Boltzmann equations without
cutoff . . . . . . . . . . . . . . . . . 583--604
Roswitha März and
Antonio R. Rodríguez-Santiesteban Analyzing the stability behaviour of
solutions and their approximations in
case of index-$2$ differential-algebraic
systems . . . . . . . . . . . . . . . . 605--632
G. Everest and
I. Gaál and
K. Györy and
C. Röttger On the spatial distribution of solutions
of decomposable form equations . . . . . 633--648
George Boros and
Victor H. Moll Landen transformations and the
integration of rational functions . . . 649--668
Robert Schaback and
Holger Wendland Inverse and saturation theorems for
radial basis function interpolation . . 669--681
Leyla Daruis and
Pablo González-Vera and
Olav Njåstad Szegö quadrature formulas for certain
Jacobi-type weight functions . . . . . . 683--701
Reiji Suda and
Masayasu Takami A fast spherical harmonics transform
algorithm . . . . . . . . . . . . . . . 703--715
David M. Hough Asymptotic estimation of Gaussian
quadrature error for a nonsingular
integral in potential theory . . . . . . 717--727
Andreas Enge Computing discrete logarithms in
high-genus hyperelliptic Jacobians in
provably subexponential time . . . . . . 729--742
Peter Dräxler and
Klara Kögerler An algorithm for finding all
preprojective components of the
Auslander--Reiten quiver . . . . . . . . 743--759
Manfred Göbel Finite SAGBI bases for polynomial
invariants of conjugates of alternating
groups . . . . . . . . . . . . . . . . . 761--765
Peter Borwein and
Kevin G. Hare Some computations on the spectra of
Pisot and Salem numbers . . . . . . . . 767--780
Frank Emmerich Average equidistribution and statistical
independence properties of digital
inversive pseudorandom numbers over
parts of the period . . . . . . . . . . 781--791
Andreas Stein and
Edlyn Teske The parallelized Pollard kangaroo method
in real quadratic function fields . . . 793--814
Diane Meuser and
Margaret Robinson The Igusa local zeta functions of
elliptic curves . . . . . . . . . . . . 815--823
Harvey Dubner and
Yves Gallot Distribution of generalized Fermat prime
numbers . . . . . . . . . . . . . . . . 825--832
Harvey Dubner Repunit R49081 is a probable prime . . . 833--835
Andreas Stein and
Edlyn Teske Explicit bounds and heuristics on class
numbers in hyperelliptic function fields 837--861
Joshua Holden Comparison of algorithms to calculate
quadratic irregularity of prime numbers 863--871
Myra B. Cohen and
Charles J. Colbourn and
Lee A. Ives and
Alan C. H. Ling Kirkman triple systems of order $21$
with nontrivial automorphism group . . . 873--881
Andrew Granville and
Carl Pomerance Two contradictory conjectures concerning
Carmichael numbers . . . . . . . . . . . 883--908
Douglas N. Arnold and
Daniele Boffi and
Richard S. Falk Approximation by quadrilateral finite
elements . . . . . . . . . . . . . . . . 909--922
Ville Havu and
Juhani Pitkäranta Analysis of a bilinear finite element
for shallow shells I: Approximation of
inextensional deformations . . . . . . . 923--943
Carsten Carstensen and
Sören Bartels Each averaging technique yields reliable
a posteriori error control in FEM on
unstructured grids. Part I: Low order
conforming, nonconforming, and mixed FEM 945--969
Sören Bartels and
Carsten Carstensen Each averaging technique yields reliable
a posteriori error control in FEM on
unstructured grids. Part II: Higher
order FEM . . . . . . . . . . . . . . . 971--994
Vladimir Druskin and
Shari Moskow Three-point finite-difference schemes,
Padé and the spectral Galerkin method. I.
One-sided impedance approximation . . . 995--1019
Heinrich Freistühler and
Christian Rohde Numerical computation of viscous
profiles for hyperbolic conservation
laws . . . . . . . . . . . . . . . . . . 1021--1042
V. Girault and
L. R. Scott Hermite interpolation of nonsmooth
functions preserving boundary conditions 1043--1074
Donald J. Estep and
Andrew M. Stuart The dynamical behavior of the
discontinuous Galerkin method and
related difference schemes . . . . . . . 1075--1103
Xue-Cheng Tai and
Paul Tseng Convergence rate analysis of an
asynchronous space decomposition method
for convex minimization . . . . . . . . 1105--1135
Pierre Dusart Estimates of $\theta(x;k,l)$ for large
values of $x$ . . . . . . . . . . . . . 1137--1168
M. C. De Bonis and
B. Della Vecchia and
G. Mastroianni Approximation of the Hilbert Transform
on the real line using Hermite zeros . . 1169--1188
Beatrice Meini Efficient computation of the extreme
solutions of $X+A^*X^{-1}A=Q$ and
$X-A^*X^{-1}A=Q$ . . . . . . . . . . . . 1189--1204
David W. Boyd On a problem of Byrnes concerning
polynomials with restricted
coefficients, II . . . . . . . . . . . . 1205--1217
Andreas Enge and
Andreas Stein Smooth ideals in hyperelliptic function
fields . . . . . . . . . . . . . . . . . 1219--1230
Karl Entacher and
Thomas Schell and
Andreas Uhl Efficient lattice assessment for LCG and
