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 74, Number 252
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The approximation of the Maxwell eigenvalue problem using a least-squares method: James H. Bramble, Tzanio V. Kolev and Joseph E. Pasciak;; Math. Comp. 74 (2005), 1575-1598; DOI: https://doi.org/10.1090/S0025-5718-05-01759-X; Published electronically: May 5, 2005; PDF

Reliable a posteriori error control for nonconforming finite element approximation of Stokes flow: W. Dörfler and M. Ainsworth;; Math. Comp. 74 (2005), 1599-1619; DOI: https://doi.org/10.1090/S0025-5718-05-01743-6; Published electronically: January 3, 2005; PDF

Superconvergence of spectral collocation and $p$-version methods in one dimensional problems: Zhimin Zhang;; Math. Comp. 74 (2005), 1621-1636; DOI: https://doi.org/10.1090/S0025-5718-05-01756-4; Published electronically: March 18, 2005; PDF

Stabilized Galerkin approximation of convection-diffusion-reaction equations: discrete maximum principle and convergence: Erik Burman and Alexandre Ern;; Math. Comp. 74 (2005), 1637-1652; DOI: https://doi.org/10.1090/S0025-5718-05-01761-8; Published electronically: June 7, 2005; PDF

Error analysis of variable degree mixed methods for elliptic problems via hybridization: Bernardo Cockburn and Jayadeep Gopalakrishnan;; Math. Comp. 74 (2005), 1653-1677; DOI: https://doi.org/10.1090/S0025-5718-05-01741-2; Published electronically: March 1, 2005; PDF

Error estimates on anisotropic ${\mathcal Q}_1$ elements for functions in weighted Sobolev spaces: Ricardo G. Durán and Ariel L. Lombardi;; Math. Comp. 74 (2005), 1679-1706; DOI: https://doi.org/10.1090/S0025-5718-05-01732-1; Published electronically: March 29, 2005; PDF

Heterogeneous multiscale methods for stiff ordinary differential equations: Bjorn Engquist and Yen-Hsi Tsai;; Math. Comp. 74 (2005), 1707-1742; DOI: https://doi.org/10.1090/S0025-5718-05-01745-X; Published electronically: May 18, 2005; PDF

A parameter robust numerical method for a two dimensional reaction-diffusion problem: C. Clavero, J. L. Gracia and E. O’Riordan;; Math. Comp. 74 (2005), 1743-1758; DOI: https://doi.org/10.1090/S0025-5718-05-01762-X; Published electronically: June 7, 2005; PDF

A class of singularly perturbed semilinear differential equations with interior layers: P. A. Farrell, E. O’Riordan and G. I. Shishkin;; Math. Comp. 74 (2005), 1759-1776; DOI: https://doi.org/10.1090/S0025-5718-05-01764-3; Published electronically: June 7, 2005; PDF

Algorithms for hyperbolic quadratic eigenvalue problems: Chun-Hua Guo and Peter Lancaster;; Math. Comp. 74 (2005), 1777-1791; DOI: https://doi.org/10.1090/S0025-5718-05-01748-5; Published electronically: February 16, 2005; PDF

Computation of the eigenvalues of Sturm-Liouville problems with parameter dependent boundary conditions using the regularized sampling method: Bilal Chanane;; Math. Comp. 74 (2005), 1793-1801; DOI: https://doi.org/10.1090/S0025-5718-05-01717-5; Published electronically: March 18, 2005; PDF

Locally supported rational spline wavelets on a sphere: Daniela Roşca;; Math. Comp. 74 (2005), 1803-1829; DOI: https://doi.org/10.1090/S0025-5718-05-01754-0; Published electronically: March 14, 2005; PDF

Polyharmonic splines on grids $\mathbb {Z}\times a\mathbb {Z}^{n}$ and their limits: O. Kounchev and H. Render;; Math. Comp. 74 (2005), 1831-1841; DOI: https://doi.org/10.1090/S0025-5718-05-01753-9; Published electronically: February 14, 2005; PDF

Strong Stieltjes distributions and orthogonal Laurent polynomials with applications to quadratures and Padé approximation: C. Díaz-Mendoza, P. González-Vera and M. Jiménez-Paiz;; Math. Comp. 74 (2005), 1843-1870; DOI: https://doi.org/10.1090/S0025-5718-05-01763-1; Published electronically: June 7, 2005; PDF

Strong tractability of integration using scrambled Niederreiter points: Rong-Xian Yue and Fred J. Hickernell;; Math. Comp. 74 (2005), 1871-1893; DOI: https://doi.org/10.1090/S0025-5718-05-01755-2; Published electronically: March 3, 2005; PDF

