%%% -*-BibTeX-*-
%%% ====================================================================
%%% BibTeX-file{
%%% author = "Nelson H. F. Beebe",
%%% version = "2.07",
%%% date = "25 October 2005",
%%% time = "07:56:06 MDT",
%%% filename = "mathcomp1980.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 = "56878 29496 121118 1135500",
%%% 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",
%%% supported = "yes",
%%% docstring = "This is a COMPLETE bibliography of
%%% publications for the decade 1980--1989 in
%%% the American Mathematical Society journals
%%% 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 2.06, the year coverage looked
%%% like this:
%%%
%%% 1980 ( 109) 1985 ( 104) 1990 ( 1)
%%% 1981 ( 110) 1986 ( 127) 1991 ( 0)
%%% 1982 ( 117) 1987 ( 113) 1992 ( 0)
%%% 1983 ( 112) 1988 ( 105) 1993 ( 0)
%%% 1984 ( 101) 1989 ( 98) 1994 ( 1)
%%%
%%% Article: 1096
%%% Book: 1
%%% Proceedings: 1
%%%
%%% Total entries: 1098
%%%
%%% 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.
%%%
%%% 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.",
%%% }
%%% ====================================================================
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"\hyphenation{
Ber-co-vier
Rich-ard
Tzan-a-kis
}"
}
%%% ====================================================================
%%% Acknowledgement abbreviations:
@String{ack-jr = "Jon Rokne,
Department of Computer Science,
The University of Calgary,
2500 University Drive N.W.,
Calgary, Alberta T2N 1N4,
Canada"}
@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/|"}
@String{ack-nj = "Norbert Juffa,
2445 Mission College Blvd.
Santa Clara, CA 95054
USA
email: \path=norbert@iit.com="}
%%% ====================================================================
%%% 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.
@Article{Crandall:1980:MDA,
author = "Michael G. Crandall and Andrew Majda",
title = "Monotone difference approximations for scalar
conservation laws",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "1--21",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M05",
MRnumber = "81b:65079",
MRreviewer = "Christopher Caldwell",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Winther:1980:CFE,
author = "Ragnar Winther",
title = "A conservative finite element method for the
{Korteweg-de Vries} equation",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "23--43",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30 (35Q20)",
MRnumber = "81a:65108",
MRreviewer = "Stephen W. Brady",
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., Ostfold Distriktshogskole, Halden,
Norway",
keywords = "difference schemes; differential equations; finite
element analysis; finite element method; Korteweg de
Vries equation; partial; partial differential
equations; space variable; stable fully discrete
methods; twelve point finite; unconditionally",
treatment = "T Theoretical or Mathematical",
}
@Article{Engquist:1980:SES,
author = "Bj{\"o}rn Engquist and Stanley Osher",
title = "Stable and entropy satisfying approximations for
transonic flow calculations",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "45--75",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M10 (65M05 76H05)",
MRnumber = "81b:65082",
MRreviewer = "Joseph Oliger",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "Parallel/Multi.bib; JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Schatz:1980:WDM,
author = "Alfred H. Schatz",
title = "A weak discrete maximum principle and stability of the
finite element method in ${L}_{\infty }$ on plane
polygonal domains. {I}",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "77--91",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30",
MRnumber = "81e:65063",
MRreviewer = "B. I. Kvasov",
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., Cornell Univ., Ithaca, NY, USA",
keywords = "boundedness; continuous piecewise polynomials;
convergence of numerical methods; discrete harmonic;
finite element; finite element analysis; functions;
method; partial differential equations; plane polygonal
domains; polynomials; quasi uniform mesh; stability;
weak discrete maximum principle",
treatment = "T Theoretical or Mathematical",
}
@Article{Thomee:1980:NNE,
author = "Vidar Thom{\'e}e",
title = "Negative norm estimates and superconvergence in
{Galerkin} methods for parabolic problems",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "93--113",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N15 (65N30)",
MRnumber = "81a:65092",
MRreviewer = "N. Gass",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Winther:1980:IVM,
author = "Ragnar Winther",
title = "Initial Value Methods for Parabolic Control Problems",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "115--125",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65K10 (49D05 65Mxx)",
MRnumber = "80k:65060",
MRreviewer = "William W. Hager",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1330 (Optimal control); C4170 (Differential
equations)",
corpsource = "Dept. of Math., Univ. of Chicago, Chicago, IL, USA",
keywords = "boundary value control; boundary-value problems;
differential equations; iterative methods; Neumann;
optimal control; parabolic control problems; partial;
strictly convex functional",
treatment = "T Theoretical or Mathematical",
}
@Article{Parter:1980:RSC,
author = "Seymour V. Parter",
title = "On the roles of {``stability''} and {``convergence''}
in semidiscrete projection methods for initial-value
problems",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "127--154",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N35 (34G99)",
MRnumber = "81a:65110",
MRreviewer = "P. C. Jain",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Werschulz:1980:CCO,
author = "Arthur G. Werschulz",
title = "Computational complexity of one-step methods for
systems of differential equations",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "155--174",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L05 (34A50 68C25)",
MRnumber = "81a:65069",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations); C4240 (Programming and algorithm theory)",
corpsource = "Dept. of Math., Carnegie-Mellon Univ., Pittsburgh, PA,
USA",
keywords = "boundary value; boundary-value problems; complexity
bounds; computational complexity; differential
equations; fast power; initial value problem; one step
methods; problems; Runge Kutta methods; series
techniques; Taylor series method",
treatment = "T Theoretical or Mathematical",
}
@Article{Troesch:1980:SMA,
author = "B. A. Troesch",
title = "The Shooting Method Applied to a Cyclic Inequality",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "175--184",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10E20",
MRnumber = "81b:10022",
MRreviewer = "Duncan A. Buell",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Miel:1980:MSE,
author = "George J. Miel",
title = "Majorizing sequences and error bounds for iterative
methods",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "185--202",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65J05 (47H10)",
MRnumber = "81h:65056",
MRreviewer = "L. B. Rall",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290B (Error analysis in numerical methods); C4110
(Error analysis in numerical methods)",
corpsource = "Dept. of Math. Sci., Univ. of Nevada, Las Vegas, NV,
USA",
keywords = "Banach space; convergence theory; error analysis;
error bounds; infinite series; iterative methods;
Kantorovich theorem; Newton iterates; Rheinboldt;
sequences; stronger hypotheses",
treatment = "T Theoretical or Mathematical",
}
@Article{Evans:1980:LSE,
author = "John W. Evans and William B. Gragg and Randall J.
LeVeque",
title = "On least squares exponential sum approximation with
positive coefficients",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "203--211",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D15 (41A35)",
MRnumber = "81b:65015",
MRreviewer = "Dietrich Braess",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Lyness:1980:QEF,
author = "J. N. Lyness and G. Monegato",
title = "Quadrature error functional expansions for the simplex
when the integrand function has singularities at
vertices",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "213--225",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D32 (41A55 41A60)",
MRnumber = "80m:65017",
MRreviewer = "Thomas A. Atchison",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Dickinson:1980:SLE,
author = "Bradley W. Dickinson",
title = "Solution of linear equations with rational {Toeplitz}
matrices",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "227--233",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65F05",
MRnumber = "81h:65025",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Marsaglia:1980:GRV,
author = "George Marsaglia",
title = "Generating Random Variables With a $t$-Distribution",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "235--236",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65C10",
MRnumber = "81a:65015",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "Distributed/QLD.bib; Distributed/QLD/1980.bib; JSTOR
database",
acknowledgement = ack-nhfb,
}
@Article{Schonfelder:1980:VHA,
author = "J. L. Schonfelder",
title = "Very high accuracy {Chebyshev} expansions for the
basic trigonometric functions",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "237--244",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D20",
MRnumber = "81f:65016",
MRreviewer = "Claude Carasso",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Plesken:1980:MFIa,
author = "Wilhelm Plesken and Michael Pohst",
title = "On Maximal Finite Irreducible Subgroups of ${GL}(n,
\mathbf{Z})$: {III}. The Nine Dimensional Case",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "245--258",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "20C10",
MRnumber = "81b:20012a",
MRreviewer = "Wolfgang Knapp",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Plesken:1980:MFIb,
author = "Wilhelm Plesken and Michael Pohst",
title = "On Maximal Finite Irreducible Subgroups of ${GL}(n,
\mathbf{Z})$: {IV}. Remarks on Even Dimensions with
Applications to $n = 8$",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "259--275",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "20C10",
MRnumber = "81b:20012b",
MRreviewer = "Wolfgang Knapp",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Plesken:1980:MFIc,
author = "Wilhelm Plesken and Michael Pohst",
title = "On Maximal Finite Irreducible Subgroups of ${GL}(n,
\mathbf{Z})$: {V}. The Eight Dimensional Case and a
Complete Description of Dimensions Less Than Ten",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "277--301",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "loose microfiche suppl. 20C10",
MRnumber = "81b:20012c",
MRreviewer = "Wolfgang Knapp",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Templer:1980:P,
author = "Mark Templer",
title = "On the Primality of $k! + 1$ and $2 \ast 3 \ast 5 \ast
\cdots \ast p + 1$",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "303--304",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A25 (10-04)",
MRnumber = "80j:10010",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Brent:1980:SNA,
author = "Richard P. Brent and Edwin M. McMillan",
title = "Some new algorithms for high-precision computation of
{Euler}'s constant",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "305--312",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10-04 (10A40 68C05)",
MRnumber = "82g:10002",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290D (Functional analysis); C4120 (Functional
analysis)",
corpsource = "Univ. of California, Berkeley, CA, USA",
keywords = "Bessel functions; computation; Euler's constant;
function evaluation; high precision",
treatment = "N New Development; T Theoretical or Mathematical",
}
@Article{MacLean:1980:RCP,
author = "D. W. MacLean",
title = "Residue Classes of the Partition Function",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "313--317",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10-04 (10A45)",
MRnumber = "81a:10002",
MRreviewer = "T{\o}rleiv Klove",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Guy:1980:CWD,
author = "Richard K. Guy and J. L. Selfridge",
title = "Corrigendum to: {``What drives an aliquot sequence?''}
{[Math. Comp. {\bf 29} (1975), 101--107, MR {\bf 52}
\#5542]}",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "319--321",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A20 (10L10)",
MRnumber = "81f:10008",
MRreviewer = "Stefan A. Burr",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Salzer:1980:MCF,
author = "Herbert E. Salzer",
title = "Misstatements in {Milne-Thomson, Calculus of Finite
Differences, Macmillan, London, 1933}",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "323--324",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65Q05 (39A05)",
MRnumber = "81e:65067",
MRreviewer = "Peter Lancaster",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
xxnote = "MathSciNet has ``Misstatements in: {{\em The calculus
of finite differences} [Macmillan, London, 1933] by L.
M. Milne-Thomson. Zbl 8}'', but the above is what
appears in the original journal.",
}
@Article{JW:1980:C,
author = "J. W.",
title = "Corrigendum",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "332--332",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
note = "Original journal has only `J. W.' as author.",
acknowledgement = ack-nhfb,
}
@Article{Lynch:1980:HOD,
author = "Robert E. Lynch and John R. Rice",
title = "A high-order difference method for differential
equations",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "333--372",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L10",
MRnumber = "82b:65070",
MRreviewer = "Robert D. Russell",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Fatunla:1980:NIS,
author = "Simeon Ola Fatunla",
title = "Numerical integrators for stiff and highly oscillatory
differential equations",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "373--390",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L05",
MRnumber = "81k:65080",
MRreviewer = "Karl-Heinz Bachmann",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation)",
corpsource = "Univ. of Benin, Benin City, Nigeria",
keywords = "differential equations; highly oscillatory
differential equations; integration; Lipschitz
constants; numerical",
treatment = "T Theoretical or Mathematical",
}
@Article{Karlsen:1980:CSS,
author = "Lasse K. Karlsen",
title = "Computation of steady shocks by second-order
finite-difference schemes",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "391--400",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M10 (76L05)",
MRnumber = "81j:65102",
MRreviewer = "Darrell L. Hicks",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Baker:1980:CGA,
author = "Garth A. Baker and Vassilios A. Dougalis",
title = "On the ${L}^{\infty }$-convergence of {Galerkin}
approximations for second-order hyperbolic equations",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "401--424",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M15 (65N30)",
MRnumber = "81f:65066",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Hackbusch:1980:CMG,
author = "Wolfgang Hackbusch",
title = "Convergence of multi-grid iterations applied to
difference equations",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "425--440",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N20 (65F10)",
MRnumber = "83b:65112",
MRreviewer = "Robert Beauwens",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database; Parallel/mgnet.bib;
Parallel/Multi.bib; Parallel/Multi.grid.bib;
Theory/o_ccd.bib",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Math. Inst., Univ. zu Koln, Koln, West Germany",
keywords = "boundary value problems; convergence; convergence of
numerical methods; difference equations; finite element
equations; Gauss Seidel iteration; iterations;
iterative methods; Lipschitzian regions; multi grid",
treatment = "T Theoretical or Mathematical",
}
@Article{Dupont:1980:PAF,
author = "Todd Dupont and Ridgway Scott",
title = "Polynomial approximation of functions in {Sobolev}
spaces",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "441--463",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D15 (41A10)",
MRnumber = "81h:65014",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0250 (Combinatorial mathematics); B0290F
(Interpolation and function approximation); C1160
(Combinatorial mathematics); C4130 (Interpolation and
function approximation)",
corpsource = "Dept. of Math., Univ. of Chicago, Chicago, IL, USA",
keywords = "averaged Taylor series; function approximation;
polynomial; polynomials; Sobolev spaces; topology",
treatment = "T Theoretical or Mathematical",
}
@Article{Paige:1980:EAS,
author = "C. C. Paige",
title = "Error Analysis of Some Techniques for Updating
Orthogonal Decompositions",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "465--471",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65F30",
MRnumber = "81h:65040",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database; Theory/Matrix.bib",
acknowledgement = ack-nhfb,
kwds = "math, nla, qrd, updating, rounding error",
}
@Article{Manteuffel:1980:IFT,
author = "T. A. Manteuffel",
title = "An Incomplete Factorization Technique for Positive
Definite Linear Systems",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "473--497",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65F10 (15A06)",
MRnumber = "82c:65019",
MRreviewer = "R. E. Funderlic",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database; Theory/Matrix.bib",
acknowledgement = ack-nhfb,
kwds = "nla, preconditioning, incomplete factorization",
}
@Article{Shanno:1980:VMM,
author = "D. F. Shanno",
title = "On variable-metric methods for sparse {Hessians}",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "499--514",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65K10 (15A57 90C30)",
MRnumber = "81j:65077",
MRreviewer = "M. T. Heath",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Stokes:1980:SQD,
author = "A. N. {Stokes}",
title = "A Stable Quotient-Difference Algorithm",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "515--519",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D15 (41A21)",
MRnumber = "81i:65019",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Marti:1980:CAC,
author = "J. T. Marti",
title = "On the convergence of an algorithm computing
minimum-norm solutions of ill-posed problems",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "521--527",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65J10 (47A50)",
MRnumber = "83g:65058",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Eidgenossische Tech. Hochschule, Zurich, Switzerland",
keywords = "bound; convergence; convergence of numerical methods;
error; finite element algorithm; finite element
analysis; Hilbert space; ill posed; minimum norm
solutions; problems; second derivative",
treatment = "T Theoretical or Mathematical",
}
@Article{Shrager:1980:NCF,
author = "Richard I. Shrager and Edward {Hill, Jr.}",
title = "Nonlinear curve-fitting in the ${L}_{1}$ and
${L}_{\infty }$ norms",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "529--541",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "41A45 (41A50 65D10)",
MRnumber = "83g:41027",
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 = "Lab. of Appl. Studies, Nat. Insts. of Health,
Bethesda, MD, USA",
keywords = "curve fitting; Levenberg Marquardt method; linear
programming; nonlinear curve fitting; search parameter;
trial parameters",
treatment = "T Theoretical or Mathematical",
}
@Article{Minoli:1980:IFG,
author = "Daniel Minoli",
title = "Inductive Formulae for General Sum Operations",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "543--545",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65B15 (10J06 40-04)",
MRnumber = "81g:65002",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Char:1980:SCF,
author = "Bruce W. Char",
title = "On {Stieltjes}' continued fraction for the gamma
function",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "547--551",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65A05 (65D20)",
MRnumber = "81b:65008",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Fransen:1980:HPV,
author = "Arne Frans{\'e}n and Staffan Wrigge",
title = "High-precision values of the gamma function and of
some related coefficients",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "553--566",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65A05 (65D20)",
MRnumber = "81f:65004",
MRreviewer = "F. W. J. Olver",
bibdate = "Sat Apr 01 10:12:58 2000",
bibsource = "JSTOR database",
note = "See addendum and corrigendum
\cite{Fransen:1981:ACH}.",
acknowledgement = ack-nhfb,
}
@Article{Williams:1980:CRP,
author = "H. C. Williams and G. Cormack and E. Seah",
title = "Calculation of the Regulator of a Pure Cubic Field",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "567--611",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "12A45 (12A30 12A50)",
MRnumber = "81d:12003",
MRreviewer = "J. C. Lagarias",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{James:1980:GOO,
author = "Rodney James",
title = "The Groups of Order $p^6$ ($p$ an Odd Prime)",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "613--637",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "20D15",
MRnumber = "81a:20024",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Minoli:1980:INH,
author = "Daniel Minoli",
title = "Issues in Nonlinear Hyperperfect Numbers",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "639--645",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A20",
MRnumber = "82c:10005",
MRreviewer = "Masao Kishore",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Wagstaff:1980:DCS,
author = "Samuel S. {Wagstaff, Jr.}",
title = "$p$-divisibility of certain sets of {Bernoulli}
numbers",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "647--649",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A40 (12A50)",
MRnumber = "81i:10018",
MRreviewer = "T. Mets{\"a}nkyl{\"a}",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Anonymous:1980:C,
author = "Anonymous",
title = "Corrigenda",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "652--652",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Bramble:1980:EHO,
author = "James H. Bramble and Peter H. Sammon",
title = "Efficient Higher Order Single Step Methods for
Parabolic Problems: Part {I}",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "655--677",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30 (65M15)",
MRnumber = "81h:65110",
MRreviewer = "G. W. Hedstrom",
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., Cornell Univ., Ithaca, NY, USA",
keywords = "approximation; boundary-value problems; differential
equations; Galerkin type; high order methods; initial
boundary value problem; iterative methods; parabolic
problems; partial; preconditioned iterative technique;
single step methods; spatial variables",
treatment = "T Theoretical or Mathematical",
}
@Article{deBoor:1980:CAE,
author = "Carl {de Boor} and Blair Swartz",
title = "Collocation approximation to eigenvalues of an
ordinary differential equation: the principle of the
thing",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "679--694",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L15",
MRnumber = "81k:65097",
MRreviewer = "Steven M. Serbin",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database; Theory/nld.bib",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
B0290P (Differential equations); C4130 (Interpolation
and function approximation); C4170 (Differential
equations)",
corpsource = "Math. Res. Center, Madison, WI, USA",
keywords = "collocation approximation; compact linear maps;
differential equations; eigenvalues; eigenvalues and
eigenfunctions; Gauss points; ordinary differential
equation; piecewise polynomial functions; polynomials",
treatment = "T Theoretical or Mathematical",
}
@Article{Berger:1980:GOS,
author = "Alan E. Berger and Jay M. Solomon and Melvyn Ciment
and Stephen H. Leventhal and Bernard C. Weinberg",
title = "Generalized {OCI} schemes for boundary layer
problems",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "695--731",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L10 (65M10)",
MRnumber = "81f:65057",
MRreviewer = "C. Wayne Mastin",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Naval Surface Weapons Center, Silver Spring, MD, USA",
keywords = "boundary layer problems; difference equations;
discrete maximum; error estimates; fourth order
difference schemes; OCI schemes; operation compact
implicit schemes; principle; problems; Reynolds number
limitation; singular perturbation",
treatment = "T Theoretical or Mathematical",
}
@Article{Swartz:1980:CID,
author = "Blair Swartz",
title = "Compact, implicit difference schemes for a
differential equation's side conditions",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "733--746",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L10 (65L05)",
MRnumber = "81f:65063",
MRreviewer = "P. M. Dew",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Los Alamos Sci. Lab., Univ. of California, Los Alamos,
NM, USA",
keywords = "approximate; compact; convergence of numerical
methods; convergence rates; differential equation's
side conditions; differential equations; divided
difference data; implicit difference scheme; initial
divided differences; interior difference equations;
linear ordinary differential equation; polynomial
exactness; polynomials; shooting; solution",
treatment = "T Theoretical or Mathematical",
}
@Article{Lundin:1980:CFM,
author = "L. R. Lundin",
title = "A cardinal function method of solution of the equation
${\Delta} u=u-u^{3}$",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "747--756",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65P05",
MRnumber = "81g:65172",
MRreviewer = "Eugene Allgower",
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 = "Dept. of Computer and Information Sci., State Univ.
Coll., Potsdam, NY, USA",
keywords = "approximation; cardinal function method; differential
equations; function approximation; functional; Klein
Gordon equation; zeros",
treatment = "T Theoretical or Mathematical",
}
@Article{Maher:1980:ETT,
author = "David P. Maher",
title = "Existence theorems for transforms over finite rings
with applications to {2-D} convolution",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "757--765",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10-04 (94B35)",
MRnumber = "81f:10002",
MRreviewer = "Jack K. Wolf",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0230 (Integral transforms); C1130 (Integral
transforms)",
corpsource = "Dept. of Math., Worcester Polytech. Inst., Worcester,
MA, USA",
keywords = "2D convolution; arbitrary finite commutative rings;
class rings; finite rings; Fourier like transforms;
residue; transforms",
treatment = "T Theoretical or Mathematical",
}
@Article{Cash:1980:NOA,
author = "J. R. Cash",
title = "A note on {Olver}'s algorithm for the solution of
second-order linear difference equations",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "767--772",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65Q05",
MRnumber = "81h:65124",
MRreviewer = "R. M. M. Mattheij",
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., Imperial Coll., London, UK",
keywords = "difference equations; linear difference equations;
Olver's algorithm",
treatment = "T Theoretical or Mathematical",
}
@Article{Nocedal:1980:UQN,
author = "Jorge Nocedal",
title = "Updating Quasi-{Newton} Matrices with Limited
Storage",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "773--782",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65K05 (90C30)",
MRnumber = "81g:65077",
MRreviewer = "Aur{\'e}l Gal{\'a}ntai",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database; Theory/auto.diff.bib;
Theory/Matrix.bib",
acknowledgement = ack-nhfb,
classcodes = "B0260 (Optimisation techniques); B0290H (Linear
algebra); C1180 (Optimisation techniques); C4140
(Linear algebra)",
corpsource = "Univ. Nacional Autonoma de Mexico, Mexico City,
Mexico",
keywords = "BFGS; iterative methods; limited storage; matrix
algebra; minimisation; minimization methods; quasi
Newtonian matrices; update formula",
kwds = "nlop, quasi-Newton method, sparse",
referred = "[Navo91a].",
treatment = "T Theoretical or Mathematical",
}
@Article{Makroglou:1980:CBB,
author = "Athena Makroglou",
title = "Convergence of a block-by-block method for nonlinear
{Volterra} integro-differential equations",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "783--796",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65R20",
MRnumber = "81g:65180",
MRreviewer = "Sean McKee",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); B0290R (Integral
equations); C4170 (Differential equations); C4180
(Integral equations)",
corpsource = "Athens Univ., Athens, Greece",
keywords = "block by block method; convergence; convergence of
numerical methods; equations; integro-differential;
nonlinear Volterra integro differential",
treatment = "T Theoretical or Mathematical",
}
@Article{Meek:1980:MVT,
author = "D. Meek",
title = "A Mean Value Theorem for Linear Functionals",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "797--802",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "41A58 (65G99)",
MRnumber = "81f:41033",
MRreviewer = "David R. Hill",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290B (Error analysis in numerical methods); B0290D
(Functional analysis); C4110 (Error analysis in
numerical methods); C4120 (Functional analysis)",
corpsource = "Dept. of Computer Sci., Univ. of Manitoba, Winnipeg,
Man., Canada",
keywords = "discretization formulas; error analysis; errors;
function evaluation; linear functionals; mean value
theorem; Peano kernel",
treatment = "T Theoretical or Mathematical",
}
@Article{Larkin:1980:RFF,
author = "F. M. Larkin",
title = "Root-Finding by Fitting Rational Functions",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "803--816",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65H05",
MRnumber = "81k:65049",
MRreviewer = "Erich Bohl",
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 Computing and Information Sci., Queen's
Univ., Kingston, Ont., Canada",
keywords = "abscissae; analytic function; asymptotic convergence
properties; finding; function approximation; rational
functions; root; tabular recursive method",
treatment = "T Theoretical or Mathematical",
}
@Article{Skeel:1980:IRI,
author = "Robert D. Skeel",
title = "Iterative Refinement Implies Numerical Stability for
{Gaussian} Elimination",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "817--832",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65F05 (65F35)",
MRnumber = "83e:65058",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database; Parallel/par.lin.alg.bib;
Theory/Matrix.bib",
acknowledgement = ack-nhfb,
classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Dept. of Computer Sci., Univ. of Illinois, Urbana, IL,
USA",
keywords = "algebra; column pivoting; convergence of numerical
methods; Gaussian elimination; iterative refinement;
matrix; matrix algebra; numerical stability; row
pivoting; scaling problems",
kwds = "nla, lud, rounding error",
treatment = "T Theoretical or Mathematical",
}
@Article{Sidi:1980:ACT,
author = "Avram Sidi",
title = "Analysis of convergence of the ${T}$-transformation
for power series",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "833--850",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "41A60 (40A05 40A25 41A25)",
MRnumber = "83d:41039",
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 Computer Sci., Technion-Israel Inst. of
Technol., Haifa, Israel",
keywords = "convergence; convergence of numerical methods;
Levin's; nonlinear sequence transformations; power
series; T-transformation; transforms",
treatment = "T Theoretical or Mathematical",
}
@Article{Sidi:1980:NQN,
author = "Avram Sidi",
title = "Numerical quadrature and nonlinear sequence
transformations; unified rules for efficient
computation of integrals with algebraic and logarithmic
endpoint singularities",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "851--874",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D30 (41A55)",
MRnumber = "81h:65017",
MRreviewer = "S. Dubuc",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation)",
corpsource = "Computer Sci. Dept., Technion-Israel Inst. of
Technol., Haifa, Israel",
keywords = "abscissas; algebraic endpoint singularities;
convergence; endpoint singularities; formulas; Gaussian
formulas; integrals; integration; interpolatory type;
logarithmic; nonlinear sequence transformations;
numerical integration; numerical quadrature",
treatment = "T Theoretical or Mathematical",
}
@Article{Bultheel:1980:RAM,
author = "Adhemar Bultheel",
title = "Recursive algorithms for the matrix {Pad{\'e}}
problem",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "875--892",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "41A21 (65D15)",
MRnumber = "81h:41017",
MRreviewer = "Hans-J{\"u}rgen Albrand",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Katholieke Univ. Leuven, Heverlee, Belgium",
keywords = "interpretation; matrix algebra; matrix Pad{\'e}
problem; matrix triangularization; recursive
algorithms; Trench Zohar algorithm",
treatment = "T Theoretical or Mathematical",
}
@Article{Horner:1980:RRC,
author = "T. S. Horner",
title = "Recurrence relations for the coefficients in
{Chebyshev} series solutions of ordinary differential
equations",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "893--905",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L05 (65D20)",
MRnumber = "81d:65038",
MRreviewer = "L. F. Shampine",
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 = "Dept. of Math., Univ. of Wollongong, Wollongong, NSW,
Australia",
keywords = "Chebyshev series solutions; differential equations;
linear differential equations; ordinary differential
equations; polynomial coefficient; polynomials;
recurrence relations",
treatment = "T Theoretical or Mathematical",
}
@Article{Philip:1980:CPC,
author = "J. R. Philip",
title = "The convergence and partial convergence of alternating
series",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "907--916",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "40A05 (65B10)",
MRnumber = "81h:40004",
MRreviewer = "Tikam Singh",
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 = "Div. of Environmental Mech., CSIRO, Canberra, ACT,
Australia",
keywords = "alternating series; Bernoulli; convergence;
convergence of numerical methods; Euler Maclaurin
expansion; monotonic function; numbers; partial
convergence",
treatment = "T Theoretical or Mathematical",
}
@Article{Allasia:1980:NET,
author = "G. Allasia and F. Bonardo",
title = "On the Numerical Evaluation of Two Infinite Products",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "917--931",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D20 (65A05)",
MRnumber = "81f:65013",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290D (Functional analysis); C4120 (Functional
analysis)",
corpsource = "Inst. of Numerical Analysis, Univ. of Turin, Turin,
Italy",
keywords = "function evaluation; infinite products; numerical
evaluation; series expansion",
treatment = "T Theoretical or Mathematical",
}
@Article{Isaacs:1980:ELF,
author = "Godfrey L. Isaacs",
title = "Exponential Laws for Fractional Differences",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "933--936",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "39A05",
MRnumber = "82e:39001",
MRreviewer = "B. M. Agrawal",
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., Herbert H. Lehman Coll., City Univ. of
New York, New York, NY, USA",
keywords = "difference equations; exponent law; fractional
differences",
treatment = "T Theoretical or Mathematical",
}
@Article{Tretter:1980:FCC,
author = "Marietta J. Tretter and G. W. Walster",
title = "Further comments on the computation of modified
{Bessel} function ratios",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "937--939",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A40",
MRnumber = "81d:33005",
MRreviewer = "James M. Horner",
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 = "Pennsylvania State Univ., University Park, PA, USA",
keywords = "function approximation; modified Bessel function
ratios",
treatment = "T Theoretical or Mathematical",
}
@Article{Leon:1980:AFB,
author = "Jeffrey S. Leon",
title = "On an algorithm for finding a base and a strong
generating set for a group given by generating
permutations",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "941--974",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "20-04 (20F05)",
MRnumber = "82i:20004",
MRreviewer = "Colin M. Campbell",
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., Univ. of Illinois, Chicago, IL, USA",
keywords = "base; computational group theory; group; group theory;
permutations; strong generating set",
treatment = "T Theoretical or Mathematical",
}
@Article{Gostin:1980:F,
author = "Gary B. Gostin",
title = "A Factor of ${F}_{17}$",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "975--976",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A25 (10-04)",
MRnumber = "81f:10010",
MRreviewer = "J. L. Selfridge",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290Z (Other numerical methods); C4190 (Other
numerical methods); C7310 (Mathematics computing)",
keywords = "175; analysis; CDC Cyber; Compass assembly language;
factoring; FORTRAN; machine implementation;
mathematical; mathematical analysis; prime factor",
treatment = "T Theoretical or Mathematical",
}
@Article{Howard:1980:SCB,
author = "F. T. Howard",
title = "A Special Class of {Bell} Polynomials",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "977--989",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A40 (05A15)",
MRnumber = "82g:10028",
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., Wake Forest Univ., Winston-Salem, NC,
USA",
keywords = "Bell polynomials; Bernoulli number; polynomials;
Stirling number",
treatment = "T Theoretical or Mathematical",
}
@Article{Agrawal:1980:ECC,
author = "M. K. Agrawal and J. H. Coates and D. C. Hunt and A.
