%%% -*-BibTeX-*-
%%% ====================================================================
%%% BibTeX-file{
%%% author = "Nelson H. F. Beebe",
%%% version = "2.13",
%%% date = "25 October 2007",
%%% time = "16:14:51 MDT",
%%% filename = "mathcomp1990.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 = "32317 30461 118186 1145796",
%%% email = "beebe at math.utah.edu, beebe at acm.org,
%%% beebe at computer.org (Internet)",
%%% codetable = "ISO/ASCII",
%%% keywords = "BibTeX, bibliography, Mathematics of
%%% Computation, Mathematical Tables and Aids
%%% to Computation, Mathematical Tables and
%%% Other Aids to Computation",
%%% license = "public domain",
%%% supported = "yes",
%%% docstring = "This is a COMPLETE bibliography of
%%% publications for the decade 1990--1999 in
%%% the American Mathematical Society journal
%%% Mathematics of Computation (ISSN 0025-5718
%%% (paper), ISSN 1088-6842 (electronic), CODEN
%%% MCMPAF), which began publishing in January
%%% 1960, as the successor to Mathematical
%%% Tables and Other Aids to Computation (ISSN
%%% 0891-6837, CODEN MTTCAS) (October 1943 --
%%% December 1959), which in turn succeeded
%%% Mathematical Tables and Aids to Computation
%%% (January 1943 -- July 1943).
%%%
%%% At version 2.00, the large number of
%%% publications in these journals required the
%%% splitting of the original file,
%%% mathcomp.bib, into decade-specific files,
%%% mathcomp19xy.bib, and the withdrawal of the
%%% mathcomp.* files.
%%%
%%% The journal has a World-Wide Web site at
%%%
%%% http://www.ams.org/mcom/
%%%
%%% It provides tables of contents data for
%%% 1996--date.
%%%
%%% There is also complete coverage of all
%%% journal issues with full text available to
%%% members of subscribing institutions in the
%%% JSTOR archive at
%%%
%%% http://www.jstor.org/journals/08916837.html
%%%
%%% At version 2.13, the year coverage looked
%%% like this:
%%%
%%% 1989 ( 1) 1993 ( 131) 1997 ( 146)
%%% 1990 ( 104) 1994 ( 180) 1998 ( 123)
%%% 1991 ( 104) 1995 ( 141) 1999 ( 110)
%%% 1992 ( 122) 1996 ( 165)
%%%
%%% Article: 1265
%%% InProceedings: 61
%%% Proceedings: 1
%%%
%%% Total entries: 1327
%%%
%%% This journal is unusual in that issue
%%% numbers increase uniformly, without a fixed
%%% number of issues per volume. Early volumes
%%% did not assign months, but by the 1960s,
%%% each issue included a month, although the
%%% publication month appears to be irregular.
%%% Regrettably, the MathSciNet database, which
%%% supplied the data for many of the entries
%%% below, does not record month data.
%%%
%%% The final pages of each issue are devoted
%%% to reviews, and brief (sometimes only a few
%%% lines) communications about errata in
%%% published mathematical tables. In some,
%%% the author is identified, but in others,
%%% only author initials are supplied.
%%% Bibliographic data for this end matter
%%% appears to be somewhat unreliably recorded
%%% in journal databases, even in the
%%% publisher's own MathSciNet database.
%%%
%%% Data for the bibliography has been
%%% collected from the OCLC Contents1st
%%% database, from the bibliographies in the
%%% TeX User Group collection, from
%%% bibliographies in the author's personal
%%% files, from the IEEE INSPEC CD ROM
%%% databases (1989--Sep 1996), 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.
%%%
%%% For version 2.00, data from the JSTOR
%%% database was merged in. This database
%%% provides complete page images of the entire
%%% journal, and allows full-text searching into
%%% OCR text derived from the page images.
%%%
%%% From version 2.06, data from the journal
%%% Web site is also merged in.
%%%
%%% Mathematical markup, which is required
%%% extensively in this journal, was evidently
%%% added by hand. The result is that there are
%%% frequent discrepancies between the MathSciNet
%%% and JSTOR titles; when these did not appear
%%% to be typographically similar, the original
%%% journal pages were consulted, and generally
%%% given preference. Also, JSTOR markup is
%%% generally in LaTeX2e form, while the
%%% MathSciNet markup is in plain TeX form, and
%%% often includes typographically niceties like
%%% thin spaces, which the JSTOR markup omits.
%%%
%%% The JSTOR author and title data is often
%%% missing accents; sometimes these accents
%%% appeared in the original journal text, and
%%% sometimes not. MathSciNet has the practice
%%% of supplying accents, particularly in
%%% personal names, even when they are missing
%%% from the original publication. Since the
%%% loss of accents in the latter sometimes
%%% reflected technological limitations in the
%%% journal typesetting, and since the accents
%%% are essential in the languages from which
%%% those personal names came, I have followed
%%% the MathSciNet convention, and provided
%%% accents were possible. Nevertheless, since
%%% it is not feasible for me to check every
%%% journal title page, and MathSciNet covers
%%% only about half the publications in this
%%% journal, some accents surely still remain
%%% missing.
%%%
%%% Although the JSTOR author and title data may
%%% have been derived from the OCR text of the
%%% journal pages, the need for extensive
%%% mathematical markup appears to have
%%% introduced many other errors. Whenever a
%%% discrepancy between JSTOR and MathSciNet was
%%% detected, the original journal title pages
%%% were consulted.
%%%
%%% Finally, MathSciNet has a practice of
%%% including additional information, such as
%%% journal citation and MRnumber data, in titles
%%% that comment on other articles, or for
%%% articles that are accompanied by supplements.
%%% Since this additional information is helpful,
%%% I have retained it, even though it does not
%%% appear in the original title. In retrospect,
%%% I probably should have introduced a separate
%%% MRtitle key/value pair to distinguish between
%%% them, but the effort to merge in the JSTOR
%%% data has exhausted me.
%%%
%%% Numerous errors in the sources noted above
%%% have been corrected. Spelling has been
%%% verified with the UNIX spell and GNU ispell
%%% programs using the exception dictionary
%%% stored in the companion file with extension
%%% .sok.
%%%
%%% 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
%%% count) utility output of lines, words, and
%%% characters. This is produced by Robert
%%% Solovay's checksum utility.",
%%% }
%%% ====================================================================
%% \ocirc is a ring-on-top accent
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"\ifx \ocirc \undefined \def \ocirc #1{{\accent'27#1}}\fi" #
"\ifx \mathbb \undefined \def \mathbb #1{{\bf #1}}\fi" #
"\hyphenation{
Gran-ville
Hag-strom
Le-Veque
Maz-zia
Per-th-a-me
Rich-ard
Schmeiss-er
}"
}
%%% ====================================================================
%%% 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| (Internet),
URL: \path|http://www.math.utah.edu/~beebe/|"}
%%% ====================================================================
%%% Journal abbreviations:
@String{j-MATH-COMPUT = "Mathematics of Computation"}
%%% ====================================================================
%%% Publisher abbreviations:
@String{pub-AMS = "American Mathematical Society"}
@String{pub-AMS:adr = "Providence, RI, USA"}
%%% ====================================================================
%%% Bibliography entries. This journal has appeared quarterly since
%%% volume 1 in 1943 up to 1980, so missing month information has been
%%% supplied according to the following table:
%%%
%%% Number Month
%%% 4n+1 jan
%%% 4n+2 apr
%%% 4n+3 jul
%%% 4n oct
%%%
%%% From 1980 to 1994, there were two volumes each year.
%%%
%%% A few entries from years outside the 1990s are included to satisfy
%%% cross references.
