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. What is MCQ?

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Contents of Volume 72, Number 243
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A conforming finite element method for overlapping and nonmatching grids: Yunqing Huang and Jinchao Xu;; Math. Comp. 72 (2003), 1057-1066; DOI: https://doi.org/10.1090/S0025-5718-02-01459-X; Published electronically: November 18, 2002; PDF

Local problems on stars: A posteriori error estimators, convergence, and performance: Pedro Morin, Ricardo H. Nochetto and Kunibert G. Siebert;; Math. Comp. 72 (2003), 1067-1097; DOI: https://doi.org/10.1090/S0025-5718-02-01463-1; Published electronically: November 7, 2002; HTML | PDF

Finite element approximation of spectral problems with Neumann boundary conditions on curved domains: Erwin Hernández and Rodolfo Rodríguez;; Math. Comp. 72 (2003), 1099-1115; DOI: https://doi.org/10.1090/S0025-5718-02-01467-9; Published electronically: December 3, 2002; PDF

Hybrid finite element methods for the Signorini problem: F. Ben Belgacem and Y. Renard;; Math. Comp. 72 (2003), 1117-1145; DOI: https://doi.org/10.1090/S0025-5718-03-01490-X; Published electronically: February 7, 2003; PDF

Finite element superconvergence on Shishkin mesh for 2-D convection-diffusion problems: Zhimin Zhang;; Math. Comp. 72 (2003), 1147-1177; DOI: https://doi.org/10.1090/S0025-5718-03-01486-8; Published electronically: February 3, 2003; PDF

The $hp$-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations: Ilaria Perugia and Dominik Schötzau;; Math. Comp. 72 (2003), 1179-1214; DOI: https://doi.org/10.1090/S0025-5718-02-01471-0; Published electronically: October 18, 2002; PDF

An overlapping domain decomposition preconditioner for a class of discontinuous Galerkin approximations of advection-diffusion problems: Caroline Lasser and Andrea Toselli;; Math. Comp. 72 (2003), 1215-1238; DOI: https://doi.org/10.1090/S0025-5718-03-01484-4; Published electronically: January 8, 2003; PDF

On the convergence of high resolution methods with multiple time scales for hyperbolic conservation laws: Robert Kirby;; Math. Comp. 72 (2003), 1239-1250; DOI: https://doi.org/10.1090/S0025-5718-02-01469-2; Published electronically: October 29, 2002; PDF

On the convergence of entropy consistent schemes for lubrication type equations in multiple space dimensions: Günther Grün;; Math. Comp. 72 (2003), 1251-1279; DOI: https://doi.org/10.1090/S0025-5718-03-01492-3; Published electronically: January 8, 2003; PDF

Analysis of multilevel methods for eddy current problems: R. Hiptmair;; Math. Comp. 72 (2003), 1281-1303; DOI: https://doi.org/10.1090/S0025-5718-02-01468-0; Published electronically: October 18, 2002; PDF

How to prove that a preconditioner cannot be superlinear: S. Serra Capizzano and E. Tyrtyshnikov;; Math. Comp. 72 (2003), 1305-1316; DOI: https://doi.org/10.1090/S0025-5718-03-01506-0; Published electronically: February 3, 2003; PDF

A family of hybrid conjugate gradient methods for unconstrained optimization: Yu-Hong Dai;; Math. Comp. 72 (2003), 1317-1328; DOI: https://doi.org/10.1090/S0025-5718-03-01491-1; Published electronically: February 3, 2003; PDF

The spectra of large Toeplitz band matrices with a randomly perturbed entry: A. Böttcher, M. Embree and V. I. Sokolov;; Math. Comp. 72 (2003), 1329-1348; DOI: https://doi.org/10.1090/S0025-5718-03-01505-9; Published electronically: February 3, 2003; PDF

$L_p$-error estimates for “shifted” surface spline interpolation on Sobolev space: Jungho Yoon;; Math. Comp. 72 (2003), 1349-1367; DOI: https://doi.org/10.1090/S0025-5718-02-01498-9; Published electronically: December 18, 2002; PDF