J. {van der Poorten}",
title = "Elliptic curves of conductor $11$",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "991--1002",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10D12 (10B10 14K07)",
MRnumber = "81e:10022",
MRreviewer = "M. A. Kenku",
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., Panjab Univ., Chandigarh, India",
keywords = "algebraic numbers; conductor 11; differential
equations; Diophantine equation; elliptic curves;
inequalities; linear forms; logarithms; sharp; Taniyama
Weil conjecture; Thue Mahler equation; topology",
treatment = "T Theoretical or Mathematical",
}
@Article{Pomerance:1980:P,
author = "Carl Pomerance and J. L. Selfridge and Samuel S.
{Wagstaff, Jr.}",
title = "The Pseudoprimes to $25 \cdot 10^9$",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "1003--1026",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A40 (10-04 10A25)",
MRnumber = "82g:10030",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); C1110 (Algebra)",
corpsource = "Dept. of Math., Univ. of Illinois, Urbana, IL, USA",
keywords = "Carmichael numbers; counting function; Lucas
sequences; mathematical analysis; primality;
pseudoprimes",
treatment = "T Theoretical or Mathematical",
}
@Article{Hagis:1980:OPE,
author = "Peter {Hagis, Jr.}",
title = "Outline of a proof that every odd perfect number has
at least eight prime factors",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "1027--1032",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A20",
MRnumber = "81k:10004",
MRreviewer = "Carl Pomerance",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); C1110 (Algebra)",
corpsource = "Dept. of Math., Temple Univ., Philadelphia, PA, USA",
keywords = "mathematical analysis; odd perfect number; prime
factors",
treatment = "T Theoretical or Mathematical",
}
@Article{Babuska:1980:AMM,
author = "I. Babu{\v{s}}ka and J. Osborn and J. Pitk{\"a}ranta",
title = "Analysis of Mixed Methods Using Mesh Dependent Norms",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1039--1062",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30 (65N15 73K10)",
MRnumber = "81m:65166",
MRreviewer = "Rolf Rannacher",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation);
C4240 (Programming and algorithm theory)",
corpsource = "Dept. of Math., Univ. of Maryland, College Park, MD,
USA",
keywords = "biharmonic problem; bounded bilinear; computational
complexity; finite dimensional space; form; function
approximation; Hilbert space; mesh dependent norm;
methods; numerical; point problem; Ritz Galerkin
approximation; saddle",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Johnson:1980:CBI,
author = "Claes Johnson and J.-Claude N{\'e}d{\'e}lec",
title = "On the coupling of boundary integral and finite
element methods",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1063--1079",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30",
MRnumber = "82c:65072",
MRreviewer = "Reinhard Scholz",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4110 (Error analysis in numerical methods); C4180
(Integral equations)",
corpsource = "Chalmers Technol. Inst., Goteborg, Sweden",
keywords = "asymptotic behaviour; boundary integral; bounded;
bounded regular domain; coupling; differential
operator; Dirichlet; error analysis; error estimate;
finite element analysis; integral equations; problem;
subdomain",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Pasciak:1980:SPS,
author = "Joseph E. Pasciak",
title = "Spectral and Pseudo Spectral Methods for Advection
Equations",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1081--1092",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M10 (65M15)",
MRnumber = "81i:65073",
MRreviewer = "E. H. Twizell",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4110 (Error analysis in numerical methods); C4130
(Interpolation and function approximation); C4170
(Differential equations)",
corpsource = "Appl. Math. Dept., Brookhaven Nat. Lab., Upton, NY,
USA",
keywords = "advection equation; collocation projection; error
analysis; finite dimensional subspace; finite element
analysis; Galerkin projection; numerical methods;
partial differential equations; polynomial; pseudo
spectral method; spectral method; trigonometric",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Luskin:1980:FEM,
author = "Mitchell Luskin",
title = "A finite element method for first-order hyperbolic
systems",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1093--1112",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30 (65M15 76N15)",
MRnumber = "81i:65092",
MRreviewer = "E. H. Twizell",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C1220 (Simulation,
modelling and identification); C4110 (Error analysis in
numerical methods); C4170 (Differential equations);
C4240 (Programming and algorithm theory)",
corpsource = "Dept. of Math., Univ. of Michigan, Ann Arbor, MI,
USA",
keywords = "analysis; computational complexity; equations; error
analysis; finite element; first order hyperbolic
equation; isothermal; L/sup 2/ norm; modelling;
momentum density; numerical methods; partial
differential; spaces family; speed",
treatment = "T Theoretical or Mathematical; X Experimental",
}
@Article{Pitkaranta:1980:LSC,
author = "Juhani Pitk{\"a}ranta",
title = "Local Stability Conditions for the {Babu{\v{s}}ka}
Method of {Lagrange} Multipliers",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1113--1129",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30",
MRnumber = "81m:65174",
MRreviewer = "V. Thom{\'e}e",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290R (Integral equations); C4180 (Integral
equations)",
corpsource = "Inst. of Math., Helsinki Univ. of Technol., Espoo,
Finland",
keywords = "Babu{\v{s}}ka method; bounded domain; connected
domain; convergence of numerical methods; finite
element analysis; integral equations; Lagrange
multipliers; mesh dependent norm; stability; weight
dependent norm",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Goldstein:1980:VCE,
author = "Charles I. Goldstein",
title = "Variational crimes and ${L}^{\infty }$ error estimates
in the finite element method",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1131--1157",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30 (65N15)",
MRnumber = "81m:65169",
MRreviewer = "V. Thom{\'e}e",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4110 (Error analysis in numerical methods); C4180
(Integral equations)",
corpsource = "Applied Math. Dept., Brookhaven Nat. Lab., Upton, NY,
USA",
keywords = "analysis; bilinear form; boundary-value problems;
bounded domain; cosine; directional; error analysis;
finite element; Galerkin method; integration; linear
elliptic boundary value problem; patch test; second
order boundary; smoothness; triangulation; value
problem",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Cooper:1980:AMN,
author = "G. J. Cooper and A. Sayfy",
title = "Additive methods for the numerical solution of
ordinary differential equations",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1159--1172",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L05",
MRnumber = "81k:65079",
MRreviewer = "David K. Kahaner",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4170 (Differential equations)",
corpsource = "School of Math. and Phys. Sci., Univ. of Sussex,
Brighton, UK",
keywords = "convergence of numerical methods; decomposition;
differential equations; finite element analysis;
initial value problems; linear; matrices triple;
ordinary differential equation; s-stage additive
method; step length",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Alfeld:1980:MST,
author = "Peter Alfeld",
title = "A method of skipping the transient phase in the
solution of separably stiff ordinary initial value
problems",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1173--1176",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L05",
MRnumber = "81k:65076",
MRreviewer = "David K. Kahaner",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4170 (Differential equations)",
corpsource = "Dept. of Math., Univ. of Utah, Salt Lake City, UT,
USA",
keywords = "derivative; differential equations; gradient
projection technique; initial value problems; methods;
numerical; skipping method; stiff component; stiff
ordinary initial value problem; transient phase",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Katti:1980:FDS,
author = "C. P. Katti",
title = "Five-diagonal sixth order methods for two-point
boundary value problems involving fourth order
differential equations",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1177--1179",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L10",
MRnumber = "81k:65089",
MRreviewer = "David K. Kahaner",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4170 (Differential equations)",
corpsource = "Dept. of Math., Indian Inst. of Technol., New Delhi,
India",
keywords = "boundary; boundary-value problems; coefficient matrix;
condition; difference equations; differential
equations; five diagonal system; fourth order
differential equation; linear; numerical methods; point
boundary value problem; sixth order method; two",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Corliss:1980:IOC,
author = "George F. Corliss",
title = "Integrating {ODE}s in the complex plane---pole
vaulting",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1181--1189",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L05 (34A20)",
MRnumber = "81m:65115",
MRreviewer = "Jack Williams",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4170 (Differential equations); C4180 (Integral
equations)",
corpsource = "Dept. of Math. and Statistics, Marquette Univ.,
Milwaukee, WI, USA",
keywords = "complex plane pole vaulting; derivative; differential
equations; integration; method; multistep method;
numerical methods; path testing; Taylor series",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Neta:1980:DBP,
author = "Beny Neta",
title = "On determination of best-possible constants in
integral inequalities involving derivatives",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1191--1193",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "26D15 (46E30 65J99)",
MRnumber = "81m:26014",
MRreviewer = "J. Albrycht",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation);
C4180 (Integral equations)",
corpsource = "Dept. of Math. and Sci., Northern Illinois Univ.,
Dekalb, IL, USA",
keywords = "approximation theory; best possible constant; bound;
derivative; integral equations; integral inequalities;
L/sub 2/ norm; locally continuous space; lower bound;
upper",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Stynes:1980:FCB,
author = "Martin Stynes",
title = "On faster convergence of the bisection method for all
triangles",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1195--1201",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "51N99 (65B99 65N30)",
MRnumber = "81j:51023",
MRreviewer = "V. Pereyra",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4100 (Numerical analysis)",
corpsource = "Waterford Regional Tech. Coll., Waterford, Ireland",
keywords = "bisection method; convergence; finite element
analysis; lower bound; mesh; midpoint; triangle; upper
bound; vertices",
treatment = "T Theoretical or Mathematical",
}
@Article{Ferguson:1980:CJP,
author = "Warren E. {Ferguson, Jr.}",
title = "The construction of {Jacobi} and periodic {Jacobi}
matrices with prescribed spectra",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1203--1220",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65F30 (15A18 58F07 65L15)",
MRnumber = "82c:65027",
MRreviewer = "Ludwig Elsner",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4140 (Linear algebra)",
corpsource = "Math. Res. Center, Univ. of Wisconsin, Madison, WI,
USA",
keywords = "algorithms; Hill equation; inverse eigenvalue; matrix
algebra; periodic Jacobi matrice; spectral method;
Sturm Liouville equation; tridiagonal matrix",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Meinardus:1980:OPN,
author = "G{\"u}nter Meinardus and G. D. Taylor",
title = "Optimal Partitioning of {Newton}'s Method for
Calculating Roots",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1221--1230",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65H05 (41A30)",
MRnumber = "81j:65069",
MRreviewer = "Derek W. Arthur",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt; JSTOR
database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
corpsource = "Fachbereich Math., Univ. of Siegen, Siegen, West
Germany",
keywords = "cube root; domain interval; function approximation;
iterative methods; method; Newton; optimal
partitioning; reciprocal square root; square root;
subinterval",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Serbin:1980:FCC,
author = "Steven M. Serbin",
title = "On Factoring a Class of Complex Symmetric Matrices
Without Pivoting",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1231--1234",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65F05",
MRnumber = "81i:65025",
MRreviewer = "Eugene L. Wachspress",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database; Theory/Matrix.bib",
acknowledgement = ack-nhfb,
classcodes = "C4140 (Linear algebra)",
corpsource = "Dept. of Math., Univ. of Tennessee, Knoxville, TN,
USA",
keywords = "bandwidth; Cholesky; complex Hermitian; complex
symmetric matrice; decomposition; diagonal;
factorisation; matrix algebra; numerical methods;
pivoting; real Hermitian",
kwds = "nla, lud, complex matrix, symmetric matrix, pivoting",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Anand:1980:NSN,
author = "Indu Mati Anand",
title = "Numerical Stability of Nested Dissection Orderings",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1235--1249",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65F05 (65N20)",
MRnumber = "82c:65014",
MRreviewer = "Steven M. Serbin",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4140 (Linear algebra)",
keywords = "band; Cholesky; convergence of numerical methods;
definite matrices; discretisation; factorisation;
finite element analysis; matrix algebra; nested
dissection ordering; ordering; positive matrices;
sparse matrices",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Ericsson:1980:STL,
author = "Thomas Ericsson and Axel Ruhe",
title = "The spectral transformation {L{\'a}nczos} method for
the numerical solution of large sparse generalized
symmetric eigenvalue problems",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1251--1268",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65F15 (15A18 65N30)",
MRnumber = "83b:65034",
MRreviewer = "Alan L. Andrew",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "Parallel/par.lin.alg.bib; Theory/Matrix.bib; JSTOR
database",
acknowledgement = ack-nhfb,
classcodes = "C4140 (Linear algebra)",
corpsource = "Dept. of Numerical Analysis, Univ. Umea, Umea,
Sweden",
keywords = "factorization; finite element analysis; generalized;
Lanczos method; large sparse eigenvalue; linear system
routine; matrix algebra; spectral transformation;
subspace iteration; symmetric eigenvalue",
kwds = "nla, geig, Lanczos algorithm, symmetric matrix",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Martins:1980:AOI,
author = "M. Madalena Martins",
title = "On an accelerated overrelaxation iterative method for
linear systems with strictly diagonally dominant
matrix",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1269--1273",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65F10",
MRnumber = "83h:65045",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4140 (Linear algebra)",
corpsource = "Dept. of Math., Univ. of Coimbra, Coimbra, Portugal",
keywords = "accelerated overrelaxation method; eigenvalue; linear
algebra; linear systems; lower bound; relaxation
theory; strictly diagonally dominant matrix",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Rabinowitz:1980:EDP,
author = "Philip Rabinowitz",
title = "The exact degree of precision of generalized
{Gauss--Kronrod} integration rules",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1275--1283",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D30",
MRnumber = "81j:65047",
MRreviewer = "David K. Kahaner",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4180 (Integral equations)",
corpsource = "Dept. of Appl. Math., Weizmann Inst. of Sci., Rehovot,
Israel",
keywords = "Gauss Kronrod integration; Gegenbauer polynomial;
integration; Lobatto rule; numerical methods; weight
function",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{King:1980:EOP,
author = "Richard F. King",
title = "An efficient one-point extrapolation method for linear
convergence",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1285--1290",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65B99 (65H05)",
MRnumber = "82b:65004",
MRreviewer = "Thomas A. Atchison",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database; Theory/Matrix.bib",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
corpsource = "Argonne Nat. Lab., Argonne, IL, USA",
keywords = "approximation; convergence of numerical methods; error
equation; extrapolation; fixed point; function; linear
convergence; Newton method; nonlinear function; one;
point extrapolation",
kwds = "nlop, extrapolation",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Gatteschi:1980:SOP,
author = "Luigi Gatteschi",
title = "On Some Orthogonal Polynomial Integrals",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1291--1298",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A65",
MRnumber = "81h:33015",
MRreviewer = "T. S. Chihara",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4180 (Integral equations)",
corpsource = "Istituto di Calcoli Numerici, Univ. di Torino, Torino,
Italy",
keywords = "integral; integration; Laguerre polynomial;
logarithmic derivative; modified moment; numerical
methods; orthogonal polynomial; polynomial; shifted
Jacobi polynomial; weight function",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Vigneron:1980:GQI,
author = "J. P. Vigneron and Ph. Lambin",
title = "{Gaussian} quadrature of integrands involving the
error function",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1299--1307",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65A05 (65D30)",
MRnumber = "82b:65002",
MRreviewer = "M. M. Chawla",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4180 (Integral equations)",
corpsource = "Inst. de Phys., Univ. de Liege, Liege, Belgium",
keywords = "error function; factors; Gaussian quadrature; grid
spacing; integrand; integration; numerical methods;
orthogonal polynomial; positive real axis; quadrature;
weight; weight function",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Boyd:1980:RCH,
author = "John P. Boyd",
title = "The Rate of Convergence of {Hermite} Function Series",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1309--1316",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "42C10",
MRnumber = "81h:42020",
MRreviewer = "R. A. Askey",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Atmospheric and Oceanic Sci., Univ. of
Michigan, Ann Arbor, MI, USA",
keywords = "asymptotic behaviour; convergence of numerical
methods; expansion; Hermite function series; infinite
subsequence; polynomials; Taylor",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Cruz:1980:MPR,
author = "Andr{\'e}s Cruz and Javier Sesma",
title = "Modulus and phase of the reduced logarithmic
derivative of the cylindrical {Bessel} function",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1317--1324",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A40 (65H05)",
MRnumber = "82b:33010",
MRreviewer = "H. E. Fettis",
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. de Fisica Teorica, Univ. de Zaragoza, Zaragoza,
Spain",
keywords = "complex variable; cylindrical Bessel function;
derivative; function approximation; half integer index;
logarithmic; modulus; phase; reduced logarithm; saddle
points",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Fettis:1980:STI,
author = "Henry E. Fettis",
title = "On Some Trigonometric Integrals",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1325--1329",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A15 (33A10 33A70)",
MRnumber = "82c:33003a",
MRreviewer = "E. R. Love",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4180 (Integral equations)",
keywords = "closed form expression; complex; integration; plane;
trigonometric integrals",
treatment = "T Theoretical or Mathematical",
}
@Article{Levin:1980:ACI,
author = "David Levin",
title = "On accelerating the convergence of infinite double
series and integrals",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1331--1345",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65B10 (65D15)",
MRnumber = "82b:65003",
MRreviewer = "Thomas A. Atchison",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation);
C4180 (Integral equations)",
corpsource = "Dept. of Math. Sci., Tel-Aviv Univ., Ramat-Aviv,
Israel",
keywords = "approximant; convergence of numerical methods;
infinite double series; integrals; integration;
N-dimensional series; Pad{\'e}; polynomials; power
series",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Wilker:1980:EAS,
author = "Peter Wilker",
title = "An Efficient Algorithmic Solution of the {Diophantine}
Equation $u^2 + 5v^2 = m$",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1347--1352",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10B05 (10-04 10A25)",
MRnumber = "81m:10021",
MRreviewer = "R. P. Brent",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4140 (Linear algebra)",
corpsource = "Univ. Bern, Bern, Switzerland",
keywords = "algorithm; Diophantine equation; Euclidean space;
linear algebra; prime; recursive sequence;
solvability",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Willett:1980:AFF,
author = "Michael Willett",
title = "Arithmetic in a Finite Field",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1353--1359",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "12-04 (68C20)",
MRnumber = "81k:12003",
MRreviewer = "J. C. Lagarias",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C5230 (Digital arithmetic methods)",
corpsource = "Dept. of Math., Univ. of North Carolina, Greensboro,
NC, USA",
keywords = "addition; algorithm; digital arithmetic; error
correcting code; finite field arithmetic; integer;
integer multiplication; linear recursion; polynomial
arithmetic",
treatment = "T Theoretical or Mathematical",
}
@Article{Boyd:1980:RPH,
author = "David W. Boyd",
title = "Reciprocal Polynomials Having Small Measure",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1361--1377",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "30C15 (12-04 26C05 65D20)",
MRnumber = "82a:30005",
MRreviewer = "M. Marden",
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., Univ. of British Columbia, Vancouver,
BC, Canada",
keywords = "algorithm; cyclotomic series; Graeffe method; integer
coefficients; Kronecker theorem; monic polynomial;
polynomials; root; squaring method",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Brillhart:1980:NIT,
author = "John Brillhart",
title = "Note on Irreducibility Testing",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1379--1381",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "12-04 (10M05 68C20)",
MRnumber = "83g:12002",
MRreviewer = "Maurice Mignotte",
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., Univ. of Arizona, Tucson, AZ, USA",
keywords = "complex plane; factor; integer coefficient;
irreducibility; lie; polynomials; prime value; single
occurrence; zero modulus",
treatment = "T Theoretical or Mathematical",
}
@Article{Setzer:1980:DAI,
author = "Bennett Setzer",
title = "The determination of all imaginary, quartic, {Abelian}
number fields with class number $1$",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1383--1386",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "12A30 (12A50)",
MRnumber = "81k:12005",
MRreviewer = "T. Mets{\"a}nkyl{\"a}",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); C5230 (Digital arithmetic methods)",
corpsource = "Math. Dept., Univ. of Illinois, Chicago, IL, USA",
keywords = "Abelian number field; bicyclic quartic field;
conductor; number theory; prime; quartic cyclic field;
quartic residue",
treatment = "T Theoretical or Mathematical",
}
@Article{Noll:1980:MP,
author = "Curt Noll and Laura Nickel",
title = "The $25$th and $26$th {Mersenne} Primes",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1387--1390",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A25",
MRnumber = "81k:10010",
MRreviewer = "V. C. Harris",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); C5230 (Digital arithmetic methods)",
corpsource = "California State Univ., Hayward, CA, USA",
keywords = "enumeration; factor; Mersenne prime; number theory",
treatment = "T Theoretical or Mathematical",
}
@Article{Baillie:1980:LP,
author = "Robert Baillie and Samuel S. {Wagstaff, Jr.}",
title = "{Lucas} Pseudoprimes",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1391--1417",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A25",
MRnumber = "81j:10005",
MRreviewer = "V. C. Harris",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); C5230 (Digital arithmetic methods)",
corpsource = "Univ. of Illinois, Urbana, IL, USA",
keywords = "Little theorem; Lucas sequence; number theory;
pseudoprime",
treatment = "T Theoretical or Mathematical",
}
@Article{Cormack:1980:SVL,
author = "G. V. Cormack and H. C. Williams",
title = "Some Very Large Primes of the Form $k \cdot 2^m + 1$",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1419--1421",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A25",
MRnumber = "81i:10011",
MRreviewer = "T. M. Apostol",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); C5230 (Digital arithmetic methods)",
corpsource = "Dept. of Computer Sci., Univ. of Manitoba, Winnipeg,
Man., Canada",
keywords = "bisection; factor; Fermat number; multiplication;
number theory; recursive; very large prime",
treatment = "T Theoretical or Mathematical",
}
@Article{Williams:1980:ISC,
author = "H. C. Williams",
title = "Improving the speed of calculating the regulator of
certain pure cubic fields",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1423--1434",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "12A30",
MRnumber = "82a:12003",
MRreviewer = "D. H. Lehmer",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); C5230 (Digital arithmetic methods)",
corpsource = "Dept. of Computer Sci., Univ. of Manitoba, Winnipeg,
Man., Canada",
keywords = "discriminant; divisor; fraction algorithm; function;
number theory; prime; pure cubic field; regulator;
square free; Voronoi algorithm",
treatment = "T Theoretical or Mathematical",
}
@Article{Brent:1980:FOC,
author = "Richard P. Brent",
title = "The First Occurrence of Certain Large Prime Gaps",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1435--1436",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10-04 (10A25 65A05)",
MRnumber = "81g:10002",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); C5230 (Digital arithmetic methods)",
corpsource = "Dept. of Computer Sci., Australian Nat. Univ.,
Canberra, ACT, Australia",
keywords = "asymptotic; behaviour; consecutive composite number;
integer; number theory; prime",
treatment = "T Theoretical or Mathematical",
}
@Article{Backstrom:1980:TEM,
author = "Robert P. Backstrom",
title = "Table errata: {``A method of factoring and the
factorization of $F_{7}$''} {[Math. Comp. {\bf 29}
(1975), 183--205, MR {\bf 51} \#8017] by M. A. Morrison
and J. Brillhart}",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1444--1444",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A25",
MRnumber = "82b:10009",
bibdate = "Wed Jan 15 09:14:29 1997",
acknowledgement = ack-nhfb,
}
@Article{CarlsonGallas:1980:TET,
author = "Jason A. {Carlson Gallas}",
title = "Table errata: {{\em Table of integrals, series Gallas
and products} [English translation of the fourth
Russian edition, Academic Press, New York, 1965 and MR
{\bf 33} \#5952] by I. S. Grad{\v{s}}te{\u{\i}}n and I.