@Article{Morain:1989:DEP,
author = "Fran{\c{c}}ois Morain",
title = "On the $\operatorname{lcm}$ of the Differences of
Eight Primes",
journal = j-MATH-COMPUT,
volume = "52",
number = "185",
pages = "225--229",
month = jan,
year = "1989",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11A41 (11A07 11Y05)",
MRnumber = "92a:11011a",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
note = "See corrigenda \cite{Morain:1990:CLD}.",
acknowledgement = ack-nhfb,
classcodes = "C1160 (Combinatorial mathematics)",
corpsource = "Dept. de Math., Limoges Univ., France",
keywords = "8-tuple conjecture; differences; eight primes; lcm;
number theory",
treatment = "T Theoretical or Mathematical",
}
@Article{Suri:1990:SCH,
author = "Manil Suri",
title = "On the Stability and Convergence of Higher-Order Mixed
Finite Element Methods for Second-Order Elliptic
Problems",
journal = j-MATH-COMPUT,
volume = "54",
number = "189",
pages = "1--19",
month = jan,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30 (65N10)",
MRnumber = "90e:65164",
MRreviewer = "A. O. Garder",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4100 (Numerical analysis)",
corpsource = "INRIA, Rocquencourt, France",
keywords = "asymptotic; Brezzi-Douglas-Marini; convergence;
convergence of numerical methods; convergence rates;
elements; estimates; finite element analysis;
higher-order mixed finite element; mesh size; methods;
polynomial degree; Raviart-Thomas; second-order
elliptic problems; stability estimates",
treatment = "T Theoretical or Mathematical",
}
@Article{Bernardi:1990:CFE,
author = "Christine Bernardi and Na{\"i}ma Debit and Yvon
Maday",
title = "Coupling Finite Element and Spectral Methods: First
Results",
journal = j-MATH-COMPUT,
volume = "54",
number = "189",
pages = "21--39",
month = jan,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30",
MRnumber = "90f:65201",
MRreviewer = "David F. Griffiths",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation);
C4110 (Error analysis in numerical methods)",
corpsource = "ICASE, NASA Langley Res. Center, Hampton, VA, USA",
keywords = "analysis; approximation theory; conditions; element
approximation; error analysis; error estimates; finite;
finite element; interface; matching; Poisson equation;
proof; rectangular domain; spectral discretization;
squares",
treatment = "T Theoretical or Mathematical",
}
@Article{Li:1990:ESA,
author = "Zi-Cai Li and Rudolf Mathon",
title = "Error and Stability Analysis of Boundary Methods for
Elliptic Problems with Interfaces",
journal = j-MATH-COMPUT,
volume = "54",
number = "189",
pages = "41--61",
month = jan,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N10 (65N30)",
MRnumber = "90m:65182",
MRreviewer = "A. O. Garder",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation);
C4110 (Error analysis in numerical methods); C4140
(Linear algebra)",
corpsource = "Centre de Recherche Inf. de Montreal Inc., Que.,
Canada",
keywords = "algebraic problem; approximate solutions;
approximation theory; boundary methods;
boundary-elements methods; coefficient matrices;
condition numbers; convergence; elliptic problems;
error analysis; error norm bounds; interface problem;
matrix algebra; numerical experiments; of numerical
methods; partitions; stability analysis; subdomains",
treatment = "T Theoretical or Mathematical",
}
@Article{Duran:1990:WIS,
author = "Ricardo G. Dur{\'a}n and Ricardo H. Nochetto",
title = "Weighted inf-sup condition and pointwise error
estimates for the {Stokes} problem",
journal = j-MATH-COMPUT,
volume = "54",
number = "189",
pages = "63--79",
month = jan,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30 (65N15 76-08 76D07)",
MRnumber = "90f:65203",
MRreviewer = "Long An Ying",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "A0260 (Numerical approximation and analysis); A4710
(General theory, simulation and other computational
methods); C4130 (Interpolation and function
approximation); C4110 (Error analysis in numerical
methods)",
corpsource = "Dept. de Matematica, La Plata Univ., Argentina",
keywords = "approximation theory; Babu{\v{s}}ka-Brezzi condition;
condition; convergence; convergence of numerical
methods; discrete spaces; energy norm; error analysis;
finite element analysis; finite element approximations;
fluid dynamics; Hood finite element; maximum norm;
mixed; primitive; quasi-optimal pointwise error
estimates; Stokes problem; Taylor-; variables; weighted
inf-sup",
treatment = "T Theoretical or Mathematical",
}
@Article{Richter:1990:FEM,
author = "Gerard R. Richter",
title = "A Finite Element Method for Time-Dependent
Convection-Diffusion Equations",
journal = j-MATH-COMPUT,
volume = "54",
number = "189",
pages = "81--106",
month = jan,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30 (76-08 76Rxx)",
MRnumber = "90g:65152",
MRreviewer = "Manfred Dobrowolski",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "A0260 (Numerical approximation and analysis); A4725Q
(Convection and heat transfer); C4130 (Interpolation
and function approximation)",
corpsource = "Dept. of Comput. Sci., Rutgers Univ., New Brunswick,
NJ, USA",
keywords = "approximation theory; convection; diffusion;
equations; error analysis; error estimates; explicit;
finite element analysis; finite element method;
hyperbolic equations; limit of zero; piecewise
polynomials; time-dependent convection-diffusion",
treatment = "T Theoretical or Mathematical",
}
@Article{Johnson:1990:CSC,
author = "Claes Johnson and Anders Szepessy and Peter Hansbo",
title = "On the Convergence of Shock-Capturing Streamline
Diffusion Finite Element Methods for Hyperbolic
Conservation Laws",
journal = j-MATH-COMPUT,
volume = "54",
number = "189",
pages = "107--129",
month = jan,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M60 (35L65 76L05)",
MRnumber = "90j:65118",
MRreviewer = "Alain Yves le Roux",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "A4725Q (Convection and heat transfer); A0260
(Numerical approximation and analysis); A0560
(Transport processes: theory)",
corpsource = "Dept. of Math., Goteborg Univ., UK",
keywords = "absolute value; analysis; artificial viscosity;
Burgers equation; compressible Euler equations;
convergence; convergence of numerical methods;
convergence theorems; diffusion; entropy inequality;
entropy variables; finite element; finite element
solution; heat transfer; hyperbolic conservation laws;
local; maximum norm bound; mesh; proof; rectifiable
contour; residual; shock-capturing streamline diffusion
finite element methods; size; theorem proving;
time-dependent; two dimensions",
treatment = "T Theoretical or Mathematical",
}
@Article{Tsuchiya:1990:NDS,
author = "Takuya Tsuchiya",
title = "A note on discrete solutions of the {Plateau}
problem",
journal = j-MATH-COMPUT,
volume = "54",
number = "189",
pages = "131--138",
month = jan,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "49Q05 (65E05 65N30)",
MRnumber = "91c:49063",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "A0240 (Geometry, differential geometry, and topology);
C4100 (Numerical analysis)",
corpsource = "Dept. of Math., Maryland Univ., College Park, MD,
USA",
keywords = "convergence of numerical methods; discrete solutions;
Plateau problem; topology",
treatment = "T Theoretical or Mathematical",
}
@Article{Yan:1990:CMF,
author = "Yi Yan",
title = "The Collocation Method for First-Kind Boundary
Integral Equations on Polygonal Regions",
journal = j-MATH-COMPUT,
volume = "54",
number = "189",
pages = "139--154",
month = jan,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N35 (65R20)",
MRnumber = "90g:65155",
MRreviewer = "A. Quarteroni",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4180 (Integral equations); C4130 (Interpolation and
function approximation); C4110 (Error analysis in
numerical methods)",
corpsource = "Center for Comput. Sci., Kentucky Univ., Lexington,
KY, USA",
keywords = "asymptotic error estimates; boundaries;
boundary-elements methods; collocation method;
convergence of numerical methods; equivalent; error
analysis; first-kind boundary integral equations;
Fredholm equation; integral equations; interpolation;
interpolation projection; L/sub 2/ norm; piecewise
constant trial functions; polygonal; polygonal regions;
projection method; second-kind; single layer potential;
superconvergence results; uniform mesh",
treatment = "T Theoretical or Mathematical",
}
@Article{Wei:1990:NAI,
author = "Yuan Wei and Tang Tao",
title = "The Numerical Analysis of Implicit {Runge--Kutta}
Methods for a Certain Nonlinear Integro-Differential
Equation",
journal = j-MATH-COMPUT,
volume = "54",
number = "189",
pages = "155--168",
month = jan,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65R20",
MRnumber = "90i:65251",
MRreviewer = "Gheorghe Micula",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4170 (Differential equations); C4180 (Integral
equations); C1120 (Analysis); C4130 (Interpolation and
function approximation)",
corpsource = "Dept. of Math., Peking Univ., China",
keywords = "approximate solution; approximation theory; equations;
