%%% -*-BibTeX-*-
%%% ====================================================================
%%% BibTeX-file{
%%% author = "Nelson H. F. Beebe",
%%% version = "1.12",
%%% date = "12 April 2006",
%%% time = "08:16:53 MST",
%%% filename = "siamjscistatcomp.bib",
%%% address = "University of Utah
%%% Department of Mathematics, 110 LCB
%%% 155 S 1400 E RM 233
%%% Salt Lake City, UT 84112-0090
%%% USA",
%%% telephone = "+1 801 581 5254",
%%% FAX = "+1 801 581 4148",
%%% URL = "http://www.math.utah.edu/~beebe",
%%% checksum = "06702 23032 96142 920157",
%%% email = "beebe at math.utah.edu, beebe at acm.org,
%%% beebe at computer.org, beebe at ieee.org
%%% (Internet)",
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%%% docstring = "This is a nearly complete bibliography of the
%%% journal SIAM Journal on Scientific and
%%% Statistical Computing (CODEN SIJCD4, ISSN
%%% 0196-5204), published by the Society for
%%% Industrial and Applied Mathematics (SIAM).
%%% Publication began with Volume 1, Number 1,
%%% March 1980, and ceased with Volume 13, Number
%%% 6, November 1992, when the journal was
%%% renamed to SIAM Journal on Scientific
%%% Computing. The latter journal is covered in
%%% a separate bibliography, siamjscicomp.bib.
%%%
%%% At version 1.12, the year coverage looked
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%%%
%%% 1980 ( 37) 1985 ( 72) 1990 ( 69)
%%% 1981 ( 37) 1986 ( 93) 1991 ( 82)
%%% 1982 ( 33) 1987 ( 87) 1992 ( 85)
%%% 1983 ( 54) 1988 ( 77)
%%% 1984 ( 69) 1989 ( 72)
%%%
%%% Article: 867
%%%
%%% Total entries: 867
%%%
%%% Data for the bibliography has been collected
%%% from the OCLC Contents1st database, from the
%%% MathSciNet database, from the bibliographies
%%% in the TeX User Group and BibNet Project
%%% collections, from bibliographies in the
%%% author's personal files, from the IEEE INSPEC
%%% databases (1985--1997), and from the computer
%%% science bibliography collection on
%%% ftp.ira.uka.de in /pub/bibliography to which
%%% many people of have contributed. The
%%% snapshot of this collection was taken on
%%% 5-May-1994, and it consists of 441 BibTeX
%%% files, 2,672,675 lines, 205,289 entries, and
%%% 6,375 <at>String{} abbreviations, occupying
%%% 94.8MB of disk space. This journal is not
%%% covered by the Compendex databases.
%%%
%%% Numerous errors in the sources noted above
%%% have been corrected. Spelling has been
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%%% programs using the exception dictionary
%%% stored in the companion file with extension
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%%%
%%% BibTeX citation tags are uniformly chosen
%%% as name:year:abbrev, where name is the
%%% family name of the first author or editor,
%%% year is a 4-digit number, and abbrev is a
%%% 3-letter condensation of important title
%%% words. Citation tags were automatically
%%% generated by software developed for the
%%% BibNet Project.
%%%
%%% In this bibliography, entries are sorted in
%%% publication order, using ``bibsort -byvolume''.
%%%
%%% The checksum field above contains a CRC-16
%%% checksum as the first value, followed by the
%%% equivalent of the standard UNIX wc (word
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%=======================================================================
% Acknowledgement abbreviations:
@String{ack-nhfb = "Nelson H. F. Beebe,
University of Utah,
Department of Mathematics, 110 LCB,
155 S 1400 E RM 233,
Salt Lake City, UT 84112-0090, USA,
Tel: +1 801 581 5254,
FAX: +1 801 581 4148,
e-mail: \path|beebe@math.utah.edu|,
\path|beebe@acm.org|,
\path|beebe@computer.org|,
\path|beebe@ieee.org| (Internet),
URL: \path|http://www.math.utah.edu/~beebe/|"}
%=======================================================================
% Journal abbreviations:
@String{j-SIAM-J-SCI-STAT-COMP = "SIAM Journal on Scientific and Statistical
Computing"}
%=======================================================================
% Bibliography entries:
@Article{Chorin:1980:VMB,
author = "Alexandre Joel Chorin",
title = "Vortex models and boundary layer instability",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "1",
pages = "1--21",
month = mar,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76E99 (76D10)",
MRnumber = "81e:76043",
MRreviewer = "William H. H. Banks",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Blue:1980:RMS,
author = "James L. Blue",
title = "Robust methods for solving systems of nonlinear
equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "1",
pages = "22--33",
month = mar,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65H10",
MRnumber = "81k:65050",
MRreviewer = "L. Hageman",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Bourgat:1980:LDC,
author = "J. F. Bourgat and J. M. Dumay and R. Glowinski",
title = "Large displacement calculations of flexible pipelines
by finite element and nonlinear programming methods",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "1",
pages = "34--81",
month = mar,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "73G99 (65N30)",
MRnumber = "82c:73037",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Trefethen:1980:NCS,
author = "Lloyd N. Trefethen",
title = "Numerical computation of the {Schwarz-Christoffel}
transformation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "1",
pages = "82--102",
month = mar,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "30C30 (65E05)",
MRnumber = "81g:30012a",
MRreviewer = "N. Papamichael",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
note = "See erratum \cite{Trefethen:1980:ENC}.",
acknowledgement = ack-nhfb,
}
@Article{Shampine:1980:IIF,
author = "L. F. Shampine",
title = "Implementation of implicit formulas for the solution
of {ODE}s",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "1",
pages = "103--118",
month = mar,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L05",
MRnumber = "81e:65041",
MRreviewer = "David R. Hill",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Strikwerda:1980:IMN,
author = "John Strikwerda",
title = "Iterative methods for the numerical solution of second
order elliptic equations with large first order terms",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "1",
pages = "119--130",
month = mar,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N05",
MRnumber = "81f:65070",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Beam:1980:ADI,
author = "Richard M. Beam and R. F. Warming",
title = "Alternating direction implicit methods for parabolic
equations with a mixed derivative",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "1",
pages = "131--159",
month = mar,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M10",
MRnumber = "84d:65067",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Ascher:1980:NSM,
author = "U. Ascher and F. Y. M. Wan",
title = "Numerical solutions for maximum sustainable
consumption growth with a multi-grade exhaustible
resource",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "1",
pages = "160--172",
month = mar,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "90A30",
MRnumber = "81f:90036",
MRreviewer = "Kare M. Mjelde",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{DiDonato:1980:CIB,
author = "A. R. DiDonato and M. P. {Jarnagin, Jr.} and R. K.