M. Ry{\v{z}}ik.}",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1444--1444",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65A05",
MRnumber = "82c:65003",
bibdate = "Wed Jan 15 08:37:24 1997",
acknowledgement = ack-nhfb,
}
@Article{Krogh:1980:CRR,
author = "Fred T. Krogh",
title = "Corrigendum: {``Recurrence relations for computing
with modified divided differences''} {[Math. Comp. {\bf
33} (1979), no. 148, 1265--1271, MR 80f:65094]}",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1445--1445",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65Q05 (65D99)",
MRnumber = "82c:65087",
bibdate = "Wed Jan 15 08:38:14 1997",
acknowledgement = ack-nhfb,
}
@Article{deBoor:1981:CAE,
author = "Carl {de Boor} and Blair Swartz",
title = "Collocation approximation to eigenvalues of an
ordinary differential equation: numerical
illustrations",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "1--19",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L15",
MRnumber = "82c:65053",
MRreviewer = "Steven M. Serbin",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4170 (Differential equations)",
corpsource = "Univ. of Wisconsin, Madison, WI, USA",
keywords = "approximate; bounds; collocation approximation;
differential equations; eigenvalue problems;
eigenvalues; eigenvalues and eigenfunctions; error;
ordinary differential equation; ordinary differential
operators",
treatment = "T Theoretical or Mathematical",
}
@Article{deBoor:1981:LPP,
author = "Carl {de Boor} and Blair Swartz",
title = "Local piecewise polynomial projection methods for an
{O.D.E.} which give high-order convergence at knots",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "21--33",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L15",
MRnumber = "82f:65091",
MRreviewer = "Steven M. Serbin",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4170 (Differential equations)",
corpsource = "Univ. of Wisconsin, Madison, WI, USA",
keywords = "boundary value problem; boundary-value problems;
collocation; convergence of numerical methods;
differential equation; differential equations;
eigenvalue problems; ordinary; piecewise polynomials;
superconvergence",
treatment = "T Theoretical or Mathematical",
}
@Article{Bank:1981:OOP,
author = "Randolph E. Bank and Todd Dupont",
title = "An optimal order process for solving finite element
equations",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "35--51",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30 (65F10)",
MRnumber = "82b:65113",
MRreviewer = "I. Norman Katz",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database; Parallel/mgnet.bib;
Parallel/Multi.grid.bib; Theory/o_ccd.bib",
acknowledgement = ack-nhfb,
classcodes = "C4140 (Linear algebra)",
corpsource = "Univ. of Texas, Austin, TX, USA",
keywords = "algebraic equations; boundary-value problems; elliptic
boundary value; finite element analysis; finite element
equations; iterative; linear algebra; methods; optimal
order process; problems; procedure",
treatment = "T Theoretical or Mathematical",
}
@Article{Arnold:1981:SFE,
author = "Douglas N. Arnold and Jim {Douglas, Jr.} and Vidar
Thom{\'e}e",
title = "Superconvergence of a finite element approximation to
the solution of a {Sobolev} equation in a single space
variable",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "53--63",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30 (35K70)",
MRnumber = "82f:65108",
MRreviewer = "J. D. Atkinson",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4170 (Differential equations)",
corpsource = "Univ. of Maryland, College Park, MD, USA",
keywords = "convergence of numerical methods; differential
equations; finite element analysis; finite element
approximation; Galerkin; method; quasilinear equation;
Sobolev equation; superconvergence",
treatment = "T Theoretical or Mathematical",
}
@Article{Winther:1981:SFE,
author = "Ragnar Winther",
title = "A stable finite element method for initial-boundary
value problems for first-order hyperbolic systems",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "65--86",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30",
MRnumber = "81m:65181",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4170 (Differential equations); C4180 (Integral
equations)",
corpsource = "Dept. of Maths., Univ. of Chicago, Chicago, IL, USA",
keywords = "differential equations; finite element analysis;
finite element method; first-order hyperbolic systems;
initial; initial-boundary value problems; value
problems",
treatment = "T Theoretical or Mathematical",
}
@Article{Layton:1981:EDD,
author = "William J. Layton",
title = "Estimates away from a discontinuity for dissipative
{Galerkin} methods for hyperbolic equations",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "87--92",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30 (65M15)",
MRnumber = "82b:65129",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4170 (Differential equations)",
corpsource = "Dept. of Maths., Univ. of Tennessee, Knoxville, TN,
USA",
keywords = "discontinuity; dissipative Galerkin methods;
hyperbolic equations; initial; initial value problems;
partial differential equations; value problem",
treatment = "T Theoretical or Mathematical",
}
@Article{LeRoux:1981:SNS,
author = "A. Y. {Le Roux}",
title = "Stability of Numerical Schemes Solving Quasi-Linear
Wave Equations",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "93--105",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M10 (35L67)",
MRnumber = "82b:65088",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4170 (Differential equations)",
corpsource = "Lab. d'Analyse Numerique, Rennes, France",
keywords = "boundary; conditions; equations; numerical schemes;
partial differential equations; quasi-linear wave;
Riemann invariants; Riemann problem; shock curves;
stability",
treatment = "T Theoretical or Mathematical",
}
@Article{Gottlieb:1981:SPC,
author = "David Gottlieb",
title = "The Stability of Pseudospectral-{Chebyshev} Methods",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "107--118",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30 (65N35)",
MRnumber = "82b:65123",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
corpsource = "ICASE, NASA Langley Res. Center, Hampton, VA, USA",
keywords = "Chebyshev approximation; Chebyshev methods;
coefficient hyperbolic equations; collocation points;
hyperbolic problems; methods; parabolic problems;
pseudospectral-Chebyshev; stability; variable",
treatment = "T Theoretical or Mathematical",
}
@Article{Bardos:1981:VMF,
author = "Claude Bardos and Michel Bercovier and Olivier
Pironneau",
title = "The Vortex Method with Finite Elements",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "119--136",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30 (65M25 76C05)",
MRnumber = "82c:65066",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4170 (Differential equations)",
corpsource = "Dept. of Maths., Univ. of Paris, Paris, France",
keywords = "convergence; convergence of numerical methods;
differential equations; Euler's equation; finite
element analysis; finite element triangulation; finite
elements; numerical solution; partial; partial
differential equations; vortex method",
treatment = "T Theoretical or Mathematical",
}
@Article{Descloux:1981:ASC,
author = "Jean Descloux and Mitchell Luskin and Jacques Rappaz",
title = "Approximation of the spectrum of closed operators: the
determination of normal modes of a rotating basin",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "137--154",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30 (47A10 65J10)",
MRnumber = "83h:65123",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "A0260 (Numerical approximation and analysis); A0420C
(Fundamental problems and general formalism in general
relativity); A4730 (Rotational flow, vortices, buoyancy
and other flows involving body forces); A4775
(Relativistic fluid dynamics); C4170 (Differential
equations)",
corpsource = "Ecole Polytech. Federale, Lausanne, Switzerland",
keywords = "Banach spaces; differential; differential equations;
finite element analysis; finite element procedure;
general relativity; partial; perturbation theory;
relativistic fluid dynamics; rotating basin; rotational
flow; spectral approximation; system",
treatment = "T Theoretical or Mathematical",
}
@Article{Munz:1981:UEC,
author = "Harry Munz",
title = "Uniform expansions for a class of finite difference
schemes for elliptic boundary value problems",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "155--170",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N05",
MRnumber = "82b:65098",
MRreviewer = "L. Fox",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4170 (Differential equations); C4180 (Integral
equations)",
corpsource = "Inst. fur Biologie, Tubingen, West Germany",
keywords = "approximate solution; boundary-value problems;
Dirichlet problem; elliptic boundary value problems;
error bounds; finite difference schemes",
treatment = "T Theoretical or Mathematical",
}
@Article{Iserles:1981:QMS,
author = "A. Iserles",
title = "Quadrature methods for stiff ordinary differential
systems",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "171--182",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L05",
MRnumber = "83h:65084",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4170 (Differential equations)",
corpsource = "Kings Coll., Univ. of Cambridge, Cambridge, UK",
keywords = "A-stable; convolution formula; differential equations;
first approximations; quadrature methods; stiff
ordinary differential systems",
treatment = "T Theoretical or Mathematical",
}
@Article{Avdelas:1981:OAO,
author = "G. Avdelas and A. Hadjidimos",
title = "Optimum accelerated overrelaxation method in a special
case",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "183--187",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65F10",
MRnumber = "82c:65016",
MRreviewer = "L. Hageman",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4140 (Linear algebra)",
corpsource = "Dept. of Maths., Univ. of Ioannina, Ioannia, Greece",
keywords = "accelerated overrelaxation method; convergence;
convergence of numerical methods; linear algebra;
linear system; matrix coefficient; nonvanishing
diagonal elements; optimum AOR method; rates;
relaxation; theory",
treatment = "T Theoretical or Mathematical",
}
@Article{Fornberg:1981:VIF,
author = "Bengt Fornberg",
title = "A vector implementation of the fast {Fourier}
transform algorithm",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "189--191",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4190 (Other numerical methods)",
corpsource = "Dept. of Appl. Maths., California Inst. of Technol.,
Pasadena, CA, USA",
keywords = "algorithm; CDC STAR-100; fast Fourier transform; fast
Fourier transforms; FFT; tables; trigonometric; vector
computer; vector implementation",
treatment = "T Theoretical or Mathematical",
}
@Article{Thomas:1981:GMS,
author = "K. S. Thomas",
title = "{Galerkin} Methods for Singular Integral Equations",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "193--205",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65R20 (45F99)",
MRnumber = "82c:65092",
MRreviewer = "Baruch Cahlon",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4110 (Error analysis in numerical methods); C4180
(Integral equations)",
corpsource = "Univ. of Southampton, Southampton, UK",
keywords = "approximate solution; bounds; error; error analysis;
Galerkin methods; integral equations; singular integral
equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Schneider:1981:PIW,
author = "Claus Schneider",
title = "Product integration for weakly singular integral
equations",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "207--213",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65R20 (45L05)",
MRnumber = "82c:65090",
MRreviewer = "P. M. Anselone",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4180 (Integral equations)",
corpsource = "Johannes Gutenberg Univ. Mainz, West Germany",
keywords = "derivative singularities; integral equations; method;
nonuniform mesh; numerical methods; numerical solution;
product integration; weakly singular integral
equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Hemker:1981:MGM,
author = "P. W. Hemker and H. Schippers",
title = "Multiple grid methods for the solution of {Fredholm}
integral equations of the second kind",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "215--232",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65R20 (45L10)",
MRnumber = "81m:65197",
MRreviewer = "Frank G. Hagin",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database; Parallel/mgnet.bib;
Parallel/Multi.grid.bib",
acknowledgement = ack-nhfb,
classcodes = "C4180 (Integral equations); C4240 (Programming and
algorithm theory)",
corpsource = "Stitching Math. Centrum, Amsterdam, Netherlands",
keywords = "asymptotic computational; complexity; computational
complexity; direct interpolation; Fredholm integral
equations; integral equations; iterative; methods;
multiple grid methods; numerical methods; rates of
convergence",
treatment = "T Theoretical or Mathematical",
}
@Article{Glashoff:1981:NMC,
author = "K. Glashoff and K. Roleff",
title = "A new method for {Chebyshev} approximation of
complex-valued functions",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "233--239",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D15 (30E10 90C30)",
MRnumber = "82c:65011",
MRreviewer = "Wolfgang Wetterling",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
corpsource = "Univ. Hamburg, Hamburg, West Germany",
keywords = "Chebyshev approximation; Chebyshev approximation
problem; complex-valued functions; linear optimization;
optimisation; optimization problems",
treatment = "T Theoretical or Mathematical",
}
@Article{Mahoney:1981:PFE,
author = "J. F. Mahoney",
title = "Partial fraction evaluation by an escalation
technique",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "241--246",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D15",
MRnumber = "81k:65019",
MRreviewer = "E. Frank",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4120 (Functional analysis)",
corpsource = "Univ. of Florida, Gainesville, FL, USA",
keywords = "escalation technique; function evaluation; numerical
methods; partial fraction expansions; poles and zeros;
proper rational function; zeros",
treatment = "T Theoretical or Mathematical",
}
@Article{McCullagh:1981:RCS,
author = "Peter McCullagh",
title = "A rapidly convergent series for computing $\psi (z)$
and its derivatives",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "247--248",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D20 (33A15)",
MRnumber = "81m:65028",
MRreviewer = "J. Gregor",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4120 (Functional analysis)",
corpsource = "Imperial Coll. of Sci. and Technol., London, UK",
keywords = "(mathematics); convergence; function evaluation; log
gamma function; poles; poles and zeros; rapidly
convergent series; series; series expansion; uniformly
convergent",
treatment = "T Theoretical or Mathematical",
}
@Article{Shepherd:1981:CA,
author = "M. M. Shepherd and J. G. Laframboise",
title = "{Chebyshev} Approximation of $(1 +
2x)\exp(x^2)\operatorname{erfc} x$ in $0 \leq x <
\infty$",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "249--253",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D20",
MRnumber = "83c:65029",
MRreviewer = "John P. Coleman",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
corpsource = "York Univ., Toronto, Ont., Canada",
keywords = "(1+2x)exp(x/sup 2/)erfc x; Chebyshev approximation;
Chebyshev expansion; erfc x; single",
treatment = "T Theoretical or Mathematical",
}
@Article{Dixon:1981:AFF,
author = "John D. Dixon",
title = "Asymptotically Fast Factorization of Integers",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "255--260",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A30 (10A25)",
MRnumber = "82a:10010",
MRreviewer = "H. L. Abbott",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1160 (Combinatorial mathematics); C4140 (Linear
algebra)",
corpsource = "Carleton Univ., Ottawa, Ont., Canada",
keywords = "composite integer; factoring integers; fast
factorization; integers; linear algebra; number theory;
probabilistic algorithm",
treatment = "T Theoretical or Mathematical",
}
@Article{Adleman:1981:PTA,
author = "Leonard Adleman and Frank Thomson Leighton",
title = "An ${O}(n^{1/10.89})$ Primality Testing Algorithm",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "261--266",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A25 (10-04 68C25)",
MRnumber = "82c:10009",
MRreviewer = "D. H. Lehmer",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1160 (Combinatorial mathematics); C4240 (Programming
and algorithm theory)",
corpsource = "Dept. of Math., MIT, Cambridge, MA, USA",
keywords = "complexity theory; computational complexity;
deterministic algorithm; number theory; primality;
primality testing algorithm",
treatment = "T Theoretical or Mathematical",
}
@Article{Land:1981:CPP,
author = "Rudolf Land",
title = "Computation of {P{\'o}lya} Polynomials of Primitive
Permutation Group",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "267--278",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "20B99 (12F10 20-04)",
MRnumber = "82c:20010",
MRreviewer = "N. G. de Bruijn",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1110 (Algebra); C1160 (Combinatorial mathematics)",
corpsource = "Math. Inst., Univ. zu Koln, Koln, West Germany",
keywords = "number theory; number-; Polya polynomials;
polynomials; primitive permutation groups; theoretical
interpretation; van der Waerden's test",
treatment = "T Theoretical or Mathematical",
}
@Article{Weintraub:1981:LPG,
author = "Sol Weintraub",
title = "A Large Prime Gap",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "279--279",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A25",
MRnumber = "81k:10011",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1160 (Combinatorial mathematics)",
corpsource = "Dept. of Math., Queens Coll., City Univ. of New York,
Flushing, NY, USA",
keywords = "large prime gap; number theory; prime gap",
treatment = "T Theoretical or Mathematical",
}
@Article{Gunji:1981:PFF,
author = "Hiroshi Gunji and Dennis Arnon",
title = "On Polynomial Factorization Over Finite Fields",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "281--287",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "12-04",
MRnumber = "82c:12002",
MRreviewer = "Maurice Mignotte",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1110 (Algebra); C4130 (Interpolation and function
approximation)",
corpsource = "Dept. of Math., Univ. of Wisconsin, Madison, WI, USA",
keywords = "endomorphism; finite fields; Frobenius; polynomial
factorization; polynomials; streamlined proofs",
treatment = "T Theoretical or Mathematical",
}
@Article{Lehmer:1981:FQB,
author = "D. H. Lehmer",
title = "On {Fermat}'s Quotient, Base Two",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "289--290",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10-04",
MRnumber = "82e:10004",
MRreviewer = "M. C. Wunderlich",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4140 (Linear algebra)",
corpsource = "Dept. of Math., Univ. of California, Berkeley, CA,
USA",
keywords = "congruence; Fermat's quotient; linear algebra; number
theory; p=1093; p=3511",
treatment = "T Theoretical or Mathematical",
}
@Article{Shanks:1981:GFF,
author = "Daniel Shanks and H. C. Williams",
title = "{Gunderson}'s Function in {Fermat's Last Theorem}",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "291--295",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10-04 (10B15)",
MRnumber = "82g:10004",
MRreviewer = "Mohan Nair",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1160 (Combinatorial mathematics); C4140 (Linear
algebra)",
corpsource = "Dept. of Math., Univ. of Maryland, College Park, MD,
USA",
keywords = "criterion; Fermat's last theorem; Gunderson's
function; number theory; prime bases; Wieferich",
treatment = "T Theoretical or Mathematical",
}
@Article{teRiele:1981:HNT,
author = "Herman J. J. {te Riele}",
title = "Hyperperfect Numbers With Three Different Prime
Factors",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "297--298",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A20 (10A40)",
MRnumber = "82c:10006",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1160 (Combinatorial mathematics)",
corpsource = "Math. Centre, Amsterdam, Netherlands",
keywords = "hyperperfect numbers; number theory; prime factors",
treatment = "T Theoretical or Mathematical",
}
@Article{Hagis:1981:UHN,
author = "Peter {Hagis, Jr.}",
title = "Unitary Hyperperfect Numbers",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "299--301",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A20 (10-04)",
MRnumber = "81m:10008",
MRreviewer = "Duncan A. Buell",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1160 (Combinatorial mathematics)",
corpsource = "Dept. of Math., Temple Univ., Philadelphia, PA, USA",
keywords = "hyperperfect numbers; number theory; unitary; unitary
perfect numbers",
treatment = "T Theoretical or Mathematical",
}
@Article{Borho:1981:SLP,
author = "W. Borho",
title = "Some Large Primes and Amicable Numbers",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "303--304",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A40 (10A25)",
MRnumber = "82d:10021",
MRreviewer = "Kenneth A. Jukes",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1160 (Combinatorial mathematics)",
corpsource = "Univ. Gesamthochschule Wuppertal, Wuppertal, West
Germany",
keywords = "amicable number pairs; amicable numbers; large primes;
number theory; Thabit rules",
treatment = "T Theoretical or Mathematical",
}
@Article{Fettis:1981:TEHa,
author = "Henry E. Fettis",
title = "Table errata: {{\em Higher transcendental functions,
Vol. II} [McGraw-Hill, New York, 1953, F. Oberhettinger
{MR {\bf 15}, 419}] by A. Erd{\'e}lyi, W. Magnus and F.
G. Tricomi}",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "315--315",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65A05",
MRnumber = "82g:65007b, 82g:65007a",
bibdate = "Sat Apr 12 15:32:32 1997",
acknowledgement = ack-nhfb,
}
@Article{Temme:1981:TEF,
author = "N. M. Temme",
title = "Table errata: {{\em Formulas and theorems for the
special functions of mathematical physics} [third
edition, Springer, New York, 1966 and F. Oberhettinger
MR {\bf 38} \#1291] by W. Magnus and R. P. Soni.}",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "315--316",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65A05",
MRnumber = "82a:65011a",
bibdate = "Sat Jan 11 13:29:06 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Pexton:1981:TEF,
author = "Robert L. Pexton",
title = "Table errata: {{\em Formulas and theorems for the
special functions of mathematical physics} [third
edition, Springer, New York, 1966 and F. Oberhettinger
MR {\bf 38} \#1291] by W. Magnus and R. P. Soni.}",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "316--317",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65A05",
MRnumber = "82a:65011b",
bibdate = "Sat Jan 11 13:29:06 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Fettis:1981:TEHb,
author = "Henry E. Fettis",
title = "Table errata: {{\em Handbook of elliptic integrals for
engineers and physicists} [second edition, Springer,
New York, 1971 and MR {\bf 43} \#3506] by P. F. Byrd
and M. D. Friedman.}",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "317--317",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65A05",
MRnumber = "82a:65008a",
bibdate = "Sat Apr 12 15:32:35 1997",
acknowledgement = ack-nhfb,
}
@Article{Fettis:1981:TETa,
author = "Henry E. Fettis",
title = "Table errata: {{\em Table of integrals, series, and
products} [English translation of the fourth Russian
edition, Academic Press, New York, 1965; MR {\bf 33}
\#5952] by I. S. Gradshteyn [I. S.
Grad{\v{s}}te{\u{\i}}n] and I. M. Ryzhik [I. M.
Ry{\v{z}}ik].}",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "317--318, 320",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "320.65A05",
MRnumber = "82a:65009",
bibdate = "Sat Jan 11 13:29:06 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Fettis:1981:TETb,
author = "Henry E. Fettis",
title = "Table errata: {{\em A table of the complete elliptic
integral of the first kind for complex values of the
modulus, Part I} [Rep. No. ARL 69-0172, Aerospace Res.
Lab., Wright--Patterson Air Force Base, Ohio, 1969; MR
{\bf 40} \#6725] by Fettis and J. C. Caslin}",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "318",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "318.65A05",
MRnumber = "82a:65010",
bibdate = "Sat Jan 11 13:29:06 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Stuart:1981:TEC,
author = "S. N. Stuart",
title = "Table errata: {{\em A course of modern analysis}
[fourth edition, Cambridge Univ. Press, Cambridge 1927
and 180] by E. T. Whittaker Jbuch {\bf 53} and G. N.
Watson}",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "319--319",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33-01",
MRnumber = "82b:33001",
bibdate = "Wed Jan 15 08:39:17 1997",
acknowledgement = ack-nhfb,
}
@Article{Salzer:1981:EHN,
author = "Herbert E. Salzer",
title = "Errata: {{\em A history of numerical analysis from the
16th through the 19th century} [Springer, New York,
1977]. MR {\bf 58} \#4774 by H. H. Goldstine}",
journal = j-MATH-COMPUT,
volume = "36",
number = "153",
pages = "319--320",
month = jan,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "01A05 (01A50 01A55 65-03)",
MRnumber = "82b:01001",
bibdate = "Sat Jan 11 13:29:06 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Engquist:1981:OSD,
author = "Bj{\"o}rn Engquist and Stanley Osher",
title = "One-sided difference approximations for nonlinear
conservation laws",
journal = j-MATH-COMPUT,
volume = "36",
number = "154",
pages = "321--351",
month = apr,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M10 (35L67 65M05)",
MRnumber = "82c:65056",
MRreviewer = "J. R. Cannon",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations); C7320 (Physics and chemistry computing)",
keywords = "difference equations; differential equations; digital
simulation; discontinuity; entropy; existence;
expansion shock; finite difference; hyperbolic;
monotone shock; nonlinear conservation law; nonlinear
stability; partial; partial differential equation;
physics computing; sharp shock; shock waves; space
variable; uniqueness",
treatment = "T Theoretical or Mathematical; X Experimental",
}
@Article{Harten:1981:FOA,
author = "Amiram Harten and Hillel Tal-Ezer",
title = "On a fourth order accurate implicit finite difference
scheme for hyperbolic conservation laws. {I}. Nonstiff
strongly dynamic problems",
journal = j-MATH-COMPUT,
volume = "36",
number = "154",
pages = "353--373",
month = apr,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M05 (35L65 76L05)",
MRnumber = "83b:65088a",
MRreviewer = "Vassilios A. Dougalis",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "ICASE, NASA Langley Res. Center, Hampton, VA, USA",
keywords = "Courant-Friedrichs-Lewy; Crank-Nicholson scheme;
difference equations; dimensional system; finite
difference scheme; hyperbolic conservation laws;
Jacobian; matrix; mesh point; mesh points; one-;
partial differential equations; spatial derivative;
vector value function",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Richter:1981:NIS,
author = "Gerard R. Richter",
title = "Numerical identification of a spatially varying
diffusion coefficient",
journal = j-MATH-COMPUT,
volume = "36",
number = "154",
pages = "375--386",
month = apr,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M05 (65M10)",
MRnumber = "82c:65055",
MRreviewer = "J. R. Cannon",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations); C7440 (Civil and mechanical engineering
computing)",
keywords = "civil engineering computing; difference scheme;
differential equations; diffusion coefficient; digital
simulation; first order hyperbolic; groundwater flow;
oil reservoir; partial; relaxation theory; space
variable; tangent vector; transmissivity; upwind",
treatment = "T Theoretical or Mathematical; X Experimental",
}
@Article{Goldstein:1981:FEM,
author = "C. I. Goldstein",
title = "The finite element method with nonuniform mesh sizes
for unbounded domains",
journal = j-MATH-COMPUT,
volume = "36",
number = "154",
pages = "387--404",
month = apr,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30",
MRnumber = "82b:65121",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4170 (Differential equations)",
keywords = "artificial; boundary; elliptic boundary; error
estimate; finite element analysis; graded mesh;
nonuniform mesh size; partial differential equations;
unbounded domains",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Djaoua:1981:MCL,
author = "M. Djaoua",
title = "A method of calculation of lifting flows around
two-dimensional corner-shaped bodies",
journal = j-MATH-COMPUT,
volume = "36",
number = "154",
pages = "405--425",
month = apr,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "76B05 (45L10)",
MRnumber = "82c:76011",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "A4715C (Laminar boundary layers); B0290R (Integral
equations)C4180 (Integral equations); C7320 (Physics
and chemistry computing)",
keywords = "boundary layers; collocation method; corner-shaped
body; digital simulation; Dirichlet boundary; Fredholm
equation; integral equations; lifting flows; numerical
methods; physics computing; potential; single layer;
von Neumann problem",
treatment = "T Theoretical or Mathematical; X Experimental",
}
@Article{Mercier:1981:EAM,
author = "B. Mercier and J. Osborn and J. Rappaz and P.-A.
Raviart",
title = "Eigenvalue Approximation by Mixed and Hybrid Methods",
journal = j-MATH-COMPUT,
volume = "36",
number = "154",
pages = "427--453",
month = apr,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N25 (65N15 65N30)",
MRnumber = "82b:65108",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4140 (Linear
algebra); C4170 (Differential equations)",
keywords = "convergence rate; differential equations; eigenvalues
and eigenfunctions; finite element analysis; Hilbert
space; hybrid finite element method; mixed finite
element method; spectral approximation; Stokes
eigenvalue",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Delfour:1981:DGM,
author = "M. Delfour and W. Hager and F. Trochu",
title = "Discontinuous {Galerkin} methods for ordinary
differential equations",
journal = j-MATH-COMPUT,
volume = "36",
number = "154",
pages = "455--473",
month = apr,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L10 (65N30)",
MRnumber = "82b:65066",
MRreviewer = "I. Norman Katz",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4170 (Differential equations)",
keywords = "dependent norm; discontinuity; discontinuous
polynomial; elliptic equation; Galerkin methods; mesh;
numerical methods; ordinary differential equation;
partial differential equations; piecewise; polynomial",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Rice:1981:PLS,
author = "John R. Rice and Elias N. Houstis and Wayne R.