existence; implicit Runge--Kutta methods;
integro-differential equation; integro-differential
equations; model; nonlinear; numerical analysis;
numerical methods; optimal approximation order;
Runge--Kutta methods; turbulent diffusion; uniqueness",
treatment = "T Theoretical or Mathematical",
}
@Article{Chui:1990:BQF,
author = "Charles K. Chui and Tian Xiao He",
title = "Bivariate ${C}^1$ quadratic finite elements and vertex
splines",
journal = j-MATH-COMPUT,
volume = "54",
number = "189",
pages = "169--187",
month = jan,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D07 (41A15 41A63 65N30)",
MRnumber = "90e:65012",
MRreviewer = "Johannes Elschner",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Math., Texas A and M Univ., College Station,
TX, USA",
keywords = "(mathematics); Bezier nets; bivariate; bivariate C/sup
1/ quadratic finite elements; C/sup 1/ quadratic vertex
splines; edges; finite element analysis; first partial
derivative; interpolation; medians; midpoints; normal
derivatives; polygonal; polynomials; quadratic
polynomials; region; splines; triangle; triangular
cell; values; vector space; vertices",
treatment = "T Theoretical or Mathematical",
}
@Article{Buffoni:1990:NSS,
author = "Giuseppe Buffoni",
title = "Nonnegative and skew-symmetric perturbations of a
matrix with positive inverse",
journal = j-MATH-COMPUT,
volume = "54",
number = "189",
pages = "189--194",
month = jan,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65F10 (15A09 15A12 15A48)",
MRnumber = "90g:65038",
MRreviewer = "Pradeep Misra",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4140 (Linear algebra); C1110 (Algebra)",
corpsource = "ENEA, CREA, La Spezia, Italy",
keywords = "algorithm; matrix algebra; non-negative matrix;
nonnegative perturbations; nonsingular matrix; positive
definite; positive inverse; skew-symmetric
perturbations",
treatment = "T Theoretical or Mathematical",
}
@Article{Hasegawa:1990:ABF,
author = "Takemitsu Hasegawa and Tatsuo Torii and Hiroshi
Sugiura",
title = "An Algorithm Based on the {FFT} for a Generalized
{Chebyshev} Interpolation",
journal = j-MATH-COMPUT,
volume = "54",
number = "189",
pages = "195--210",
month = jan,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D05 (41A55 42A15 65D30 65T20)",
MRnumber = "91c:65009",
MRreviewer = "V{\'\i}t{\u{e}}zslav Vesel{\'y}",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation);
C1130 (Integral transforms); C4190 (Other numerical
methods)",
corpsource = "Fac. of Eng., Fukui Univ., Japan",
keywords = "algorithm; Chebyshev approximation; fast Fourier
transforms; FFT; generalized Chebyshev interpolation;
interpolation; points; real sequence; sample",
treatment = "T Theoretical or Mathematical",
}
@Article{Madych:1990:MIC,
author = "W. R. Madych and S. A. Nelson",
title = "Multivariate Interpolation and Conditionally Positive
Definite Functions. {II}",
journal = j-MATH-COMPUT,
volume = "54",
number = "189",
pages = "211--230",
month = jan,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "41A15",
MRnumber = "90e:41007",
MRreviewer = "L. L. Schumaker",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation);
C1130 (Integral transforms); C4110 (Error analysis in
numerical methods)",
corpsource = "Dept. of Math., Connecticut Univ., Storrs, CT, USA",
keywords = "conditionally positive definite functions; error
analysis; error estimates; Fourier transform; Fourier
transforms; interpolation; multiquadrics;
multivariate",
treatment = "T Theoretical or Mathematical",
}
@Article{Carnicer:1990:EMP,
author = "J. Carnicer and M. Gasca",
title = "Evaluation of Multivariate Polynomials and Their
Derivatives",
journal = j-MATH-COMPUT,
volume = "54",
number = "189",
pages = "231--243",
month = jan,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "12-04 (68Q20 68Q40 68R10)",
MRnumber = "90h:12001",
MRreviewer = "F. J. van der Linden",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation);
C1160 (Combinatorial mathematics); C1110 (Algebra)",
corpsource = "Dept. de Matematica Aplicada, Zaragoza Univ., Spain",
keywords = "approximation theory; derivatives; graph; Horner
algorithm; multivariate polynomials; polynomials;
trees; trees (mathematics)",
treatment = "T Theoretical or Mathematical",
}
@Article{Rahman:1990:QFF,
author = "Qazi I. Rahman and Gerhard Schmeisser",
title = "Quadrature Formulae and Functions of Exponential
Type",
journal = j-MATH-COMPUT,
volume = "54",
number = "189",
pages = "245--270",
month = jan,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D32",
MRnumber = "90g:65028",
MRreviewer = "Stephen W. Brady",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4160 (Numerical integration and differentiation);
C1120 (Analysis)",
corpsource = "Dept. of Math. et Stat., Montreal Univ., Que.,
Canada",
keywords = "approximating series; Boas; convergence; derivatives;
equivalent; Euler-Maclaurin formula; existence;
exponential functions; improper; infinite intervals;
integral; integration; quadrature formulae; Schaeffer;
trapezoidal rule",
treatment = "T Theoretical or Mathematical",
}
@Article{Rabinowitz:1990:GNR,
author = "Philip Rabinowitz",
title = "Generalized Noninterpolatory Rules for {Cauchy}
Principal Value Integrals",
journal = j-MATH-COMPUT,
volume = "54",
number = "189",
pages = "271--279",
month = jan,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D30",
MRnumber = "91a:65055",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290R (Integral equations); C4180 (Integral
equations)",
corpsource = "Dept. of Appl. Math. and Comput. Sci., Weizmann Inst.
of Sci., Rehovot, Israel",
keywords = "approximations; Cauchy principal value; convergence of
numerical methods; convergence questions; generalised
noninterpolatory rules; inner products; integral
equations; integrals; weight function",
treatment = "T Theoretical or Mathematical",
}
@Article{Sloan:1990:CSR,
author = "Ian H. Sloan and Linda Walsh",
title = "A computer search of rank-$2$ lattice rules for
multidimensional quadrature",
journal = j-MATH-COMPUT,
volume = "54",
number = "189",
pages = "281--302",
month = jan,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D32",
MRnumber = "91a:65061",
MRreviewer = "Hans Strauss",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290R (Integral equations); C4180 (Integral
equations)",
corpsource = "Sch. of Math., New South Wales Univ., Kensington, NSW,
Australia",
keywords = "computer search; integral equations; multidimensional;
multidimensional integrals; numerical evaluation;
quadrature; rank-2 lattice rules",
treatment = "T Theoretical or Mathematical",
}
@Article{Niederreiter:1990:LRM,
author = "Harald Niederreiter and Ian H. Sloan",
title = "Lattice Rules for Multiple Integration and
Discrepancy",
journal = j-MATH-COMPUT,
volume = "54",
number = "189",
pages = "303--312",
month = jan,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D32 (11H06 11K38)",
MRnumber = "90f:65036",
MRreviewer = "Dumitru Acu",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290R (Integral equations); C4180 (Integral
equations)",
corpsource = "Inst. for Inf. Process., Austrian Acad. of Sci.,
Vienna, Austria",
keywords = "discrepancy; integral equations; lattice rules; lower
bounds; multiple integration; numerical integration;
upper bounds",
treatment = "T Theoretical or Mathematical",
}
@Article{Berger:1990:ACF,
author = "Alan E. Berger",
title = "Accurate Calculation of Functions Used in a Model of
the Nematic Behavior of Self-Assembling Systems",
journal = j-MATH-COMPUT,
volume = "54",
number = "189",
pages = "313--330",
month = jan,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D20 (65B10 82A57)",
MRnumber = "90j:65037",
MRreviewer = "Alan M. Cohen",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "A6130B (Molecular theories of liquid crystals)",
corpsource = "Naval Surface Warfare Center, Silver Spring, MD, USA",
keywords = "approximations; assembling systems; crystals; double
sums; Euler-Maclaurin sum formula; liquid crystal phase
transformations; liquid crystalline phase behaviour;
nematic behavior; nematic liquid; self-; surfactant
solutions",
treatment = "T Theoretical or Mathematical",
}
@Article{Fishman:1990:MCR,
author = "George S. Fishman",
title = "Multiplicative Congruential Random Number Generators
with Modulus $2^\beta$: An Exhaustive Analysis for
$\beta \simeq 32$ and a Partial Analysis for $\beta
\simeq 48$",
journal = j-MATH-COMPUT,
volume = "54",
number = "189",
pages = "331--344",
month = jan,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65C10 (11K45)",
MRnumber = "91e:65012",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics)",
keywords = "exhaustive analysis; multiplicative congruential
random number generators; optimal maximal; parallel
hyperplanes; partial analysis; period multipliers;
random number generation",
treatment = "T Theoretical or Mathematical",
}
@Article{Blecksmith:1990:MRI,
author = "Richard Blecksmith and John Brillhart and Irving
Gerst",
title = "On the $\bmod 2$ Reciprocation of Infinite
Modular-Part Products and the Parity of Certain