GLP parameter searches . . . . . . . . . 1231--1242
Hyun Kwang Kim and
Jung Soo Kim Evaluation of zeta function of the
simplest cubic field at negative odd
integers . . . . . . . . . . . . . . . . 1243--1262
D. W. Farmer and
K. James The irreducibility of some level $1$
Hecke polynomials . . . . . . . . . . . 1263--1270
Jesse Ira Deutsch A computational approach to Hilbert
modular group fixed points . . . . . . . 1271--1280
Keith Matthews Thue's theorem and the diophantine
equation $x^2-Dy^2=\pm N$ . . . . . . . 1281--1286
Denis Simon Solving norm equations in relative
number fields using $S$-units . . . . . 1287--1305
A. Paszkiewicz and
A. Schinzel On the least prime primitive root modulo
a prime . . . . . . . . . . . . . . . . 1307--1321
H. Dubner and
T. Forbes and
N. Lygeros and
M. Mizony and
H. Nelson and
P. Zimmermann Ten consecutive primes in arithmetic
progression . . . . . . . . . . . . . . 1323--1328
Toshihiro Kumada and
Hannes Leeb and
Yoshiharu Kurita and
Makoto Matsumoto Corrigenda to ``New primitive
$t$-nomials $(t=3,5)$ over $GF(2)$ whose
degree is a Mersenne exponent,'' and
some new primitive pentanomials . . . . 1337--1338
Chi-Wang Shu Book review: \em Time-dependent partial
differential equations and their
numerical solution . . . . . . . . . . . 1329--1329
Lars B. Wahlbin Book review: \em Foundations of
computational mathematics . . . . . . . 1329--1330
Lars Eldén Book review: \em Templates for the
solution of algebraic eigenvalue
problems, a practical guide . . . . . . 1330--1331
Luminita Vese Book review: \em Geometric partial
differential equations and image
analysis . . . . . . . . . . . . . . . . 1331--1332
Arjeh M. Cohen Book review: \em Fundamental problems of
algorithmic algebra . . . . . . . . . . 1333--1333
Harald Niederreiter Book review: \em Cryptography and
computational number theory . . . . . . 1334--1334
Ivo Babuska and
Jan Chleboun Effects of uncertainties in the domain
on the solution of Neumann boundary
value problems in two spatial dimensions 1339--1370
Christine Bernardi and
Frédéric Hecht Error indicators for the mortar finite
element discretization of the Laplace
equation . . . . . . . . . . . . . . . . 1371--1403
Ricardo H. Nochetto and
Lars B. Wahlbin Positivity preserving finite element
approximation . . . . . . . . . . . . . 1405--1419
Zhimin Zhang Derivative superconvergent points in
finite element solutions of harmonic
functions --- A theoretical
justification . . . . . . . . . . . . . 1421--1430
Ulisse Stefanelli Analysis of a variable time-step
discretization of the three-dimensional
Frémond model for shape memory alloys . . 1431--1453
Gabriel N. Gatica and
Norbert Heuer Conjugate gradient method for dual-dual
mixed formulations . . . . . . . . . . . 1455--1472
Tai-Lin Wang and
William B. Gragg Convergence of the shifted $QR$
algorithm for unitary Hessenberg
matrices . . . . . . . . . . . . . . . . 1473--1496
Johnson C. M. Fok and
Benyu Guo and
Tao Tang Combined Hermite spectral-finite
difference method for the Fokker--Planck
equation . . . . . . . . . . . . . . . . 1497--1528
M. P. Calvo and
C. Palencia Avoiding the order reduction of
Runge--Kutta methods for linear initial
boundary value problems . . . . . . . . 1529--1543
Nikolai Bakaev and
Alexander Ostermann Long-term stability of variable stepsize
approximations of semigroups . . . . . . 1545--1567
Avram Sidi New convergence results on the
generalized Richardson extrapolation
process GREP$^{(1)}$ for logarithmic
sequences . . . . . . . . . . . . . . . 1569--1596
Winfried Kohnen and
Michael Kuß Some numerical computations concerning
spinor zeta functions in genus
$\boldsymbol{2}$ at the central point 1597--1607
I. H. Sloan and
F. Y. Kuo and
S. Joe On the step-by-step construction of
quasi--Monte Carlo integration rules
that achieve strong tractability error
bounds in weighted Sobolev spaces . . . 1609--1640
Fred J. Hickernell and
Xiaoqun Wang The error bounds and tractability of
quasi-Monte Carlo algorithms in infinite
dimension . . . . . . . . . . . . . . . 1641--1661
Shuhong Gao and
Alan G. B. Lauder Hensel lifting and bivariate polynomial
factorisation over finite fields . . . . 1663--1676
Joachim von zur Gathen and
Jürgen Gerhard Polynomial factorization over $\mathbb
{F}_2$ . . . . . . . . . . . . . . . . . 1677--1698
Zhenxiang Zhang A one-parameter quadratic-base version
of the Baillie--PSW probable prime test 1699--1734
Stéphane Louboutin Computation of class numbers of
quadratic number fields . . . . . . . . 1735--1743
Ana-Cecilia de la Maza Bounds for the smallest norm in an ideal
class . . . . . . . . . . . . . . . . . 1745--1758
A. Campillo and
J. I. Farrán Symbolic Hamburger--Noether expressions
of plane curves and applications to AG
codes . . . . . . . . . . . . . . . . . 1759--1780
A. Paszkiewicz and
A. Schinzel Numerical calculation of the density of
prime numbers with a given least
primitive root . . . . . . . . . . . . .