Dyksen",
title = "A population of linear, second order, elliptic partial
differential equations on rectangular domains. Part
{I}",
journal = j-MATH-COMPUT,
volume = "36",
number = "154",
pages = "475--484",
month = apr,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N99 (65M99)",
MRnumber = "82c:65083",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4170 (Differential equations)",
keywords = "boundary; contour plots; domains; elliptic partial
differential equations; finite element analysis; linear
differential equations; partial differential equations;
quadratic interpolation; rectangular; series; series
expansion; software; truncated",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{McCormick:1981:MRM,
author = "Stephen F. McCormick",
title = "A Mesh Refinement Method for $Ax = \lambda Bx$",
journal = j-MATH-COMPUT,
volume = "36",
number = "154",
pages = "485--498",
month = apr,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N25 (65F15 65L15 65R99)",
MRnumber = "82d:65070",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "Parallel/mgnet.bib; Parallel/Multi.grid.bib; JSTOR
database",
acknowledgement = ack-nhfb,
classcodes = "C4140 (Linear algebra)",
keywords = "finite element analysis; free factorisation; inverse
iteration; matrix algebra; mesh refinement; multigrid
technique; multiplicity; partial eigenproblem;
symmetric matrix",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Shampine:1981:TIO,
author = "L. F. Shampine",
title = "Type-Insensitive {ODE} Codes Based on Implicit
${A}$-Stable Formulas",
journal = j-MATH-COMPUT,
volume = "36",
number = "154",
pages = "499--510",
month = apr,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4170 (Differential equations); C4180 (Integral
equations)",
keywords = "A-stable formula; Adams Moulton formula; algorithm;
differential equations; equations; initial value
problems; integration; iteration matrix; Jacobian;
numerical methods; ordinary differential; stiffness",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Sloan:1981:QMI,
author = "Ian H. Sloan",
title = "Quadrature methods for integral equations of the
second kind over infinite intervals",
journal = j-MATH-COMPUT,
volume = "36",
number = "154",
pages = "511--523",
month = apr,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65R20 (45B05)",
MRnumber = "82c:65091",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4180 (Integral equations)",
keywords = "convergence of numerical methods; convergence rate;
function; homogeneous equation; infinite intervals;
integral equations; Nystrom method; quadrature methods;
quadrature weight; scalar valued",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Bojanov:1981:UON,
author = "Borislav D. Bojanov",
title = "Uniqueness of the optimal nodes of quadrature
formulae",
journal = j-MATH-COMPUT,
volume = "36",
number = "154",
pages = "525--546",
month = apr,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D30 (41A55)",
MRnumber = "82d:65024",
MRreviewer = "M. I. Levin",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
keywords = "differentiable functions; endpoint; equidistant nodes;
finite interval; fixed multiplicities; function
approximation; linear functional; numerical methods;
quadrature formula; smooth function; uniqueness",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Gautschi:1981:MST,
author = "Walter Gautschi",
title = "Minimal solutions of three-term recurrence relations
and orthogonal polynomials",
journal = j-MATH-COMPUT,
volume = "36",
number = "154",
pages = "547--554",
month = apr,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A65 (65D20 65D30)",
MRnumber = "82m:33006",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
keywords = "continued fraction algorithm; distribution; expansion
coefficient; Gauss method; Jacobi; mass; moment
problem; moment sequence; numerical methods; orthogonal
polynomials; polynomials; quadrature formulas;
three-term recurrence",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Wrigge:1981:CTS,
author = "Staffan Wrigge",
title = "Calculation of the {Taylor} Series Expansion
Coefficients of the {Jacobian} Elliptic Function
$\mathrm{sn}(x, k)$",
journal = j-MATH-COMPUT,
volume = "36",
number = "154",
pages = "555--564",
month = apr,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D20 (33A25)",
MRnumber = "82d:65023",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation);
C4170 (Differential equations); C4180 (Integral
equations)",
keywords = "combinatorial expression; differential equations;
expansion coefficient; function; function
approximation; integrand; integration; inversion;
Jacobian elliptic; Lagrange; Legendre polynomials;
recurrence formula; series (mathematics); Taylor
series",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Hendy:1981:JPA,
author = "M. D. Hendy and N. S. Jeans",
title = "The {Jacobi--Perron} Algorithm in Integer Form",
journal = j-MATH-COMPUT,
volume = "36",
number = "154",
pages = "565--574",
month = apr,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A30 (12A45)",
MRnumber = "82j:10011",
MRreviewer = "Roger Paysant-Le Roux",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
keywords = "algorithm; approximation; approximation theory;
Bernstein theorem; continued fraction; decimal;
denominator; integer form; Jacobi--Perron algorithm;
numerator; quadratic number",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Mossige:1981:ACR,
author = "Svein Mossige",
title = "Algorithms for computing the $h$-range of the postage
stamp problem",
journal = j-MATH-COMPUT,
volume = "36",
number = "154",
pages = "575--582",
month = apr,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10L05 (10-04)",
MRnumber = "82e:10095",
MRreviewer = "R. G. Stanton",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
keywords = "approximation theory; extremal h-range; positive
integer; postage stamp problem; recursive theorem",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Kishore:1981:OPQ,
author = "Masao Kishore",
title = "On odd perfect, quasiperfect, and odd almost perfect
numbers",
journal = j-MATH-COMPUT,
volume = "36",
number = "154",
pages = "583--586",
month = apr,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A20",
MRnumber = "82h:10006",
MRreviewer = "Neville Robbins",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra)",
keywords = "number theory; odd almost perfect number; odd integer;
odd perfect number; Pomerance theorem; quasiperfect
number; upper bounds",
treatment = "T Theoretical or Mathematical",
}
@Article{Cantor:1981:NAF,
author = "David G. Cantor and Hans Zassenhaus",
title = "A new algorithm for factoring polynomials over finite
fields",
journal = j-MATH-COMPUT,
volume = "36",
number = "154",
pages = "587--592",
month = apr,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "12C05 (12-04)",
MRnumber = "82e:12020",
MRreviewer = "Maurice Mignotte",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database; Theory/Comp.Alg.1.bib",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
keywords = "factorisation; folk method; irreducible factor; monic
polynomial; numerical methods; polynomials;
probabilistic algorithm",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Williams:1981:NIL,
author = "H. C. Williams",
title = "A numerical investigation into the length of the
period of the continued fraction expansion of
$\sqrt{D}$",
journal = j-MATH-COMPUT,
volume = "36",
number = "154",
pages = "593--601",
month = apr,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A32 (10-04)",
MRnumber = "82f:10011",
MRreviewer = "P{\'e}ter Kiss",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
keywords = "continued fraction expansion; Euler product; function
approximation; integer; Kronecker symbol; Littlewood
theorem; numerical methods; positive; square-free
integer",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Goldberg:1981:SIS,
author = "Moshe Goldberg and Eitan Tadmor",
title = "Scheme-independent stability criteria for difference
approximations of hyperbolic initial-boundary value
problems. {II}",
journal = j-MATH-COMPUT,
volume = "36",
number = "154",
pages = "603--626",
month = apr,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M10",
MRnumber = "83f:65142",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4170 (Differential equations)",
keywords = "Cauchy theorem; difference equations; differential
equations; hyperbolic initial-boundary value; initial
value; multilevel boundary; outflow; problems; quarter
plane; scalar; stability; transpose",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Brent:1981:FEF,
author = "Richard P. Brent and John M. Pollard",
title = "Factorization of the Eighth {Fermat} Number",
journal = j-MATH-COMPUT,
volume = "36",
number = "154",
pages = "627--630",
month = apr,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A25 (10-04 65C05)",
MRnumber = "83h:10014",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
keywords = "algorithm; Brent; conjecture; eighth Fermat number;
factorization algorithm; Monte Carlo methods; numerical
methods; Pollard algorithm; polynomial; polynomials;
quadratic; recurrence relation",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Williams:1981:SRC,
author = "H. C. Williams",
title = "Some Results Concerning {Vorono{\u{\i}}}'s Continued
Fraction Over $\mathcal{Q}(\sqrt[3]{D})$",
journal = j-MATH-COMPUT,
volume = "36",
number = "154",
pages = "631--652",
month = apr,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "12A45",
MRnumber = "82j:12011",
MRreviewer = "Maurice Mignotte",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1110 (Algebra)",
keywords = "class number; continued fraction; coprime; cube-free
integer; fixed zero variable; fraction expansion;
frequency table; integer; prime; pure cubic field;
quadratic field; real number; series (mathematics);
Voronoi's algorithm",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Stothers:1981:SFI,
author = "W. W. Stothers",
title = "Subgroups of finite index in a free product with
amalgamated subgroup",
journal = j-MATH-COMPUT,
volume = "36",
number = "154",
pages = "653--662",
month = apr,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "20E06 (10D07 20E07)",
MRnumber = "82e:20036",
MRreviewer = "Ian M. Chiswell",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1160 (Combinatorial mathematics)",
keywords = "amalgamated subgroup; coset; diagrams; edge; finite
index; free product; group theory; pseudograph;
recurrence relation; vertices set",
treatment = "T Theoretical or Mathematical",
}
@Article{Bramble:1981:LMM,
author = "James H. Bramble",
title = "The {Lagrange} multiplier method for {Dirichlet}'s
problem",
journal = j-MATH-COMPUT,
volume = "37",
number = "155",
pages = "1--11",
month = jul,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30",
MRnumber = "83h:65119",
MRreviewer = "Stephen W. Brady",
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., Cornell Univ., Ithaca, NY, USA",
keywords = "boundary flux; boundary-value problems; Dirichlet's
problem; elliptic equation; Lagrange multiplier;
partial differential equations; second order",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Pitkaranta:1981:FEM,
author = "Juhani Pitk{\"a}ranta",
title = "The finite element method with {Lagrange} multipliers
for domains with corners",
journal = j-MATH-COMPUT,
volume = "37",
number = "155",
pages = "13--30",
month = jul,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30",
MRnumber = "82h:65087",
MRreviewer = "David F. Griffiths",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4110 (Error analysis
in numerical methods); C4170 (Differential equations)",
corpsource = "Inst. of Math., Helsinki Univ. of Technol, Espoo,
Finland",
keywords = "analysis; boundary subspaces; boundary-value problems;
error analysis; finite element; finite element method;
Lagrange; mesh refinements; multipliers; partial
differential equations; Sobolev spaces; weighted",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Vogelius:1981:DRMa,
author = "M. Vogelius and I. Babu{\v{s}}ka",
title = "On a dimensional reduction method. {I}. The optimal
selection of basis functions",
journal = j-MATH-COMPUT,
volume = "37",
number = "155",
pages = "31--46",
month = jul,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N99 (65J10)",
MRnumber = "83c:65259a",
MRreviewer = "Murli M. Gupta",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4130 (Interpolation
and function approximation)",
corpsource = "Inst. for Phys. Sci. and Technol., Univ. of Maryland,
College Park, MD, USA",
keywords = "boundary-value problems; combinations; dimensional;
finite linear; function approximation; methods;
n-dimensional space; numerical; reduction method",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Vogelius:1981:DRMb,
author = "M. Vogelius and I. Babu{\v{s}}ka",
title = "On a dimensional reduction method. {II}. Some
approximation-theoretic results",
journal = j-MATH-COMPUT,
volume = "37",
number = "155",
pages = "47--68",
month = jul,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N99 (65J10)",
MRnumber = "83c:65259b",
MRreviewer = "Murli M. Gupta",
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 Phys. Sci. and Technol., Univ. of Maryland,
College Park, MD, USA",
keywords = "boundary-value problems; dimensional; function
approximation; methods; null-space; numerical;
polynomials; reduction method",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Hicks:1981:HSS,
author = "D. L. Hicks",
title = "Hydrocode Subcycling Stability",
journal = j-MATH-COMPUT,
volume = "37",
number = "155",
pages = "69--78",
month = jul,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M10 (76-04 76-08)",
MRnumber = "83d:65252",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290R (Integral equations); C4180 (Integral
equations)",
corpsource = "Computational Phys. and Mech. Div., Sandia Nat. Labs.,
Albuquerque, NM, USA",
keywords = "artificial viscosity; Courant-Friedrichs-Lewy;
hydrocodes; integration; numerical methods; stability;
stress-rate equation; subcycling stability",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Berger:1981:AUA,
author = "Alan E. Berger and Jay M. Solomon and Melvyn Ciment",
title = "An analysis of a uniformly accurate difference method
for a singular perturbation problem",
journal = j-MATH-COMPUT,
volume = "37",
number = "155",
pages = "79--94",
month = jul,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L10",
MRnumber = "83f:65121",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Appl. Maths. Branch, Naval Surface Weapons Centre,
Silver Spring, MD, USA",
keywords = "difference equations; differential equations; grid
points; piecewise constant; problem; singular
perturbation; tridiagonal difference; uniform mesh;
uniformly accurate difference method",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Makroglou:1981:BBM,
author = "Athena Makroglou",
title = "A block-by-block method for {Volterra}
integro-differential equations with weakly-singular
kernel",
journal = j-MATH-COMPUT,
volume = "37",
number = "155",
pages = "95--99",
month = jul,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65R20",
MRnumber = "83d:65353",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); B0290R (Integral
equations); C4170 (Differential equations); C4180
(Integral equations)",
corpsource = "Statistical Unit, Athens Univ., Athens, Greece",
keywords = "block-by-block method; convergence;
integro-differential equations; numerical methods;
product integration technique; Volterra;
weakly-singular kernel",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Martins:1981:NID,
author = "M. Madalena Martins",
title = "Note on irreducible diagonally dominant matrices and
the convergence of the {AOR} iterative method",
journal = j-MATH-COMPUT,
volume = "37",
number = "155",
pages = "101--103",
month = jul,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65F10",
MRnumber = "83b:65031",
MRreviewer = "L. Collatz",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290B (Error analysis in numerical methods); C4140
(Linear algebra)",
corpsource = "Dept. of Math., Univ. of Coimbra, Coimbra, Portugal",
keywords = "accelerated; algebra; AOR iterative method; bounds;
convergence; convergence of numerical methods;
diagonally dominant matrix; irreducible matrix;
iterative methods; matrix; overrelation method;
spectral radius; successive overrelaxation method",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Saad:1981:KSM,
author = "Y. Saad",
title = "{Krylov} Subspace Methods for Solving Large
Unsymmetric Linear Systems",
journal = j-MATH-COMPUT,
volume = "37",
number = "155",
pages = "105--126",
month = jul,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65F10",
MRnumber = "83j:65037",
MRreviewer = "D. S. Henderson",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "Theory/Matrix.bib; JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290B (Error analysis in numerical methods); C4140
(Linear algebra)",
corpsource = "Dept. of Computer Sci., Univ. of Illinois, Urbana, IL,
USA",
keywords = "algebra; Arnoldi algorithm; bounds; conjugate gradient
method; eigenvalues; error; iterative methods; Krylov
subspace; linear; linear algebra; unsymmetric linear
systems",
kwds = "nla, linear system, nonsymmetric matrix, Krylov
sequence",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Pennline:1981:ICR,
author = "James A. Pennline",
title = "Improving convergence rate in the method of successive
approximations",
journal = j-MATH-COMPUT,
volume = "37",
number = "155",
pages = "127--134",
month = jul,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65R20 (34B15 65L10)",
MRnumber = "83h:65135",
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 Math. Sci., Virginia Commonwealth Univ.,
Richmond, VA, USA",
keywords = "approximations; boundary-value problems; convergence;
convergence rate; integral equations; iterative;
iterative methods; methods; nonlinear integral
equation; rate; successive",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Dunham:1981:RCD,
author = "C. B. Dunham and Jack Williams",
title = "Rate of convergence of discretization in {Chebyshev}
approximation",
journal = j-MATH-COMPUT,
volume = "37",
number = "155",
pages = "135--139",
month = jul,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "41A25 (30E10 41A50 65D15)",
MRnumber = "82f:41024",
MRreviewer = "John P. Coleman",
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 Computer Sci., Univ. of Western Ontario,
London, Ont., Canada",
keywords = "Chebyshev approximation; convergence of numerical
methods; convergence rate; discretization; finite point
set; quadratic convergence; smooth arc",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Lancaster:1981:SGM,
author = "P. Lancaster and K. Salkauskas",
title = "Surfaces Generated by Moving Least Squares Methods",
journal = j-MATH-COMPUT,
volume = "37",
number = "155",
pages = "141--158",
month = jul,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D05 (41A05 41A63)",
MRnumber = "83c:65015",
MRreviewer = "D. C. Handscomb",
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 Statistics, Univ. of Calgary,
Calgary, Alta., Canada",
keywords = "bivariate system; interpolants; least squares
approximations; methods; moving least squares;
projection methods; smoothness; univariate system",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Ash:1981:OND,
author = "J. Marshall Ash and Roger L. Jones",
title = "Optimal numerical differentiation using three function
evaluations",
journal = j-MATH-COMPUT,
volume = "37",
number = "155",
pages = "159--167",
month = jul,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D05 (39A05)",
MRnumber = "84a:65008",
MRreviewer = "A. Lupa\cedla s",
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. Sci., De Paul Univ., Chicago, IL, USA",
keywords = "difference; differentiation; numerical
differentiation; numerical method; numerical methods;
quotient; real-valued functions",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Ting:1981:CIO,
author = "Bing Yuan Ting and Yudell L. Luke",
title = "Computation of integrals with oscillatory and singular
integrands",
journal = j-MATH-COMPUT,
volume = "37",
number = "155",
pages = "169--183",
month = jul,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D30 (41A60)",
MRnumber = "82f:65022",
MRreviewer = "Walter Gautschi",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290R (Integral equations); C4110 (Error analysis in
numerical methods); C4180 (Integral equations)",
corpsource = "Marley Cooling Tower Co., Mission, KS, USA",
keywords = "analysis; endpoints; error; error analysis;
integration; interval; numerical methods; oscillatory
integrand; singular integrands; singularities; weight
function",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Mond:1981:AEL,
author = "B. Mond",
title = "On algorithmic equivalence in linear fractional
programming",
journal = j-MATH-COMPUT,
volume = "37",
number = "155",
pages = "185--187",
month = jul,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "90C32",
MRnumber = "82m:90147",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4240 (Programming and algorithm theory)",
corpsource = "Dept. of Pure Math., La Trobe Univ., Bundoora, Vic.,
Australia",
keywords = "algorithmic equivalence; computation complexity;
computational complexity; fractional programming;
linear; linear programming",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Boyd:1981:RCC,
author = "John P. Boyd",
title = "The rate of convergence of {Chebyshev} polynomials for
functions which have asymptotic power series about one
endpoint",
journal = j-MATH-COMPUT,
volume = "37",
number = "155",
pages = "189--195",
month = jul,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "41A25",
MRnumber = "82h:41022",
MRreviewer = "A. E. Danese",
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 = "Center for Earth and PLanetary Phys., Harvard Univ.,
Cambridge, MA, USA",
keywords = "asymptotic power; bounded derivatives; Chebyshev
approximation; Chebyshev polynomials; convergence of
numerical methods; convergence rate; expansion
interval; point; polynomials; series; singular",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Delahaye:1981:ASS,
author = "J. P. Delahaye",
title = "Automatic Selection of Sequence Transformations",
journal = j-MATH-COMPUT,
volume = "37",
number = "155",
pages = "197--204",
month = jul,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65B99",
MRnumber = "83c:65006",
MRreviewer = "Y. L. Luke",
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 = "Univ. des Sci. et Techniques de Lille, Villeneuve
d'Ascq, France",
keywords = "approximation theory; sequence transformations",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Smyth:1981:MTR,
author = "C. J. Smyth",
title = "On the measure of totally real algebraic integers.
{II}",
journal = j-MATH-COMPUT,
volume = "37",
number = "155",
pages = "205--208",
month = jul,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "12A15 (10F25)",
MRnumber = "82j:12002b",
MRreviewer = "Marthe Grandet",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Mathon:1981:CST,
author = "Rudolf A. Mathon and Kevin T. Phelps and Alexander
Rosa",
title = "A class of {Steiner} triple systems of order $21$ and
associated {Kirkman} systems",
journal = j-MATH-COMPUT,
volume = "37",
number = "155",
pages = "209--222",
month = jul,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "05B07 (51E10)",
MRnumber = "82k:05022",
MRreviewer = "Charles J. Colbourn",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Duijvestijn:1981:LOS,
author = "A. J. W. Duijvestijn and P. Leeuw",
title = "Lowest order squared rectangles and squares with the
largest element not on the boundary",
journal = j-MATH-COMPUT,
volume = "37",
number = "155",
pages = "223--228",
month = jul,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "05B45 (52A45)",
MRnumber = "82j:05047",
MRreviewer = "Heiko Harborth",
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 Appl. Math., Twente Univ. of Technol.,
Enschede, Netherlands",
keywords = "approximation theory; lowest order squared rectangles;
squares",
treatment = "T Theoretical or Mathematical",
}
@Article{Baillie:1981:PSC,
author = "Robert Baillie and G. Cormack and H. C. Williams",
title = "The problem of {Sierpi{\'n}ski} concerning $k\cdot
2^{n}+1$",
journal = j-MATH-COMPUT,
volume = "37",
number = "155",
pages = "229--231",
month = jul,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A25",
MRnumber = "83a:10006a",
MRreviewer = "Graham Lord",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C5230 (Digital arithmetic methods)",
corpsource = "Computer Based Education Res. Lab., Univ. of Illinois,
Urbana, IL, USA",
keywords = "number theory; Sierpinski problem",
treatment = "T Theoretical or Mathematical",
}
@Article{Fransen:1981:ACH,
author = "Arne Frans{\'e}n",
title = "Addendum and corrigendum to: {``High-precision values
of the gamma function and of some related
coefficients''} {[Math. Comp. {\bf 34} (1980), no. 150,
553--566, MR 81f:65004] by Frans{\'e}n and S. Wrigge}",
journal = j-MATH-COMPUT,
volume = "37",
number = "155",
pages = "233--235",
month = jul,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65A05 (65D20)",
MRnumber = "82m:65002",
bibdate = "Sat Apr 01 10:12:58 2000",
bibsource = "JSTOR database",
note = "See \cite{Fransen:1980:HPV}.",
acknowledgement = ack-nhfb,
}
@Article{Beale:1981:RCV,
author = "J. Thomas Beale and Andrew Majda",
title = "Rates of convergence for viscous splitting of the
{Navier--Stokes} equations",
journal = j-MATH-COMPUT,
volume = "37",
number = "156",
pages = "243--259",
month = oct,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M15 (76D05)",
MRnumber = "82i:65056",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations); C7320 (Physics and chemistry computing)",
corpsource = "Dept. of Math., Tulane Univ., New Orleans, LA, USA",
keywords = "algorithms; convergence of numerical methods; fluid
flow; Navier--Stokes equations; number; partial
differential equations; physics computing; Reynolds;
splitting; time interval; viscosity; viscous",
treatment = "T Theoretical or Mathematical; X Experimental",
}
@Article{Aziz:1981:FEA,
author = "A. K. Aziz and R. Bruce Kellogg",
title = "Finite Element Analysis of a Scattering Problem",
journal = j-MATH-COMPUT,
volume = "37",
number = "156",
pages = "261--272",
month = oct,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30 (35J05)",
MRnumber = "82i:65069",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations); C7320 (Physics and chemistry computing)",
corpsource = "Inst. for Phys. Sci. and Technol., Univ. of Maryland,
College Park, MD, USA",
keywords = "finite element analysis; finite element method;
partial differential equations; physics computing;
piecewise polynomial functions; polynomials;
propagation; reduced wave equation; scattering problem;
spherical harmonics; wave; wave propagation",
treatment = "T Theoretical or Mathematical; X Experimental",
}
@Article{Isaacson:1981:NAS,
author = "D. Isaacson and E. L. Isaacson and D. Marchesin and P.
J. Paes-Leme",
title = "Numerical analysis of spectral properties of coupled
oscillator {Schr{\"o}dinger} operators. {I}. {Single}
and double well anharmonic oscillators",
journal = j-MATH-COMPUT,
volume = "37",
number = "156",
pages = "273--292",
month = oct,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N25 (81C05)",
MRnumber = "82i:65068",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290B (Error analysis in numerical methods); C4140
(Linear algebra); C7320 (Physics and chemistry
computing)",
corpsource = "Dept. of Math., Rensselaer Polytech. Inst., Troy, NY,
USA",
keywords = "digital simulation; eigenvalues and eigenfunctions;
numerical analysis; physics computing; Schr{\"o}dinger
equation; physics computing; Schr{\"o}dinger operators;
anharmonic; oscillators; eigenvalues and
eigenfunctions; inverse power",
treatment = "T Theoretical or Mathematical; X Experimental",
}
@Article{Gottlieb:1981:SPF,
author = "David Gottlieb and Steven A. Orszag and Eli Turkel",
title = "Stability of pseudospectral and finite-difference
methods for variable coefficient problems",
journal = j-MATH-COMPUT,
volume = "37",
number = "156",
pages = "293--305",
month = oct,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M10",
MRnumber = "82i:65054",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations); C7320 (Physics and chemistry computing)",
corpsource = "Dept. of Math., Tel-Aviv Univ., Tel-Aviv, Israel",
keywords = "computing; difference equations; differential
equations; digital; digital simulation; finite
difference method; physics; physics computing;
pseudospectral approximation; simulation; spatial mesh;
wave equations; wave propagation",
treatment = "T Theoretical or Mathematical; X Experimental",
}
@Article{LeRoux:1981:NSS,
author = "A. Y. {Le Roux}",
title = "Numerical Stability for Some Equations of Gas
Dynamics",
journal = j-MATH-COMPUT,
volume = "37",
number = "156",
pages = "307--320",
month = oct,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "76N15 (65M10 76A60)",
MRnumber = "82m:76044",
MRreviewer = "Murli M. Gupta",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Lab. d'Analyse Numerique, Rennes, France",
keywords = "density; digital simulation; equations; Eulerian
coordinates; gas dynamics equations; momentum;
numerical methods; partial differential; partial
differential equations; physics computing; stability;
supersonic flow; supersonic flows",
treatment = "T Theoretical or Mathematical; X Experimental",
}
@Article{Starius:1981:AEC,
author = "G{\"o}ran Starius",
title = "Asymptotic expansions for a class of elliptic
difference schemes",
journal = j-MATH-COMPUT,
volume = "37",
number = "156",
pages = "321--326",
month = oct,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N15 (65B05)",
MRnumber = "82i:65066",
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 = "Dept. of Appl. Maths., Univ. of Lulea, Lulea, Sweden",
keywords = "asymptotic; difference equations; Dirichlet problem;
equations; expansion; extrapolation; finite difference
method; Kreiss' difference scheme; mesh length; partial
differential; Poisson equation; Richardson
extrapolation",
treatment = "T Theoretical or Mathematical",
}
@Article{Huang:1981:SCE,
author = "Mingyou Huang and Vidar Thom{\'e}e",
title = "Some Convergence Estimates for Semidiscrete Type
Schemes for Time-Dependent Nonselfadjoint Parabolic
Equations",
journal = j-MATH-COMPUT,
volume = "37",
number = "156",
pages = "327--346",
month = oct,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M60 (65M15)",
MRnumber = "82i:65060",
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 Maths., Jilin Univ., Changchun, China",
keywords = "bounded domain; Dirichlet boundary; energy arguments;
equations; finite element; finite element analysis;
Galerkin; L/sub 2/ norm error; nonselfadjoint parabolic
equations; partial differential; partial differential
equations",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Field:1981:ADI,
author = "David A. Field",
title = "An algorithm for determining invertible quadratic
isoparametric finite element transformations",
journal = j-MATH-COMPUT,
volume = "37",
number = "156",
pages = "347--360",
month = oct,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30 (65H10)",
MRnumber = "82i:65071",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Math. Dept., General Motors Res. Labs., Warren, MI,
USA",
keywords = "algorithm; finite element analysis; invertibility;
isoparametric finite element; Jacobian; partial
differential equation; partial differential equations",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Vogelius:1981:DRMc,
author = "M. Vogelius and I. Babu{\v{s}}ka",
title = "On a Dimensional Reduction Method. {III}. {A}
Posteriori Error Estimation and an Adaptive Approach",
journal = j-MATH-COMPUT,
volume = "37",
number = "156",
pages = "361--384",
month = oct,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N99 (65J10)",
MRnumber = "83c:65259c",
MRreviewer = "Murli M. Gupta",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Courant Inst. of Math. Sci., New York Univ., New York,
NY, USA",
keywords = "boundary value; boundary-value problems; dimensional
reduction method; error analysis; problems",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Jameson:1981:ISD,
author = "A. Jameson and E. Turkel",
title = "Implicit Schemes and ${LU}$ Decompositions",
journal = j-MATH-COMPUT,
volume = "37",
number = "156",
pages = "385--397",
month = oct,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M10 (65F05)",
MRnumber = "82i:65055",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290B (Error analysis in numerical methods); C4140
(Linear algebra)",
corpsource = "Courant Inst. of Math. Sci., New York Univ., New York,
NY, USA",
keywords = "algebra; Crank Nicolson estimate; Euler method; LU
factorizations; matrix; matrix algebra; Newton Raphson
iteration; numerical methods; systems; tridiagonal",
treatment = "T Theoretical or Mathematical",
}
@Article{Piazza:1981:SRK,
author = "Giuseppe Piazza",
title = "On the ${BN}$ Stability of the {Runge--Kutta} Methods",
journal = j-MATH-COMPUT,
volume = "37",
number = "156",
pages = "399--401",
month = oct,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L05",
MRnumber = "82i:65045",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Univ. di Bari, Bari, Italy",
keywords = "BN stability; differential equations; Runge--Kutta
methods; stability",
treatment = "T Theoretical or Mathematical",
}
@Article{Locher:1981:IUM,
author = "F. Locher",
title = "Interpolation on uniform meshes by the translates of
one function and related attenuation factors",
journal = j-MATH-COMPUT,
volume = "37",
number = "156",
pages = "403--416",
month = oct,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D10 (42A15)",
MRnumber = "82i:65008",
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 = "Fernuniv.-Gesamthochschule, Hagen, West Germany",
keywords = "attenuation factors; coefficients; convolution matrix;
Fourier; Fourier analysis; interpolation;
proportionality factors",
treatment = "T Theoretical or Mathematical",
}
@Article{Jen:1981:CSA,
author = "Erica Jen and R. P. Srivastav",
title = "Cubic splines and approximate solution of singular
integral equations",
journal = j-MATH-COMPUT,
volume = "37",
number = "156",
pages = "417--423",
month = oct,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65R20 (41A15 45E05)",
MRnumber = "82i:65082",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
B0290R (Integral equations); C4130 (Interpolation and
function approximation); C4140 (Linear algebra); C4180
(Integral equations)",
corpsource = "Dept. of Math. and Statistics, State Univ. of New
York, Stony Brook, NY, USA",
keywords = "Cauchy equation; cubic splines; integral equations;
linear algebra; linear algebraic equations; singular
integral equations; splines (mathematics); weight
function",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Toint:1981:SQN,
author = "Ph. L. Toint",
title = "A sparse {quasi-Newton} update derived variationally
with a nondiagonally weighted {Frobenius} norm",
journal = j-MATH-COMPUT,
volume = "37",
number = "156",
pages = "425--433",
month = oct,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65F30 (15A24 65K10)",
MRnumber = "82i:65028",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290B (Error analysis in numerical methods); C4140
(Linear algebra)",
corpsource = "Dept. of Math., Facultes Univ. de Namur, Namur,
Belgium",
keywords = "matrix algebra; numerical methods; quasi-Newton
updating; symmetric sparse updating; weighted Frobenius
norm",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Stummel:1981:PTE,
author = "F. Stummel",
title = "Perturbation theory for evaluation algorithms of
arithmetic expressions",
journal = j-MATH-COMPUT,
volume = "37",
number = "156",
pages = "435--473",
month = oct,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65G99",
MRnumber = "82i:65032",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290B (Error analysis in numerical methods); C4110
(Error analysis in numerical methods)",
corpsource = "Univ. of Frankfurt, Frankfurt, West Germany",
keywords = "arithmetic; data perturbations; error analysis;
evaluation algorithms; expressions; linearization
method; optimal bounds; perturbation theory",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Fransen:1981:CTS,
author = "Arne Frans{\'e}n",
title = "Conjectures on the {Taylor} Series Expansion
Coefficients of the {Jacobian} Elliptic Function
$\mathrm{sn}(x, k)$",
journal = j-MATH-COMPUT,
volume = "37",
number = "156",
pages = "475--494",
month = oct,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A25",
MRnumber = "83a:33003",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290B (Error analysis in numerical methods); B0290F
(Interpolation and function approximation); C4130
(Interpolation and function approximation); C4140
(Linear algebra)",
corpsource = "Nat. Defence Res. Inst., Stockholm, Sweden",
keywords = "(mathematics); elliptic function; function
approximation; Jacobian; numerical methods; series;
Taylor series expansion",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Wrigge:1981:NTS,
author = "Staffan Wrigge",
title = "A Note on the {Taylor} Series Expansion Coefficients
of the {Jacobian} Elliptic Function $\mathrm{sn}(x,
k)$",
journal = j-MATH-COMPUT,
volume = "37",
number = "156",
pages = "495--497",
month = oct,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A25",
MRnumber = "83a:33004",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290B (Error analysis in numerical methods); C4140
(Linear algebra)",
corpsource = "Nat. Defence Res. Inst., Stockholm, Sweden",
keywords = "integers; Jacobian elliptic function; linear algebra;