Partition Functions",
journal = j-MATH-COMPUT,
volume = "54",
number = "189",
pages = "345--376",
month = jan,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "05A17 (05A30)",
MRnumber = "90g:05025",
MRreviewer = "Dennis White",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics)",
corpsource = "Dept. of Math. Sci., Northern Illinois Univ., DeKalb,
IL, USA",
keywords = "graph-theoretic; infinite modular-; interpretation;
mathematics computing; mod 2 reciprocation; modular
part product; parity; part products; partition
functions; single-variable Jacobi triple product",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Borwein:1990:SQE,
author = "Peter B. Borwein and Terry A. Loring",
title = "Some Questions of {Erd{\H{o}}s} and {Graham} on
Numbers of the Form $\sum g_n/2^{g_n}$",
journal = j-MATH-COMPUT,
volume = "54",
number = "189",
pages = "377--394",
month = jan,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11A63 (11-04 11D68 11K16)",
MRnumber = "90e:11020",
MRreviewer = "W. A. Webb",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0250 (Combinatorial mathematics); C1160
(Combinatorial mathematics)",
corpsource = "Dept. of Math., Stat. and Comput., Dalhousie Univ.,
Halifax, NS, Canada",
keywords = "greedy algorithm; number theory",
treatment = "T Theoretical or Mathematical",
}
@Article{Cohen:1990:IID,
author = "Graeme L. Cohen",
title = "On an Integer's Infinitary Divisors",
journal = j-MATH-COMPUT,
volume = "54",
number = "189",
pages = "395--411",
month = jan,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11A25 (11A05)",
MRnumber = "90e:11011",
MRreviewer = "Jean-Marie De Koninck",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0250 (Combinatorial mathematics); C1160
(Combinatorial mathematics)",
corpsource = "Sch. of Math. Sci., Univ. of Technol., Sydney, NSW,
Australia",
keywords = "aliquot sequences; biunitary; divisor; integer
infinitary divisor; k-ary divisors; number theory;
unitary divisor",
treatment = "T Theoretical or Mathematical",
}
@Article{Edixhoven:1990:ECR,
author = "Bas Edixhoven and Arnold {de Groot} and Jaap Top",
title = "Elliptic Curves Over the Rationals with Bad Reduction
at Only One Prime",
journal = j-MATH-COMPUT,
volume = "54",
number = "189",
pages = "413--419",
month = jan,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11G05 (11D25)",
MRnumber = "90g:11068",
MRreviewer = "Yurey A. Drakokhrust",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0250 (Combinatorial mathematics); C1160
(Combinatorial mathematics)",
corpsource = "Math. Inst., Utrecht Univ., Netherlands",
keywords = "additive; bad reduction; elliptic curves; number
theory; prime; rationals; reduction",
treatment = "T Theoretical or Mathematical",
}
@Article{Bosma:1990:AM,
author = "Wieb Bosma",
title = "Approximation by Mediants",
journal = j-MATH-COMPUT,
volume = "54",
number = "189",
pages = "421--434",
month = jan,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11K50 (11J70)",
MRnumber = "90m:11119",
MRreviewer = "G. Ramharter",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0250 (Combinatorial mathematics); C1160
(Combinatorial mathematics)",
corpsource = "Dept. of Math., Sydney Univ., NSW, Australia",
keywords = "approximation; continued fraction convergents;
distribution; intermediate; mediants; number theory",
treatment = "T Theoretical or Mathematical",
}
@Article{Shoup:1990:NAF,
author = "Victor Shoup",
title = "New Algorithms for Finding Irreducible Polynomials
Over Finite Fields",
journal = j-MATH-COMPUT,
volume = "54",
number = "189",
pages = "435--447",
month = jan,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11T06 (11Y16)",
MRnumber = "90j:11135",
MRreviewer = "Melvin M. Sweet",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "AT\&T Bell Labs., Murray Hill, NJ, USA",
keywords = "algorithms; factoring; finite fields; irreducible
polynomials; polynomials",
treatment = "T Theoretical or Mathematical",
}
@Article{Denert:1990:GZF,
author = "M. Denert",
title = "The Genus Zeta Function of Hereditary Orders in
Central Simple Algebras Over Global Fields",
journal = j-MATH-COMPUT,
volume = "54",
number = "189",
pages = "449--465",
month = jan,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11R54 (16A18)",
MRnumber = "90e:11178",
MRreviewer = "Juliusz Brzezi{\'n}ski",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "State Univ., Ghent, Belgium",
keywords = "algebras; central simple; Euler product; genus zeta
function; global fields; hereditary orders; linear
algebra",
treatment = "T Theoretical or Mathematical",
}
@Article{Just:1990:IRA,
author = "Bettina Just",
title = "Integer Relations Among Algebraic Numbers",
journal = j-MATH-COMPUT,
volume = "54",
number = "189",
pages = "467--477",
month = jan,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11R04 (11Y40 68Q25 68Q40)",
MRnumber = "90e:11154",
MRreviewer = "A. K. Lenstra",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
B0250 (Combinatorial mathematics); C4130 (Interpolation
and function approximation); C1160 (Combinatorial
mathematics)",
corpsource = "Johann Wolfgang Goethe-Univ., Frankfurt, West
Germany",
keywords = "algebraic numbers; Euclidean length; integer
relations; minimal polynomial; number theory;
polynomials",
treatment = "T Theoretical or Mathematical",
}
@Article{Scott:1990:FEI,
author = "L. Ridgway Scott and Shangyou Zhang",
title = "Finite element interpolation of nonsmooth functions
satisfying boundary conditions",
journal = j-MATH-COMPUT,
volume = "54",
number = "190",
pages = "483--493",
month = apr,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D05 (65N30)",
MRnumber = "90j:65021",
MRreviewer = "Qian Li",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
B0290B (Error analysis in numerical methods); C4130
(Interpolation and function approximation); C4110
(Error analysis in numerical methods)",
corpsource = "Dept. of Math., Pennsylvania State Univ., University
Park, PA, USA",
keywords = "approximate; approximation; boundary conditions;
continuous piecewise polynomials; error analysis; FEM;
finite element analysis; function; functions;
interpolation; Lagrange type interpolation operator;
modified; nonsmooth functions; optimal error estimates;
polynomials; projection error; Sobolev spaces",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Stenberg:1990:EAS,
author = "Rolf Stenberg",
title = "Error analysis of some finite element methods for the
{Stokes} problem",
journal = j-MATH-COMPUT,
volume = "54",
number = "190",
pages = "495--508",
month = apr,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30 (65N15)",
MRnumber = "90h:65189",
MRreviewer = "Long An Ying",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); B0290B (Error
analysis in numerical methods); C4170 (Differential
equations); C4110 (Error analysis in numerical
methods)",
corpsource = "INRIA, Le Chesnay, France",
keywords = "2D methods; convergence; convergence of numerical
methods; element analysis; elements; error analysis;
finite; finite element; macroelement technique;
methods; optimal order; partial differential equations;
quadrilateral; Stokes equations; Taylor-Hood",
treatment = "T Theoretical or Mathematical",
}
@Article{Chou:1990:CNW,
author = "S. H. Chou and Q. Li",
title = "Convergence of the nonconforming {Wilson} element for
a class of nonlinear parabolic problems",
journal = j-MATH-COMPUT,
volume = "54",
number = "190",
pages = "509--524",
month = apr,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30",
MRnumber = "90i:65192",
MRreviewer = "Ervin Schechter",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); B0290B (Error
analysis in numerical methods); C4170 (Differential
equations); C4110 (Error analysis in numerical
methods)",
corpsource = "Dept. of Math., Bowling Green State Univ., OH, USA",
keywords = "continuous time; convergence of numerical methods;
convergence properties; differential equations; element
analysis; error analysis; error estimates; finite;
Galerkin approximations; nonconforming Wilson element;
nonlinear differential equations; nonlinear parabolic
problems; partial; rectangular meshes;
superconvergence",
treatment = "T Theoretical or Mathematical",
}
@Article{Wade:1990:SFD,
author = "Bruce A. Wade",
title = "Symmetrizable Finite Difference Operators",
journal = j-MATH-COMPUT,
volume = "54",
number = "190",
pages = "525--543",
month = apr,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M10",
MRnumber = "90j:65114",
MRreviewer = "John C. Strikwerda",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Math. Sci. Inst., Cornell Univ., Ithaca, NY, USA",
keywords = "conditions; convergence of numerical methods;
difference equations; dissipative difference schemes;
equations; hyperbolic; sufficient; symmetrizable finite
difference operator",
treatment = "T Theoretical or Mathematical",
}
@Article{Cockburn:1990:RKL,
author = "Bernardo Cockburn and Suchung Hou and Chi-Wang Shu",
title = "The {Runge--Kutta} local projection discontinuous
{Galerkin} finite element method for conservation laws.
