Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2024 MCQ for Mathematics of Computation is 1.78.

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Contents of Volume 70, Number 235
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Asymptotically exact a posteriori estimators for the pointwise gradient error on each element in irregular meshes. Part 1: A smooth problem and globally quasi-uniform meshes
W. Hoffmann, A. H. Schatz, L. B. Wahlbin and G. Wittum;
Math. Comp. 70 (2001), 897-909
DOI: https://doi.org/10.1090/S0025-5718-01-01286-8
Published electronically: March 7, 2001
Error estimates for the three-field formulation with bubble stabilization
Franco Brezzi and Donatella Marini;
Math. Comp. 70 (2001), 911-934
DOI: https://doi.org/10.1090/S0025-5718-00-01250-3
Published electronically: March 24, 2000
An iterative substructuring method for Maxwell’s equations in two dimensions
Andrea Toselli, Olof B. Widlund and Barbara I. Wohlmuth;
Math. Comp. 70 (2001), 935-949
DOI: https://doi.org/10.1090/S0025-5718-00-01244-8
Published electronically: March 1, 2000
A new stabilizing technique for boundary integral methods for water waves
Thomas Y. Hou and Pingwen Zhang;
Math. Comp. 70 (2001), 951-976
DOI: https://doi.org/10.1090/S0025-5718-00-01287-4
Published electronically: October 18, 2000
A convergent boundary integral method for three-dimensional water waves
J. Thomas Beale;
Math. Comp. 70 (2001), 977-1029
DOI: https://doi.org/10.1090/S0025-5718-00-01218-7
Published electronically: February 17, 2000
Boundary element methods for potential problems with nonlinear boundary conditions
M. Ganesh and O. Steinbach;
Math. Comp. 70 (2001), 1031-1042
DOI: https://doi.org/10.1090/S0025-5718-00-01266-7
Published electronically: June 12, 2000
Existence of discrete shock profiles of a class of monotonicity preserving schemes for conservation laws
Haitao Fan;
Math. Comp. 70 (2001), 1043-1069
DOI: https://doi.org/10.1090/S0025-5718-00-01254-0
Published electronically: May 23, 2000
Numerical testing of the stability of viscous shock waves
Leon Q. Brin;
Math. Comp. 70 (2001), 1071-1088
DOI: https://doi.org/10.1090/S0025-5718-00-01237-0
Published electronically: November 27, 2000
Hermite interpolation by Pythagorean hodograph curves of degree seven
B. Jüttler;
Math. Comp. 70 (2001), 1089-1111
DOI: https://doi.org/10.1090/S0025-5718-00-01288-6
Published electronically: October 16, 2000
Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature
H. N. Mhaskar, F. J. Narcowich and J. D. Ward;
Math. Comp. 70 (2001), 1113-1130
DOI: https://doi.org/10.1090/S0025-5718-00-01240-0
Published electronically: March 1, 2000
On stable numerical differentiation
Alexander G. Ramm and Alexandra B. Smirnova;
Math. Comp. 70 (2001), 1131-1153
DOI: https://doi.org/10.1090/S0025-5718-01-01307-2
Published electronically: March 9, 2001
A three-parameter family of nonlinear conjugate gradient methods
Y. H. Dai and Y. Yuan;
Math. Comp. 70 (2001), 1155-1167
DOI: https://doi.org/10.1090/S0025-5718-00-01253-9
Published electronically: March 28, 2000
Inversion of circulant matrices over $\mathbf {Z}_m$
Dario Bini, Gianna M. Del Corso, Giovanni Manzini and Luciano Margara;
Math. Comp. 70 (2001), 1169-1182
DOI: https://doi.org/10.1090/S0025-5718-00-01235-7
Published electronically: March 24, 2000
On nonoscillating integrals for computing inhomogeneous Airy functions
Amparo Gil, Javier Segura and Nico M. Temme;
Math. Comp. 70 (2001), 1183-1194
DOI: https://doi.org/10.1090/S0025-5718-00-01268-0
Published electronically: April 13, 2000
Error analysis for the computation of zeros of regular Coulomb wave function and its first derivative
Yoshinori Miyazaki, Yasushi Kikuchi, DongSheng Cai and Yasuhiko Ikebe;
Math. Comp. 70 (2001), 1195-1204
DOI: https://doi.org/10.1090/S0025-5718-00-01241-2
Published electronically: March 24, 2000
Bounds on differences of adjacent zeros of Bessel functions and iterative relations between consecutive zeros
Javier Segura;
Math. Comp. 70 (2001), 1205-1220
DOI: https://doi.org/10.1090/S0025-5718-00-01243-6
Published electronically: June 12, 2000
Power series expansions for Mathieu functions with small arguments
G. C. Kokkorakis and J. A. Roumeliotis;
Math. Comp. 70 (2001), 1221-1235
DOI: https://doi.org/10.1090/S0025-5718-00-01227-8
Published electronically: February 23, 2000
Using the theory of cyclotomy to factor cyclotomic polynomials over finite fields
Greg Stein;
Math. Comp. 70 (2001), 1237-1251
DOI: https://doi.org/10.1090/S0025-5718-00-01233-3
Published electronically: March 24, 2000
The index calculus method using non-smooth polynomials
Theodoulos Garefalakis and Daniel Panario;
Math. Comp. 70 (2001), 1253-1264
DOI: https://doi.org/10.1090/S0025-5718-01-01298-4
Published electronically: March 7, 2001
Geometry of the Jantzen region in Lusztig’s conjecture
Brian D. Boe;
Math. Comp. 70 (2001), 1265-1280
DOI: https://doi.org/10.1090/S0025-5718-00-01220-5
Published electronically: March 14, 2000
Continued fractions in local fields, II
Jerzy Browkin;
Math. Comp. 70 (2001), 1281-1292
DOI: https://doi.org/10.1090/S0025-5718-00-01296-5
Published electronically: October 18, 2000
Computing class fields via the Artin map
Claus Fieker;
Math. Comp. 70 (2001), 1293-1303
DOI: https://doi.org/10.1090/S0025-5718-00-01255-2
Published electronically: March 24, 2000
On iterates of Möbius transformations on fields
Sam Northshield;
Math. Comp. 70 (2001), 1305-1310
DOI: https://doi.org/10.1090/S0025-5718-00-01242-4
Published electronically: March 6, 2000
Computer verification of the Ankeny–Artin–Chowla Conjecture for all primes less than $100000000000$
A. J. van der Poorten, H. J. J. te Riele and H. C. Williams;
Math. Comp. 70 (2001), 1311-1328
DOI: https://doi.org/10.1090/S0025-5718-00-01234-5
Published electronically: March 15, 2000
Breeding amicable numbers in abundance. II
Stefan Battiato and Walter Borho;
Math. Comp. 70 (2001), 1329-1333
DOI: https://doi.org/10.1090/S0025-5718-00-01279-5
Published electronically: October 17, 2000