numerical methods; polynomials; power series; series
(mathematics); Taylor series expansion",
treatment = "T Theoretical or Mathematical",
}
@Article{Glasser:1981:CBS,
author = "M. L. Glasser",
title = "A Class of {Bessel} Summations",
journal = j-MATH-COMPUT,
volume = "37",
number = "156",
pages = "499--501",
month = oct,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A40 (42A16 44A15)",
MRnumber = "82j:33015",
MRreviewer = "B. D. Agrawal",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical
analysis)",
corpsource = "Dept. of Math. and Computer Sci., Clarkson Coll.,
Potsdam, NY, USA",
keywords = "Bessel functions; Bessel summations; infinite series",
treatment = "T Theoretical or Mathematical",
}
@Article{Hsu:1981:AFT,
author = "L. C. Hsu and Y. S. Chou",
title = "An asymptotic formula for a type of singular
oscillatory integrals",
journal = j-MATH-COMPUT,
volume = "37",
number = "156",
pages = "503--507",
month = oct,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "41A60",
MRnumber = "83e:41035",
MRreviewer = "E. Rieksti\lfhook n{\v{s}}",
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 Math., Jilin Univ., Changchun, China",
keywords = "Bernoulli functions; fixed; function; integrands;
integration; numerical methods; real number; Riemann
zeta; singular oscillatory integrals",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Wong:1981:MAE,
author = "R. Wong and J. P. McClure",
title = "On a method of asymptotic evaluation of multiple
integrals",
journal = j-MATH-COMPUT,
volume = "37",
number = "156",
pages = "509--521",
month = oct,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "41A60 (41A63)",
MRnumber = "83b:41040",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290R (Integral equations); C4130 (Interpolation and
function approximation); C4180 (Integral equations)",
corpsource = "Dept. of Math., Univ. of Manitoba, Winnipeg, Man.,
Canada",
keywords = "(mathematics); asymptotic; differentiability; Dirac
function; expansions; Fourier transform; Fourier
transforms; integrals; integration; multiple; numerical
methods; series; Taylor theorem",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Duijvestijn:1981:NPC,
author = "A. J. W. Duijvestijn and P. J. Federico",
title = "The number of polyhedral ($3$-connected planar)
graphs",
journal = j-MATH-COMPUT,
volume = "37",
number = "156",
pages = "523--532",
month = oct,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "05C30 (05C10 52A25)",
MRnumber = "83f:05028",
MRreviewer = "E. M. Palmer",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0250 (Combinatorial mathematics); C1160
(Combinatorial mathematics)",
corpsource = "Twente Univ. of Technol., Enschede, Netherlands",
keywords = "3-connected planar graphs; edges; faces; graph theory;
isomorphism; polyhedral graph; vertices",
treatment = "T Theoretical or Mathematical",
}
@Article{Winker:1981:SAI,
author = "S. K. Winker and L. Wos and E. L. Lusk",
title = "Semigroups, antiautomorphisms, and involutions: a
computer solution to an open problem. {I}",
journal = j-MATH-COMPUT,
volume = "37",
number = "156",
pages = "533--545",
month = oct,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "20M15 (03B35 20-04 68G20)",
MRnumber = "82k:20103",
MRreviewer = "R. S. Pierce",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); C1110 (Algebra)",
corpsource = "Argonne Nat. Lab., Argonne, IL, USA",
keywords = "antiautomorphisms; finite semigroup; group theory;
involutions; mapping",
treatment = "T Theoretical or Mathematical",
}
@Article{Queen:1981:MFA,
author = "Larissa Queen",
title = "Modular Functions Arising from Some Finite Groups",
journal = j-MATH-COMPUT,
volume = "37",
number = "156",
pages = "547--580",
month = oct,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "20C15 (10D07 20D08)",
MRnumber = "83d:20008",
MRreviewer = "Leo J. Alex",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290B (Error analysis in numerical methods); C4140
(Linear algebra)",
corpsource = "Univ. of Cambridge, Cambridge, UK",
keywords = "Hauptmoduls function; modular groups; series
(mathematics); Thompson series",
treatment = "T Theoretical or Mathematical",
}
@Article{Leavitt:1981:PDF,
author = "W. G. Leavitt and Albert A. Mullin",
title = "Primes Differing by a Fixed Integer",
journal = j-MATH-COMPUT,
volume = "37",
number = "156",
pages = "581--585",
month = oct,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10L10 (10H15)",
MRnumber = "83c:10077",
MRreviewer = "Kenneth A. Jukes",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); C5230 (Digital arithmetic methods)",
corpsource = "Dept. of Math. and Statistics, Univ. of Nebraska,
Lincoln, NE, USA",
keywords = "bound; divisor; fixed integer; number theory; primes",
treatment = "T Theoretical or Mathematical",
}
@Article{Pomerance:1981:DP,
author = "Carl Pomerance",
title = "On the Distribution of Pseudoprimes",
journal = j-MATH-COMPUT,
volume = "37",
number = "156",
pages = "587--593",
month = oct,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A21 (10A20)",
MRnumber = "83k:10009",
MRreviewer = "M. C. Wunderlich",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); C5230 (Digital arithmetic methods)",
corpsource = "Dept. of Math., Univ. of Georgia, Athens, GA, USA",
keywords = "counting function; number theory; pseudoprimes
distribution",
treatment = "T Theoretical or Mathematical",
}
@Article{Fettis:1981:CST,
author = "Henry E. Fettis",
title = "Corrigendum: {``On some trigonometric integrals''}",
journal = j-MATH-COMPUT,
volume = "37",
number = "156",
pages = "605--605",
month = oct,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A15 (33A10 33A70)",
MRnumber = "82c:33003b",
bibdate = "Wed Jan 15 08:42:10 1997",
acknowledgement = ack-nhfb,
}
@Article{Schatz:1982:QOP,
author = "A. H. Schatz and L. B. Wahlbin",
title = "On the Quasi-Optimality in ${L}_\infty$ of the
$\overset{\circ}{H}^1$-Projection into Finite Element
Spaces",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "1--22",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30",
MRnumber = "82m:65106",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Maths., Cornell Univ., Ithaca, NY, USA",
keywords = "bounded smooth domain; finite element analysis; finite
element spaces; function approximation; mesh-domains;
optimisation; projection; quasi-; quasi-optimality;
uniform partitions",
treatment = "T Theoretical or Mathematical",
}
@Article{Arnold:1982:SFE,
author = "Douglas N. Arnold and Ragnar Winther",
title = "A superconvergent finite element method for the
{Korteweg-de Vries} equation",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "23--36",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M60 (76A60 76B15)",
MRnumber = "82m:65087",
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., Univ. of Maryland, College Park, MD,
USA",
keywords = "convergence of numerical methods; discrete; equations;
finite element analysis; finite element method; fully
discrete; Korteweg-de Vries equation; optimal order
global estimates; partial differential equations;
stable; superconvergence",
treatment = "T Theoretical or Mathematical",
}
@Article{Archer:1982:CGM,
author = "David Archer and Julio C{\'e}sar D{\'i}az",
title = "A collocation-{Galerkin} method for a first order
hyperbolic equation with space and time dependent
coefficient",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "37--53",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M60 (65N35)",
MRnumber = "82m:65086",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "DREM, Houston, TX, USA",
keywords = "approximating solution; boundary-value problems;
collocation-Galerkin method; differential equations;
equation; first order hyperbolic; hyperbolic; initial
value problems; initial-boundary value problem;
partial",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Han:1982:FEM,
author = "Houde Han",
title = "The finite element method in a family of improperly
posed problems",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "55--65",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M60 (35R25 65M30)",
MRnumber = "82m:65091",
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., Univ. of Maryland, College Park, MD,
USA",
keywords = "approximate solution; Cauchy problem; convergence;
convergence of numerical methods; elliptic equations;
finite element analysis; finite element method;
improperly posed problems; inequality problem;
numerical; numerical methods; partial differential
equations; solution; variational",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Canuto:1982:ARO,
author = "C. Canuto and A. Quarteroni",
title = "Approximation results for orthogonal polynomials in
{Sobolev} spaces",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "67--86",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "41A10",
MRnumber = "82m:41003",
MRreviewer = "H. Triebel",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290B (Error analysis in numerical methods); B0290F
(Interpolation and function approximation); B0290P
(Differential equations); C4110 (Error analysis in
numerical methods); C4130 (Interpolation and function
approximation); C4170 (Differential equations)",
corpsource = "Istituto di Matematical Applicata, Pavia, Italy",
keywords = "approximation; Chebyshev system; differential
equations; error analysis; error estimates;
interpolation; interpolation operators; Legendre
system; numerical analysis; numerical methods;
orthogonal polynomials; partial; partial differential
equations; polynomials; properties; Sobolev spaces;
systems of polynomials",
treatment = "T Theoretical or Mathematical",
}
@Article{Alfeld:1982:FPI,
author = "Peter Alfeld",
title = "Fixed Point Iteration with Inexact Function Values",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "87--98",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65H10 (65K10)",
MRnumber = "82m:65048",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290 (Numerical analysis); C4100 (Numerical
analysis)",
corpsource = "Dept. of Math., Univ. of Utah, Salt Lake City, UT,
USA",
keywords = "amount of computation; computational effort; error
criterion; final; fixed point iteration; inexact
function values; iterate; iterative; iterative methods;
schemes",
treatment = "T Theoretical or Mathematical",
}
@Article{Iserles:1982:CEA,
author = "Arieh Iserles",
title = "Composite Exponential Approximations",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "99--112",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L05",
MRnumber = "82m:65063",
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 = "King's Coll., Univ. of Cambridge, Cambridge, UK",
keywords = "approximation theory; approximations; CEA; composite
exponential approximations; different step-;
differential equations; exponential fitting; length;
N-; numerical; ordinary differential equations;
Pad{\'e} approximations; solution; stability",
treatment = "T Theoretical or Mathematical",
}
@Article{Marsden:1982:SIK,
author = "M. J. Marsden",
title = "Spline Interpolation at Knot Averages on a Two-Sided
Geometric Mesh",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "113--126",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "41A15 (65D07)",
MRnumber = "82m:41011",
MRreviewer = "Gheorghe Micula",
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., Univ. of Pittsburgh, Pittsburgh, PA,
USA",
keywords = "choice of nodes; continuous functions; function
approximation; growth rate; interpolation; knot
averages; spline interpolation; splines (mathematics)",
treatment = "T Theoretical or Mathematical",
}
@Article{Sidi:1982:NQR,
author = "Avram Sidi",
title = "Numerical quadrature rules for some infinite range
integrals",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "127--142",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D32",
MRnumber = "82m:65022",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation)",
corpsource = "Computer Sci. Dept., Technion Israel Inst. of
Technol., Haifa, Israel",
keywords = "abscissas; exponential integral; Gaussian quadrature
formulas; infinite range integrals; integration;
interpolatory type; numerical methods; numerical
quadrature formulas",
treatment = "T Theoretical or Mathematical",
}
@Article{Chen:1982:AEE,
author = "T. H. Charles Chen",
title = "Asymptotic error estimates for {Gaussian} quadrature
formulas",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "143--152",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D32 (41A55)",
MRnumber = "82m:65019",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290B (Error analysis in numerical methods); B0290M
(Numerical integration and differentiation); C4110
(Error analysis in numerical methods); C4160 (Numerical
integration and differentiation)",
corpsource = "Dept. of Math. Sci., Alcorn State Univ., Lorman, MS,
USA",
keywords = "asymptotic; error analysis; error estimates; Gaussian
quadrature formulas; integration; non negative weight
function",
treatment = "T Theoretical or Mathematical",
}
@Article{Parlett:1982:ELE,
author = "B. N. Parlett and H. Simon and L. M. Stringer",
title = "On Estimating the Largest Eigenvalue with the
{L{\'a}nczos} Algorithm",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "153--165",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65F15",
MRnumber = "82m:65033",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database; Theory/Matrix.bib",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); B0290H (Linear algebra); C1110
(Algebra); C4140 (Linear algebra)",
corpsource = "Dept. of Math., Univ. of California, Berkeley, CA,
USA",
keywords = "definite matrix; eigenvalue; eigenvalues and
eigenfunctions; Lanczos algorithm; large matrices;
matrix algebra; methods; misconvergence; numerical;
positive",
kwds = "nla, eig, Lanczos algorithm",
treatment = "T Theoretical or Mathematical",
}
@Article{Kallman:1982:MFP,
author = "Ralph Kallman",
title = "A method for finding permanents of $0,\,1$ matrices",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "167--170",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "15A15 (05B20 15-04)",
MRnumber = "83d:15002",
MRreviewer = "Peter M. Gibson",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); B0290H (Linear algebra); C1110
(Algebra); C4140 (Linear algebra)",
corpsource = "Dept. of Math. Sci., Ball State Univ., Muncie, IN,
USA",
keywords = "0,1 matrices; computing permanents; execution times;
matrices; matrix algebra; Nijenhuis-; numerical
methods; permanents; row operations; Ryser algorithm;
Wilf algorithms",
treatment = "T Theoretical or Mathematical",
}
@Article{Cuyt:1982:NSH,
author = "Annie A. M. Cuyt",
title = "Numerical stability of the {Halley-iteration} for the
solution of a system of nonlinear equations",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "171--179",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65H10 (65G05 65J15)",
MRnumber = "82m:65050",
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 = "Dept. of Math., Univ. of Antwerp, Wilrijk, Belgium",
keywords = "abstract Rational approximants; Halley-iteration;
iterative methods; nonlinear equations; numerical
methods; numerical stability; Pad{\'e} approximants;
procedure; stability; third order iterative",
treatment = "T Theoretical or Mathematical",
}
@Article{Franke:1982:SDI,
author = "Richard Franke",
title = "Scattered Data Interpolation: Tests of Some Methods",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "181--200",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D05",
MRnumber = "82m:65008",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "Graphics/imager/imager.82.bib;
Graphics/siggraph/82.bib; Theory/nld.bib; JSTOR
database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Maths., Naval Postgraduate School, Monterey,
CA, USA",
keywords = "accuracy; data analysis; evaluation of methods;
implementation; interpolation; scattered data; storage;
timing",
treatment = "T Theoretical or Mathematical",
}
@Article{Joshi:1982:ICH,
author = "C. M. Joshi and J. P. Arya",
title = "Inequalities for Certain Hypergeometric Functions",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "201--205",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A30",
MRnumber = "83a:33007",
MRreviewer = "H. M. Srivastava",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290D (Functional analysis); C4120 (Functional
analysis)",
corpsource = "Dept. of Maths., Univ. of Jodhpur, Jodhpur, India",
keywords = "analogues; Buschman; functional analysis; Gauss;
hypergeometric functions; inequalities; Kummer;
two-sided inequalities",
treatment = "T Theoretical or Mathematical",
}
@Article{Kalla:1982:IJF,
author = "Shyam L. Kalla and Salvador Conde and Yudell L. Luke",
title = "Integrals of {Jacobi} Functions",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "207--214",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A25 (33-04 65D30)",
MRnumber = "83a:33005",
MRreviewer = "Walter Gautschi",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
B0290M (Numerical integration and differentiation);
C4130 (Interpolation and function approximation); C4160
(Numerical integration and differentiation)",
corpsource = "Univ. del Zulia, Maracaibo, Venezuela",
keywords = "algebraic singularities; formulas; function
approximation; integrands; integration; Jacobi
functions; logarithmic singularities",
treatment = "T Theoretical or Mathematical",
}
@Article{Ling:1982:EIH,
author = "Chih Bing Ling and Ming Jing Wu",
title = "Evaluation of integrals of {Howland} type involving a
{Bessel} function",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "215--222",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65A05 (65D20)",
MRnumber = "82m:65003",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0220 (Mathematical analysis); B0290M (Numerical
integration and differentiation); C1120 (Mathematical
analysis); C4160 (Numerical integration and
differentiation)",
corpsource = "Dept. of Maths., Virginia Polytech. Inst. and State
Univ., Blacksburg, VA, USA",
keywords = "10D; 20D; accuracy; Bessel function; Bessel functions;
Howland type; integrals; integration; tabulated
values",
treatment = "T Theoretical or Mathematical",
}
@Article{Belevitch:1982:SIT,
author = "V. Belevitch and J. Boersma",
title = "On {Stieltjes} integral transforms involving ${\Gamma}
$-functions",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "223--226",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "44A15 (33A15 33A45)",
MRnumber = "83d:44001",
MRreviewer = "V. M. Bhise",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0230 (Integral transforms); C1130 (Integral
transforms)",
corpsource = "Philips Res Lab., Brussels, Belgium",
keywords = "Gamma functions; integral transforms; Stieltjes
transforms; systematic classification; transforms",
treatment = "T Theoretical or Mathematical",
}
@Article{Cohn:1982:EME,
author = "Harvey Cohn",
title = "An explicit modular equation in two variables and
{Hilbert}'s twelfth problem",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "227--236",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10D20 (12A65)",
MRnumber = "82k:10027",
MRreviewer = "Marie-France Vign{\'e}ras",
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 = "Maths. Dept., City Coll. of New York, New York, NY,
USA",
keywords = "algebraic fields; explicit modular equation; Fourier
series; function approximation; Hilbert modular
function; Hilbert's twelfth problem; transcendental
functions",
treatment = "T Theoretical or Mathematical",
}
@Article{Greaves:1982:ASC,
author = "G. Greaves",
title = "An algorithm for the solution of certain
differential-difference equations of advanced type",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "237--247",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65R20 (10H30)",
MRnumber = "82m:65124",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0250 (Combinatorial mathematics); B0290B (Error
analysis in numerical methods); B0290P (Differential
equations); C1160 (Combinatorial mathematics); C4110
(Error analysis in numerical methods); C4170
(Differential equations)",
corpsource = "Dept. of Pure Maths., Univ. Coll. Cardiff, Cardiff,
UK",
keywords = "difference equations; differential-difference
equations; error analysis; number theory; numerical
approximation; numerical methods; numerical
performance; theory of numbers",
treatment = "T Theoretical or Mathematical",
}
@Article{Beck:1982:LBO,
author = "Walter E. Beck and Rudolph M. Najar",
title = "A Lower Bound for Odd Triperfects",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "249--251",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A20",
MRnumber = "83m:10006",
MRreviewer = "Carl Pomerance",
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 Maths., Univ. of Northern Iowa, Cedar Falls,
IA, USA",
keywords = "lower bound; natural number; number theory; odd
triperfects; triperfect",
treatment = "T Theoretical or Mathematical",
}
@Article{Brent:1982:SPP,
author = "Richard P. Brent",
title = "Succinct proofs of primality for the factors of some
{Fermat} numbers",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "253--255",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10-04 (10A25 65C99)",
MRnumber = "82k:10002",
MRreviewer = "D. H. Lehmer",
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 Computer Sci., Australian Nat. Univ.,
Canberra, ACT, Australia",
keywords = "factors; Fermat numbers; number theory; primality;
prime factors; proofs of",
treatment = "T Theoretical or Mathematical",
}
@Article{Laska:1982:AFM,
author = "Michael Laska",
title = "An algorithm for finding a minimal {Weierstrass}
equation for an elliptic curve",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "257--260",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "14K15 (14-04 14G25 14K07)",
MRnumber = "84e:14033",
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 = "Sonderforschungsbereich Theoretische Math., Bonn, West
Germany",
keywords = "algebraic number field; elliptic curve; equation;
function approximation; global minimal Weierstrass
equation; Weierstrass",
treatment = "T Theoretical or Mathematical",
}
@Article{Williams:1982:DPF,
author = "H. C. Williams",
title = "Determination of Principal Factors in
$\mathcal{Q}(\sqrt {D})$ and
$\mathcal{Q}(\sqrt[3]{D})$",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "261--274",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "12A30 (12A45)",
MRnumber = "83e:12001",
MRreviewer = "Horst Brunotte",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); B0250 (Combinatorial mathematics);
C1110 (Algebra); C1160 (Combinatorial mathematics)",
corpsource = "Dept. of Computer Sci., Univ. of Manitoba, Man.,
Canada",
keywords = "algebra; algebraic; algebraic number fields; integer;
number theory; principal factors; Voronoi's continued
fraction algorithm",
treatment = "T Theoretical or Mathematical",
}
@Article{Pohst:1982:ECFa,
author = "Michael Pohst and Hans Zassenhaus",
title = "On Effective Computation of Fundamental Units. {I}",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "275--291",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "12A45 (12-04)",
MRnumber = "83e:12005a",
MRreviewer = "Kurt Girstmair",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); B0250 (Combinatorial mathematics);
B0260 (Optimisation techniques); C1110 (Algebra); C1160
(Combinatorial mathematics); C1180 (Optimisation
techniques)",
corpsource = "Maths. Inst., Univ. Dusseldorf, Dusseldorf, West
Germany",
keywords = "algebra; algebraic number field; computation of
fundamental units; factorization; fundamental units;
ideal; linear programming; number theory",
treatment = "T Theoretical or Mathematical",
}
@Article{Pohst:1982:ECFb,
author = "Michael Pohst and Peter Weiler and Hans Zassenhaus",
title = "On Effective Computation of Fundamental Units. {II}",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "293--329",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "12A45 (12-04)",
MRnumber = "83e:12005b",
MRreviewer = "Kurt Girstmair",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Keller:1982:TEN,
author = "Wilfrid Keller",
title = "Table errata: {{``New primes of the form $k\cdot
2^{n}+1$''} {[Math. Comp. {\bf 33} (1979), no. 148,
1333--1336]}, MR 80h:10009, by R. Baillie}",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "335--335",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A25",
MRnumber = "82m:10013",
bibdate = "Wed Jan 15 08:44:30 1997",
acknowledgement = ack-nhfb,
}
@Article{Keller:1982:TEP,
author = "Wilfrid Keller",
title = "Table errata: {``Properties of the sequence $3\cdot
2^{n}+1$''} {[Math. Comp. {\bf 30} (1976), no. 135,
657--663, MR {\bf 53} \#7933] by S. W. Golomb}",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "335--335",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A40",
MRnumber = "82m:10024",
bibdate = "Sat Jan 11 13:29:06 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Keller:1982:TES,
author = "Wilfrid Keller",
title = "Table errata: {``Some very large primes of the form
$k\cdot 2^{m}+1$''} {[Math. Comp. {\bf 35} (1980), no.
152, 1419--1421], MR 81i:10011 by G. V. Cormack and H.
C. Williams}",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "335--335",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A25",
MRnumber = "82k:10011",
bibdate = "Wed Jan 15 08:45:52 1997",
acknowledgement = ack-nhfb,
}
@Article{Davenport:1982:TET,
author = "J. H. Davenport",
title = "Table errata: {{\em Tables of indefinite integrals}
[English translation, Dover, New York, 1961, MR {\bf
23} \#A256] by G. Petit Bois}",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "335--336",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "26A06",
MRnumber = "82j:26003",
bibdate = "Sat Jan 11 13:29:06 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Fettis:1982:CETa,
author = "Henry E. Fettis",
title = "Corrigendum: {``Table errata: {\em Table of integrals,
series, and products} by I. S. Grad{\v{s}}te{\u{\i}}n
and I. M. Ry{\v{z}}ik'' [Math. Comp. {\bf 36} (1981),
no. 153, 317--318], MR 82a:65009}",
journal = j-MATH-COMPUT,
volume = "38",
number = "157",
pages = "337--337",
month = jan,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65A05",
MRnumber = "82m:65001",
bibdate = "Sat Jan 11 13:29:06 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Osher:1982:UDS,
author = "Stanley Osher and Fred Solomon",
title = "Upwind difference schemes for hyperbolic systems of
conservation laws",
journal = j-MATH-COMPUT,
volume = "38",
number = "158",
pages = "339--374",
month = apr,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M05",
MRnumber = "83d:65247",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database; Parallel/Multi.bib",
acknowledgement = ack-nhfb,
}
@Article{Johnson:1982:ASM,
author = "Claes Johnson and Juhani Pitk{\"a}ranta",
title = "Analysis of some mixed finite element methods related
to reduced integration",
journal = j-MATH-COMPUT,
volume = "38",
number = "158",
pages = "375--400",
month = apr,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30",
MRnumber = "83d:65287",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Werschulz:1982:OEP,
author = "Arthur G. Werschulz",
title = "Optimal error properties of finite element methods for
second order elliptic {Dirichlet} problems",
journal = j-MATH-COMPUT,
volume = "38",
number = "158",
pages = "401--413",
month = apr,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30",
MRnumber = "83d:65300",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Halpern:1982:ABC,
author = "Laurence Halpern",
title = "Absorbing boundary conditions for the discretization
schemes of the one-dimensional wave equation",
journal = j-MATH-COMPUT,
volume = "38",
number = "158",
pages = "415--429",
month = apr,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M05",
MRnumber = "83d:65245",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Crisci:1982:SCM,
author = "M. R. Crisci and E. Russo",
title = "${A}$-stability of a class of methods for the
numerical integration of certain linear systems of
ordinary differential equations",
journal = j-MATH-COMPUT,
volume = "38",
number = "158",
pages = "431--435",
month = apr,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L07",
MRnumber = "83d:65219",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Rannacher:1982:SOE,
author = "Rolf Rannacher and Ridgway Scott",
title = "Some optimal error estimates for piecewise linear
finite element approximations",
journal = j-MATH-COMPUT,
volume = "38",
number = "158",
pages = "437--445",
month = apr,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30",
MRnumber = "83e:65180",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Kovvali:1982:PFS,
author = "S. Kovvali and G. K. Gupta",
title = "Polynomial formulation of second derivative multistep
methods",
journal = j-MATH-COMPUT,
volume = "38",
number = "158",
pages = "447--458",
month = apr,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L05",
MRnumber = "83d:65209",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Dennis:1982:DSU,
author = "J. E. {Dennis, Jr.} and Earl S. Marwil",
title = "Direct Secant Updates of Matrix Factorizations",
journal = j-MATH-COMPUT,
volume = "38",
number = "158",
pages = "459--474",
month = apr,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65H10",
MRnumber = "83d:65159",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Bunch:1982:NSD,
author = "James R. Bunch",
title = "A Note on the Stable Decomposition of Skew Symmetric
Matrices",
journal = j-MATH-COMPUT,
volume = "38",
number = "158",
pages = "475--479",
month = apr,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65F05",
MRnumber = "83d:65078",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database; Theory/Matrix.bib",
acknowledgement = ack-nhfb,
kwds = "nla, lud, skew-symmetric matrix",
}
@Article{Smith:1982:NCN,
author = "David A. Smith and William F. Ford",
title = "Numerical comparisons of nonlinear convergence
accelerators",
journal = j-MATH-COMPUT,
volume = "38",
number = "158",
pages = "481--499",
month = apr,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65B10 (65-04)",
MRnumber = "83d:65014",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Warsi:1982:NMG,
author = "Z. U. A. Warsi and J. F. Thompson",
title = "A noniterative method for the generation of orthogonal
coordinates in doubly-connected regions",
journal = j-MATH-COMPUT,
volume = "38",
number = "158",
pages = "501--516",
month = apr,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N50 (30C60 31A05)",
MRnumber = "83d:65307",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Sidi:1982:NEV,
author = "Avram Sidi",
title = "The numerical evaluation of very oscillatory infinite
integrals by extrapolation",
journal = j-MATH-COMPUT,
volume = "38",
number = "158",
pages = "517--529",
month = apr,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D30 (41A55 65B99)",
MRnumber = "83i:65023",
MRreviewer = "T. N. L. Patterson",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "A0260 (Numerical approximation and analysis); A0340D
(Mathematical theory of elasticity); A4630J
(Viscoelasticity, plasticity, viscoplasticity, creep,
and stress relaxation); B0290F (Interpolation and
function approximation); B0290M (Numerical integration
and differentiation); C4130 (Interpolation and function
approximation); C4160 (Numerical integration and
differentiation)",
corpsource = "Computer Sci. Dept., Technion-Israel Inst. of
Technol., Haifa, Israel",
keywords = "convergence; convergence of numerical methods;
integration; interpolation; Levin; nonlinear
extrapolation; numerical evaluation; oscillatory
infinite integrals; Sidi; viscoelasticity",
treatment = "T Theoretical or Mathematical",
}
@Article{Levin:1982:PCO,
author = "David Levin",
title = "Procedures for computing one- and two-dimensional
integrals of functions with rapid irregular
oscillations",
journal = j-MATH-COMPUT,
volume = "38",
number = "158",
pages = "531--538",
month = apr,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D30",
MRnumber = "83a:65023",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290M (Numerical integration and differentiation);
B0290P (Differential equations); C4160 (Numerical
integration and differentiation); C4170 (Differential
equations)",
corpsource = "School of Math. Sci., Tel-Aviv Univ., Ramat Aviv,
Israel",
keywords = "collocation; differential equations; functions;
integration; one-dimensional integrals; ordinary
differential equations; oscillatory; rapid irregular
oscillations; two-dimensional integration",
treatment = "T Theoretical or Mathematical",
}
@Article{Beighton:1982:EES,
author = "S. Beighton and B. Noble",
title = "An error estimate for {Stenger}'s quadrature formula",
journal = j-MATH-COMPUT,
volume = "38",
number = "158",
pages = "539--545",
month = apr,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D30",
MRnumber = "83a:65021",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{DiDonato:1982:RRI,
author = "A. R. DiDonato",
title = "Recurrence relations for the indefinite integrals of
the associated {Legendre} functions",
journal = j-MATH-COMPUT,
volume = "38",
number = "158",
pages = "547--551",
month = apr,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A45 (33A65)",
MRnumber = "84b:33008",
MRreviewer = "B. D. Agrawal",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Nemeth:1982:PTP,
author = "G{\'e}za N{\'e}meth and Magda Zim{\'a}nyi",
title = "Polynomial Type {Pad{\'e}} Approximants",
journal = j-MATH-COMPUT,
volume = "38",
number = "158",
pages = "553--565",
month = apr,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "41A21 (33A15 41A20)",
MRnumber = "83e:41020",
MRreviewer = "A. Magnus",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Wrigge:1982:GMA,
author = "Staffan Wrigge and Arne Frans{\'e}n",
title = "A General Method of Approximation. Part {I}",
journal = j-MATH-COMPUT,
volume = "38",
number = "158",
pages = "567--588",
month = apr,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "41A50 (15A57 65D15)",
MRnumber = "83f:41025",
MRreviewer = "A. G. Law",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Chambers:1982:UBF,
author = "Ll. G. Chambers",
title = "An upper bound for the first zero of {Bessel}
functions",
journal = j-MATH-COMPUT,
volume = "38",
number = "158",
pages = "589--591",
month = apr,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A65",
MRnumber = "83h:33011",
MRreviewer = "S. Ahmed",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Ling:1982:EGH,
author = "Chih Bing Ling",
title = "Evaluation of Generalized {Howland} Integrals",
journal = j-MATH-COMPUT,
volume = "38",
number = "158",
pages = "593--599",
month = apr,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D20 (65D30)",
MRnumber = "83a:65016",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Laderman:1982:SFP,
author = "Jack Laderman and Julian D. Laderman",
title = "Simplified Forecasting by Polynomial Regression with
Equally Spaced Values of the Independent Variable",
journal = j-MATH-COMPUT,
volume = "38",
number = "158",
pages = "601--610",
month = apr,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Hilliker:1982:ASC,
author = "David Lee Hilliker",
title = "An algorithm for solving a certain class of
{Diophantine} equations. {I}",
journal = j-MATH-COMPUT,
volume = "38",
number = "158",
pages = "611--626",
month = apr,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10B15 (10-04)",
MRnumber = "83h:10038",
MRreviewer = "E. L. Cohen",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Brunotte:1982:CCM,
author = "Horst Brunotte",
title = "The computation of a certain metric invariant of an
algebraic number field",
journal = j-MATH-COMPUT,
volume = "38",
number = "158",
pages = "627--632",
month = apr,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "12A99 (12-04 12A45)",
MRnumber = "83h:12024",
MRreviewer = "Hale F. Trotter",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Costello:1982:DPI,
author = "Patrick J. Costello",
title = "Density problems involving $p_{r}(n)$",
journal = j-MATH-COMPUT,
volume = "38",
number = "158",
pages = "633--637",
month = apr,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A45",
MRnumber = "83e:10016",
MRreviewer = "H. G. Meijer",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Buhler:1982:PF,
author = "J. P. Buhler and R. E. Crandall and M. A. Penk",
title = "Primes of the Form $n! \pm 1$ and $2 \cdot 3 \cdot 5
\cdots p \pm 1$",
journal = j-MATH-COMPUT,
volume = "38",
number = "158",
pages = "639--643",
month = apr,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A25 (10A10)",
MRnumber = "83c:10006",
MRreviewer = "Duncan A. Buell",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Gostin:1982:SNF,
author = "Gary B. Gostin and Philip B. {McLaughlin, Jr.}",
title = "Six New Factors of {Fermat} Numbers",
journal = j-MATH-COMPUT,
volume = "38",
number = "158",
pages = "645--649",
month = apr,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10-04 (10A25)",
MRnumber = "83c:10003",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Blair:1982:CRC,
author = "J. M. Blair",
title = "Corrigenda: {``Rational Chebyshev approximations for
the Bickley functions $Ki_{n}(x)$''} {[Math. Comp. {\bf
32} (1978), no. 143, 876--886 and C. A. Edwards MR {\bf
57} \#10999] by the author and J. H. Johnson}",
journal = j-MATH-COMPUT,
volume = "38",
number = "158",
pages = "657--657",
month = apr,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D20",
MRnumber = "83d:65045",
bibdate = "Wed Jan 15 08:48:01 1997",
acknowledgement = ack-nhfb,
}
@Article{Fettis:1982:CETb,
author = "Henry E. Fettis",
title = "Corrigenda: {``Erratum: {\em Table of integrals,
series, and products} [Academic Press, New York, 1965
and MR {\bf 33} \#5952] by I. S. Gradshte{\u{\i}}n and
I. M. Ryzhik''} {[Math. Comp. {\bf 27} (1973),
451--452, MR {\bf 54} \#4049] by A. Ojo and J.