{IV}. The multidimensional case",
journal = j-MATH-COMPUT,
volume = "54",
number = "190",
pages = "545--581",
month = apr,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M60 (35L65 65N30)",
MRnumber = "90k:65162",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); B0290H (Linear
algebra); C4170 (Differential equations); C4140 (Linear
algebra)",
corpsource = "Sch. of Math., Minnesota Univ., Minneapolis, MN, USA",
keywords = "2D method; boundary; conditions; conservation laws;
finite element analysis; Galerkin finite element
method; general triangulations; initial value;
initial-boundary value problems; matrix algebra;
maximum principles; multidimensional case; numerical
results; partial differential equations; performance;
problems; Runge--Kutta local projection discontinuous;
Runge--Kutta methods",
treatment = "T Theoretical or Mathematical",
}
@Article{Kvaerno:1990:RKM,
author = "Anne Kv{\ae}rn{\o}",
title = "{Runge--Kutta} methods applied to fully implicit
differential-algebraic equations of index $1$",
journal = j-MATH-COMPUT,
volume = "54",
number = "190",
pages = "583--625",
month = apr,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L06",
MRnumber = "91g:65177",
MRreviewer = "G. Hall",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); B0290B (Error
analysis in numerical methods); C4170 (Differential
equations); C4110 (Error analysis in numerical
methods)",
corpsource = "Div. of Math. Sci., Norwegian Inst. of Technol.,
Trondheim, Norway",
keywords = "convergence of numerical methods; convergence result;
differential equations; equations; error analysis;
fully implicit differential-algebraic; general order
conditions; global error; numerical experiments;
Runge--Kutta methods",
treatment = "T Theoretical or Mathematical",
}
@Article{Bojanov:1990:CBT,
author = "Borislav Bojanov and Geno Nikolov",
title = "Comparison of {Birkhoff} Type Quadrature Formulae",
journal = j-MATH-COMPUT,
volume = "54",
number = "190",
pages = "627--648",
month = apr,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D30 (41A55)",
MRnumber = "91e:65034",
MRreviewer = "Helmut Brass",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290M (Numerical integration and differentiation);
B0290H (Linear algebra); B0290B (Error analysis in
numerical methods); C4160 (Numerical integration and
differentiation); C4140 (Linear algebra); C4110 (Error
analysis in numerical methods)",
corpsource = "Dept. of Math., Sofia Univ., Bulgaria",
keywords = "algebraic degree of; Birkhoff type quadrature
formulae; error; error analysis; integration; matrix
algebra; precision",
treatment = "T Theoretical or Mathematical",
}
@Article{Sloan:1990:LRP,
author = "I. H. Sloan and J. N. Lyness",
title = "Lattice rules: projection regularity and unique
representations",
journal = j-MATH-COMPUT,
volume = "54",
number = "190",
pages = "649--660",
month = apr,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D32",
MRnumber = "91a:65062",
MRreviewer = "Hans Strauss",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290M (Numerical integration and differentiation);
B0290H (Linear algebra); C4160 (Numerical integration
and differentiation); C4140 (Linear algebra)",
corpsource = "Sch. of Math., New South Wales Univ., Sydney, NSW,
Australia",
keywords = "integration; lattice; matrix algebra; numerical
integration; projection regularity; rules; unique
representations",
treatment = "T Theoretical or Mathematical",
}
@Article{Baur:1990:BAC,
author = "Gerhard Baur and Bruce Shawyer",
title = "Best {$L^2$}-approximation of convergent moment
series",
journal = j-MATH-COMPUT,
volume = "54",
number = "190",
pages = "661--669",
month = apr,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "40A25 (41A10 65B10)",
MRnumber = "90i:40004",
MRreviewer = "G{\"u}nther N{\"u}rnberger",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); B0220 (Analysis); C1110 (Algebra);
C1120 (Analysis)",
corpsource = "Abteilung Math., Ulm Univ., West Germany",
keywords = "all moment; best approximation; convergent moment
series; matrix algebra; sequence-to-sequence
transformation; series; series (mathematics)",
treatment = "T Theoretical or Mathematical",
}
@Article{Elman:1990:IMC,
author = "Howard C. Elman and Gene H. Golub",
title = "Iterative methods for cyclically reduced
non-self-adjoint linear systems",
journal = j-MATH-COMPUT,
volume = "54",
number = "190",
pages = "671--700",
month = apr,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65F10 (65N22)",
MRnumber = "91b:65036",
MRreviewer = "Harry Yserentant",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Dept. of Comput. Sci., Maryland Univ., College Park,
MD, USA",
keywords = "analytic bounds; block iterative technique; cell
Reynolds numbers; convection-diffusion equation;
convergence of numerical methods; cyclically reduced
non-self-adjoint linear systems; differential
equations; elliptic partial; iterative methods; linear
systems; numerical experiments; partial;
rapidly-convergent; reordering; spectral radii",
treatment = "T Theoretical or Mathematical",
}
@Article{Bruaset:1990:SRI,
author = "A. M. Bruaset and A. Tveito and R. Winther",
title = "On the stability of relaxed incomplete ${LU}$
factorizations",
journal = j-MATH-COMPUT,
volume = "54",
number = "190",
pages = "701--719",
month = apr,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65F10 (15A23 65N20)",
MRnumber = "90h:65047",
MRreviewer = "Stavros A. Belbas",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Dept. of Inf., Oslo Univ., Norway",
keywords = "boundary-value problems; convergence of numerical
methods; elliptic boundary value problems; experiments;
iterative; iterative methods; large; linear systems;
methods; numerical; partial differential equations;
preconditioners; relaxation parameter; relaxed
incomplete LU factorizations; stability",
treatment = "T Theoretical or Mathematical",
}
@Article{Rump:1990:RSA,
author = "Siegfried M. Rump",
title = "Rigorous sensitivity analysis for systems of linear
and nonlinear equations",
journal = j-MATH-COMPUT,
volume = "54",
number = "190",
pages = "721--736",
month = apr,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65G10 (65G05 65H10)",
MRnumber = "91h:65072",
MRreviewer = "Miodrag Petkovi{\'c}",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290K (Nonlinear and functional equations); C4150
(Nonlinear and functional equations)",
corpsource = "Tech. Univ., Hamburg, West Germany",
keywords = "automatic error control mechanism; componentwise
sensitivity analysis; convergence of numerical methods;
input data; nonlinear equations; numerical; problems;
sensitivity analysis; solution vector",
treatment = "T Theoretical or Mathematical",
}
@Article{Andre:1990:FMD,
author = "Debra A. Andr{\'e} and Gary L. Mullen and Harald
Niederreiter",
title = "Figures of merit for digital multistep pseudorandom
numbers",
journal = j-MATH-COMPUT,
volume = "54",
number = "190",
pages = "737--748",
month = apr,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65C10",
MRnumber = "91d:65012",
MRreviewer = "Istv{\'a}n D{\'e}ak",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C5230 (Digital arithmetic methods); C7310
(Mathematics)",
corpsource = "Pennsylvania State Univ., University Park, PA, USA",
keywords = "characteristic polynomial; digital multistep
pseudorandom numbers; figure of merit; independence;
polynomials; random number generation; recursion;
statistical; statistical independence properties",
treatment = "T Theoretical or Mathematical",
}
@Article{Duijvestijn:1990:SNP,
author = "A. J. W. Duijvestijn and B. Helthuis",
title = "Some new polyhedra with vertex degree 4 and\slash or 5
only",
journal = j-MATH-COMPUT,
volume = "54",
number = "190",
pages = "749--753",
month = apr,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "68R10 (05C99)",
MRnumber = "90k:68135",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0250 (Combinatorial mathematics); C1160
(Combinatorial mathematics)",
corpsource = "Dept. of Comput. Sci., Twente Univ., Enschede,
Netherlands",
keywords = "ancestor graph; graph theory; low-order wheels;
polyhedra; reference graph",
treatment = "T Theoretical or Mathematical",
}
@Article{Wan:1990:FMP,
author = "Daqing Wan",
title = "Factoring multivariate polynomials over large finite
fields",
journal = j-MATH-COMPUT,
volume = "54",
number = "190",
pages = "755--770",
month = apr,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11T06 (12-04 68Q40)",
MRnumber = "90i:11141",
MRreviewer = "Joachim von zur Gathen",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation); C4240
(Programming and algorithm theory)",
corpsource = "Dept. of Math., Washington Univ., Seattle, WA, USA",
keywords = "bivariate polynomial; computational complexity;
exponential sums; factors; irreducible; large finite
fields; permutational polynomials; polynomials;
probabilistic algorithm",
treatment = "T Theoretical or Mathematical",
}
@Article{Hanlon:1990:CDB,
author = "Phil Hanlon and David Wales",
title = "Computing the discriminants of {Brauer}'s centralizer
algebras",
journal = j-MATH-COMPUT,
volume = "54",
number = "190",
pages = "771--796",
month = apr,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "20G20 (20C30)",
MRnumber = "90k:20076",
MRreviewer = "A. O. Morris",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290H (Linear algebra); B0250 (Combinatorial
mathematics); C4140 (Linear algebra); C1160
(Combinatorial mathematics)",
corpsource = "Dept. of Math., Michigan Univ., Ann Arbor, MI, USA",
keywords = "centralizer algebras; combinatorially defined
matrices; computational problem; group theory; matrix
algebra; representation theory; structure; symmetric
groups; symmetry; theory",
treatment = "T Theoretical or Mathematical",
}
@Article{Teitelbaum:1990:CCR,
author = "Jeremy Teitelbaum",
title = "The computational complexity of the resolution of
plane curve singularities",
journal = j-MATH-COMPUT,
volume = "54",
number = "190",
pages = "797--837",
month = apr,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "14B05 (14-04 14H20 68Q25)",