Hageman",
title = "Computation of the integral of the bivariate normal
distribution over convex polygons",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "2",
pages = "179--186",
month = jun,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65U05 (62E15)",
MRnumber = "82c:65097",
MRreviewer = "E. M. Klimko",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Banks:1980:MDL,
author = "Stephen C. Banks and Howard L. Taylor",
title = "A modification to the discrete $\ell_{1}$ linear
approximation algorithm of {Barrodale} and {Roberts}",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "2",
pages = "187--190",
month = jun,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "90C05",
MRnumber = "82a:90081",
MRreviewer = "Asen L. Dontchev",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Gropp:1980:TMM,
author = "William D. Gropp",
title = "A test of moving mesh refinement for $2$-{D} scalar
hyperbolic problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "2",
pages = "191--197",
month = jun,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N99",
MRnumber = "82j:65088",
MRreviewer = "E. G. D\cprime yakonov",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Serbin:1980:ACM,
author = "Steven M. Serbin and Sybil A. Blalock",
title = "An algorithm for computing the matrix cosine",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "2",
pages = "198--204",
month = jun,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F30 (65L05)",
MRnumber = "82b:65031",
MRreviewer = "Cs. J. Heged{\H{u}}s",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{OLeary:1980:EMC,
author = "Dianne Prost O'Leary",
title = "Estimating matrix condition numbers",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "2",
pages = "205--209",
month = jun,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "15A12 (65F35)",
MRnumber = "82c:15006",
MRreviewer = "O. Pokorn{\'a}",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Saylor:1980:USV,
author = "Paul E. Saylor",
title = "Use of the singular value decomposition with the
{Manteuffel} algorithm for nonsymmetric linear
systems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "2",
pages = "210--222",
month = jun,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F10 (65F15)",
MRnumber = "81m:65049",
MRreviewer = "F. Szidarovszky",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Buneman:1980:TFE,
author = "Oscar Buneman",
title = "Tetrahedral finite elements for interpolation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "2",
pages = "223--248",
month = jun,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N30 (65D05)",
MRnumber = "82a:65088",
MRreviewer = "H. Marcinkowska",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Engquist:1980:ACC,
author = "Bj{\"o}rn Engquist and Tom Smedsaas",
title = "Automatic computer code generation for hyperbolic and
parabolic differential equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "2",
pages = "249--259",
month = jun,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65-04 (65M05 65V05)",
MRnumber = "81k:65003",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Flaherty:1980:CPT,
author = "Joseph E. Flaherty and William Mathon",
title = "Collocation with polynomial and tension splines for
singularly-perturbed boundary value problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "2",
pages = "260--289",
month = jun,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L10",
MRnumber = "82a:65055",
MRreviewer = "T. St\'ys",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Bloomfield:1980:LAD,
author = "Peter Bloomfield and William Steiger",
title = "Least absolute deviations curve-fitting",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "2",
pages = "290--301",
month = jun,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D10 (62J05)",
MRnumber = "82f:65011",
MRreviewer = "Corrado Corradi",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Trefethen:1980:ENC,
author = "Lloyd N. Trefethen",
title = "Erratum: {``Numerical computation of the
Schwarz-Christoffel transformation''}",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "2",
pages = "302--302",
month = jun,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "30C30 (65E05)",
MRnumber = "81g:30012b",
MRreviewer = "N. Papamichael",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
note = "See \cite{Trefethen:1980:NCS}.",
acknowledgement = ack-nhfb,
}
@Article{Cybenko:1980:NSL,
author = "George Cybenko",
title = "The numerical stability of the {Levinson-Durbin}
algorithm for {Toeplitz} systems of equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "3",
pages = "303--319",
month = sep,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F05 (65M10)",
MRnumber = "82i:65019",
MRreviewer = "Ahmed H. Sameh",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Tretter:1980:ASA,
author = "Marietta J. Tretter and G. W. Walster",
title = "Analytic subtraction applied to the incomplete gamma
and beta functions",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "3",
pages = "321--326",
month = sep,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D20 (33A15)",
MRnumber = "81m:65029",
MRreviewer = "Anton Hut'a",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{LaVita:1980:EGU,
author = "James LaVita",
title = "Error growth in using the random choice method for the
inviscid {Burgers} equation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "3",
pages = "327--332",
month = sep,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M15 (76-04 76B99)",
MRnumber = "82i:65057",
MRreviewer = "Murli M. Gupta",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Roulier:1980:CI,
author = "John A. Roulier",
title = "Constrained interpolation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "3",
pages = "333--344",
month = sep,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "41A15 (65D05)",
MRnumber = "82e:41018",
MRreviewer = "Philip W. Smith",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Murray:1980:PLA,
author = "Walter Murray and Michael L. Overton",
title = "A projected {Lagrangian} algorithm for nonlinear
minimax optimization",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "3",
pages = "345--370",
month = sep,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "90C30",
MRnumber = "82c:90082",
MRreviewer = "J. Mockus",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Kriegsmann:1980:SHE,
author = "Gregory A. Kriegsmann and Cathleen S. Morawetz",
title = "Solving the {Helmholtz} equation for exterior problems
with variable index of refraction. {I}",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "3",
pages = "371--385",
month = sep,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N05 (35J05 76X05 78A45)",
MRnumber = "82b:65097",
MRreviewer = "Joseph Oliger",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Fornberg:1980:NMC,
author = "Bengt Fornberg",
title = "A numerical method for conformal mappings",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "3",
pages = "386--400",
month = sep,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "30C30 (65E05)",
MRnumber = "81m:30009",
MRreviewer = "G. Opfer",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Silverman:1980:MCE,
author = "B. W. Silverman and D. M. Titterington",
title = "Minimum covering ellipses",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "4",
pages = "401--409",
month = dec,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "51M10 (62J99 90C99)",
MRnumber = "82g:51025",
MRreviewer = "R. Pfaffenberger",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Proskurowski:1980:FEC,
author = "W{\l}odzimierz Proskurowski and Olof Widlund",
title = "A finite element-capacitance matrix method for the
{Neumann} problem for {Laplace}'s equation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "4",
pages = "410--425",
month = dec,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N20 (65N30)",
MRnumber = "83e:65164",
MRreviewer = "Kristian Witsch",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Abarbanel:1980:ITD,
author = "Saul Abarbanel and David Gottlieb",
title = "On improving the $2-4$ two-dimensional leap-frog
scheme",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "4",
pages = "426--430",
month = dec,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M10",
MRnumber = "83a:65080",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Steger:1980:GBF,
author = "Joseph L. Steger and Denny S. Chaussee",
title = "Generation of body-fitted coordinates using hyperbolic
partial differential equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "4",
pages = "431--437",
month = dec,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N50",
MRnumber = "83a:65115",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Rice:1980:DQF,
author = "S. O. Rice",
title = "Distribution of quadratic forms in normal random
variables---evaluation by numerical integration",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "4",
pages = "438--448",
month = dec,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "62E30 (65U05)",
MRnumber = "82g:62037",
MRreviewer = "James E. Gentle",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
note = "See comment \cite{Helstrom:1983:CDQ}.",
acknowledgement = ack-nhfb,
}
@Article{Strikwerda:1980:NMC,
author = "John Strikwerda and James Geer",
title = "A numerical method for computing the shape of a
vertical slender jet",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "4",
pages = "449--466",
month = dec,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76D25 (65P05 76A60)",
MRnumber = "82i:76032",
MRreviewer = "Murli M. Gupta",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Watson:1980:SFD,
author = "Layne T. Watson",