Sadiku}",
journal = j-MATH-COMPUT,
volume = "38",
number = "158",
pages = "657--657",
month = apr,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65A05",
MRnumber = "83d:65009",
bibdate = "Sat Jan 11 13:29:06 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Hadjidimos:1982:COA,
author = "A. Hadjidimos",
title = "Corrigenda: {``Optimum accelerated overrelaxation
method in a special case''} {[Math. Comp. {\bf 36}
(1981), 183--187, MR 82c:65016] by G. Avdelas and the
author}",
journal = j-MATH-COMPUT,
volume = "38",
number = "158",
pages = "657--657",
month = apr,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65F10",
MRnumber = "83d:65099",
bibdate = "Wed Jan 15 08:47:50 1997",
acknowledgement = ack-nhfb,
}
@Article{Beale:1982:VMC,
author = "J. Thomas Beale and Andrew Majda",
title = "Vortex Methods. {I}: Convergence in Three Dimensions",
journal = j-MATH-COMPUT,
volume = "39",
number = "159",
pages = "1--27",
month = jul,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M15 (76C05)",
MRnumber = "83i:65069a",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "A0340G (Fluid dynamics: general mathematical aspects);
A4730 (Rotational flow, vortices, buoyancy and other
flows involving body forces)",
keywords = "algorithm; convergence of numerical methods;
convergent; crude vortex methods; dimensional vortex
methods; flows; simulation; stable; three-;
three-dimensional incompressible fluid; vortex; vortex
filament structures; vortex methods; vortices",
treatment = "T Theoretical or Mathematical",
}
@Article{Beale:1982:VMI,
author = "J. Thomas Beale and Andrew Majda",
title = "Vortex methods. {II}. Higher order accuracy in two and
three dimensions",
journal = j-MATH-COMPUT,
volume = "39",
number = "159",
pages = "29--52",
month = jul,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M15 (76C05)",
MRnumber = "83i:65069b",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "A0340G (Fluid dynamics: general mathematical aspects);
A4730 (Rotational flow, vortices, buoyancy and other
flows involving body forces)",
keywords = "consistency; convergence of numerical methods;
dimensional flows; incompressible flows; proof of
convergence; simulation; two-; vortex method;
vortices",
treatment = "T Theoretical or Mathematical",
}
@Article{Elden:1982:TDBa,
author = "Lars Eld{\'e}n",
title = "Time discretization in the backward solution of
parabolic equations. {I}",
journal = j-MATH-COMPUT,
volume = "39",
number = "159",
pages = "53--68",
month = jul,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M30",
MRnumber = "83f:65150",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Elden:1982:TDBb,
author = "Lars Eld{\'e}n",
title = "Time discretization in the backward solution of
parabolic equations. {II}",
journal = j-MATH-COMPUT,
volume = "39",
number = "159",
pages = "69--84",
month = jul,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M30",
MRnumber = "83f:65150",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Dupont:1982:MME,
author = "Todd Dupont",
title = "Mesh Modification for Evolution Equations",
journal = j-MATH-COMPUT,
volume = "39",
number = "159",
pages = "85--107",
month = jul,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M60",
MRnumber = "84g:65131",
MRreviewer = "D. M. Sloan",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Shampine:1982:TIO,
author = "L. F. Shampine",
title = "Type-insensitive {ODE} codes based on implicit
${A}(\alpha )$-stable formulas",
journal = j-MATH-COMPUT,
volume = "39",
number = "159",
pages = "109--123",
month = jul,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L05",
MRnumber = "83f:65116",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Bunse:1982:CBP,
author = "W. Bunse and A. Bunse-Gerstner",
title = "Computation of bounds for the positive eigenvector of
a nonnegative irreducible matrix by monotone
iteration",
journal = j-MATH-COMPUT,
volume = "39",
number = "159",
pages = "125--131",
month = jul,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65F15 (15A42)",
MRnumber = "83f:65050",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Brezinski:1982:SNC,
author = "Claude Brezinski",
title = "Some New Convergence Acceleration Methods",
journal = j-MATH-COMPUT,
volume = "39",
number = "159",
pages = "133--145",
month = jul,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65B05",
MRnumber = "83f:65003",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Brunner:1982:RKT,
author = "H. Brunner and E. Hairer and S. P. N{\o}rsett",
title = "{Runge--Kutta} theory for {Volterra} integral equations
of the second kind",
journal = j-MATH-COMPUT,
volume = "39",
number = "159",
pages = "147--163",
month = jul,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65R20",
MRnumber = "83f:65203",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Chang:1982:CEM,
author = "S. H. Chang",
title = "On certain extrapolation methods for the numerical
solution of integro-differential equations",
journal = j-MATH-COMPUT,
volume = "39",
number = "159",
pages = "165--171",
month = jul,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65R20",
MRnumber = "83f:65204",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Levin:1982:EDI,
author = "Moshe Levin",
title = "On the Evaluation of Double Integrals",
journal = j-MATH-COMPUT,
volume = "39",
number = "159",
pages = "173--177",
month = jul,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D32",
MRnumber = "83f:65032",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Nagaraja:1982:EI,
author = "K. S. Nagaraja and G. R. Verma",
title = "Evaluation of the Integral $\int^p_0 u^ne^{-u^2}(u +
x)^{-1} du$",
journal = j-MATH-COMPUT,
volume = "39",
number = "159",
pages = "179--194",
month = jul,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D20 (65A05 65D30)",
MRnumber = "83f:65024",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Shivakumar:1982:AEL,
author = "P. N. Shivakumar and R. Wong",
title = "Asymptotic expansion of the {Lebesgue} constants
associated with polynomial interpolation",
journal = j-MATH-COMPUT,
volume = "39",
number = "159",
pages = "195--200",
month = jul,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "41A05 (41A60)",
MRnumber = "83i:41006",
MRreviewer = "Christian Coatm{\'e}lec",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Boyd:1982:CPR,
author = "John P. Boyd",
title = "A {Chebyshev} polynomial rate-of-convergence theorem
for {Stieltjes} functions",
journal = j-MATH-COMPUT,
volume = "39",
number = "159",
pages = "201--206",
month = jul,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "41A25",
MRnumber = "83h:41022",
MRreviewer = "Y. L. Luke",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Mahler:1982:ZSS,
author = "K. Mahler",
title = "On the Zeros of a Special Sequence of Polynomials",
journal = j-MATH-COMPUT,
volume = "39",
number = "159",
pages = "207--212",
month = jul,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "12D10 (30C15 33A40)",
MRnumber = "83k:12019",
MRreviewer = "S. Ahmed",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Colman:1982:NPI,
author = "W. J. A. Colman",
title = "The number of partitions of the integer ${N}$ into
${M}$ nonzero positive integers",
journal = j-MATH-COMPUT,
volume = "39",
number = "159",
pages = "213--224",
month = jul,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A45",
MRnumber = "83h:10029",
MRreviewer = "L. Bruce Richmond",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Williams:1982:MF,
author = "H. C. Williams",
title = "A $p + 1$ Method of Factoring",
journal = j-MATH-COMPUT,
volume = "39",
number = "159",
pages = "225--234",
month = jul,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A25 (10-04)",
MRnumber = "83h:10016",
MRreviewer = "W. Herget",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Bremner:1982:IPT,
author = "Andrew Bremner and Patrick Morton",
title = "The Integer Points on Three Related Elliptic Curves",
journal = j-MATH-COMPUT,
volume = "39",
number = "159",
pages = "235--238",
month = jul,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10B10 (94B60)",
MRnumber = "83k:10031",
MRreviewer = "Loren D. Olson",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Rotkiewicz:1982:ELP,
author = "A. Rotkiewicz",
title = "On {Euler Lehmer} pseudoprimes and strong {Lehmer}
pseudoprimes with parameters ${L}$, ${Q}$ in arithmetic
progressions",
journal = j-MATH-COMPUT,
volume = "39",
number = "159",
pages = "239--247",
month = jul,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A05 (10A35)",
MRnumber = "83k:10004",
MRreviewer = "Don Redmond",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Boyd:1982:SRA,
author = "David W. Boyd",
title = "The Sequence of Radii of the {Apollonian} Packing",
journal = j-MATH-COMPUT,
volume = "39",
number = "159",
pages = "249--254",
month = jul,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "52A45",
MRnumber = "83i:52013",
MRreviewer = "J. B. Wilker",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Adams:1982:SPT,
author = "William Adams and Daniel Shanks",
title = "Strong Primality Tests that are Not Sufficient",
journal = j-MATH-COMPUT,
volume = "39",
number = "159",
pages = "255--300",
month = jul,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A25 (10-04 12-04)",
MRnumber = "84c:10007",
MRreviewer = "Jack P. Tull",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Baillie:1982:CPS,
author = "Robert Baillie and G. Cormack and H. C. Williams",
title = "Corrigenda: {``The problem of Sierpi{\'n}ski
concerning $k\cdot 2^{n}+1$''} {[Math. Comp. {\bf 37}
(1981), no. 155, 229--231]}",
journal = j-MATH-COMPUT,
volume = "39",
number = "159",
pages = "308--308",
month = jul,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A25",
MRnumber = "83a:10006b",
MRreviewer = "Graham Lord",
bibdate = "Wed Jan 15 08:48:32 1997",
acknowledgement = ack-nhfb,
}
@Article{Goldstein:1982:FEM,
author = "Charles I. Goldstein",
title = "A finite element method for solving {Helmholtz} type
equations in waveguides and other unbounded domains",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "309--324",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30 (65N15 78A50)",
MRnumber = "84e:65112",
MRreviewer = "Max D. Gunzburger",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "A0260 (Numerical approximation and analysis); A0340K
(Waves and wave propagation: general mathematical
aspects); A4320 (General linear acoustics); B0290B
(Error analysis in numerical methods); B0290P
(Differential equations); B5240D (Waveguide and cavity
theory)",
corpsource = "Appl. Math. Dept., Brookhaven Nat. Lab., Upton, NY,
USA",
keywords = "analysis; boundary value; boundary-value problems;
equations; error analysis; finite element; finite
element method; fixed bounded domain; Helmholtz type;
optimal error estimates; problems; unbounded domains;
variational formulation; variational techniques; wave
propagation; waveguide theory; waveguides; weak
formulation",
treatment = "T Theoretical or Mathematical",
}
@Article{Veron:1982:SRC,
author = "Laurent V{\'e}ron",
title = "Some remarks on the convergence of approximate
solutions of nonlinear evolution equations in {Hilbert}
spaces",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "325--337",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "47H15 (34A45)",
MRnumber = "83j:47051",
MRreviewer = "Seppo Heikkil{\"a}",
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 = "Dept. de Math., Univ. de Tours, Tours, France",
keywords = "continuous piecewise linear approximate; convergence;
convergence of numerical methods; function
approximation; group theory; Hilbert spaces; nonlinear
differential equations; nonlinear evolution equations;
solution",
treatment = "T Theoretical or Mathematical",
}
@Article{Baker:1982:HOA,
author = "Garth A. Baker and Vassilios A. Dougalis and Ohannes
A. Karakashian",
title = "On a higher order accurate fully discrete {Galerkin}
approximation to the {Navier--Stokes} equations",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "339--375",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M60 (65N30 76D05)",
MRnumber = "84h:65096",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "A0260 (Numerical approximation and analysis); A4710
(General fluid dynamics theory, simulation and other
computational methods)",
corpsource = "Lab. de Computacao Cientificas, Rio de Janeiro,
Brazil",
keywords = "analysis; approximation; approximation theory;
backward differentiation; boundary value;
boundary-value problems; convergence; differentiation;
extrapolation; finite element; finite-element method;
Galerkin; initial-value problem; linear system;
Navier--Stokes equations; of numerical methods; problem;
space discretisation; time stepping",
treatment = "T Theoretical or Mathematical",
}
@Article{Jerome:1982:EEM,
author = "Joseph W. Jerome and Michael E. Rose",
title = "Error estimates for the multidimensional two-phase
{Stefan} problem",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "377--414",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M60 (65M05 65M10)",
MRnumber = "84h:65097",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "A0260 (Numerical approximation and analysis); A0560
(Transport processes: theory); A4430 (Heat transfer in
inhomogeneous media and through interfaces)",
corpsource = "Dept. of Math., Northwestern Univ., Evanston, IL,
USA",
keywords = "approximation theory; approximations; convergence;
convergence of numerical methods; differential
equations; error analysis; Galerkin; heat transfer;
multidimensional two-phase Stefan problem",
treatment = "T Theoretical or Mathematical",
}
@Article{Paine:1982:CSL,
author = "J. Paine",
title = "Correction of {Sturm--Liouville} Eigenvalue Estimates",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "415--420",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L15",
MRnumber = "84h:65082",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290B (Error analysis in numerical methods); B0290F
(Interpolation and function approximation); B0290P
(Differential equations); C4110 (Error analysis in
numerical methods); C4130 (Interpolation and function
approximation); C4170 (Differential equations)",
corpsource = "Computer Sci. Dept., Univ. of Bristol, Bristol, UK",
keywords = "and eigenfunctions; approximation theory; coefficient
function; correction; differential equations;
eigenvalues; error; error analysis; function
approximation; interpolation; piecewise constant
interpolate; Sturm--Liouville Eigenvalue estimates;
uniform approximation",
treatment = "T Theoretical or Mathematical",
}
@Article{Markowich:1982:EPI,
author = "Peter A. Markowich",
title = "Eigenvalue Problems on Infinite Intervals",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "421--441",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "34B25",
MRnumber = "84e:34037",
MRreviewer = "A. Devinatz",
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 = "Dept. of Math., Univ. of Texas, Austin, TX, USA",
keywords = "and eigenfunctions; approximating problems;
approximation theory; boundary value problems;
boundary-value problems; convergence; differential
equations; eigenvalues; infinite interval; of numerical
methods; ordinary differential equations; spectral
subspaces",
treatment = "T Theoretical or Mathematical",
}
@Article{Jaccard:1982:ASO,
author = "Yves Jaccard and Hugo Ev{\'e}quoz",
title = "Approximation of the spectrum of an operator given by
the magnetohydrodynamic stability of a plasma",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "443--452",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30 (76-08 76E25)",
MRnumber = "84b:65113",
MRreviewer = "Juhani Pitkar{\"a}nta",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "A0260 (Numerical approximation and analysis); A5230
(Plasma flow; magnetohydrodynamics); A5235P (Plasma
instabilities)",
corpsource = "Dept. de Math., Ecole Polytech., Federale de Lausanne,
Lausanne, Switzerland",
keywords = "approximation theory; convergence; convergence of
numerical methods; dimensional model problem;
eigenvalues; Galerkin approximation;
magnetohydrodynamic stability; noncompact selfadjoint;
operator; operator spectrum; plasma; plasma
instability; plasma magnetohydrodynamics; subspaces;
toroidal configuration; two-",
treatment = "T Theoretical or Mathematical",
}
@Article{Bank:1982:AMI,
author = "Randolph E. Bank and Donald J. Rose",
title = "Analysis of a multilevel iterative method for
nonlinear finite element equations",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "453--465",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30 (65H10)",
MRnumber = "83j:65105",
MRreviewer = "Beny Neta",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database; Parallel/mgnet.bib;
Parallel/Multi.grid.bib; Theory/o_ccd.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., Univ. of California, San Diego, CA,
USA",
keywords = "approximation theory; convergence of numerical
methods; differential equations; discretised partial
differential equations; equations; finite element
analysis; globally convergent approximate Newton
method; iterative methods; multilevel iterative method;
nonlinear; nonlinear finite element; partial
differential equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Freilich:1982:NSS,
author = "J. H. Freilich and E. L. Ortiz",
title = "Numerical solution of systems of ordinary differential
equations with the {Tau} method: an error analysis",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "467--479",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L05",
MRnumber = "84k:65066",
MRreviewer = "P. M. Dew",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290B (Error analysis in numerical methods); B0290F
(Interpolation and function approximation); B0290P
(Differential equations); C4110 (Error analysis in
numerical methods); C4130 (Interpolation and function
approximation); C4170 (Differential equations)",
corpsource = "Dept. of Math., Imperial Coll., Univ. of London,
London, UK",
keywords = "algebraic; analysis; approximation; approximation
theory; differential equations; error; error analysis;
function approximation; ordinary differential
equations; polynomials; recursive formulation; Tau
method; vector solution",
treatment = "T Theoretical or Mathematical",
}
@Article{Gekeler:1982:LMM,
author = "Eckart Gekeler",
title = "Linear Multistep Methods for Stable Differential
Equations $y^{..} = Ay + {B}(t) y^. c(t)$",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "481--490",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L05",
MRnumber = "83j:65074",
MRreviewer = "David R. Hill",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290B (Error analysis in numerical methods); B0290F
(Interpolation and function approximation); B0290H
(Linear algebra); B0290P (Differential equations);
C4110 (Error analysis in numerical methods); C4130
(Interpolation and function approximation); C4140
(Linear algebra); C4170 (Differential equations)",
keywords = "a; approximation; approximation theory; convergence of
numerical methods; differential equations; error
analysis; exponential multiplication factor; linear;
matrix algebra; multistep methods; negative
semidefinite matrix; priori error bounds; real
symmetric matrix; stable differential equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Day:1982:TCI,
author = "J. D. Day and D. N. P. Murthy",
title = "Two classes of internally ${S}$-stable generalized
{Runge--Kutta} processes which remain consistent with an
inaccurate {Jacobian}",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "491--509",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L20",
MRnumber = "84b:65080",
MRreviewer = "W. H. Enright",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290B (Error analysis in numerical methods); B0290D
(Functional analysis); B0290F (Interpolation and
function approximation); B0290H (Linear algebra);
B0290P (Differential equations); C4110 (Error analysis
in numerical methods); C4120 (Functional analysis);
C4130 (Interpolation and function approximation); C4140
(Linear algebra); C4170 (Differential equations)",
corpsource = "Dept. of Mech. Engng., Univ. of Queensland, St. Lucia,
Qld., Australia",
keywords = "approximate Jacobian; approximation theory;
consistency; convergence of numerical methods;
differential equations; error analysis; error
estimator; function evaluation; function evaluations;
inaccurate Jacobian; internally S-stable generalized;
matrix algebra; ordinary differential equations;
Runge--Kutta methods; Runge--Kutta processes; stability;
stiff systems",
treatment = "T Theoretical or Mathematical",
}
@Article{Gladwin:1982:OIM,
author = "C. J. Gladwin",
title = "On optimal integration methods for {Volterra} integral
equations of the first kind",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "511--518",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65R20 (45D05 45L10)",
MRnumber = "83k:65099",
MRreviewer = "John M. Bownds",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0260 (Optimisation techniques); B0290F (Interpolation
and function approximation); B0290M (Numerical
integration and differentiation); B0290R (Integral
equations); C1180 (Optimisation techniques); C4130
(Interpolation and function approximation); C4160
(Numerical integration and differentiation); C4180
(Integral equations)",
corpsource = "Communications Res. Centre, Ottawa, Ont., Canada",
keywords = "consistency; convergence of numerical methods; first
kind; free; integral equations; integration; l/sub
2/-norm; minimisation; nonsingular Volterra integral
equations; optimal integration methods; optimisation;
parameters; polynomial; polynomials; stability",
treatment = "T Theoretical or Mathematical",
}
@Article{Graham:1982:GMS,
author = "Ivan G. Graham",
title = "{Galerkin} methods for second kind integral equations
with singularities",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "519--533",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65R20 (45E05 45L10)",
MRnumber = "84d:65090",
MRreviewer = "P. M. Anselone",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
B0290R (Integral equations); C4130 (Interpolation and
function approximation); C4180 (Integral equations)",
corpsource = "Dept. of Math., Univ. of Melbourne, Parkville, Vic.,
Australia",
keywords = "approximation; approximation theory; arbitrary;
convergence; convergence of numerical methods;
Fredholm; inhomogeneous; integral equations; iterated
Galerkin methods; iterative methods; quasiuniform
meshes; second kind integral equations; splines;
splines (mathematics); terms; weakly singular kernels",
treatment = "T Theoretical or Mathematical",
}
@Article{Lax:1982:EFI,
author = "M. Lax and G. P. Agrawal",
title = "Evaluation of {Fourier} integrals using
${B}$-splines",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "535--548",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D30 (42A15 65R10)",
MRnumber = "83i:65021",
MRreviewer = "Robert Piessens",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0230 (Integral transforms); B0290F (Interpolation and
function approximation); B0290M (Numerical integration
and differentiation); C1130 (Integral transforms);
C4130 (Interpolation and function approximation); C4160
(Numerical integration and differentiation)",
corpsource = "Phys. Dept., City Coll., City Univ., New York, NY,
USA",
keywords = "B-spline; continuous Fourier transform; discrete
transform method; fast Fourier transform; finite
Fourier integrals; fit; Fourier transforms;
integration; possibly nonuniform mesh; splines
(mathematics)",
treatment = "T Theoretical or Mathematical",
}
@Article{Sugihara:1982:NHM,
author = "Masaaki Sugihara and Kazuo Murota",
title = "A note on {Haselgrove}'s method for numerical
integration",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "549--554",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D30",
MRnumber = "84f:65020",
MRreviewer = "T. N. L. Patterson",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation)",
corpsource = "Dept. of Math. Engng., Univ. of Tokyo, Tokyo, Japan",
keywords = "d-; dimensional cubature formulae; H.; Haselgrove's
method; integrand functions; integration; Niederreiter;
numerical integration; weights",
treatment = "T Theoretical or Mathematical",
}
@Article{Jager:1982:SCN,
author = "H. Jager",
title = "On the speed of convergence of the nearest integer
continued fraction",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "555--558",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10K10",
MRnumber = "83k:10094",
MRreviewer = "W. W. Adams",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0250 (Combinatorial mathematics); B0290F
(Interpolation and function approximation); C1160
(Combinatorial mathematics); C4130 (Interpolation and
function approximation)",
corpsource = "Math. Inst. Univ. van Amsterdam, Amsterdam,
Netherlands",
keywords = "approximation theory; convergence; convergence of
numerical methods; ergodicity; integer continued
fraction expansion; nearest; number theory; regular
continued fraction expansion; shift operator; W. N.
Adams",
treatment = "T Theoretical or Mathematical",
}
@Article{VanderVorst:1982:GLS,
author = "H. A. {Van der Vorst}",
title = "A generalized {L{\'a}nczos} scheme",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "559--561",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65F15",
MRnumber = "84h:65039",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "Theory/Matrix.bib; JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Acad. Computer Centrum, Utrecht, Netherlands",
keywords = "eigenvalue problems; eigenvalues and eigenfunctions;
generalized; Lanczos scheme; matrix algebra;
skew-symmetric matrices",
kwds = "nla, Lanczos algorithm",
treatment = "T Theoretical or Mathematical",
}
@Article{Ziv:1982:RDE,
author = "Abraham Ziv",
title = "Relative distance---an error measure in round-off
error analysis",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "563--569",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65G05",
MRnumber = "83k:65035",
MRreviewer = "H.-J. Rack",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0250 (Combinatorial mathematics); B0290B (Error
analysis in numerical methods); B0290F (Interpolation
and function approximation); C1160 (Combinatorial
mathematics); C4110 (Error analysis in numerical
methods); C4130 (Interpolation and function
approximation)",
corpsource = "IBM Israel Sci. Center, Technion City, Haifa, Israel",
keywords = "approximation; approximation theory; error; error
analysis; function; linear normed spaces; matrix;
measure; number theory; real numbers; relative
distance; relative error; relative precision; round-off
error analysis; vector",
treatment = "T Theoretical or Mathematical",
}
@Article{Chow:1982:UBA,
author = "Jeff Chow",
title = "On the Uniqueness of Best ${L}_2\lbrack 0, 1 \rbrack$
Approximation by Piecewise Polynomials with Variable
Breakpoints",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "571--585",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "41A15",
MRnumber = "83j:41009",
MRreviewer = "Allan Pinkus",
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 = "Univ. of California, Los Alamos Nat. Lab., Los Alamos,
NM, USA",
keywords = "approximation theory; best L/sub 2/(0,1)
approximation; eventual; function approximation;
nonuniqueness; piecewise; polynomials; uniqueness;
variable breakpoints",
treatment = "T Theoretical or Mathematical",
}
@Article{Gabutti:1982:AMP,
author = "B. Gabutti and J. N. Lyness",
title = "An acceleration method for the power series of entire
functions of order $1$",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "587--597",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65B10 (30B10)",
MRnumber = "83j:65011",
MRreviewer = "Claude Brezinski",
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 di Calcoli Numerici, Univ. di Torino, Torino,
Italy",
keywords = "acceleration method; convergence of numerical methods;
entire functions; expansion; function approximation;
order 1; power series",
treatment = "T Theoretical or Mathematical",
}
@Article{Grothkopf:1982:CCP,
author = "U. Grothkopf and G. Opfer",
title = "Complex {Chebyshev} polynomials on circular sectors
with degree six or less",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "599--615",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "30E10 (65D20)",
MRnumber = "84a:30070",
MRreviewer = "Jack Williams",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0260 (Optimisation techniques); B0290F (Interpolation
and function approximation); C1180 (Optimisation
techniques); C4130 (Interpolation and function
approximation)",
corpsource = "Inst. for Appl. Math., Hamburg, West Germany",
keywords = "absolute maxima; Chebyshev approximation; circular
sectors; coefficients; complex Chebyshev polynomials;
critical angles; finite linear programming; infinite
linear programming; linear programming; Newton's
method; polynomials; semi-",
treatment = "T Theoretical or Mathematical",
}
@Article{Wills:1982:RCA,
author = "C. A. Wills and J. M. Blair and P. L. Ragde",
title = "Rational {Chebyshev} approximations for the {Bessel}
functions ${J}_{0}(x)$, ${J}_{1}(x)$, ${Y}_{0}(x)$,
${Y}_{1}(x)$",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "617--623",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D20 (33A40 41A50)",
MRnumber = "83j:65030",
MRreviewer = "C. W. Clenshaw",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0260 (Optimisation techniques); B0290F (Interpolation
and function approximation); C1180 (Optimisation
techniques); C4130 (Interpolation and function
approximation)",
corpsource = "AEG Ltd., Chalk River Nuclear Labs., Ont., Canada",
keywords = "approximations; Bessel functions; Chebyshev; Chebyshev
approximation; formulae; McMahon asymptotic; minimax
techniques; near-minimax rational approximation",
treatment = "T Theoretical or Mathematical",
}
@Article{Lassey:1982:CCI,
author = "Keith R. Lassey",
title = "On the computation of certain integrals containing the
modified {Bessel} function ${I}_{0}(\xi )$",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "625--637",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D20",
MRnumber = "83j:65029",
MRreviewer = "Walter Gautschi",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
B0290M (Numerical integration and differentiation);
C4130 (Interpolation and function approximation); C4160
(Numerical integration and differentiation)",
corpsource = "Inst. of Nuclear Sci., DSIR, Lower Hutt, New Zealand",
keywords = "approximation; approximation theory; convergence of
numerical methods; convergent series; function;
function approximation; integration; limiting
behaviour; modified Bessel; numerical integration;
one-dimensional integrals; two-dimensional integrals",
treatment = "T Theoretical or Mathematical",
}
@Article{Cruz:1982:ZHF,
author = "Andr{\'e}s Cruz and Javier Sesma",
title = "Zeros of the {Hankel} function of real order and of
its derivative",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "639--645",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A40",
MRnumber = "83j:33005",
MRreviewer = "S. Ahmed",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290D (Functional analysis); B0290F (Interpolation
and function approximation); C4120 (Functional
analysis); C4130 (Interpolation and function
approximation)",
corpsource = "Dept. de Fisica Teorica, Univ. de Zaragoza, Zaragoza,
Spain",
keywords = "approximation; derivative; evaluation; function
approximation; function evaluation; Hankel function;
poles and zeros; real order; trajectories; zeros",
treatment = "T Theoretical or Mathematical",
}
@Article{Kolbig:1982:CE,
author = "K. S. K{\"o}lbig",
title = "Closed Expressions for $\int^1_0 t^{-1} \log^{n-1}t
\log^p(1 - t) dt$",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "647--654",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A70 (33-04)",
MRnumber = "83k:33027",
MRreviewer = "I. John Zucker",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/red-g-l.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib; JSTOR
database",
acknowledgement = ack-nhfb,
annote = "Closed form of integral for easy calculation. Used
REDUCE for manipulations. This class includes dilog,
Spence functions etc. Remarks that REDUCE is easier
than FORTRAN.",
classcodes = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation)",
comment = "Closed form of integral for easy calculation. Used
{REDUCE} for manipulations. This class includes dilog,
Spence functions etc. Remarks that {REDUCE} is easier
than {FORTRAN}.",
corpsource = "CERN, Geneva, Switzerland",
keywords = "closed expressions; computer; formula manipulation;
integral; integration; Reduce",
treatment = "T Theoretical or Mathematical",
}
@Article{Murray:1982:FF,
author = "Francis J. Murray",
title = "Formulas for Factorial ${N}$",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "655--662",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A15 (39A70 41A60)",
MRnumber = "83j:33002",
MRreviewer = "H. E. Fettis",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290B (Error analysis in numerical methods); B0290F
(Interpolation and function approximation); C4110
(Error analysis in numerical methods); C4130
(Interpolation and function approximation)",
corpsource = "Dept. of Math., Duke Univ., Durham, NC, USA",
keywords = "approximation theory; asymptotic series; Burnside's
formula; convergence of numerical methods; convergent
series; divergent series; error analysis; error
estimates; factorial N; Stirling's formula",
treatment = "T Theoretical or Mathematical",
}
@Article{Butler:1982:CPMa,
author = "Gregory Butler and John J. Cannon",
title = "Computing in Permutation and Matrix Groups. {I}.
Normal Closure, Commutator Subgroups, Series",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "663--670",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "20-04 (20F14 20G40)",
MRnumber = "83k:20004a",
MRreviewer = "J. D. Dixon",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "Math/algebra.bib; JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); B0290H (Linear algebra); C1110
(Algebra); C4140 (Linear algebra)",
corpsource = "Dept. of Math., McGill Univ., Montreal, Que., Canada",
keywords = "algorithms; base and strong generating set of, normal
closure, series; central series; closures; commutator
subgroups; computation; derived series; elementary
operations; group theory; lower central series; matrix
algebra; matrix groups; normal; permutation groups;
permutation groups, matrix groups; upper",
reviews = "MR 83k:20004a (J. D. Dixon), Zbl 552.20004",
treatment = "T Theoretical or Mathematical",
}
@Article{Butler:1982:CPMb,
author = "Gregory Butler and John J. Cannon",
title = "Computing in permutation and matrix groups. {II}.