MRnumber = "90j:14007",
MRreviewer = "Felipe Cucker",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4240 (Programming and algorithm theory); C1160
(Combinatorial mathematics)",
keywords = "bounded; computational complexity; computational
geometry; conductor ideal; deformation theory;
k-operations; plane curve; polynomially; polynomials;
power series; reduced rings; resolution; series
(mathematics); singularities; zero divisors",
treatment = "T Theoretical or Mathematical",
}
@Article{Montgomery:1990:FEF,
author = "Peter L. Montgomery and Robert D. Silverman",
title = "An {FFT} extension to the ${P}-1$ factoring
algorithm",
journal = j-MATH-COMPUT,
volume = "54",
number = "190",
pages = "839--854",
month = apr,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11Y05",
MRnumber = "90j:11142",
MRreviewer = "Samuel S. Wagstaff, Jr.",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290Z (Other numerical methods); B0290F
(Interpolation and function approximation); C4190
(Other numerical methods); C4130 (Interpolation and
function approximation); C4240 (Programming and
algorithm theory)",
corpsource = "Dept. of Math., California Univ., Los Angeles, CA,
USA",
keywords = "computational complexity; convolution; elliptic curve;
factoring algorithm; fast Fourier transform techniques;
fast Fourier transforms; FFT extension; polynomials;
residue number systems",
treatment = "T Theoretical or Mathematical",
}
@Article{Buchmann:1990:ACR,
author = "J. Buchmann and J. W. Sands and H. C. Williams",
title = "$p$-Adic Computation of Real Quadratic Class Numbers",
journal = j-MATH-COMPUT,
volume = "54",
number = "190",
pages = "855--868",
month = apr,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11Y40 (11R29)",
MRnumber = "90h:11112",
MRreviewer = "Duncan A. Buell",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation); C4240
(Programming and algorithm theory)",
corpsource = "Univ. des Saarlandes, Saarbrucken, West Germany",
keywords = "computational complexity; function approximation;
micro VAX II computer; microcomputer applications;
p-adic class number formula; real quadratic class
numbers",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Berge:1990:CSF,
author = "A.-M. Berg{\'e} and J. Martinet and M. Olivier",
title = "The computation of sextic fields with a quadratic
subfield",
journal = j-MATH-COMPUT,
volume = "54",
number = "190",
pages = "869--884",
month = apr,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11Y40 (11R21 11R29)",
MRnumber = "90k:11169",
MRreviewer = "Joe P. Buhler",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "CeReMaB, Talence, France",
keywords = "computational geometry; cubic polynomial; Galois
closure; Galois group; group theory; polynomials;
quadratic extension; quadratic subfield; sextic
fields",
treatment = "T Theoretical or Mathematical",
}
@Article{Delmer:1990:CWP,
author = "Francine Delmer and Jean-Marc Deshouillers",
title = "On the Computation of $g(k)$ in {Waring}'s Problem",
journal = j-MATH-COMPUT,
volume = "54",
number = "190",
pages = "885--893",
month = apr,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11P05 (11J25 11Y16)",
MRnumber = "90i:11109",
MRreviewer = "Herman J. J. te Riele",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4240 (Programming and algorithm theory); C1160
(Combinatorial mathematics)",
corpsource = "CNRS, Bordeaux 1 Univ., Talence, France",
keywords = "complexity; computational complexity; Diophantine
inequality; integral kth powers; natural integers;
number theory",
treatment = "T Theoretical or Mathematical",
}
@Article{Coppersmith:1990:FLT,
author = "Don Coppersmith",
title = "{Fermat}'s last theorem (case $1$) and the {Wieferich}
criterion",
journal = j-MATH-COMPUT,
volume = "54",
number = "190",
pages = "895--902",
month = apr,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11D41",
MRnumber = "90h:11024",
MRreviewer = "Duncan A. Buell",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4240 (Programming and algorithm theory); C1160
(Combinatorial mathematics)",
keywords = "computability; number theory; prime exponent;
Wieferich criterion",
treatment = "T Theoretical or Mathematical",
}
@Article{Morain:1990:CLD,
author = "Fran{\c{c}}ois Morain",
title = "Corrigenda: {``On the $\operatorname{lcm}$ of the
differences of eight primes'' [Math. Comput. {\bf 52}
(1989), no. 185, 225--229]}",
journal = j-MATH-COMPUT,
volume = "54",
number = "190",
pages = "911--911",
month = apr,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11A41 (11A07 11Y05)",
MRnumber = "92a:11011b",
bibdate = "Sat Oct 24 17:17:40 1998",
note = "See \cite{Morain:1989:DEP}.",
acknowledgement = ack-nhfb,
}
@Article{Bramble:1990:PMP,
author = "James H. Bramble and Joseph E. Pasciak and Jin Chao
Xu",
title = "Parallel Multilevel Preconditioners",
journal = j-MATH-COMPUT,
volume = "55",
number = "191",
pages = "1--22",
month = jul,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30 (65F10)",
MRnumber = "90k:65170",
MRreviewer = "Wolfgang Moldenhauer",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database; Math/kbmath.bib; Parallel/mgnet.bib;
Parallel/Multi.grid.bib",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
B0290P (Differential equations); C4130 (Interpolation
and function approximation); C4170 (Differential
equations)",
corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA",
keywords = "abstract theory; approximation theory; boundary-value
problems; condition number; differential; discrete
systems; equations; full approximation space; nested
subspaces; numerical approximation; parallel multilevel
preconditioners; problems; symmetric elliptic boundary
value",
treatment = "T Theoretical or Mathematical",
}
@Article{Zhang:1990:OONa,
author = "Shangyou Zhang",
title = "Optimal-order nonnested multigrid methods for solving
finite element equations. {I}. On quasi-uniform
meshes",
journal = j-MATH-COMPUT,
volume = "55",
number = "191",
pages = "23--36",
month = jul,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N55 (65F10 65N30)",
MRnumber = "91g:65268",
MRreviewer = "David F. Griffiths",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Math., Purdue Univ., West Lafayette, IN,
USA",
keywords = "coarse-level correction; computational order; error;
fine-level smoothing; finite element analysis; finite
element equations; iterative; iterative methods;
low-frequency components; meshes; multigrid method;
optimal; optimal order nonnested multigrid methods;
quasi uniform",
treatment = "T Theoretical or Mathematical",
}
@Article{Kuo:1990:LED,
author = "Hung-Ju Kuo and Neil S. Trudinger",
title = "Linear elliptic difference inequalities with random
coefficients",
journal = j-MATH-COMPUT,
volume = "55",
number = "191",
pages = "37--53",
month = jul,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N05 (35R60 39A12)",
MRnumber = "90m:65176",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations); C1330 (Optimal control)",
corpsource = "Centre For Math. Analysis, Australian Nat. Univ., ACT,
Australia",
keywords = "difference equations; difference inequalities; linear
elliptic; maximum principle; pointwise estimates;
random coefficients",
treatment = "T Theoretical or Mathematical",
}
@Article{Estep:1990:BDD,
author = "Donald Estep and Michael Loss and Jeffrey Rauch",
title = "Boundedness of Dispersive Difference Schemes",
journal = j-MATH-COMPUT,
volume = "55",
number = "191",
pages = "55--87",
month = jul,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M12",
MRnumber = "91h:65139",
MRreviewer = "R{\'e}mi Vaillancourt",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "A0340K (Waves and wave propagation: general
mathematical aspects); A0260 (Numerical approximation
and analysis)",
corpsource = "Sch. of Math., Georgia Inst. of Technol., Atlanta, GA,
USA",
keywords = "Besov; boundedness; difference equations; dispersive
difference; initial value problems; pointwise behavior;
schemes; simple wave equation; spaces; wave equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Ying:1990:VSU,
author = "Lung-An Ying",
title = "Viscous splitting for the unbounded problem of the
{Navier--Stokes} equations",
journal = j-MATH-COMPUT,
volume = "55",
number = "191",
pages = "89--113",
month = jul,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "35Q30 (65N99 76D05 76D07)",
MRnumber = "91d:35170",
MRreviewer = "Howard Swann",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "A4710 (General theory, simulation and other
computational methods); A0230 (Function theory,
analysis)",
corpsource = "Dept. of Math., Peking Univ., China",
keywords = "approximate solutions; boundary-value problems;
equations; exterior initial-boundary value problems;
initial value problems; Navier-; Navier--Stokes; Stokes
equations; unbounded problem; viscosity; viscous
splitting",
treatment = "T Theoretical or Mathematical",
}
@Article{Han:1990:DBE,
author = "Hou De Han",
title = "A direct boundary element method for {Signorini}
problems",
journal = j-MATH-COMPUT,
volume = "55",
number = "191",
pages = "115--128",
month = jul,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30 (49J40 65K05)",
MRnumber = "91c:65070",
MRreviewer = "Francesco Scarpini",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "A0260 (Numerical approximation and analysis); A0230
(Function theory, analysis); B0290 (Numerical
analysis); C4100 (Numerical analysis)",
corpsource = "Dept. of Appl. Math., Tsinghua Univ., Beijing, China",
keywords = "approximate; boundary-elements methods; direct
boundary element method; error estimates; saddle-point
problem; Signorini problems; solutions; variational
inequality; variational techniques",
treatment = "T Theoretical or Mathematical",
}
@Article{Cheer:1990:DDE,
author = "A. Y. Cheer and D. A. Goldston",
title = "A differential delay equation arising from the sieve
of {Eratosthenes}",
journal = j-MATH-COMPUT,
volume = "55",
number = "191",
pages = "129--141",