Piecewise quadratic trigonometric polynomial curves: Xuli Han;; Math. Comp. 72 (2003), 1369-1377; DOI: https://doi.org/10.1090/S0025-5718-03-01530-8; Published electronically: March 26, 2003; PDF

Newton-Cotes integration for approximating Stieltjes (generalized Euler) constants: Rick Kreminski;; Math. Comp. 72 (2003), 1379-1397; DOI: https://doi.org/10.1090/S0025-5718-02-01483-7; Published electronically: December 18, 2002; PDF

The approximate inverse in action II: convergence and stability: Andreas Rieder and Thomas Schuster;; Math. Comp. 72 (2003), 1399-1415; DOI: https://doi.org/10.1090/S0025-5718-03-01526-6; Published electronically: March 26, 2003; PDF

Efficient solution of rational conics: J. E. Cremona and D. Rusin;; Math. Comp. 72 (2003), 1417-1441; DOI: https://doi.org/10.1090/S0025-5718-02-01480-1; Published electronically: December 18, 2002; PDF

A fast algorithm for testing reducibility of trinomials mod 2 and some new primitive trinomials of degree 3021377: Richard P. Brent, Samuli Larvala and Paul Zimmermann;; Math. Comp. 72 (2003), 1443-1452; DOI: https://doi.org/10.1090/S0025-5718-02-01478-3; Published electronically: December 18, 2002; PDF

Short universal generators via generalized ratio-of-uniforms method: Josef Leydold;; Math. Comp. 72 (2003), 1453-1471; DOI: https://doi.org/10.1090/S0025-5718-03-01511-4; Published electronically: March 26, 2003; PDF

Hidden number problem with hidden multipliers, timed-release crypto, and noisy exponentiation: Nick A. Howgrave-Graham, Phong Q. Nguyen and Igor E. Shparlinski;; Math. Comp. 72 (2003), 1473-1485; DOI: https://doi.org/10.1090/S0025-5718-03-01495-9; Published electronically: February 3, 2003; PDF

Sums of heights of algebraic numbers: Gregory P. Dresden;; Math. Comp. 72 (2003), 1487-1499; DOI: https://doi.org/10.1090/S0025-5718-02-01481-3; Published electronically: December 6, 2002; PDF

The tame kernel of imaginary quadratic fields with class number 2 or 3: Hong You and Sheng Chen;; Math. Comp. 72 (2003), 1501-1509; DOI: https://doi.org/10.1090/S0025-5718-02-01453-9; Published electronically: June 6, 2002; PDF

On the orbit-stabilizer problem for integral matrix actions of polycyclic groups: Bettina Eick and Gretchen Ostheimer;; Math. Comp. 72 (2003), 1511-1529; DOI: https://doi.org/10.1090/S0025-5718-03-01493-5; Published electronically: February 3, 2003; PDF

Computing the multiplicative group of residue class rings: Florian Heß, Sebastian Pauli and Michael E. Pohst;; Math. Comp. 72 (2003), 1531-1548; DOI: https://doi.org/10.1090/S0025-5718-03-01474-1; Published electronically: January 13, 2003; PDF

Odd perfect numbers have a prime factor exceeding $10^{7}$: Paul M. Jenkins;; Math. Comp. 72 (2003), 1549-1554; DOI: https://doi.org/10.1090/S0025-5718-03-01496-0; Published electronically: January 8, 2003; PDF

The twenty-fourth Fermat number is composite: Richard E. Crandall, Ernst W. Mayer and Jason S. Papadopoulos;; Math. Comp. 72 (2003), 1555-1572; DOI: https://doi.org/10.1090/S0025-5718-02-01479-5; Published electronically: December 6, 2002; PDF

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

Finite Markov chains and algorithmic applications, by O. Häggström.
Computational methods for inverse problems, by Curtis R. Vogel.
The finite element method for elliptic problems, by P. G. Ciarlet.: Reviewer: Denis Talay
Reviewer: Martin Burger
Reviewer: Lars B. Wahlbin; Review information PDF; Math. Comp. 72 (2003), 1573-1576