{Backtrack} algorithm",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "671--680",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "20-04 (20E25 20G40)",
MRnumber = "83k:20004b",
MRreviewer = "J. D. Dixon",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "Math/algebra.bib; JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); B0290H (Linear algebra); C1110
(Algebra); C4140 (Linear algebra)",
corpsource = "Dept. of Math., McGill Univ., Montreal, Que., Canada",
keywords = "backtrack algorithm; backtrack through stabilizer
chain; centralisers; computation; conjugate elements;
group theory; intersections; matrix algebra; matrix
groups; permutation groups; permutation groups, matrix
groups; set stabilisers",
reviews = "MR 83k:20004b (J. D. Dixon), Zbl 552.20003 (see Zbl
552.20004 for a review of this article)",
treatment = "T Theoretical or Mathematical",
}
@Article{Brent:1982:ZRZ,
author = "R. P. Brent and J. {van de Lune} and H. J. J. {te
Riele} and D. T. Winter",
title = "On the zeros of the {Riemann} zeta function in the
critical strip. {II}",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "681--688",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10H05 (10-04 30-04)",
MRnumber = "83m:10067",
MRreviewer = "J{\"u}rgen G. Hinz",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290D (Functional analysis); C4120 (Functional
analysis)",
corpsource = "Dept. of Computer Sci., Australian Nat. Univ.,
Canberra, ACT, Australia",
keywords = "critical strip; failures of Rosser's rule; function
evaluation; functions; Gram blocks; poles and zeros;
Riemann zeta function; zeros",
treatment = "T Theoretical or Mathematical",
}
@Article{Llorente:1982:RCF,
author = "P. Llorente and A. V. Oneto",
title = "On the Real Cubic Fields",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "689--692",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "12A30 (12-04)",
MRnumber = "84f:12002",
MRreviewer = "Kurt Girstmair",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); B0250 (Combinatorial mathematics);
C1110 (Algebra); C1160 (Combinatorial mathematics)",
corpsource = "Univ. del Zulia, Maracaibo, Venezuela",
keywords = "class numbers; coefficients; cubic fields;
discriminant; generating; index; nonconjugate
{nonAbelian}; number theory; polynomial; polynomials;
real cubic fields",
treatment = "T Theoretical or Mathematical",
}
@Article{vanderLinden:1982:CNC,
author = "F. J. {van der Linden}",
title = "Class Number Computations of Real {Abelian} Number
Fields",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "693--707",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "12A50 (12A35)",
MRnumber = "84e:12005",
MRreviewer = "F. Diaz y Diaz",
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., Univ. van Amsterdam, Amsterdam,
Netherlands",
keywords = "A. M. Odlyzko; class numbers; discriminant bounds;
generalised Riemann; hypothesis; J. M. Masley; number
theory; real abelian number fields",
treatment = "T Theoretical or Mathematical",
}
@Article{Zagier:1982:NMN,
author = "Don Zagier",
title = "On the number of {Markoff} numbers below a given
bound",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "709--723",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10F20 (10A20 10B10)",
MRnumber = "83k:10062",
MRreviewer = "Richard T. Bumby",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0250 (Combinatorial mathematics); B0290B (Error
analysis in numerical methods); C1160 (Combinatorial
mathematics); C4110 (Error analysis in numerical
methods)",
corpsource = "Univ. Bonn, Bonn, West Germany",
keywords = "Diophantine equation; error analysis; error bounds;
indefinite quadratic forms; lattice points; Markoff
numbers; number theory; triangles",
treatment = "T Theoretical or Mathematical",
}
@Article{Hudson:1982:CNF,
author = "Richard H. Hudson and Kenneth S. Williams",
title = "Class Number Formulae of {Dirichlet} Type",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "725--732",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "12A50 (12A25)",
MRnumber = "84b:12013",
MRreviewer = "Harvey Cohn",
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. Statistics, Univ. of South Carolina,
Columbia, SC, USA",
keywords = "class number formulae; Dirichlet type; number theory",
treatment = "T Theoretical or Mathematical",
}
@Article{Brillhart:1982:TEN,
author = "John Brillhart",
title = "Table errata: {{``New primality criteria and
factorizations of $2^{m}\pm and 1$''} {[Math. Comp.
{\bf 29} (1975), 620--647 and D. H. Lehmer MR {\bf 52}
\#5546] by the author and J. L. Selfridge}}",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "747--747",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A25 (10-04)",
MRnumber = "83j:10010",
bibdate = "Sat Jan 11 13:29:06 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{vanHaeringen:1982:TET,
author = "H. {van Haeringen} and L. P. Kok",
title = "Table errata: {{\em Table of integrals, series, and
products} [corrected and 1980 {enlarged edition,
Academic Press, New York} and MR 81g:33001] by {I. S}.
Gradshteyn [{I. S}. Gradshte{\u{\i}}n] and {I. M}.
Ryzhik}",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "747--757",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33-01 (65A05)",
MRnumber = "83j:33001",
bibdate = "Sat Jan 11 13:29:06 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Shanks:1982:CHC,
author = "Daniel Shanks",
title = "Corrigendum: {H. C. Williams, {``Some primes with
interesting digit patterns''} [Math. Comp. {\bf 32}
(1978), no. 144, 1306--1310, MR {\bf 58} \#484]}",
journal = j-MATH-COMPUT,
volume = "39",
number = "160",
pages = "759--759",
month = oct,
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A30",
MRnumber = "83k:10013",
bibdate = "Wed Jan 15 08:49:25 1997",
acknowledgement = ack-nhfb,
}
@Article{Michelson:1983:STD,
author = "Daniel Michelson",
title = "Stability theory of difference approximations for
multidimensional initial-boundary value problems",
journal = j-MATH-COMPUT,
volume = "40",
number = "161",
pages = "1--45",
month = jan,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M10",
MRnumber = "84d:65068",
MRreviewer = "G. I. Sulkhanishvili",
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 = "Dept. of Math., Univ. of California, Los Angeles, CA,
USA",
keywords = "algebra; approximation theory; boundary value
problems; Cauchy problem; convergence of numerical
methods; difference approximations; difference
equations; dissipative; dissipative difference
approximations; function approximation; hyperbolic
differential problem; initial value; multidimensional
initial-; operators; partial differential equations;
problems; pseudo-difference; stability theory; variable
coefficients; weakly",
treatment = "T Theoretical or Mathematical",
}
@Article{Schatz:1983:FEM,
author = "A. H. Schatz and L. B. Wahlbin",
title = "On the finite element method for singularly perturbed
reaction-diffusion problems in two and one dimensions",
journal = j-MATH-COMPUT,
volume = "40",
number = "161",
pages = "47--89",
month = jan,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30",
MRnumber = "84c:65137",
MRreviewer = "Rolf Rannacher",
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 = "Dept. of Math., Cornell Univ., Ithaca, NY, USA",
keywords = "analysis; approximation theory; boundary-value
problems; equations; error; finite element analysis;
finite element method; Galerkin; one dimension; partial
differential; problem; reaction-diffusion problems;
second-order; second-order elliptic boundary-value
problems; singularly perturbed; two dimensions; zero
order equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Sanders:1983:CMF,
author = "Richard Sanders",
title = "On convergence of monotone finite difference schemes
with variable spatial differencing",
journal = j-MATH-COMPUT,
volume = "40",
number = "161",
pages = "91--106",
month = jan,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M05 (65M10 65M15)",
MRnumber = "84a:65075",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Douglas:1983:ITD,
author = "Jim {Douglas, Jr.} and Mary Fanett Wheeler",
key = "Douglas \& Wheeler",
title = "Implicit, Time-dependent Variable Grid Finite
Difference Methods for the Approximation of a Linear
Waterflood",
journal = j-MATH-COMPUT,
volume = "40",
number = "161",
pages = "107--121",
month = jan,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M10 (35L65)",
MRnumber = "84a:65078",
MRreviewer = "Alain Yves le Roux",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database; Parallel/Multi.bib",
acknowledgement = ack-nhfb,
}
@Article{Markowich:1983:CMB,
author = "Peter A. Markowich and Christian A. Ringhofer",
title = "Collocation methods for boundary value problems on
{``long''} intervals",
journal = j-MATH-COMPUT,
volume = "40",
number = "161",
pages = "123--150",
month = jan,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L10 (65D07)",
MRnumber = "84d:65053",
MRreviewer = "Robert D. Russell",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Chen:1983:SEE,
author = "Goong Chen and Wendell H. {Mills, Jr.} and Shun Hua
Sun and David A. Yost",
title = "Sharp error estimates for a finite element-penalty
approach to a class of regulator problems",
journal = j-MATH-COMPUT,
volume = "40",
number = "161",
pages = "151--173",
month = jan,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65K10 (49D30)",
MRnumber = "84b:65061",
MRreviewer = "B. T. Polyak",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Cash:1983:BRKa,
author = "J. R. Cash",
title = "Block {Runge--Kutta} Methods for the Numerical
Integration of Initial Value Problems in Ordinary
Differential Equations. Part {I}. The Nonstiff Case",
journal = j-MATH-COMPUT,
volume = "40",
number = "161",
pages = "175--191",
month = jan,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L05",
MRnumber = "84d:65044a",
MRreviewer = "W. C. Rheinboldt",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
B0290M (Numerical integration and differentiation);
B0290P (Differential equations); C4130 (Interpolation
and function approximation); C4160 (Numerical
integration and differentiation); C4170 (Differential
equations)",
corpsource = "Dept. of Math., Imperial Coll., London, UK",
keywords = "approximate numerical integration; approximation
theory; block implicit formulae; block Runge--Kutta
formulae; C. W. Gear; differential equations;
equations; first order; formulae; initial value;
initial value problems; integration; linear multistep
methods; nonstiff problems; order; ordinary
differential; problems; Runge--Kutta methods;
Runge--Kutta starters; stepsize; stiff problems;
systems; variable order; variable order block
explicit",
treatment = "T Theoretical or Mathematical",
}
@Article{Cash:1983:BRKb,
author = "J. R. Cash",
title = "Block {Runge--Kutta} Methods for the Numerical
Integration of Initial Value Problems in Ordinary
Differential Equations. Part {II}. The Stiff Case",
journal = j-MATH-COMPUT,
volume = "40",
number = "161",
pages = "193--206",
month = jan,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L05",
MRnumber = "84d:65044b",
MRreviewer = "W. C. Rheinboldt",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
B0290M (Numerical integration and differentiation);
B0290P (Differential equations); C4130 (Interpolation
and function approximation); C4160 (Numerical
integration and differentiation); C4170 (Differential
equations)",
corpsource = "Dept. of Math., Imperial Coll., London, UK",
keywords = "approximate numerical integration; approximation
theory; block Runge--Kutta formulae; diagonally;
differential equations; formulae; implicit Runge--Kutta
formulae; initial value; integration; ordinary
differential equations; problems; Runge--Kutta methods;
stiff differential systems; variable order block
explicit",
treatment = "T Theoretical or Mathematical",
}
@Article{Cooper:1983:ARK,
author = "G. J. Cooper and A. Sayfy",
title = "Additive {Runge--Kutta} methods for stiff ordinary
differential equations",
journal = j-MATH-COMPUT,
volume = "40",
number = "161",
pages = "207--218",
month = jan,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L05",
MRnumber = "84b:65066",
MRreviewer = "W. H. Enright",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290H (Linear algebra); B0290P (Differential
equations); C4140 (Linear algebra); C4170 (Differential
equations)",
corpsource = "School of Math. and Phys. Sci., Univ. of Sussex,
Brighton, UK",
keywords = "A-stable method; additive methods; convergence of
numerical methods; differential equations; explicit
method; LU factorisation; matrix; matrix algebra;
ordinary differential equations; pairs of methods;
perturbed linear differential equations; Runge--Kutta
methods; semiexplicit method; stability property;
stiff",
treatment = "T Theoretical or Mathematical",
}
@Article{Axelsson:1983:PTL,
author = "O. Axelsson and I. Gustafsson",
title = "Preconditioning and two-level multigrid methods of
arbitrary degree of approximation",
journal = j-MATH-COMPUT,
volume = "40",
number = "161",
pages = "219--242",
month = jan,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N50 (65N30)",
MRnumber = "84i:65104",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database; Parallel/mgnet.bib;
Parallel/Multi.grid.bib",
acknowledgement = ack-nhfb,
}
@Article{Lucas:1983:PII,
author = "Thomas R. Lucas",
title = "A posteriori improvements for interpolating periodic
splines",
journal = j-MATH-COMPUT,
volume = "40",
number = "161",
pages = "243--251",
month = jan,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "41A15 (65D07)",
MRnumber = "84i:41015",
MRreviewer = "E. Neuman",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Nielson:1983:MIS,
author = "Gregory M. Nielson",
title = "A method for interpolating scattered data based upon a
minimum norm network",
journal = j-MATH-COMPUT,
volume = "40",
number = "161",
pages = "253--271",
month = jan,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D05 (41A05 65D07)",
MRnumber = "85b:65007",
MRreviewer = "B. I. Kvasov",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database; Graphics/siggraph/83.bib",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Math., Arizona State Univ., Tempe, AZ, USA",
keywords = "algorithms; bivariate function; continuous first order
partial; curve network; derivatives; domain; function
approximation; interpolation; minimum; minimum norm;
network; pseudonorm properties; scattered data;
triangulation",
treatment = "T Theoretical or Mathematical",
}
@Article{Levin:1983:ACD,
author = "Moshe Levin",
title = "On the Approximate Calculation of Double Integrals",
journal = j-MATH-COMPUT,
volume = "40",
number = "161",
pages = "273--282",
month = jan,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D32 (41A55 65D30)",
MRnumber = "84c:65051",
MRreviewer = "S. Dubuc",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
B0290M (Numerical integration and differentiation);
C4130 (Interpolation and function approximation); C4160
(Numerical integration and differentiation)",
corpsource = "School of Math. Sci., Tel-Aviv. Univ., Tel-Aviv,
Israel",
keywords = "approximate calculation; approximation theory;
asymptotically optimal formulae; cubature formulae;
double integrals; formulae; function approximation;
functions; integration; line integrals; quadrature;
rectangular-lattices of knots",
treatment = "T Theoretical or Mathematical",
}
@Article{Mityagin:1983:QPL,
author = "Boris Mityagin",
title = "Quadratic pencils and least-squares
piecewise-polynomial approximation",
journal = j-MATH-COMPUT,
volume = "40",
number = "161",
pages = "283--300",
month = jan,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "41A15 (47A68)",
MRnumber = "84c:41006",
MRreviewer = "Klaus H{\"o}llig",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Wolkenfelt:1983:MMM,
author = "P. H. M. Wolkenfelt",
title = "Modified multilag methods for {Volterra} functional
equations",
journal = j-MATH-COMPUT,
volume = "40",
number = "161",
pages = "301--316",
month = jan,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65R20",
MRnumber = "84c:65158",
MRreviewer = "Sean McKee",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Lucia:1983:EQN,
author = "Angelo Lucia",
title = "An explicit {quasi-Newton} update for sparse
optimization calculations",
journal = j-MATH-COMPUT,
volume = "40",
number = "161",
pages = "317--322",
month = jan,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65K05",
MRnumber = "83k:65052",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Cybenko:1983:GOT,
author = "George Cybenko",
title = "A general orthogonalization technique with
applications to time series analysis and signal
processing",
journal = j-MATH-COMPUT,
volume = "40",
number = "161",
pages = "323--336",
month = jan,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65F25 (62M20)",
MRnumber = "84a:65032",
MRreviewer = "N. N. Abdelmalek",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Gautschi:1983:CBC,
author = "Walter Gautschi",
title = "On the convergence behavior of continued fractions
with real elements",
journal = j-MATH-COMPUT,
volume = "40",
number = "161",
pages = "337--342",
month = jan,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "40A15 (33A15)",
MRnumber = "84i:40001",
MRreviewer = "Kh. {\u{I}}. Kuchm{\=\i}ns{\'k}a",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Coleman:1983:CEB,
author = "J. P. Coleman and A. J. Monaghan",
title = "{Chebyshev} expansions for the {Bessel} function
${J}_{n}(z)$ in the complex plane",
journal = j-MATH-COMPUT,
volume = "40",
number = "161",
pages = "343--366",
month = jan,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65A05 (30E10 33A40 65D20)",
MRnumber = "84c:65013",
MRreviewer = "C. W. Clenshaw",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Arscott:1983:NCE,
author = "F. M. Arscott and P. J. Taylor and R. V. M. Zahar",
title = "On the numerical construction of ellipsoidal wave
functions",
journal = j-MATH-COMPUT,
volume = "40",
number = "161",
pages = "367--380",
month = jan,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D20 (33A60 65H10 65P05)",
MRnumber = "83k:65015",
MRreviewer = "Walter Gautschi",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Jaeschke:1983:SSA,
author = "G. Jaeschke",
title = "On the smallest $k$ such that all $k\cdot 2^{n}+1$ are
composite",
journal = j-MATH-COMPUT,
volume = "40",
number = "161",
pages = "381--384",
month = jan,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A25 (10-04)",
MRnumber = "84k:10006",
MRreviewer = "Anthony A. Gioia",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Wagstaff:1983:DMN,
author = "Samuel S. {Wagstaff, Jr.}",
title = "Divisors of {Mersenne} Numbers",
journal = j-MATH-COMPUT,
volume = "40",
number = "161",
pages = "385--397",
month = jan,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10H15 (10-04 10A25)",
MRnumber = "84j:10052",
MRreviewer = "Jack P. Tull",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Hagis:1983:SPO,
author = "Peter {Hagis, Jr.}",
title = "Sketch of a proof that an odd perfect number
relatively prime to $3$ has at least eleven prime
factors",
journal = j-MATH-COMPUT,
volume = "40",
number = "161",
pages = "399--404",
month = jan,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11A25 (11-04)",
MRnumber = "85b:11004",
MRreviewer = "Masao Kishore",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Kishore:1983:OPN,
author = "Masao Kishore",
title = "Odd Perfect Numbers Not Divisible by $3$. {II}",
journal = j-MATH-COMPUT,
volume = "40",
number = "161",
pages = "405--411",
month = jan,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A20",
MRnumber = "84d:10009",
MRreviewer = "Harvey Cohn",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Chen:1983:TEM,
author = "T. Charles Chen",
title = "Table errata: {{\em Methods of numerical integration}
[Academic Press, New York, 1975, MR {\bf 56} \#7119] by
P. J. Davis and P. Rabinowitz}",
journal = j-MATH-COMPUT,
volume = "40",
number = "161",
pages = "417--417",
month = jan,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D30",
MRnumber = "83m:65019",
bibdate = "Sat Jan 11 13:29:06 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Baker:1983:CGA,
author = "Garth A. Baker and Vassilios A. Dougalis and Ohannes
A. Karakashian",
title = "Convergence of {Galerkin} approximations for the
{Korteweg-de Vries} equation",
journal = j-MATH-COMPUT,
volume = "40",
number = "162",
pages = "419--433",
month = apr,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M60 (65M10)",
MRnumber = "84f:65072",
MRreviewer = "J. Ll. Morris",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "A0260 (Numerical approximation and analysis)",
keywords = "(mathematics); approximation theory; convergence of
numerical methods; extrapolation; fully discrete;
Galerkin approximations; iterative methods; Korteweg-de
Vries equation; l-; Newton iteration; nonlinear
differential equations; optimal rate of convergence
estimates; periodic solutions; schemes; second order in
time; semidiscrete schemes; smooth splines; splines;
uniform mesh",
treatment = "T Theoretical or Mathematical",
}
@Article{Rose:1983:NMF,
author = "Michael E. Rose",
title = "Numerical methods for flows through porous media.
{I}",
journal = j-MATH-COMPUT,
volume = "40",
number = "162",
pages = "435--467",
month = apr,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M60 (76S05)",
MRnumber = "85a:65146",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "A0340G (Fluid dynamics: general mathematical aspects);
A4755M (Flow through porous media)",
corpsource = "Dept. of Maths., Tulane Univ., New Orleans, LA, USA",
keywords = "continuous time; degenerate parabolic equation;
discrete time; element procedures; error analysis;
error estimates; finite; finite element analysis; flow
through porous; flows; gas; media; partial differential
equations; porous media; regularity",
treatment = "T Theoretical or Mathematical",
}
@Article{LeVeque:1983:NMB,
author = "Randall J. LeVeque and Joseph Oliger",
title = "Numerical methods based on additive splittings for
hyperbolic partial differential equations",
journal = j-MATH-COMPUT,
volume = "40",
number = "162",
pages = "469--497",
month = apr,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M05",
MRnumber = "84c:65116",
MRreviewer = "John C. Strikwerda",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Keast:1983:CSF,
author = "P. Keast and G. Fairweather and J. C. Diaz",
title = "A computational study of finite element methods for
second order linear two-point boundary value problems",
journal = j-MATH-COMPUT,
volume = "40",
number = "162",
pages = "499--518",
month = apr,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L10 (65N30 65N35)",
MRnumber = "84c:65103",
MRreviewer = "V. Pereyra",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4140 (Linear algebra); C4170 (Differential
equations); C7310 (Mathematics computing)",
corpsource = "Dept. of Computer Sci., Univ. of Toronto, Toronto,
Ont., Canada",
keywords = "algebra; almost block diagonal structure; B-spline
basis; boundary-value problems; collocation;
convergence; convergence of numerical methods;
differential equations; families; finite element;
finite element analysis; linear; linear algebraic
equations; linear boundary conditions; methods;
parameterised; piecewise; polynomial; polynomials;
problems; second order linear two-point boundary value;
separated boundary conditions; special purpose solver",
treatment = "P Practical",
}
@Article{Smith:1983:PII,
author = "William E. Smith and Ian H. Sloan and Alex H. Opie",
title = "Product integration over infinite intervals. {I}.
Rules based on the zeros of {Hermite} polynomials",
journal = j-MATH-COMPUT,
volume = "40",
number = "162",
pages = "519--535",
month = apr,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D32",
MRnumber = "85a:65047",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Falk:1983:EEN,
author = "Richard S. Falk",
title = "Error estimates for the numerical identification of a
variable coefficient",
journal = j-MATH-COMPUT,
volume = "40",
number = "162",
pages = "537--546",
month = apr,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N99 (65N30)",
MRnumber = "84f:65085",
MRreviewer = "E. G. D'yakonov",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Iserles:1983:FFR,
author = "A. Iserles and S. P. N{\o}rsett",
title = "Frequency Fitting of Rational Approximations to the
Exponential Function",
journal = j-MATH-COMPUT,
volume = "40",
number = "162",
pages = "547--559",
month = apr,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "41A20 (65L05)",
MRnumber = "84b:41013",
MRreviewer = "A. J. Rodrigues",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Glasser:1983:RPD,
author = "M. L. Glasser",
title = "A Remarkable Property of Definite Integrals",
journal = j-MATH-COMPUT,
volume = "40",
number = "162",
pages = "561--563",
month = apr,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "26A06 (26A42)",
MRnumber = "84c:26003",
MRreviewer = "G. A. Heuer",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Kolbig:1983:Ia,
author = "K. S. K{\"o}lbig",
title = "On the Integral $\int^{\pi/2}_0 \log^n \cos x \log^p
\sin x dx$",
journal = j-MATH-COMPUT,
volume = "40",
number = "162",
pages = "565--570",
month = apr,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A35 (10H05)",
MRnumber = "84d:33004",
MRreviewer = "Anton Hut'a",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "Theory/Comp.Alg.1.bib; JSTOR database",
acknowledgement = ack-nhfb,
annote = "A formula is derived for the integral in the title
which allows easy evaluation by formula manipulation on
a computer.",
classcodes = "C4160 (Numerical integration and differentiation)",
corpsource = "CERN, Geneva, Switzerland",
keywords = "computer; formula manipulation; integration; Reduce",
treatment = "T Theoretical or Mathematical",
}
@Article{Adler:1983:BMT,
author = "Andrew Adler",
title = "On the Bisection Method for Triangles",
journal = j-MATH-COMPUT,
volume = "40",
number = "162",
pages = "571--574",
month = apr,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "51M15 (51M20 65L50 65N50)",
MRnumber = "84d:51028",
MRreviewer = "S. R. Mandan",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Ellacott:1983:CFS,
author = "S. W. Ellacott",
title = "Computation of {Faber} series with application to
numerical polynomial approximation in the complex
plane",
journal = j-MATH-COMPUT,
volume = "40",
number = "162",
pages = "575--587",
month = apr,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D15 (30B50 30E10 41A10)",
MRnumber = "84e:65021",
MRreviewer = "G. Opfer",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Thron:1983:TEB,
author = "W. J. Thron and Haakon Waadeland",
title = "Truncation error bounds for limit periodic continued
fractions",
journal = j-MATH-COMPUT,
volume = "40",
number = "162",
pages = "589--597",
month = apr,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "30B70 (41A45)",
MRnumber = "84f:30009",
MRreviewer = "L. J. Lange",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Streit:1983:NSI,
author = "Roy L. Streit and Albert H. Nuttall",
title = "A note on the semi-infinite programming approach to
complex approximation",
journal = j-MATH-COMPUT,
volume = "40",
number = "162",
pages = "599--605",
month = apr,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "49D39 (30E10 90C05)",
MRnumber = "84g:49059",
MRreviewer = "H. Voigt",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Riley:1983:ACI,
author = "Robert Riley",
title = "Applications of a computer implementation of
{Poincar{\'e}}'s theorem on fundamental polyhedra",
journal = j-MATH-COMPUT,
volume = "40",
number = "162",
pages = "607--632",
month = apr,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "20H10 (11F06 20-04 22E40 51M20 57N10)",
MRnumber = "85b:20064",
MRreviewer = "William Harvey",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1110 (Algebra); C1160 (Combinatorial mathematics);
C7310 (Mathematics computing)",
corpsource = "Inst. for Advanced Study, Princeton, NJ, USA",
keywords = "algebra; algebraic topology; algorithmically defined
group; complex quadratic; computer; FORTRAN programs;
fundamental polyhedra; group; half space model;
hyperbolic 3-space; hyperbolic space; implementation;
isometries; number field; Poincar{\'e}'s theorem;
topology; upper",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Grayson:1983:OSK,
author = "Matthew A. Grayson",
title = "The orbit space of a {Kleinian} group: {Riley}'s
modest example",
journal = j-MATH-COMPUT,
volume = "40",
number = "162",
pages = "633--646",
month = apr,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "20H10 (11F06 30F40 51M20 57M25)",
MRnumber = "85b:20065",
MRreviewer = "William Harvey",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Brady:1983:DVR,
author = "Allen H. Brady",
title = "The Determination of the Value of {Rado}'s
Noncomputable Function ${\Sigma}(k)$ for Four-State
{Turing} Machines",
journal = j-MATH-COMPUT,
volume = "40",
number = "162",
pages = "647--665",
month = apr,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "03D10 (03B35 03D15 68C30 68D20)",
MRnumber = "84d:03049",
MRreviewer = "Robert M. Baer",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4120 (Functional analysis); C4220 (Automata theory);
C4240 (Programming and algorithm theory); C7310
(Mathematics computing)",
corpsource = "Dept. of Maths., Univ. of Nevada, Reno, NV, USA",
keywords = "blank input tape halting problem; Busy Beaver;
cellular automata; computability and decidability;
evaluation; finite automata; four-; function; function
evaluation; Game; heuristic level; proof techniques;
Rado's noncomputable function; score; shift number;
state Turing machines; Turing machines",
}
@Article{Gerver:1983:ISI,
author = "Joseph L. Gerver",
title = "Irregular sets of integers generated by the greedy
algorithm",
journal = j-MATH-COMPUT,
volume = "40",
number = "162",
pages = "667--676",
month = apr,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10L20 (10H20)",
MRnumber = "84d:10056",
MRreviewer = "Jack P. Tull",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Evans:1983:TFP,
author = "Ronald J. Evans",
title = "Twenty-Fourth Power Residue Difference Sets",
journal = j-MATH-COMPUT,
volume = "40",
number = "162",
pages = "677--683",
month = apr,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "12C20 (05B10 10G05 10L05)",
MRnumber = "84e:12024",
MRreviewer = "A. L. Whiteman",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Vaughan:1983:DQE,
author = "Theresa P. Vaughan",
title = "The discriminant of a quadratic extension of an
algebraic field",
journal = j-MATH-COMPUT,
volume = "40",
number = "162",
pages = "685--707",
month = apr,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "12A50 (12A25)",
MRnumber = "84e:12006",
MRreviewer = "Harvey Cohn",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Wunderlich:1983:PAS,
author = "M. C. Wunderlich",
title = "A performance analysis of a simple prime-testing
algorithm",
journal = j-MATH-COMPUT,
volume = "40",
number = "162",
pages = "709--714",
month = apr,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A25 (10-04)",
MRnumber = "84e:10011",
MRreviewer = "R. G. Larson",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1160 (Combinatorial mathematics); C7310 (Mathematics
computing)",
corpsource = "Dept. of Math. Sci., Northern Illinois Univ., Dekalb,
IL, USA",
keywords = "algorithm; down; empirical performance analysis;
number theory; prime-proving program; recursive
characteristics",
treatment = "P Practical",
}
@Article{Schwindt:1983:TSC,
author = "H. Schwindt",
title = "Three Summation Criteria for {Fermat's Last Theorem}",
journal = j-MATH-COMPUT,
volume = "40",
number = "162",
pages = "715--716",
month = apr,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10-04 (10B15)",
MRnumber = "84b:10003",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Smith:1983:TEH,
author = "John M. Smith",
title = "Table errata: {{\em Handbook of mathematical functions
with formulas, graphs and mathematical tables} [Nat.
Bur. Standards, Washington, D.C., 1964 and MR {\bf 29}
\#4914].}",
journal = j-MATH-COMPUT,
volume = "40",
number = "162",
pages = "723--724",
month = apr,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65A05 (00A22)",
MRnumber = "84e:65008",
bibdate = "Sat Jan 11 13:29:06 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Keller:1983:CPF,
author = "Wilfred Keller",
title = "Corrigendum: {{``Primes of the form $n!\pm 1$ and
$2\cdot 3\cdot 5\cdots p\pm 1$''} {[Math. Comp. {\bf
38} (1982), no. 158, 639--643 and MR 83c:10006] by J.