title = "Solving finite difference approximations to nonlinear
two-point boundary value problems by a homotopy
method",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "4",
pages = "467--480",
month = dec,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L10 (58F10 76D10)",
MRnumber = "83b:65083",
MRreviewer = "T. Y. Li",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Ruhe:1980:FED,
author = "Axel Ruhe",
title = "Fitting empirical data by positive sums of
exponentials",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "4",
pages = "481--498",
month = dec,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D10",
MRnumber = "84h:65019",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Kautsky:1980:EMC,
author = "J. Kautsk\'y and N. K. Nichols",
title = "Equidistributing meshes with constraints",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "4",
pages = "499--511",
month = dec,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M50",
MRnumber = "83a:65083",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Calamai:1980:SAS,
author = "P. H. Calamai and A. R. Conn",
title = "A stable algorithm for solving the multifacility
location problem involving {Euclidean} distances",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "4",
pages = "512--526",
month = dec,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "90B05 (90C30)",
MRnumber = "82i:90023",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{deBoor:1980:FNM,
author = "Carl de Boor",
title = "{FFT} as nested multiplication, with a twist",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "??",
pages = "173--178",
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
bibdate = "Tue Feb 20 14:39:00 MST 2001",
acknowledgement = ack-nhfb,
ZMnumber = "459.65098",
}
@Article{Eisenstat:1981:EIC,
author = "Stanley C. Eisenstat",
title = "Efficient implementation of a class of preconditioned
conjugate gradient methods",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "1",
pages = "1--4",
month = mar,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F10",
MRnumber = "83a:65030",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Wahba:1981:SIS,
author = "Grace Wahba",
title = "Spline interpolation and smoothing on the sphere",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "1",
pages = "5--16",
month = mar,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D07 (41A15 65D05)",
MRnumber = "84j:65016a",
bibdate = "Sat Oct 28 08:42:55 2000",
note = "See erratum \cite{Wahba:1982:ESI}.",
acknowledgement = ack-nhfb,
}
@Article{Murio:1981:MMN,
author = "Diego A. Murio",
title = "The mollification method and the numerical solution of
an inverse heat conduction problem",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "1",
pages = "17--34",
month = mar,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65P05 (80A20)",
MRnumber = "83e:65192",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Georg:1981:TID,
author = "Kurt Georg",
title = "On tracing an implicitly defined curve by
quasi-{Newton} steps and calculating bifurcation by
local perturbations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "1",
pages = "35--50",
month = mar,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "58E07 (58C15 58C40 65H05 65J15 90C30)",
MRnumber = "82k:58031",
MRreviewer = "Christian Fenske",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Carver:1981:USM,
author = "M. B. Carver and S. R. MacEwen",
title = "On the use of sparse matrix approximation to the
{Jacobian} in integrating large sets of ordinary
differential equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "1",
pages = "51--64",
month = mar,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L05",
MRnumber = "83a:65060",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Moore:1981:PVM,
author = "D. W. Moore",
title = "On the point vortex method",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "1",
pages = "65--84",
month = mar,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65R20 (76C05)",
MRnumber = "83f:65214",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Hald:1981:CRM,
author = "Ole H. Hald",
title = "Convergence of random methods for a reaction-diffusion
equation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "1",
pages = "85--94",
month = mar,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M99 (35K55 80A20)",
MRnumber = "83c:65210",
MRreviewer = "John Crank",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Reitz:1981:SNM,
author = "Rolf D. Reitz",
title = "A study of numerical methods for reaction-diffusion
equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "1",
pages = "95--106",
month = mar,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M05 (35K55 80A20)",
MRnumber = "83c:65197",
MRreviewer = "John Crank",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Beyn:1981:SMS,
author = "Wolf-J{\"u}rgen Beyn and Eusebius Doedel",
title = "Stability and multiplicity of solutions to
discretizations of nonlinear ordinary differential
equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "1",
pages = "107--120",
month = mar,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L10 (58F14)",
MRnumber = "83d:65223",
MRreviewer = "Uri Ascher",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{VanDooren:1981:GEA,
author = "P. {Van Dooren}",
title = "A generalized eigenvalue approach for solving
{Riccati} equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "2",
pages = "121--135",
month = jun,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F15 (93E25)",
MRnumber = "83h:65052",
MRreviewer = "Ahmed H. Sameh",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
note = "See erratum \cite{VanDooren:1983:EGE}.",
acknowledgement = ack-nhfb,
classification = "B0290B (Error analysis in numerical methods); C4140
(Linear algebra)",
corpsource = "Dept. of Electrical Engng. and Computer Sci., Stanford
Univ., Stanford, CA, USA",
keywords = "eigenvalues; eigenvalues and eigenfunctions; linear
system theory; numerical methods; ordering;
QZ-algorithm; Riccati equations; subspace",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Stewart:1981:IDN,
author = "G. W. Stewart",
title = "On the implicit deflation of nearly singular systems
of linear equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "2",
pages = "136--140",
month = jun,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F05",
MRnumber = "82f:65030",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Dept. of Computer Sci., Univ. of Maryland, College
Park, MD, USA",
keywords = "iterative methods; linear algebra; linear equations;
matrix algebra; nearly singular systems; sparsity",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Ward:1981:BGE,
author = "Robert C. Ward",
title = "Balancing the generalized eigenvalue problem",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "2",
pages = "141--152",
month = jun,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F15 (65F35)",
MRnumber = "83h:65053",
MRreviewer = "Ahmed H. Sameh",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Dept. of Math. and Statistics Res., Union Carbide
Corp., Oak Ridge, TN, USA",
keywords = "algorithm; diagonal transformation; eigenvalues and
eigenfunctions; generalized eigenvalue problem;
numerical methods; QZ algorithm",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Utreras:1981:CRS,
author = "Florencio I. Utreras",
title = "On computing robust splines and applications",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "2",
pages = "153--163",
month = jun,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D07",
MRnumber = "82f:65010",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
corpsource = "Dept. de Matematicas, Univ. de Chile, Santiago,
Chile",
keywords = "Newton minimization algorithm; penalty function
method; robust splines; spline functions; splines
(mathematics)",
treatment = "T Theoretical or Mathematical",
}
@Article{Davis:1981:NSQ,
author = "George J. Davis",
title = "Numerical solution of a quadratic matrix equation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "2",
pages = "164--175",
month = jun,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F15 (65F30)",
MRnumber = "82f:65036",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Dept. of Math., Georgia State Univ., Atlanta, GA,
USA",
keywords = "matrix algebra; nonzero vectors; numerical methods;
quadratic matrix equation; scalars; solvent matrix;
square matrices",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Allen:1981:AIP,
author = "Richard C. Allen and Steven A. Pruess",
title = "An analysis of an inverse problem in ordinary
differential equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "2",
pages = "176--185",
month = jun,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "34A55 (65D10)",
MRnumber = "84c:34015",
MRreviewer = "Brian D. Sleeman",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); B0290P (Differential
equations); C4140 (Linear algebra); C4170 (Differential
equations)",
corpsource = "Dept. of Math. and Statistics, Univ. of New Mexico,
Albuquerque, NM, USA",
keywords = "algorithm; differential equations; matrix algebra;
numerical methods; ordinary differential equations",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Gay:1981:COL,
author = "David M. Gay",
title = "Computing optimal locally constrained steps",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "2",
pages = "186--197",
month = jun,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65K05 (49D37)",
MRnumber = "83b:65061",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Center for Computational Res. in Economics and
Management Sci., MIT, Cambridge, MA, USA",
keywords = "algorithm; Hessian; least squares approximations;