month = jul,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11N35 (34K05)",
MRnumber = "90j:11091",
MRreviewer = "H.-E. Richert",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "A0230 (Function theory, analysis)",
corpsource = "Dept. of Math., California Univ., Davis, CA, USA",
keywords = "asymptotic formula; differential delay equation;
differential equations; numerical constants; sieve of
Eratosthenes",
treatment = "T Theoretical or Mathematical",
}
@Article{Martinez:1990:LCT,
author = "Jos{\'e} Mario Mart{\'i}nez",
title = "Local convergence theory of inexact {Newton} methods
based on structured least change updates",
journal = j-MATH-COMPUT,
volume = "55",
number = "191",
pages = "143--167",
month = jul,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65H10 (90C30)",
MRnumber = "90m:65108",
MRreviewer = "Carl T. Kelley",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Appl. Math. Lab., IMECC Univ., Estactual de Campinas,
Brazil",
keywords = "approximation theory; convergence of numerical
methods; inexact; iterative; linear iterative
subalgorithm; linear methods; local convergence theory;
Newton methods; quasi Newton methods; structured least
change updates",
treatment = "T Theoretical or Mathematical",
}
@Article{Batterson:1990:RQI,
author = "Steve Batterson and John Smillie",
title = "{Rayleigh} quotient iteration for nonsymmetric
matrices",
journal = j-MATH-COMPUT,
volume = "55",
number = "191",
pages = "169--178",
month = jul,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65F15 (58F08 58F12 58F14)",
MRnumber = "90j:65056",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Math. and Comput. Sci., Emory Univ., Atlanta,
GA, USA",
keywords = "approximate eigenvectors; bifurcation theory;
dynamical; eigenvalues and eigenfunctions; iterative
algorithm; iterative methods; nonsymmetric matrices;
Rayleigh quotient iteration; systems",
treatment = "T Theoretical or Mathematical",
}
@Article{Pan:1990:CDS,
author = "Victor Pan",
title = "On Computations with Dense Structured Matrices",
journal = j-MATH-COMPUT,
volume = "55",
number = "191",
pages = "179--190",
month = jul,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65F30",
MRnumber = "90m:65085",
MRreviewer = "Israel Koltracht",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Dept. of Math., Lehman College, City Univ. of New
York, Bronx, NY, USA",
keywords = "computations; dense structured matrices;
Hankel-Toeplitz; Hilbert types; inverses; matrix
algebra; type",
treatment = "T Theoretical or Mathematical",
}
@Article{Demetriou:1990:CTD,
author = "I. C. Demetriou",
title = "A characterization theorem for the discrete best
monotonic approximation problem",
journal = j-MATH-COMPUT,
volume = "55",
number = "191",
pages = "191--195",
month = jul,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D15",
MRnumber = "91h:65030",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
B0260 (Optimisation techniques); C4130 (Interpolation
and function approximation); C1180 (Optimisation
techniques)",
keywords = "approximation problem; approximation theory;
calculation; characterization theorem; convex objective
function; discrete best monotonic; discrete nonlinear
optimization; optimisation; piecewise monotonic
approximations; sequential data values; strictly",
treatment = "T Theoretical or Mathematical",
}
@Article{Criscuolo:1990:CEL,
author = "Giuliana Criscuolo and Giuseppe Mastroianni and
Donatella Occorsio",
title = "Convergence of Extended {Lagrange} Interpolation",
journal = j-MATH-COMPUT,
volume = "55",
number = "191",
pages = "197--212",
month = jul,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D05 (41A05)",
MRnumber = "91c:65008",
MRreviewer = "T. J. Rivlin",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Istituto Per Applicazioni Della Matematica, CNR,
Napoli, Italy",
keywords = "convergence of numerical methods; interpolation;
uniform convergence theorems",
treatment = "T Theoretical or Mathematical",
}
@Article{Criscuolo:1990:CPC,
author = "Giuliana Criscuolo and Giuseppe Mastroianni and
Giovanni Monegato",
title = "Convergence properties of a class of product formulas
for weakly singular integral equations",
journal = j-MATH-COMPUT,
volume = "55",
number = "191",
pages = "213--230",
month = jul,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65R20 (45L05)",
MRnumber = "90m:65230",
MRreviewer = "P. Uba",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
B0290P (Differential equations); C4130 (Interpolation
and function approximation); C4170 (Differential
equations)",
corpsource = "Istituto Per Applicazioni Della Matematica, CNR,
Napoli, Italy",
keywords = "convergence of numerical methods; convergence
properties; generalized Jacobi; integral equations;
interpolation; interpolatory type; polynomials; product
formulas; weakly singular",
treatment = "T Theoretical or Mathematical",
}
@Article{Peherstorfer:1990:LCO,
author = "Franz Peherstorfer",
title = "Linear combinations of orthogonal polynomials
generating positive quadrature formulas",
journal = j-MATH-COMPUT,
volume = "55",
number = "191",
pages = "231--241",
month = jul,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D32 (41A55 42C05)",
MRnumber = "90j:65043",
MRreviewer = "Walter Gautschi",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Inst. Fur Math., J. Kepler Univ., Linz, Austria",
keywords = "linear combinations; orthogonal polynomials; poles and
zeros; polynomials; positive; positive weights;
quadrature formulas; zeros",
treatment = "T Theoretical or Mathematical",
}
@Article{Forster:1990:EWG,
author = "Klaus-J{\"u}rgen F{\"o}rster and Knut Petras",
title = "On estimates for the weights in {Gaussian} quadrature
in the ultraspherical case",
journal = j-MATH-COMPUT,
volume = "55",
number = "191",
pages = "243--264",
month = jul,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D32 (41A55)",
MRnumber = "91d:65043",
MRreviewer = "David K. Kahaner",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Inst. fur Math., Hildesheim Univ., West Germany",
keywords = "approximations; asymptotic; Christoffel numbers;
elementary; estimates; functions; Gaussian quadrature;
monotonicity properties; polynomials; ultraspherical
case; weights",
treatment = "T Theoretical or Mathematical",
}
@Article{Rabinowitz:1990:NEC,
author = "Philip Rabinowitz",
title = "Numerical evaluation of {Cauchy} principal value
integrals with singular integrands",
journal = j-MATH-COMPUT,
volume = "55",
number = "191",
pages = "265--276",
month = jul,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D30",
MRnumber = "90m:65051",
MRreviewer = "C. Dagnino",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290Z (Other numerical methods); C4190 (Other
numerical methods)",
corpsource = "Dept. of Appl. Math. and Comput. Sci., Weizmann Inst.
of Sci., Rehovot, Israel",
keywords = "Cauchy principal; convergence results; integration
rules; interpolatory; numerical evaluation; singular
integrands; transforms; value integrals",
treatment = "T Theoretical or Mathematical",
}
@Article{Niederreiter:1990:LBD,
author = "Harald Niederreiter",
title = "Lower bounds for the discrepancy of inversive
congruential pseudorandom numbers",
journal = j-MATH-COMPUT,
volume = "55",
number = "191",
pages = "277--287",
month = jul,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65C10 (11K45)",
MRnumber = "91e:65016",
MRreviewer = "R. G. Stoneham",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C5230 (Digital arithmetic methods); C7310
(Mathematics)",
corpsource = "Inst. for Inf. Processing, Austrian Acad. of Sci.,
Vienna, Austria",
keywords = "admissible parameters; inversive congruential
pseudorandom numbers; lower bounds; random number
generation; statistical independence properties",
treatment = "T Theoretical or Mathematical",
}
@Article{Mitchell:1990:EEA,
author = "Ricardo A. Mitchell",
title = "Error estimates arising from certain pseudorandom
sequences in a quasi-random search method",
journal = j-MATH-COMPUT,
volume = "55",
number = "191",
pages = "289--297",
month = jul,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65C10 (11K45)",
MRnumber = "91b:65007",
MRreviewer = "Kazuo Goto",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C5230 (Digital arithmetic methods); C4110 (Error
analysis in numerical methods)",
corpsource = "Dept. of Math., West Indies Univ., Jamaica",
keywords = "denseness for; dispersion; error analysis; error
estimates; method; number-theoretic results;
pseudorandom sequences; quasi-random search; random
number generation; sequences",
treatment = "T Theoretical or Mathematical",
}
@Article{Garvan:1990:SPF,
author = "Frank Garvan and Dennis Stanton",
title = "Sieved partition functions and $q$-binomial
coefficients",
journal = j-MATH-COMPUT,
volume = "55",
number = "191",
pages = "299--311",
month = jul,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11P68 (05A19 05A30 11B65)",
MRnumber = "90j:11102",
MRreviewer = "George E. Andrews",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Inst. for Math. and Its Applications, Minnesota Univ.,
Minneapolis, MN, USA",
keywords = "generating functions; integer; multidimensional theta
functions; polynomial; polynomials; q-binomial
coefficients; residue class; sieved partition
functions",
treatment = "T Theoretical or Mathematical",
}
@Article{Fung:1990:CTC,
author = "Gilbert W. Fung and H. C. Williams",
title = "On the computation of a table of complex cubic fields
with discriminant ${D} > -10^6$",
journal = j-MATH-COMPUT,
volume = "55",
number = "191",
pages = "313--325",
month = jul,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11R16 (11Y40)",
MRnumber = "90m:11155",
MRreviewer = "Joe P. Buhler",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Comput. Sci., Manitoba Univ., Winnipeg, Man.,
Canada",
keywords = "complex cubic fields; computational results; cubic
fields; discriminant; nonisomorphic complex;
polynomials",
treatment = "T Theoretical or Mathematical",
}
@Article{Hardy:1990:DAS,
author = "Kenneth Hardy and Joseph B. Muskat and Kenneth S.