Book Reviews
Book reviews do not contain an abstract. You may download each review in this issue using the links below.

$p$- and $hp$-finite element methods. Theory and applications in solid and fluid mechanics, by Ch. Schwab.
Spectral methods in Matlab, by Lloyd N. Trefethen.
Generalized difference methods for differential equations. Numerical analysis of finite volume methods, by Ronghua Li, Zhongying Chen and Wei Wu.
Computer methods for ordinary differential equations and differential-algebraic equations, by Uri M. Ascher and Linda R. Petzold.
Geometric integration: numerical solution of differential equations, edited by C. J. Budd and A. Iserles.
Dynamical systems and numerical analysis, by A. M. Stuart and A. R. Humphries.
Computer solution of large linear systems, by Gerard Meurant.
Character sums with exponential functions and their applications, by Sergei Konyagin and Igor Shparlinski.
The algorithmic resolution of Diophantine equations, by Nigel P. Smart.
Reviewer: Mark Ainsworth
Reviewer: Chi-Wang Shu
Reviewer: Raytcho Lazarov
Reviewer: Rozwitha März
Reviewer: Ernst Hairer
Reviewer: Rozwitha März
Reviewer: Brian Suchomel
Reviewer: Harald Niederreiter
Reviewer: P. G. Walsh
Review information PDF
Math. Comp. 70 (2001), 1335-1352