locally constrained steps; negative curvature",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Hackbusch:1981:FNS,
author = "Wolfgang Hackbusch",
title = "Fast numerical solution of time-periodic parabolic
problems by a multigrid method",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "2",
pages = "198--206",
month = jun,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M99",
MRnumber = "82f:65100",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Math. Inst., Ruhr-Univ. Bochum, Bochum, West Germany",
keywords = "algorithm; initial value problem; initial value
problems; iterative methods; multigrid method;
nonlinear mapping; partial differential equation;
partial differential equations; time-periodic parabolic
problems",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Murray:1981:PLA,
author = "Walter Murray and Michael L. Overton",
title = "A projected {Lagrangian} algorithm for nonlinear
$\ell_{1}$\ optimization",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "2",
pages = "207--224",
month = jun,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "49D37 (65K05)",
MRnumber = "83a:49053",
MRreviewer = "V. F. Dem\cprime yanov",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Operations Res., Stanford Univ., Stanford,
CA, USA",
keywords = "function approximation; Hessian; iterative methods;
Lagrange multiplier; Lagrangian algorithm; line search
algorithm",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Eisenstat:1981:ADS,
author = "Stanley C. Eisenstat and Martin H. Schultz and Andrew
H. Sherman",
title = "Algorithms and data structures for sparse symmetric
{Gaussian} elimination",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "2",
pages = "225--237",
month = jun,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F05 (65N20)",
MRnumber = "82f:65029",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra);
C6120 (File organisation)",
corpsource = "Dept. of Computer Sci., Yale Univ., New Haven, CT,
USA",
keywords = "algorithms; data structures; linear equations; matrix
algebra; numerical methods; sparse elimination;
symmetric Gaussian elimination; Yale Sparse Matrix
Package",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Grcar:1981:CPT,
author = "J. Grcar and A. Sameh",
title = "On certain parallel {Toeplitz} linear system solvers",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "2",
pages = "238--256",
month = jun,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F05 (68B20)",
MRnumber = "82e:65030",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Dept. of Computer Sci., Univ. of Illinois, Urbana, IL,
USA",
keywords = "algorithms; circulant matrix; Hurwitz factorisation;
matrix algebra; numerical methods; parallel Toeplitz
linear system; subdiagonals",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Fletcher:1981:NPP,
author = "Roger Fletcher",
title = "A nonlinear programming problem in statistics
(educational testing)",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "3",
pages = "257--267",
month = sep,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "90C30 (90C50)",
MRnumber = "82k:90098",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0240Z (Other topics in statistics); B0260
(Optimisation techniques); C1140Z (Other topics in
statistics); C1180 (Optimisation techniques); C1290J
(Systems theory applications in education)",
corpsource = "Dept. of Math., Univ. of Dundee, Dundee, UK",
keywords = "convergence; education; educational testing;
examination; nonlinear programming; reliability
coefficient; scores; SOLVER method; statistics",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Boisvert:1981:FHO,
author = "Ronald F. Boisvert",
title = "Families of high order accurate discretizations of
some elliptic problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "3",
pages = "268--284",
month = sep,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N05 (65N20)",
MRnumber = "82m:65095",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0220 (Mathematical analysis); B0240Z (Other topics
in statistics); C1120 (Mathematical analysis); C1140Z
(Other topics in statistics)",
corpsource = "Purdue Univ., W. Lafayette, IN, USA",
keywords = "difference equations; discretizations; elliptic
problems; families; Helmholtz equation; high order
finite difference discretizations; HODIE
discretizations; iterative methods; linear equations;
nine-point formulas; partial differential equations;
statistics; truncation error",
treatment = "T Theoretical or Mathematical",
}
@Article{Saffman:1981:PVS,
author = "P. G. Saffman and J. C. Schatzman",
title = "Properties of a vortex street of finite vortices",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "3",
pages = "285--295",
month = sep,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76C05",
MRnumber = "82k:76018",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "A4730 (Rotational flow, vortices, buoyancy and other
flows involving body forces)",
corpsource = "Dept. of Appl. Math., California Inst. of Technol.,
Pasadena, CA, USA",
keywords = "Euler equations; finite area; finite vortices;
infinite array; staggered parallel rows; uniform
vorticity; vortex street; vortices",
treatment = "T Theoretical or Mathematical",
}
@Article{Gottlieb:1981:SCO,
author = "David Gottlieb and Liviu Lustman and Steven A.
Orszag",
title = "Spectral calculations of one-dimensional inviscid
compressible flows",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "3",
pages = "296--310",
month = sep,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76A60 (65P05 76L05 76N10)",
MRnumber = "82m:76002",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "A4740N (Shock-wave interactions)",
corpsource = "ICASE, NASA Langley Res. Center, Hampton, VA, USA",
keywords = "contact discontinuities; grid interval; inviscid
compressible flows; shock waves; shocks; spectral
methods",
treatment = "T Theoretical or Mathematical",
}
@Article{Couet:1981:EEI,
author = "Benoit Cou{\"e}t and A. Leonard",
title = "Exact extension to the infinite domain for the
vortex-in-cell method",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "3",
pages = "311--320",
month = sep,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76A60 (65P05 76C99)",
MRnumber = "82k:76004",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "A0340G (Fluid dynamics: general mathematical
aspects); A4730 (Rotational flow, vortices, buoyancy
and other flows involving body forces); B0240Z (Other
topics in statistics); B0290F (Interpolation and
function approximation); C1140Z (Other topics in
statistics); C4130 (Interpolation and function
approximation)",
corpsource = "Inst. for Plasma Res., Stanford Univ., Stanford, CA,
USA",
keywords = "boundary conditions; differential equations; exact
extension; finite pentadiagonal systems; infinite
domain; numerical simulation; plane layers; Poisson's
equation; quadratic spline basis functions; splines
(mathematics); statistics; unsteady potential flow;
velocity field; vortex-in-cell method; vortical fluid;
vortices",
treatment = "T Theoretical or Mathematical",
}
@Article{Zlatev:1981:MDI,
author = "Zahari Zlatev",
title = "Modified diagonally implicit {Runge-}{Kutta} methods",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "3",
pages = "321--334",
month = sep,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L05",
MRnumber = "82m:65070",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0220 (Mathematical analysis); B0240Z (Other topics
in statistics); B0290P (Differential equations); C1120
(Mathematical analysis); C1140Z (Other topics in
statistics); C4170 (Differential equations)",
corpsource = "Dept. of Computer Sci., Aarhus Univ., Aarhus,
Denmark",
keywords = "diagonally implicit Runge-Kutta methods; differential
equations; DIRKM; error estimation; Newton's method;
numerical examples; numerical solution; ordinary
differential equations; Runge-Kutta methods; stability;
statistics",
treatment = "T Theoretical or Mathematical",
}
@Article{Manteuffel:1981:IAA,
author = "Thomas A. Manteuffel",
title = "An interval analysis approach to rank determination in
linear least squares problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "3",
pages = "335--348",
month = sep,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65G10",
MRnumber = "82m:65042",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0210 (Algebra); B0240Z (Other topics in
statistics); C1110 (Algebra); C1140Z (Other topics in
statistics)",
corpsource = "Los Alamos Nat. Lab., Los Alamos, NM, USA",
keywords = "column rank; decomposition method; interval analysis;
linear least squares problems; matrices; matrix
algebra; rank determination; statistics",
treatment = "T Theoretical or Mathematical",
}
@Article{UtrerasD:1981:OSN,
author = "Florencio {Utreras D.}",
title = "Optimal smoothing of noisy data using spline
functions",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "3",
pages = "349--362",
month = sep,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D10",
MRnumber = "82m:65012",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. de Matematicas, Univ. de Chile, Santiago,
Chile",
keywords = "asymptotic behavior; cross validation; eigenvalues;
noisy data; optimal smoothing; smoothing spline; spline
functions; splines (mathematics)",
treatment = "T Theoretical or Mathematical",
}
@Article{Hanson:1981:AMB,
author = "Richard J. Hanson and Michael J. Norris",
title = "Analysis of measurements based on the singular value
decomposition",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "3",
pages = "363--373",
month = sep,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D10 (65F30)",
MRnumber = "82m:65011",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0170L (Inspection and quality control); B0210
(Algebra); C1110 (Algebra); C1290 (Applications of