P. Buhler, R. E. Crandall and M. A. Penk}}",
journal = j-MATH-COMPUT,
volume = "40",
number = "162",
pages = "727--727",
month = apr,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11Y11 (11A07 11A41)",
MRnumber = "85b:11119",
bibdate = "Wed Jan 15 08:51:30 1997",
acknowledgement = ack-nhfb,
}
@Article{Sloan:1983:BCF,
author = "D. M. Sloan",
title = "Boundary conditions for a fourth order hyperbolic
difference scheme",
journal = j-MATH-COMPUT,
volume = "41",
number = "163",
pages = "1--11",
month = jul,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M10",
MRnumber = "85a:65142",
MRreviewer = "Vassilios A. Dougalis",
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., Univ. of Strathclyde, Glasgow, UK",
keywords = "accuracy; boundary conditions; boundary errors; fourth
order hyperbolic difference; partial differential
equations; scheme; stability",
treatment = "T Theoretical or Mathematical",
}
@Article{Li:1983:SHC,
author = "Zi Cai Li and Guo Ping Liang",
title = "On the Simplified Hybrid-Combined Method",
journal = j-MATH-COMPUT,
volume = "41",
number = "163",
pages = "13--25",
month = jul,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30",
MRnumber = "84g:65152",
MRreviewer = "C. Phillips",
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 Computer Sci., Univ. of Toronto, Toronto,
Ont., Canada",
keywords = "algebraic equation system; boundary value problems;
boundary-value problems; differential equations;
element analysis; elliptic equations; finite; finite
element methods; optimal error; Ritz-Galerkin method;
simplified hybrid-combined method; singularities;
unbounded domains",
treatment = "T Theoretical or Mathematical",
}
@Article{Crisci:1983:EOR,
author = "M. R. Crisci and E. Russo",
title = "An extension of {Ortiz}' recursive formulation of the
tau method to certain linear systems of ordinary
differential equations",
journal = j-MATH-COMPUT,
volume = "41",
number = "163",
pages = "27--42",
month = jul,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L05 (65L07)",
MRnumber = "85b:65061",
MRreviewer = "W. H. Enright",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Istituto di Matematica, Univ. di Napoli, Napoli,
Italy",
keywords = "differential equations; linear systems; numerical
solution; ordinary differential equations; Ortiz'
recursive formulation; polynomial coefficients; Tau
method",
treatment = "T Theoretical or Mathematical",
}
@Article{McCormick:1983:UMS,
author = "S. F. McCormick and J. W. Ruge",
title = "Unigrid for Multigrid Simulation",
journal = j-MATH-COMPUT,
volume = "41",
number = "163",
pages = "43--62",
month = jul,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N20 (65F10 65N50)",
MRnumber = "84g:65146",
MRreviewer = "Randall J. LeVeque",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "Parallel/mgnet.bib; Parallel/Multi.grid.bib; JSTOR
database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Dept. of Math., Colorado State Univ., Fort Collins,
CO, USA",
keywords = "boundary value problems; boundary-value problems; fine
grid approximation; multigrid simulation; partial
differential equations; software tool; unigrid",
treatment = "T Theoretical or Mathematical",
}
@Article{Rabinowitz:1983:GKI,
author = "Philip Rabinowitz",
title = "{Gauss--Kronrod} integration rules for {Cauchy}
principal value integrals",
journal = j-MATH-COMPUT,
volume = "41",
number = "163",
pages = "63--78",
month = jul,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D30",
MRnumber = "84i:65029",
MRreviewer = "T. H. Lim",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
B0290R (Integral equations); C4130 (Interpolation and
function approximation); C4180 (Integral equations)",
corpsource = "Dept. of Appl. Math., Weizmann Inst. of Sci., Rehovot,
Israel",
keywords = "Cauchy; Gauss--Kronrod integration rules; integral
equations; polynomials; principal value integrals",
treatment = "T Theoretical or Mathematical",
}
@Article{Ioakimidis:1983:FCR,
author = "N. I. Ioakimidis",
title = "Further convergence results for the weighted
{Galerkin} method of numerical solution of
{Cauchy-type} singular integral equations",
journal = j-MATH-COMPUT,
volume = "41",
number = "163",
pages = "79--85",
month = jul,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65R20 (45E05 45L10)",
MRnumber = "84g:65164",
MRreviewer = "P. Linz",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290R (Integral equations); C4180 (Integral
equations)",
corpsource = "School of Engng., Univ. of Patras, Patras, Greece",
keywords = "Cauchy-type singular integral equations; convergence;
finite; integral equations; interval; numerical
solution; polynomials; sufficiently weak continuity
assumptions; weighted Galerkin method",
treatment = "T Theoretical or Mathematical",
}
@Article{Lubich:1983:RKT,
author = "Ch. Lubich",
title = "{Runge--Kutta} theory for {Volterra} and {Abel}
integral equations of the second kind",
journal = j-MATH-COMPUT,
volume = "41",
number = "163",
pages = "87--102",
month = jul,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65R20",
MRnumber = "85a:65178",
MRreviewer = "Syvert P. N{\o}rsett",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Inst. fur Angewandte Math., Univ. Heidelberg,
Heidelberg, West Germany",
keywords = "Abel; exact solutions; integral equations; Runge--Kutta
methods; Runge--Kutta theory; smoothness properties;
Volterra integral equations; weakly singular",
treatment = "T Theoretical or Mathematical",
}
@Article{Lund:1983:SFQ,
author = "John Lund",
title = "Sinc function quadrature rules for the {Fourier}
integral",
journal = j-MATH-COMPUT,
volume = "41",
number = "163",
pages = "103--113",
month = jul,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D30",
MRnumber = "85b:65018",
MRreviewer = "A. Lupa{\c{s}}",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0230 (Integral transforms); C1130 (Integral
transforms)",
corpsource = "Dept. of Math. Sci., Montana State Univ., Bozeman, MT,
USA",
keywords = "conformal map; Fourier transforms; numerical
algorithm; numerical analysis; sinc function quadrature
rules; Whittaker cardinal function expansion",
treatment = "T Theoretical or Mathematical",
}
@Article{Haber:1983:PIP,
author = "Seymour Haber",
title = "Parameters for integrating periodic functions of
several variables",
journal = j-MATH-COMPUT,
volume = "41",
number = "163",
pages = "115--129",
month = jul,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D32 (41A55)",
MRnumber = "85g:65033",
MRreviewer = "I. P. Mysovskikh",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290B (Error analysis in numerical methods); C4110
(Error analysis in numerical methods)",
corpsource = "Center for Appl. Math., NBS, Washington, DC, USA",
keywords = "error bounds; functions; number-theoretical method;
numerical integration; numerical methods; numerical
parameters; periodic",
treatment = "T Theoretical or Mathematical",
}
@Article{Chui:1983:SMS,
author = "Charles K. Chui and Ren Hong Wang",
title = "On Smooth Multivariate Spline Functions",
journal = j-MATH-COMPUT,
volume = "41",
number = "163",
pages = "131--142",
month = jul,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "41A15 (41A63)",
MRnumber = "84f:41011",
MRreviewer = "Klaus H{\"o}llig",
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 = "approximation; cross-cut grid; function approximation;
interpolation; partitions; smooth multivariate spline
functions; splines (mathematics)",
treatment = "T Theoretical or Mathematical",
}
@Article{Dahmen:1983:LIM,
author = "Wolfgang A. Dahmen and Charles A. Micchelli",
title = "On the linear independence of multivariate
${B}$-splines. {II}. Complete configurations",
journal = j-MATH-COMPUT,
volume = "41",
number = "163",
pages = "143--163",
month = jul,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "41A15 (65D07)",
MRnumber = "85c:41016b",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
corpsource = "Fakultat fur Math., Univ. Bielefeld, Bielefeld, West
Germany",
keywords = "characterizations; combinatorial criteria; global;
knot sets; linear independence; multivariate B-splines;
smooth piecewise polynomials; splines (mathematics)",
treatment = "T Theoretical or Mathematical",
}
@Article{Dyn:1983:NSE,
author = "Nira Dyn and Warren E. {Ferguson, Jr.}",
title = "The numerical solution of equality constrained
quadratic programming problems",
journal = j-MATH-COMPUT,
volume = "41",
number = "163",
pages = "165--170",
month = jul,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "90C20",
MRnumber = "85b:90051",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0260 (Optimisation techniques); C1180 (Optimisation
techniques)",
corpsource = "School of Math. Sci., Tel-Aviv Univ., Tel-Aviv,
Israel",
keywords = "constrained; equality constraints;
equality-constrained quadratic; iterative schemes;
linear; minimisation; minimization problem; numerical
solution; programming problems; quadratic functional
subject; quadratic programming",
treatment = "T Theoretical or Mathematical",
}
@Article{Kolbig:1983:Ib,
author = "K. S. K{\"o}lbig",
title = "On the Integral $\int^\infty_0 e^{-\mu t}t^{\nu - 1}
\log^m t dt$",
journal = j-MATH-COMPUT,
volume = "41",
number = "163",
pages = "171--182",
month = jul,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A70 (33A15 44A10 80A99)",
MRnumber = "84h:33021",
MRreviewer = "H. E. Fettis",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "Theory/Comp.Alg.1.bib; JSTOR database",
acknowledgement = ack-nhfb,
annote = "A recurrence relation is given for the integral in the
title.",
classcodes = "B0230 (Integral transforms); C1130 (Integral
transforms)",
corpsource = "CERN, Geneva, Switzerland",
keywords = "half-; integer; integer values; integral transforms;
recurrence relation; Reduce; transforms",
treatment = "T Theoretical or Mathematical",
}
@Article{McCabe:1983:QDA,
author = "J. H. McCabe",
title = "The quotient-difference algorithm and the {Pad{\'e}}
table: an alternative form and a general continued
fraction",
journal = j-MATH-COMPUT,
volume = "41",
number = "163",
pages = "183--197",
month = jul,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "30B70 (10A30 10F20 41A21)",
MRnumber = "84k:30008",
MRreviewer = "A. Magnus",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Appl. Math., Univ. of St. Andrews, St.
Andrews, Fife, UK",
keywords = "approximation theory; fraction; general continued;
Pad{\'e} approximants; Pad{\'e} table; power series;
quotient-difference algorithm; series (mathematics)",
treatment = "T Theoretical or Mathematical",
}
@Article{Lubinsky:1983:LZO,
author = "D. S. Lubinsky and A. Sharif",
title = "On the largest zeroes of orthogonal polynomials for
certain weights",
journal = j-MATH-COMPUT,
volume = "41",
number = "163",
pages = "199--202",
month = jul,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "42C05 (33A65)",
MRnumber = "84f:42015",
MRreviewer = "T. S. Chihara",
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., Inst. of Technol., Haifa, Israel",
keywords = "asymptotic growth; largest zeroes; orthogonal
polynomials; poles and zeros; polynomials",
treatment = "T Theoretical or Mathematical",
}
@Article{Benton:1983:CZT,
author = "T. C. Benton",
title = "Common Zeros of Two {Bessel} Functions. Part {II}.
Approximations and Tables",
journal = j-MATH-COMPUT,
volume = "41",
number = "163",
pages = "203--217",
month = jul,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A40 (65A05)",
MRnumber = "85a:33010",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical
analysis)",
corpsource = "Dept. of Math., Pennsylvania State Univ., University
Park, PA, USA",
keywords = "Bessel functions; computer program; poles and zeros",
treatment = "T Theoretical or Mathematical",
}
@Article{Rall:1983:RIO,
author = "L. B. Rall",
title = "Representations of intervals and optimal error
bounds",
journal = j-MATH-COMPUT,
volume = "41",
number = "163",
pages = "219--227",
month = jul,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65G10 (41A50)",
MRnumber = "84g:65057",
MRreviewer = "H. Ratschek",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290B (Error analysis in numerical methods); C4110
(Error analysis in numerical methods)",
corpsource = "Math. Res. Center, Univ. of Wisconsin-Madison,
Madison, WI, USA",
keywords = "absolute; error; error analysis; geometric means;
harmonic; interval analysis; interval arithmetic;
numerical analysis; optimal error bounds; relative
error; relative precision",
treatment = "T Theoretical or Mathematical",
}
@Article{Gerth:1983:AMF,
author = "Frank {Gerth, III}",
title = "An application of matrices over finite fields to
algebraic number theory",
journal = j-MATH-COMPUT,
volume = "41",
number = "163",
pages = "229--234",
month = jul,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11R29 (11R21 15A33)",
MRnumber = "85b:11094",
MRreviewer = "Alan Candiotti",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); C1160 (Combinatorial mathematics)",
corpsource = "Dept. of Math., Univ. of Texas, Austin, TX, USA",
keywords = "algebraic number; finite fields; matrices application;
matrix algebra; number theory; p-class group; theory",
treatment = "T Theoretical or Mathematical",
}
@Article{Williams:1983:RME,
author = "H. C. Williams and G. W. Dueck and B. K. Schmid",
title = "A rapid method of evaluating the regulator and class
number of a pure cubic field",
journal = j-MATH-COMPUT,
volume = "41",
number = "163",
pages = "235--286",
month = jul,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "12A50 (12-04 12A30 12A45)",
MRnumber = "84m:12010",
MRreviewer = "Charles J. Parry",
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 Computer Sci., Univ. of Manitoba, Winnipeg,
Man., Canada",
keywords = "algebraic number; class number; continued fraction
algorithm; field; integral equations; negative
discriminant; positive integer; pure cubic field;
regulator; Voronoi algorithm",
treatment = "T Theoretical or Mathematical",
}
@Article{Gerver:1983:FLN,
author = "Joseph L. Gerver",
title = "Factoring Large Numbers with a Quadratic Sieve",
journal = j-MATH-COMPUT,
volume = "41",
number = "163",
pages = "287--294",
month = jul,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11Y05 (11-04 11N35)",
MRnumber = "85c:11122",
MRreviewer = "M. C. Wunderlich",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0260 (Optimisation techniques); C1180 (Optimisation
techniques)",
corpsource = "Dept. of Math., Rutgers Univ., Camden, NJ, USA",
keywords = "47-digit number; CFEA; continued fraction; quadratic
programming; quadratic sieve",
treatment = "T Theoretical or Mathematical",
}
@Article{Schoof:1983:CGC,
author = "R. J. Schoof",
title = "Class Groups of Complex Quadratic Fields",
journal = j-MATH-COMPUT,
volume = "41",
number = "163",
pages = "295--302",
month = jul,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "12A25 (12-04 12A50 14K07)",
MRnumber = "84h:12005",
MRreviewer = "F. Diaz y Diaz",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Seah:1983:CLC,
author = "Eric Seah and Lawrence C. Washington and Hugh C.
Williams",
title = "The calculation of a large cubic class number with an
application to real cyclotomic fields",
journal = j-MATH-COMPUT,
volume = "41",
number = "163",
pages = "303--305",
month = jul,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "12A50 (12-04 12A35)",
MRnumber = "84m:12008",
MRreviewer = "Charles J. Parry",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{vanHaeringen:1983:TEHa,
author = "H. {van Haeringen} and L. P. Kok",
title = "Table errata: {{\em Higher transcendental functions,
Vol. I} [McGraw-Hill, New York, 1955, F. Oberhettinger,
MR {\bf 16}, 586] by A. Erd{\'e}lyi, W. Magnus and F.
G. Tricomi}",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "778--779",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33-XX",
MRnumber = "84m:33001a",
bibdate = "Wed Jan 15 08:53:07 1997",
acknowledgement = ack-nhfb,
}
@Article{vanHaeringen:1983:TEHb,
author = "H. {van Haeringen} and L. P. Kok",
title = "Table errata: {{\em Higher transcendental functions,
Vol. II} [McGraw-Hill, New York, 1955, F.
Oberhettinger, MR {\bf 16}, 586] by A. Erd{\'e}lyi, W.
Magnus and F. G. Tricomi}",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "778--778",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33-XX",
MRnumber = "84m:33001b",
bibdate = "Wed Jan 15 08:53:07 1997",
acknowledgement = ack-nhfb,
}
@Article{vanHaeringen:1983:TEHc,
author = "H. {van Haeringen} and L. P. Kok",
title = "Table errata: {{\em Higher transcendental functions,
Vol. III} [McGraw-Hill, New York, 1955, F.
Oberhettinger, MR {\bf 16}, 586] by A. Erd{\'e}lyi, W.
Magnus and F. G. Tricomi}",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "778--778",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33-XX",
MRnumber = "84m:33001c",
bibdate = "Wed Jan 15 08:53:07 1997",
acknowledgement = ack-nhfb,
}
@Article{Tadmor:1983:UII,
author = "Eitan Tadmor",
title = "The unconditional instability of inflow-dependent
boundary conditions in difference approximations to
hyperbolic systems",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "309--319",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M10",
MRnumber = "85a:65143",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Osher:1983:NAN,
author = "Stanley Osher and Richard Sanders",
title = "Numerical approximations to nonlinear conservation
laws with locally varying time and space grids",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "321--336",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M10 (65M05 76-08)",
MRnumber = "85i:65121",
MRreviewer = "Darrell L. Hicks",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database; Parallel/mgnet.bib;
Parallel/Multi.bib; Parallel/Multi.grid.bib",
acknowledgement = ack-nhfb,
}
@Article{White:1983:MFD,
author = "R. E. White",
title = "A modified finite difference scheme for the {Stefan}
problem",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "337--347",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M10 (80A20)",
MRnumber = "85m:65094",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Arnold:1983:ACC,
author = "Douglas N. Arnold and Wolfgang L. Wendland",
title = "On the Asymptotic Convergence of Collocation Methods",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "349--381",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N35 (65L10 65L60 65N30)",
MRnumber = "85h:65254",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Arnold:1983:STG,
author = "Douglas N. Arnold",
title = "A spline-trigonometric {Galerkin} method and an
exponentially convergent boundary integral method",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "383--397",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N15 (41A15 45L05 65D07 65R20)",
MRnumber = "84m:65117",
MRreviewer = "G. T. Symm",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation);
C4150 (Nonlinear and functional equations)",
keywords = "(mathematics); analytic plane; boundary-value
problems; convergent boundary integral method; curve;
Dirichlet problem; exponentially; functional equations;
Hilbert spaces; negative order; numerical solution;
periodic cardinal splines; pointwise convergence;
potential formulation; quasioptimal approximation;
single layer; Sobolev; space variable; spaces;
spline-trigonometric Galerkin method; splines; stable
method; test functions; trial functions; trigonometric
polynomials",
treatment = "T Theoretical or Mathematical",
}
@Article{Pitkaranta:1983:ASM,
author = "J. Pitk{\"a}ranta and R. Stenberg",
title = "Analysis of some mixed finite element methods for
plane elasticity equations",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "399--423",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N15 (73K25)",
MRnumber = "85b:65099",
MRreviewer = "N. Gass",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Zlamal:1983:LSN,
author = "Milo{\v{s}} Zl{\'a}mal",
title = "A linear scheme for the numerical solution of
nonlinear quasistationary magnetic fields",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "425--440",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30 (78-08 78A30)",
MRnumber = "86a:65123",
MRreviewer = "Wolfgang Moldenhauer",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "A0260 (Numerical approximation and analysis); A4110F
(Steady-state electromagnetic fields; electromagnetic
induction); B0290K (Nonlinear and functional
equations); B5120 (Magnetostatics); C4150 (Nonlinear
and functional equations); C7320 (Physics and chemistry
computing)",
keywords = "boundary condition; bounded domain; convergence;
equation; error bound; fields; generalized Galerkin
method; linear scheme; magnetic fields; magnetic
vector; nonlinear; nonlinear elliptic; nonlinear
equations; nonlinear parabolic equation; numerical
analysis; numerical solution; one-step method; open
nonempty set; physics computing; potential;
quasistationary magnetic fields; stable scheme;
two-dimensional magnetic",
treatment = "T Theoretical or Mathematical",
}
@Article{Douglas:1983:NMM,
author = "Jim {Douglas, Jr.} and Jean E. Roberts",
title = "Numerical Methods for a Model for Compressible
Miscible Displacement in Porous Media",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "441--459",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M60 (76S05)",
MRnumber = "85d:65053",
MRreviewer = "Jaros{\l}aw Jele{\'n}",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Galeone:1983:UPM,
author = "Luciano Galeone",
title = "The use of positive matrices for the analysis of the
large time behavior of the numerical solution of
reaction-diffusion systems",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "461--472",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M10 (15A51 65C20)",
MRnumber = "85b:65086",
MRreviewer = "Darrell L. Hicks",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Mittelmann:1983:EAB,
author = "H. D. Mittelmann",
title = "An efficient algorithm for bifurcation problems of
variational inequalities",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "473--485",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65J15 (49A29 49D37)",
MRnumber = "85c:65072",
MRreviewer = "Henry Wolkowicz",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Scheid:1983:ANS,
author = "Robert E. {Scheid, Jr.}",
title = "The accurate numerical solution of highly oscillatory
ordinary differential equations",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "487--509",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L05 (34C29)",
MRnumber = "85i:65091",
MRreviewer = "H. Brunner",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4140 (Linear algebra); C4170 (Differential
equations)",
keywords = "accurate computation; analysis; asymptotic; diagonal;
highly; imaginary eigenvalues; large time steps;
matrix; matrix algebra; nonlinear differential
equations; numerical; numerical solution; oscillatory
ordinary differential equations; theory; weakly
nonlinear equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Papatheodorou:1983:BAI,
author = "Theodore S. Papatheodorou",
title = "Block {AOR} Iteration for Nonsymmetric Matrices",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "511--525",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65F50 (65F10)",
MRnumber = "86a:65035",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Ypma:1983:LCD,
author = "T. J. Ypma",
title = "Local convergence of difference {Newton-like}
methods",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "527--536",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65H10",
MRnumber = "85f:65053",
MRreviewer = "Michel Cosnard",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Hasegawa:1983:GCI,
author = "Takemitsu Hasegawa and Tatsuo Torii and Ichizo
Ninomiya",
title = "Generalized {Chebyshev} interpolation and its
application to automatic quadrature",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "537--553",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D32 (41A55 65D05)",
MRnumber = "84m:65037",
MRreviewer = "M. M. Chawla",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4110 (Error analysis in numerical methods); C4130
(Interpolation and function approximation)",
keywords = "automatic quadrature; Chebyshev approximation;
Clenshaw-Curtis type; derivatives; discontinuous low
order; error analysis; error estimation; generalized
Chebyshev interpolation; interpolation; procedure;
sample points",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Massidda:1983:ACC,
author = "Vittorio Massidda",
title = "Analytical calculation of a class of integrals
containing exponential and trigonometric functions",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "555--557",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A10 (42A16)",
MRnumber = "84k:33002",
MRreviewer = "G. Gasper",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Kearfott:1983:SAI,
author = "Ralph Baker Kearfott",
title = "A Sinc Approximation for the Indefinite Integral",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "559--572",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D30 (41A99)",
MRnumber = "85g:65029",
MRreviewer = "B. Boyanov",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Wilkins:1983:MQS,
author = "J. Ernest {Wilkins, Jr.} and Theodore R. Hatcher",
title = "The Maximum of a Quasi-Smooth Function",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "573--589",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "26D20",
MRnumber = "85d:26008",
MRreviewer = "Paul R. Beesack",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{King:1983:ABL,
author = "Richard F. King",
title = "{Anderson--Bj{\"o}rck} for Linear Sequences",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "591--596",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65B99",
MRnumber = "85i:65006",
MRreviewer = "D. C. Joyce",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Cruz:1983:MPR,
author = "Andr{\'e}s Cruz and Javier Sesma",
title = "Modulus and phase of the reduced logarithmic
derivative of the {Hankel} function",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "597--605",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A40 (65H05 81F10)",
MRnumber = "85b:33006",
MRreviewer = "H. E. Fettis",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Kershaw:1983:SEW,
author = "D. Kershaw",
title = "Some extensions of {W. Gautschi}'s inequalities for
the gamma function",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "607--611",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A15 (26D20 65D20)",
MRnumber = "84m:33003",
MRreviewer = "P. Anandani",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Okui:1983:SIR,
author = "Shigehiko Okui",
title = "Some integrals relating to the ${I}_{e}$-function",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "613--622",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A40 (94A05)",
MRnumber = "84j:33007",
MRreviewer = "G. Gasper",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Albertsen:1983:NTA,
author = "N. C. Albertsen and G. Jacobsen and S. B.
S{\o}rensen",
title = "Nonlinear transformations for accelerating the
convergence of ${M}$-dimensional series",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "623--634",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65B10",
MRnumber = "86a:65006",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Zajta:1983:SDE,
author = "Aurel J. Zajta",
title = "Solutions of the {Diophantine} equation
${A}^{4}+{B}^{4}={C}^{4}+{D}^{4}$",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "635--659",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11D25",
MRnumber = "85d:11025",
MRreviewer = "H. London",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Keller:1983:FFN,
author = "Wilfrid Keller",
title = "Factors of {Fermat} numbers and large primes of the
form $k\cdot 2^{n}+1$",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "661--673",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11Y05 (11A41 11Y11)",
MRnumber = "85b:11117",
MRreviewer = "Samuel S. Wagstaff, Jr.",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Lagrange:1983:SSW,
author = "Jean Lagrange",
title = "Sets of $n$ squares of which any $n-1$ have their sum
square",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "675--681",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10B05 (10J05)",
MRnumber = "84j:10012",
MRreviewer = "David Lee Hilliker",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Parson:1983:LBN,
author = "L. Alayne Parson",
title = "A Lower Bound for the Norm of the Theta Operator",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "683--685",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "30F35 (11F11)",
MRnumber = "85d:30073",
MRreviewer = "Peter J. Nicholls",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Naur:1983:NIF,
author = "Thorkil Naur",
title = "New Integer Factorizations",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "687--695",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11Y05",
MRnumber = "85c:11123",
MRreviewer = "Samuel S. Wagstaff, Jr.",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Pritchard:1983:EPA,
author = "Paul A. Pritchard",
title = "Eighteen Primes in Arithmetic Progression",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "697--697",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11Y55 (11B25)",
MRnumber = "85c:11125",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Adleman:1983:ITF,
author = "Leonard M. Adleman and Andrew M. Odlyzko",
title = "Irreducibility testing and factorization of
polynomials",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "699--709",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11Y05 (11R09 12-04 68Q40)",
MRnumber = "86f:11097",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Cohn:1983:EFG,
author = "H. Cohn and J. C. Lagarias",
title = "On the Existence of Fields Governing the
$2$-Invariants of the Classgroup of ${Q}(\sqrt{dp})$ as
$p$ Varies",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "711--730",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11R11 (11R29 11R45)",
MRnumber = "85b:11082",
MRreviewer = "Ezra Brown",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Bremner:1983:IP,
author = "Andrew Bremner and Nicholas Tzanakis",
title = "Integer Points on $y^2 = x^3 - 7x + 10$",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "731--741",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11D25 (14K07)",
MRnumber = "85c:11028",
MRreviewer = "Michael Laska",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Lehmer:1983:CSP,
author = "D. H. Lehmer and Emma Lehmer",
title = "Cyclotomy With Short Periods",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "743--758",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10G05 (10A40 12C20)",
MRnumber = "84j:10048",
MRreviewer = "R. J. Evans",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{vandeLune:1983:ZRZ,
author = "J. {van de Lune} and H. J. J. {te Riele}",
title = "On the zeros of the {Riemann} zeta function in the
critical strip. {III}",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "759--767",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11M26 (11-04 11Y35)",
MRnumber = "85e:11062",
MRreviewer = "J{\"u}rgen G. Hinz",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{vanHaeringen:1983:TEF,
author = "H. {van Haeringen} and L. P. Kok",
title = "Table errata: {{\em Formulas and theorems for the
special functions of mathematical physics} [Springer,
New York, 1966 and F. Oberhettinger MR {\bf 38} \#1291]
by W. Magnus and R. P. Soni.}",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "775--778",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33-02",
MRnumber = "84i:33001",
bibdate = "Sat Jan 11 13:29:06 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{vanHaeringen:1983:TETa,
author = "H. {van Haeringen} and L. P. Kok",
title = "Table errata: {{\em Tables of integral transforms,
Vol. I} [McGraw-Hill, New York 1954, F. Oberhettinger
MR {\bf 15}, 868] by A. Erd{\'e}lyi, W. Magnus and F.
G. Tricomi}",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "778--779",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "44-02",
MRnumber = "84m:44001a",
bibdate = "Sat Jan 11 13:29:06 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{vanHaeringen:1983:TETb,
author = "H. {van Haeringen} and L. P. Kok",
title = "Table errata: {{\em Tables of integral transforms,
Vol. II} [McGraw-Hill, New York, 1954, F. Oberhettinger
MR {\bf 16}, 468] by A. Erd{\'e}lyi, W. Magnus and F.
G. Tricomi}",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "779--780",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "44-02",
MRnumber = "84m:44001b",
bibdate = "Sat Jan 11 13:29:06 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{vanHaeringen:1983:TEHd,
author = "H. {van Haeringen} and L. P. Kok",
title = "Table errata: {{\em Handbook of mathematical
functions, with formulas, graphs, and mathematical
tables} [Dover, New York, 1966 and MR {\bf 34}
\#8606].}",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "780--780",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65A05",
MRnumber = "84m:65014",
bibdate = "Wed Jan 15 08:51:56 1997",
acknowledgement = ack-nhfb,
}
@Article{Krupnikov:1983:TET,
author = "Ernst D. Krupnikov",
title = "Table errata: {{\em Table of integrals, series, and
products} [Academic Press, New York, 1980 and MR
81g:33001] by {I. S}. Gradshte{\u{\i}}n and {I. M}.
Ryzhik}",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "780--783",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33-01",
MRnumber = "85a:33001",
bibdate = "Sat Jan 11 13:29:06 MST 1997",
acknowledgement = ack-nhfb,
}
@Article{Longman:1983:TEH,
author = "I. M. Longman",
title = "Table errata: {{\em Handbook of mathematical functions
with formulas, graphs, and mathematical tables} [U.S.
Government Printing Office, Washington, D.C., 1964 and
MR {\bf 29} \#4914].}",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "783--783",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65A05",
MRnumber = "84i:65009",
bibdate = "Wed Jan 15 08:53:18 1997",
acknowledgement = ack-nhfb,
}
@Article{Wahlbin:1984:SCL,
author = "Lars B. Wahlbin",
title = "On the Sharpness of Certain Local Estimates for
$\overset{\circ}{H}^1$ Projections into Finite Element
Spaces: Influence of a Reentrant Corner",
journal = j-MATH-COMPUT,
volume = "42",
number = "165",
pages = "1--8",
month = jan,
year = "1984",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30 (65N15)",
MRnumber = "86b:65129",
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 Maths., Cornell Univ., Ithaca, NY, USA",
keywords = "Dirichlet problem; element solutions; finite element
analysis; finite element spaces; Galerkin finite; H/sup
1/ projections; homogeneous; piecewise polynomial
spaces; plane polygonal domain; Poisson's equation;
polynomials; reentrant corner; sharpness",
treatment = "T Theoretical or Mathematical",
}
@Article{Stenberg:1984:AMF,
author = "Rolf Stenberg",
title = "Analysis of Mixed Finite Element Methods for the
{Stokes} Problem: {A} Unified Approach",
journal = j-MATH-COMPUT,
volume = "42",
number = "165",
pages = "9--23",
month = jan,
year = "1984",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "76-08 (76D07)",
MRnumber = "84