Williams",
title = "A Deterministic Algorithm for Solving $n = fu^2 +
gv^2$ in Coprime Integers $u$ and $v$",
journal = j-MATH-COMPUT,
volume = "55",
number = "191",
pages = "327--343",
month = jul,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11Y50 (11D09)",
MRnumber = "91d:11164",
MRreviewer = "Brigitte Vall{\'e}e",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290Z (Other numerical methods); C4190 (Other
numerical methods)",
corpsource = "Dept. of Math. and Stat., Carleton Univ., Ottowa,
Ont., Canada",
keywords = "coprime integers; deterministic algorithm; natural
number; primitive; representations; transforms",
treatment = "T Theoretical or Mathematical",
}
@Article{Fung:1990:QPW,
author = "G. W. Fung and H. C. Williams",
title = "Quadratic polynomials which have a high density of
prime values",
journal = j-MATH-COMPUT,
volume = "55",
number = "191",
pages = "345--353",
month = jul,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11N32 (11-04 11Y35)",
MRnumber = "90j:11090",
MRreviewer = "S. W. Graham",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Comput. Sci., Manitoba Univ., Winnipeg, Man.,
Canada",
keywords = "asymptotic density; Hardy-Littlewood constants;
polynomials; prime values; quadratic polynomial",
treatment = "T Theoretical or Mathematical",
}
@Article{Bach:1990:EBP,
author = "Eric Bach",
title = "Explicit bounds for primality testing and related
problems",
journal = j-MATH-COMPUT,
volume = "55",
number = "191",
pages = "355--380",
month = jul,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11R44 (11Y11 11Y40)",
MRnumber = "91m:11096",
MRreviewer = "J. C. Lagarias",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
B0250 (Combinatorial mathematics); C4130 (Interpolation
and function approximation); C1160 (Combinatorial
mathematics)",
corpsource = "Dept. of Comput. Sci., Wisconsin Univ., Madison, WI,
USA",
keywords = "abelian extension; multiplicative subgroup;
nontrivial; number fields; number theory;
number-theoretic algorithms; polynomials; primality
testing",
treatment = "T Theoretical or Mathematical",
}
@Article{Parady:1990:LKT,
author = "B. K. Parady and Joel F. Smith and Sergio E.
Zarantonello",
title = "Largest Known Twin Primes",
journal = j-MATH-COMPUT,
volume = "55",
number = "191",
pages = "381--382",
month = jul,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11A41 (11Y11)",
MRnumber = "90j:11013",
MRreviewer = "Samuel S. Wagstaff, Jr.",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0250 (Combinatorial mathematics); C1160
(Combinatorial mathematics)",
corpsource = "Amdahl Corp., Sunnyvale, CA, USA",
keywords = "largest known twin primes; number theory",
treatment = "T Theoretical or Mathematical",
}
@Article{Jaeschke:1990:CN,
author = "Gerhard Jaeschke",
title = "The {Carmichael} Numbers to $10^{12}$",
journal = j-MATH-COMPUT,
volume = "55",
number = "191",
pages = "383--389",
month = jul,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11A51 (11Y11)",
MRnumber = "90m:11018",
MRreviewer = "Herman J. J. te Riele",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0250 (Combinatorial mathematics); C1160
(Combinatorial mathematics)",
corpsource = "IBM Sci. Center, Heidelberg, West Germany",
keywords = "algorithm; Carmichael numbers; number theory",
treatment = "T Theoretical or Mathematical",
}
@Article{Chui:1990:CDB,
author = "Charles Chui and Tian Xiao He",
title = "Corrigenda: {``On the dimension of bivariate
superspline spaces''} {[Math. Comp. {\bf 53} (1989),
no. 187, 219--234, MR 90c:41014]}",
journal = j-MATH-COMPUT,
volume = "55",
number = "191",
pages = "407--409",
month = jul,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "41A15",
MRnumber = "90j:41017",
bibdate = "Thu Apr 10 10:22:20 1997",
acknowledgement = ack-nhfb,
}
@Article{Phelps:1990:SCL,
author = "Kevin T. Phelps",
title = "Supplement to Cyclic Large Sets of {Steiner} Triple
Systems of Order 15",
journal = j-MATH-COMPUT,
volume = "55",
number = "192",
pages = "S1--S6",
month = oct,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Brenner:1990:NMM,
author = "Susanne C. Brenner",
title = "A nonconforming multigrid method for the stationary
{Stokes} equations",
journal = j-MATH-COMPUT,
volume = "55",
number = "192",
pages = "411--437",
month = oct,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30 (65F10 65N22 76D07 76M10)",
MRnumber = "91d:65167",
MRreviewer = "Jan Mandel",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database; Parallel/mgnet.bib;
Parallel/Multi.grid.bib",
acknowledgement = ack-nhfb,
classcodes = "A4710 (General theory, simulation and other
computational methods); A0260 (Numerical approximation
and analysis); C4170 (Differential equations)",
corpsource = "Dept. of Math., Syracuse Univ., NY, USA",
keywords = "differential equations; divergence-free finite
elements; dynamics; finite element analysis; fluid;
nonconforming multigrid method; optimal-order W-cycle
multigrid method; P1 nonconforming; stationary Stokes
equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Zhang:1990:OONb,
author = "Shangyou Zhang",
title = "Optimal-order nonnested multigrid methods for solving
finite element equations {II}: {On} non-quasi-uniform
meshes",
journal = j-MATH-COMPUT,
volume = "55",
number = "192",
pages = "439--450",
month = oct,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N55 (65F10 65N30)",
MRnumber = "91g:65269",
MRreviewer = "David F. Griffiths",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Dept. of Math., Purdue Univ., West Lafayette, IN,
USA",
keywords = "abrupt changes; boundary conditions; differential
equations; elliptic; finite element analysis; finite
element equations; multilevel grids; nonnested
multigrid methods; nonquasi-uniform meshes;
optimal-order solvers; problems; re-entrant corners;
singularities",
treatment = "T Theoretical or Mathematical",
}
@Article{Atkinson:1990:BIE,
author = "Kendall E. Atkinson and Graeme Chandler",
title = "Boundary integral equation methods for solving
{Laplace}'s equation with nonlinear boundary
conditions: {The} smooth boundary case",
journal = j-MATH-COMPUT,
volume = "55",
number = "192",
pages = "451--472",
month = oct,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N38 (65R20)",
MRnumber = "91d:65181",
MRreviewer = "Hartmut Strese",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290R (Integral equations); B0290M (Numerical
integration and differentiation); B0290F (Interpolation
and function approximation); C4180 (Integral
equations); C4160 (Numerical integration and
differentiation); C4130 (Interpolation and function
approximation)",
corpsource = "Dept. of Math., Iowa Univ., Iowa City, IA, USA",
keywords = "approximate; approximation theory; boundary-value
problems; conditions; discretization; equation;
equations; integral; integration; interpolation;
iterative methods; Laplace equation; nonlinear;
nonlinear boundary; nonlinear boundary integral;
nonlinear boundary value; numerical methods; problem;
product integration; product Simpson rule; singular
integrals; smooth boundary; systems; trigonometric
interpolation; two-grid methods",
treatment = "T Theoretical or Mathematical",
}
@Article{Karakashian:1990:OHO,
author = "Ohannes Karakashian and William McKinney",
title = "On optimal high-order in time approximations for the
Korteweg-de {Vries equation}",
journal = j-MATH-COMPUT,
volume = "55",
number = "192",
pages = "473--496",
month = oct,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30 (35Q53)",
MRnumber = "92h:65172",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); B0290F (Interpolation
and function approximation); C4170 (Differential
equations); C4130 (Interpolation and function
approximation)",
corpsource = "Dept. of Math., Tennessee Univ., Knoxville, TN, USA",
keywords = "approximation theory; equation; implicit Runge--Kutta;
Korteweg-de Vries; methods; optimal high-order; order
reduction phenomenon; periodic solutions; Runge--Kutta
methods; time approximations",
treatment = "T Theoretical or Mathematical",
}
@Article{Fairweather:1990:SGM,
author = "Graeme Fairweather and J. M. Sanz-Serna and I.
Christie",
title = "A stabilized {Galerkin} method for a third-order
evolutionary problem",
journal = j-MATH-COMPUT,
volume = "55",
number = "192",
pages = "497--507",
month = oct,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M60 (65M15)",
MRnumber = "91d:65138",
MRreviewer = "K. Najzar",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "A4710 (General theory, simulation and other
computational methods); A0260 (Numerical approximation
and analysis); A0230 (Function theory, analysis);
A4755M (Flow through porous media); C4170 (Differential
equations); C4160 (Numerical integration and
differentiation)",
corpsource = "Dept. of Math., Valladolid Univ., Spain",
keywords = "fluid dynamics; fluidised beds; fluidization models;
form; initial value problems; integration; numerical
integration; optimal order error estimates; partial
differential equation; partial differential equations;
periodic initial value; problem; rewriting; Sobolev;
stabilization; stabilized Galerkin method; third-order
evolutionary problem",
treatment = "T Theoretical or Mathematical",
}
@Article{Eydeland:1990:MVP,
author = "Alexander Eydeland and Joel Spruck and Bruce
Turkington",
title = "Multiconstrained variational problems of nonlinear
eigenvalue type: {New} formulations and algorithms",
journal = j-MATH-COMPUT,
volume = "55",
number = "192",
pages = "509--535",
month = oct,
year = "1990",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "A4765 (Magnetohydrodynamics and electrohydrodynamics);