systems theory)",
corpsource = "Numerical Maths. Div., Sandia Nat. Labs., Albuquerque,
NM, USA",
keywords = "angular representation; computational algorithm;
coordinate systems; drawing; explicit least squares;
manufactured parts; matrix algebra; measurements
analysis; orthogonal transformation matrix; quality
control; related matrix; singular value decomposition",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Funderlic:1981:SHS,
author = "R. E. Funderlic and J. B. Mankin",
title = "Solution of homogeneous systems of linear equations
arising from compartmental models",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "4",
pages = "375--383",
month = dec,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F10 (15A06 92A07)",
MRnumber = "83b:65029",
MRreviewer = "Jerome Eisenfeld",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Nuclear Div., Union Carbide Corp., Oak Ridge, TN,
USA",
keywords = "compartmental models; Crout algorithm; differential
equations; error analysis; linear differential
equations; linear equations; LU factorisation; M
matrix; nonnegative off-diagonal elements; queueing
network; steady-state solution; tracer methods;
transfer function; zero column sums",
treatment = "T Theoretical or Mathematical",
}
@Article{Grimes:1981:CNE,
author = "Roger G. Grimes and John G. Lewis",
title = "Condition number estimation for sparse matrices",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "4",
pages = "384--388",
month = dec,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F35",
MRnumber = "82k:65019",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Energy Technol. Applications Div., Boeing Computer
Services Co., Tukwila, WA, USA",
keywords = "condition number; convergence of numerical methods;
estimation; linear equation solving software; LINPACK
package; matrix algebra; sparse matrices",
treatment = "T Theoretical or Mathematical",
}
@Article{Bahar:1981:NTT,
author = "E. Bahar and M. Fitzwater",
title = "Numerical technique to trace the loci of the complex
roots of characteristic equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "4",
pages = "389--403",
month = dec,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65H05 (78A50 86A35)",
MRnumber = "82k:65025",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Electrical Engng. Dept., Univ. of Nebraska, Lincoln,
NE, USA",
keywords = "analytical expressions; characteristic equations;
complex roots; conformal mapping; covering space;
earth-ionosphere waveguide; irregular spheroidal model;
linear algebra; numerical technique; real zero problem;
vertically polarized waves",
treatment = "T Theoretical or Mathematical",
}
@Article{Stephens:1981:MSB,
author = "A. B. Stephens and G. R. Shubin",
title = "Multiple solutions and bifurcation of finite
difference approximations to some steady problems of
fluid dynamics",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "4",
pages = "404--415",
month = dec,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "58E07 (34A50 65L05 76-08 76D99)",
MRnumber = "83c:58025",
MRreviewer = "Michael Pr{\"u}fer",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "A0260 (Numerical approximation and analysis); A0340G
(Fluid dynamics: general mathematical aspects)",
corpsource = "Applied Math. Branch, Naval Surface Weapons Center,
Silver Spring, MD, USA",
keywords = "bifurcation; difference equations; finite difference
approximations; fluid dynamics; multiple finite
difference solutions; one-dimensional duct flow; steady
Burgers' equation; steady problems; supersonic blunt
body problem; viscosity",
treatment = "T Theoretical or Mathematical",
}
@Article{George:1981:SLS,
author = "J. A. George and M. T. Heath and R. J. Plemmons",
title = "Solution of large-scale sparse least squares problems
using auxiliary storage",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "4",
pages = "416--429",
month = dec,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F20",
MRnumber = "83d:65124",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C6120 (File organisation)",
corpsource = "Dept. of Computer Sci., Univ. of Waterloo, Waterloo,
Ont., Canada",
keywords = "automatic partitioning scheme; auxiliary storage;
earthquake studies; finite element analysis; geodetic
network adjustments; large-scale sparse least squares
problems; least squares approximations; photogrammetry;
virtual address space; virtual storage",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Alcouffe:1981:MMD,
author = "R. E. Alcouffe and Achi Brandt and J. E. {Dendy, Jr.}
and J. W. Painter",
title = "The multi-grid method for the diffusion equation with
strongly discontinuous coefficients",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "4",
pages = "430--454",
month = dec,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N50",
MRnumber = "82k:65072",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Theoretical Div., Los Alamos Sci. Lab., Los Alamos,
NM, USA",
keywords = "difference equations; diffusion equation; finite
difference operators; multi-grid method; strongly
discontinuous coefficients",
treatment = "T Theoretical or Mathematical",
}
@Article{Simpson:1981:TDM,
author = "R. B. Simpson",
title = "A two-dimensional mesh verification algorithm",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "4",
pages = "455--473",
month = dec,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N50",
MRnumber = "82k:65073",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Dept. of Computer Sci., Univ. of Waterloo, Waterloo,
Ont., Canada",
keywords = "boundary data; element incidences; finite element
analysis; finite element mesh; two-dimensional mesh
verification algorithm; vertex coordinates",
treatment = "T Theoretical or Mathematical",
}
@Article{OLeary:1981:BRP,
author = "Dianne P. O'Leary and John A. Simmons",
title = "A bidiagonalization-regularization procedure for large
scale discretizations of ill-posed problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "4",
pages = "474--489",
month = dec,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F99 (45L10 65R20)",
MRnumber = "82k:65020",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290R (Integral equations); C4180 (Integral
equations)",
corpsource = "Math. Analysis Div., NBS, Washington, DC, USA",
keywords = "bidiagonalization-regularization procedure;
convolution kernels; ill-posed problems; integral
equation; integral equations; Lanczos algorithm;
large-scale discretizations; least squares
approximations; linear least squares problems;
matrices",
treatment = "T Theoretical or Mathematical",
}
@Article{Melnick:1982:CEC,
author = "Edward L. Melnick",
title = "Control of errors in the computation of moments of
ranked discrete variables",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "1",
pages = "1--5",
month = mar,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "62G30 (65U05)",
MRnumber = "83d:62075",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Davis:1982:AFE,
author = "Stephen F. Davis and Joseph E. Flaherty",
title = "An adaptive finite element method for initial-boundary
value problems for partial differential equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "1",
pages = "6--27",
month = mar,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M60 (65M50)",
MRnumber = "83d:65259",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Varah:1982:SLS,
author = "J. M. Varah",
title = "A spline least squares method for numerical parameter
estimation in differential equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "1",
pages = "28--46",
month = mar,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D10 (65D07 65L05)",
MRnumber = "83d:65036",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{deBoor:1982:EPA,
author = "Carl {de Boor} and John R. Rice",
title = "Extremal polynomials with application to {Richardson}
iteration for indefinite linear systems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "1",
pages = "47--57",
month = mar,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F10",
MRnumber = "83f:65044",
MRreviewer = "J. Segethov{\'a}",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Scott:1982:SSD,
author = "David S. Scott and Robert C. Ward",
title = "Solving symmetric-definite quadratic $\lambda $-matrix
problems without factorization",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "1",
pages = "58--67",
month = mar,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F15",
MRnumber = "83d:65116",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Scott:1982:AIO,
author = "D. S. Scott",
title = "The advantages of inverted operators in
{Rayleigh-Ritz} approximations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "1",
pages = "68--75",
month = mar,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F15 (65F35)",
MRnumber = "83e:65072",
MRreviewer = "Ludwig Elsner",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Colella:1982:GMG,
author = "Phillip Colella",
title = "{Glimm}'s method for gas dynamics",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "1",
pages = "76--110",
month = mar,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76N10 (65N05 76-08)",
MRnumber = "83f:76069",
MRreviewer = "F. Milinazzo",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Gilbert:1982:CAC,
author = "Robert P. Gilbert and Jarl Jensen",
title = "A computational approach for constructing singular
solutions of one-dimensional pseudoparabolic and
metaparabolic equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "1",
pages = "111--125",
month = mar,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65P05 (35-04)",
MRnumber = "83d:65318",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Shubin:1982:SST,
author = "G. R. Shubin and A. B. Stephens and H. M. Glaz and A.