Construction algorithms for polynomial lattice rules for multivariate integration: J. Dick, F. Y. Kuo, F. Pillichshammer and I. H. Sloan;; Math. Comp. 74 (2005), 1895-1921; DOI: https://doi.org/10.1090/S0025-5718-05-01742-4; Published electronically: May 5, 2005; PDF

Even moments of generalized Rudin–Shapiro polynomials: Christophe Doche;; Math. Comp. 74 (2005), 1923-1935; DOI: https://doi.org/10.1090/S0025-5718-05-01736-9; Published electronically: March 15, 2005; PDF

Polynomial series expansions for confluent and Gaussian hypergeometric functions: W. Luh, J. Müller, S. Ponnusamy and P. Vasundhra;; Math. Comp. 74 (2005), 1937-1952; DOI: https://doi.org/10.1090/S0025-5718-05-01734-5; Published electronically: March 15, 2005; PDF

Extended admissible functions and Gaussian limiting distributions: Michael Drmota, Bernhard Gittenberger and Thomas Klausner;; Math. Comp. 74 (2005), 1953-1966; DOI: https://doi.org/10.1090/S0025-5718-05-01744-8; Published electronically: March 14, 2005; PDF

Deformations of Maass forms: D. W. Farmer and S. Lemurell;; Math. Comp. 74 (2005), 1967-1982; DOI: https://doi.org/10.1090/S0025-5718-05-01746-1; Published electronically: April 15, 2005; PDF

Point counting on Picard curves in large characteristic: Mark Bauer, Edlyn Teske and Annegret Weng;; Math. Comp. 74 (2005), 1983-2005; DOI: https://doi.org/10.1090/S0025-5718-05-01758-8; Published electronically: March 31, 2005; PDF

Algebraic integers whose conjugates all lie in an ellipse: Valérie Flammang and Georges Rhin;; Math. Comp. 74 (2005), 2007-2015; DOI: https://doi.org/10.1090/S0025-5718-05-01735-7; Published electronically: March 8, 2005; PDF

Computing the structure of a finite abelian group: Johannes Buchmann and Arthur Schmidt;; Math. Comp. 74 (2005), 2017-2026; DOI: https://doi.org/10.1090/S0025-5718-05-01740-0; Published electronically: March 8, 2005; PDF

Involutions and characters of upper triangular matrix groups: I. M. Isaacs and Dikran B. Karagueuzian;; Math. Comp. 74 (2005), 2027-2033; DOI: https://doi.org/10.1090/S0025-5718-05-01705-9; Published electronically: March 24, 2005; PDF

On the greatest prime factor of $p-1$ with effective constants: G. Harman;; Math. Comp. 74 (2005), 2035-2041; DOI: https://doi.org/10.1090/S0025-5718-05-01749-7; Published electronically: February 16, 2005; PDF

Sharpening “Primes is in P” for a large family of numbers: Pedro Berrizbeitia;; Math. Comp. 74 (2005), 2043-2059; DOI: https://doi.org/10.1090/S0025-5718-05-01727-8; Published electronically: April 11, 2005; PDF

Prime powers in elliptic divisibility sequences: Graham Everest and Helen King;; Math. Comp. 74 (2005), 2061-2071; DOI: https://doi.org/10.1090/S0025-5718-05-01737-0; Published electronically: March 1, 2005; PDF

A hidden number problem in small subgroups: Igor Shparlinski and Arne Winterhof;; Math. Comp. 74 (2005), 2073-2080; DOI: https://doi.org/10.1090/S0025-5718-05-01797-7; Published electronically: April 5, 2005; PDF

An algorithm of infinite sums representations and Tasoev continued fractions: Takao Komatsu;; Math. Comp. 74 (2005), 2081-2094; DOI: https://doi.org/10.1090/S0025-5718-05-01752-7; Published electronically: February 14, 2005; PDF

Table errata to “Factors of generalized Fermat numbers”: Anders Björn and Hans Riesel;; Math. Comp. 74 (2005), 2099-2099; DOI: https://doi.org/10.1090/S0025-5718-05-01816-8; Published electronically: June 14, 2005; PDF

Corrigendum to “An infinite family of bounds on zeros of analytic functions and relationship to Smale’s bound”: Bahman Kalantari;; Math. Comp. 74 (2005), 2101-2101; DOI: https://doi.org/10.1090/S0025-5718-05-01817-X; Published electronically: June 14, 2005; PDF

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

Numerical analysis for fluids, Part 3. Finite element methods for incompressible viscous flow, by Roland Glowinski, edited by P. G. Ciarlet and J. L. Lions.: Reviewer: Vivette Girault; Review information PDF; Math. Comp. 74 (2005), 2095-2097