B. Wardlaw and L. B. Hackerman",
title = "Steady shock tracking, {Newton}'s method, and the
supersonic blunt body problem",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "2",
pages = "127--144",
month = jun,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76J99 (76-08)",
MRnumber = "83f:76062",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "A4740K (Supersonic and hypersonic flows); A4740N
(Shock-wave interactions)",
corpsource = "Appl. Maths. Branch, Naval Surface Weapons Center,
Silver Spring, MD, USA",
keywords = "axisymmetric supersonic blunt body problem; bow shock;
constant total enthalpy condition; flow over a sphere;
Newton's method; physical shock locations; shock
tracking; shock waves; steady shock tracking method;
supersonic flow",
treatment = "T Theoretical or Mathematical",
}
@Article{Kautsky:1982:SRD,
author = "Jaroslav Kautsky and Nancy K. Nichols",
title = "Smooth regrading of discretized data",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "2",
pages = "145--159",
month = jun,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
bibdate = "Tue Feb 20 14:39:00 MST 2001",
acknowledgement = ack-nhfb,
ZMnumber = "482.65009",
}
@Article{Genz:1982:LEA,
author = "Alan C. Genz",
title = "A {Lagrange} extrapolation algorithm for sequences of
approximations to multiple integrals",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "2",
pages = "160--172",
month = jun,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D30 (65-04)",
MRnumber = "83d:65059",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
B0290M (Numerical integration and differentiation);
C4130 (Interpolation and function approximation); C4160
(Numerical integration and differentiation)",
corpsource = "Math. Inst., Univ. of Kent, Canterbury, UK",
keywords = "approximations to multiple integrals; Fortran
subroutine; integration; interpolation; multiple
integrals; multivariable Lagrange interpolation;
subroutines",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Chan:1982:ALC,
author = "Tony F. C. Chan and H. B. Keller",
title = "Arc-length continuation and multi-grid techniques for
nonlinear elliptic eigenvalue problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "2",
pages = "173--194",
month = jun,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65H05",
MRnumber = "83d:65152",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Computer Sci. Dept., Yale Univ., New Haven, CT, USA",
keywords = "arc-length continuation; eigenvalues and
eigenfunctions; elliptic systems; linear systems;
multi-grid algorithm; multi-grid methods; nonlinear
elliptic eigenvalue problems; partial differential
equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Smooke:1982:PAP,
author = "Mitchell D. Smooke",
title = "Piecewise analytical perturbation series solutions of
the radial {Schr{\"o}dinger} equation: one-dimensional
case",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "2",
pages = "195--222",
month = jun,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L10 (81C12)",
MRnumber = "83d:65232",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "A0230 (Function theory, analysis); A0365G (Solutions
of wave equations: bound state in quantum theory)",
corpsource = "Appl. Maths. Div., Sandia Nat. Labs., Livermore, CA,
USA",
keywords = "PAPSM; perturbation series solution; piecewise
analytical perturbation series; radial Schrodinger
equation; Schrodinger equation",
treatment = "T Theoretical or Mathematical",
}
@Article{Heath:1982:SEA,
author = "Michael T. Heath",
title = "Some extensions of an algorithm for sparse linear
least squares problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "2",
pages = "223--237",
month = jun,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F20 (65F05)",
MRnumber = "83d:65126",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Eubank:1982:COD,
author = "Randall L. Eubank and Patricia L. Smith and Philip W.
Smith",
title = "On the computation of optimal designs for certain time
series models with applications to optimal quantile
selection for location or scale parameter estimation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "2",
pages = "238--249",
month = jun,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "62M10 (62K05)",
MRnumber = "83h:62137",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Bayliss:1982:OBC,
author = "Alvin Bayliss and Eli Turkel",
title = "Outflow boundary conditions for fluid dynamics",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "2",
pages = "250--259",
month = jun,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76-08 (76D05)",
MRnumber = "83f:76008",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "A4710 (General fluid dynamics theory, simulation and
other computational methods)",
corpsource = "Courant Inst. of Math. Sci., New York Univ., New York,
NY, USA",
keywords = "boundary condition; boundary layers; boundary-value
problems; Euler equation; fluid dynamics; high Reynolds
number; Navier-Stokes equations; Navier-Stokes flow;
radiation boundary condition; radiation condition",
treatment = "T Theoretical or Mathematical",
}
@Article{Greenstadt:1982:CDA,
author = "John Greenstadt",
title = "The cell discretization algorithm for elliptic partial
differential equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "3",
pages = "261--288",
month = sep,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N99 (65N30)",
MRnumber = "84c:65148",
MRreviewer = "David F. Griffiths",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Palo Alto Sci. Center, IBM Corp., Palo Alto, CA, USA",
keywords = "boundary value problems; cell discretization
algorithm; elliptic equations; elliptic partial
differential equations; finite element method; partial
differential equations; representative problems",
treatment = "T Theoretical or Mathematical",
}
@Article{Gautschi:1982:GOP,
author = "Walter Gautschi",
title = "On generating orthogonal polynomials",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "3",
pages = "289--317",
month = sep,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D15 (33A65 65D20)",
MRnumber = "84e:65022",
MRreviewer = "H. E. Fettis",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Computer Sci., Purdue Univ., West Lafayette,
IN, USA",
keywords = "Chebyshev; Chebyshev approximation; finite-dimensional
maps; numerical stability; orthogonal polynomials;
polynomials; Stieltjes",
treatment = "T Theoretical or Mathematical",
}
@Article{Kriegsmann:1982:RCW,
author = "Gregory A. Kriegsmann",
title = "Radiation conditions for wave guide problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "3",
pages = "318--326",
month = sep,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "78A50",
MRnumber = "83k:78019",
MRreviewer = "W. L. Ko",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B5240D (Waveguide and cavity theory)",
corpsource = "Dept. of Engng. Sci. and Appl. Math., Technol. Inst.,
Northwestern Univ., Evanston, IL, USA",
keywords = "Helmholtz equation; localized radiation conditions;
numerical determination; radiation condition;
two-dimensional wave guide; wave guide problems;
waveguide theory",
treatment = "T Theoretical or Mathematical",
}
@Article{Segal:1982:ANM,
author = "A. Segal",
title = "Aspects of numerical methods for elliptic singular
perturbation problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "3",
pages = "327--349",
month = sep,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L10 (65N10)",
MRnumber = "83j:65085",
MRreviewer = "John C. Strikwerda",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "A0260 (Numerical approximation and analysis); A0340G
(Fluid dynamics: general mathematical aspects); A0560
(Transport processes: theory); A4725Q (Convection and
heat transfer)",
corpsource = "Dept. of Math. and Informatics, Delft Univ. of
Technol., Delft, Netherlands",
keywords = "boundary layers; convection; convection-diffusion
equation; diffusion; elliptic singular perturbation
problems; Galerkin finite element methods; iterative
solution methods; numerical methods; partial
differential equations; small viscosity coefficient",
treatment = "T Theoretical or Mathematical",
}
@Article{vanderVorst:1982:VVS,
author = "Henk A. {van der Vorst}",
title = "A vectorizable variant of some {ICCG} methods",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "3",
pages = "350--356",
month = sep,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F10",
MRnumber = "83i:65032",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Acad. Computer Centrum Utrecht, Utrecht, Netherlands",
keywords = "highly vectorizable; ICCG methods; large sparse linear
systems; linear algebra; preconditioned conjugate
gradient method; vector machine; vectorizable variant",
treatment = "T Theoretical or Mathematical",
}
@Article{deHoog:1982:IMN,
author = "F. R. {de Hoog} and J. H. Knight and A. N. Stokes",
title = "An improved method for numerical inversion of
{Laplace} transforms",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "3",
pages = "357--366",
month = sep,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65R10",
MRnumber = "84h:65113",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
B0290Z (Other numerical methods); C4130 (Interpolation
and function approximation); C4190 (Other numerical
methods)",
corpsource = "Div. of Math. and Statistics, CSIRO, Canberra, ACT,
Australia",
keywords = "convergence of the Fourier series; function
approximation; inversion integral; Laplace transforms;
numerical inversion; numerical methods; Pade
approximation",
treatment = "T Theoretical or Mathematical",
}
@Article{Petzold:1982:DAE,
author = "Linda Petzold",
title = "Differential\slash algebraic equations are not
{ODEs}",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "3",
pages = "367--384",
month = sep,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L99 (65H99)",
MRnumber = "83i:65066",
MRreviewer = "L. F. Shampine",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Appl. Math. Div., Sandia Nat. Lab., Livermore, CA,
USA",
keywords = "differential equations; differential/algebraic
equations; difficulties; error estimates; numerical
methods; ODE systems; stiff systems",
treatment = "T Theoretical or Mathematical",
}
@Article{Wahba:1982:ESI,
author = "Grace Wahba",
title = "Erratum: {``Spline interpolation and smoothing on the
sphere''}",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "3",
pages = "385--386",
month = sep,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D07 (41A15 65D05)",
MRnumber = "84j:65016b",
bibdate = "Sat Oct 28 08:43:16 2000",
note = "See \cite{Wahba:1981:SIS}.",
acknowledgement = ack-nhfb,
}
@Article{Wesseling:1982:TPA,
author = "P. Wesseling",
title = "Theoretical and practical aspects of a multigrid
method",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "4",
pages = "387--407",
month = dec,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N05 (65F35)",
MRnumber = "84i:65095",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
B0290H (Linear algebra); B0290P (Differential
equations); C4130 (Interpolation and function
approximation); C4140 (Linear algebra); C4170
(Differential equations)",
corpsource = "Dept. of Maths., Delft Univ. of Technol., Delft,
Netherlands",
keywords = "algebraic system; approximation theory; convergence of
numerical methods; convergence proof; difference
equations; elliptic partial differential equation;
finite difference approximation; incomplete LU
decomposition; iterative methods; matrix algebra;
multigrid method; partial differential equations;
smoothing",
treatment = "T Theoretical or Mathematical",
}
@Article{Gustafsson:1982:SBA,
author = "Bertil Gustafsson and Joseph Oliger",
title = "Stable boundary approximations for implicit time
discretizations for gas dynamics",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "4",
pages = "408--421",
month = dec,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65P05 (76-08 76N15)",
MRnumber = "84c:65151",
MRreviewer = "T. S. Papatheodorou",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "A0260 (Numerical approximation and analysis); A0340G
(Fluid dynamics: general mathematical aspects); A4740D
(General subsonic flows)",
corpsource = "Dept. of Computer Sci., Uppsala Univ., Uppsala,
Sweden",
keywords = "aerodynamics; approximation theory; centred spacial
differences; conservative variables; convergence of
numerical methods; data specifications; difference
equations; extrapolation; gas dynamics; implicit time
discretizations; initial boundary value problem;
initial value problems; linearized equations; scalar
outflow problem; solid wall boundary problem; stable
difference methods; subsonic inflow problem; subsonic
outflow problem",
treatment = "T Theoretical or Mathematical",
}
@Article{Monaghan:1982:WPM,
author = "J. J. Monaghan",
title = "Why particle methods work (hydrodynamics)",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "4",
pages = "422--433",
month = dec,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76-08 (65P05 76W05 85A30)",
MRnumber = "84h:76005",
MRreviewer = "Harald E. Krogstad",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "A0260 (Numerical approximation and analysis); A0340G
(Fluid dynamics: general mathematical aspects); A4710
(General fluid dynamics theory, simulation and other
computational methods)",
corpsource = "Inst. of Astron., Cambridge, UK",
keywords = "approximation theory; finite difference methods;
hydrodynamics; interpolation; kernel estimation;
particle methods; spectral methods; SPH equations",
treatment = "T Theoretical or Mathematical",
}
@Article{DiDonato:1982:MCI,
author = "A. R. DiDonato and R. K. Hageman",
title = "A method for computing the integral of the bivariate
normal distribution over an arbitrary polygon",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "4",
pages = "434--446",
month = dec,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "62H10 (62-04 65D30)",
MRnumber = "84a:62082",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0240Z (Other topics in statistics); B0290M
(Numerical integration and differentiation); C1140Z
(Other topics in statistics); C4160 (Numerical
integration and differentiation)",
corpsource = "Naval Surface Weapons Center, Dahlgren, VA, USA",
keywords = "arbitrary polygon; bivariate normal distribution;
integration; probability; self-intersecting polygon;
statistics; uniformly bounded N-sided simple polygons",
treatment = "T Theoretical or Mathematical",
}
@Article{Mansfield:1982:SFE,
author = "Lois Mansfield",
title = "On the solution of the finite element equations for
nonlinear shell analysis",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "4",
pages = "447--459",
month = dec,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N30 (73K25)",
MRnumber = "84a:65093",
MRreviewer = "N. Gass",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "A0260 (Numerical approximation and analysis); A0340D
(Mathematical theory of elasticity); A4630C
(Elasticity)",
corpsource = "Dept. of Appl. Maths. and Computer Sci., Univ. of
Virginia, Charlottesville, VA, USA",
keywords = "approximation theory; arch problem; classical
mechanics of continuous media; elasticity; finite
element analysis; finite element equations; mixed
formulation; multigrid method; nonlinear shell
analysis; potential energy formulation",
treatment = "T Theoretical or Mathematical",
}
@Article{Gartland:1982:DWM,
author = "E. C. {Gartland, Jr.}",
title = "Discrete weighted mean approximation of a model
convection-diffusion equation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "4",
pages = "460--472",
month = dec,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N05 (65N20 80A20)",
MRnumber = "84j:65058",
MRreviewer = "Robert Beauwens",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "A0260 (Numerical approximation and analysis); A0560
(Transport processes: theory); A4725Q (Convection and
heat transfer)",
corpsource = "Maths. Dept., Southern Methodist Univ., Dallas, TX,
USA",
keywords = "approximation theory; convection; convective-transport
equation; convergence of numerical methods; difference
equations; diffusion; discretisation; finite-difference
approximations; linear algebraic equations; model
convection-diffusion equation; stability; upwind bias",
treatment = "T Theoretical or Mathematical",
}
@Article{vanderHouwen:1982:PCG,
author = "P. J. {van der Houwen} and H. B. {de Vries}",
title = "Preconditioning and coarse grid corrections in the
solution of the initial value problem for nonlinear
partial differential equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "4",
pages = "473--485",
month = dec,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M20 (65F35)",
MRnumber = "84i:65083",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
B0290H (Linear algebra); B0290M (Numerical integration
and differentiation); B0290P (Differential equations);
C4130 (Interpolation and function approximation); C4140
(Linear algebra); C4160 (Numerical integration and
differentiation); C4170 (Differential equations)",
corpsource = "Mathematisch Centrum, Amsterdam, Netherlands",
keywords = "coarse grid corrections; convergence; convergence of
numerical methods; implicit linear multistep method;
incomplete LU-decomposition; initial value problem;
initial value problems; integration; iterative methods;
matrix algebra; method of lines; Newton type iteration;
nonlinear differential equations; nonlinear partial
differential equations; partial differential equations;
preconditioning; time-dependent partial differential
equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Zlatev:1982:CTA,
author = "Zahari Zlatev and Jerzy Wasniewski and Kjeld
Schaumburg",
title = "Comparison of two algorithms for solving large linear
systems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "4",
pages = "486--501",
month = dec,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F10 (65F05)",
MRnumber = "83k:65027",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4140 (Linear algebra)",
corpsource = "Inst. for Numerical Analysis, Tech. Univ. of Denmark,
Lyngby, Denmark",
keywords = "algorithms; augmented matrices; coefficient matrix;
Gaussian elimination; iterative methods; iterative
refinement; large drop tolerance; large linear systems;
least squares approximations; linear algebra; linear
least-squares problems; NAG subroutines; RECKU
subroutines",
treatment = "T Theoretical or Mathematical",
}
@Article{Atkinson:1982:SGI,
author = "A. C. Atkinson",
title = "The simulation of generalized inverse {Gaussian} and
hyperbolic random variables",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "4",
pages = "502--515",
month = dec,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65C10 (65U05)",
MRnumber = "84b:65011",
MRreviewer = "James E. Gentle",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C1140Z (Other topics in statistics); C7310
(Mathematics computing)",
corpsource = "Imperial Coll., London, UK",
keywords = "algorithms; digital simulation; generalised inverse
Gaussian distribution; multivariate generalized
hyperbolic distributions; probability; simulation;
statistics",
treatment = "T Theoretical or Mathematical",
}
@Article{Gutknecht:1983:NES,
author = "Martin H. Gutknecht",
title = "Numerical experiments on solving {Theodorsen}'s
integral equation for conformal maps with the fast
{Fourier} transform and various nonlinear iterative
methods",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "1",
pages = "1--30",
month = mar,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65E05 (30C30 45L10)",
MRnumber = "84c:65054",
MRreviewer = "W. Niethammer",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4150 (Nonlinear and functional equations); C4180
(Integral equations)",
corpsource = "Angewandte Math., Eidgenossische Tech. Hochschule
Zurich, Zurich, Switzerland",
keywords = "approximate mapping function; approximation theory;
conformal maps; continuation method; corners;
discretised versions; fast Fourier transform; integral
equations; iterative methods; nonlinear equations;
nonlinear integral equation; nonlinear iterative
methods; nonlinear SOR method; numerical experiments;
preliminary maps; second order Euler method;
Theodorsen's integral equation",
}
@Article{Kahaner:1983:EAQ,
author = "D. Kahaner and J. Stoer",
title = "Extrapolated adaptive quadrature",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "1",
pages = "31--44",
month = mar,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D30",
MRnumber = "84c:65041",
MRreviewer = "G. A. Evans",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4160 (Numerical integration and differentiation)",
corpsource = "Center for Appl. Math., Washington, DC, USA",
keywords = "convergence; convergence of numerical methods;
extrapolation; global adaption; input accuracy request;
integration; numerical examples; numerical quadrature;
work",
treatment = "T Theoretical or Mathematical",
}
@Article{Wang:1983:NMS,
author = "J. Y. Wang and B. S. Garbow",
title = "A numerical method for solving inverse real symmetric
eigenvalue problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "1",
pages = "45--51",
month = mar,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F15",
MRnumber = "84b:65041",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4140 (Linear algebra)",
corpsource = "Appl. Math. Div., Argonne Nat. Lab., Argonne, IL,
USA",
keywords = "convergence; convergence of numerical methods;
eigenvalues and eigenfunctions; inverse real symmetric
eigenvalue problems; iterative methods; least squares
approximations; least squares techniques; matching
algorithm; matrix algebra; Newton iteration; numerical
examples",
treatment = "T Theoretical or Mathematical",
}
@Article{Kearfott:1983:SGB,
author = "Ralph Baker Kearfott",
title = "Some general bifurcation techniques",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "1",
pages = "52--68",
month = mar,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65H10 (58C40 58E07)",
MRnumber = "84f:65047",
MRreviewer = "Eugene Allgower",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4150 (Nonlinear and functional equations)",
corpsource = "Dept. of Math., Southwestern Louisiana Univ.,
Lafayette, LA, USA",
keywords = "derivative-free arc-following method; determinant;
finite differences; Jacobi matrix; multiple bifurcation
points; nonlinear equations; primary bifurcation
points; secondary bifurcation points",
treatment = "T Theoretical or Mathematical",
}
@Article{Joe:1983:EPM,
author = "Barry Joe and Richard Bartels",
title = "An exact penalty method for constrained, discrete,
linear $\ell_{\infty }$ data fitting",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "1",
pages = "69--84",
month = mar,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65K05 (90C05)",
MRnumber = "84e:65060",
MRreviewer = "N. N. Abdelmalek",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C1180 (Optimisation techniques); C4130
(Interpolation and function approximation)",
corpsource = "Dept. Computer Sci., Univ. Waterloo, Waterloo, Ont.,
Canada",
keywords = "approximation theory; curve fitting; dense problems;
discrete approximation; exact penalty method; linear
l/sub infinity/ data fitting; linear programming;
linearly constrained approximation; penalty linear
programming; small problems",
treatment = "T Theoretical or Mathematical",
}
@Article{Dax:1983:DMD,
author = "Achiya Dax",
title = "A diagonal modification for the down dating
algorithm",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "1",
pages = "85--93",
month = mar,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F30",
MRnumber = "84b:65043",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
keywords = "computer rounding errors; diagonal modification;
diagonal positive-definite matrix; down dating
algorithm; matrix algebra; n-vector; triangular
factors; unit diagonal; upper-triangular matrix",
treatment = "T Theoretical or Mathematical",
}
@Article{Mendez:1983:NSI,
author = "R{\'a}ul M{\'e}ndez",
title = "Numerical study of incompressible flow about immersed
elastic boundaries",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "1",
pages = "94--104",
month = mar,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76C05 (35Q10 65P05 73J06 76-08 76Z05)",
MRnumber = "84d:76015",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "A0260 (Numerical approximation and analysis); A4715C
(Laminar boundary layers); A4725F (Boundary layer and
shear turbulence); A4730 (Rotational flow, vortices,
buoyancy and other flows involving body forces)",
corpsource = "Naval Postgraduate School, Monterey, CA, USA",
keywords = "boundary layers; boundary stresses; discretisation;
Euler's equations; immersed elastic boundaries;
incompressible flow; inviscid fluid; one-dimensional
tense elastic boundary; oscillatory motion; Peskin's
link formalism; point-forces; two-dimensional fluid;
vortex dipoles; vortex pairs; vortices; vorticity",
treatment = "T Theoretical or Mathematical",
}
@Article{Marchesin:1983:SGP,
author = "D. Marchesin and P. J. Paes-Leme",
title = "Shocks in gas pipelines",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "1",
pages = "105--116",
month = mar,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76N15 (65P05 76-08 76L05)",
MRnumber = "84c:76052",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "A0260 (Numerical approximation and analysis); A4740N
(Shock-wave interactions); A4760 (Flows in ducts,
channels, and conduits)",
corpsource = "Dept. de Matematica, Pontifica Univ. Catolica do RJ,
Rio de Janeiro, Brazil",
keywords = "conventional damping term; friction; gas pipelines;
Moody friction; numerical schemes; pipe flow; shock
waves; shocks; spikes; transient flow; uniform sampling
method",
treatment = "T Theoretical or Mathematical",
}
@Article{Baum:1983:FDC,
author = "Howard R. Baum and Ronald G. Rehm and P. Darcy Barnett
and Daniel M. Corley",
title = "Finite difference calculations of buoyant convection
in an enclosure. {I}. The basic algorithm",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "1",
pages = "117--135",
month = mar,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76R10 (65M05 76-08)",
MRnumber = "84h:76037",
MRreviewer = "Robert Pearson",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "A0260 (Numerical approximation and analysis); A4425
(Heat convection); A4725Q (Convection and heat