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 80, Number 273
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Local energy estimates for the finite element method on sharply varying grids: Alan Demlow, Johnny Guzmán and Alfred H. Schatz;; Math. Comp. 80 (2011), 1-9; DOI: https://doi.org/10.1090/S0025-5718-2010-02353-1; Published electronically: June 28, 2010; PDF

A two-level enriched finite element method for a mixed problem: Alejandro Allendes, Gabriel R. Barrenechea, Erwin Hernández and Frédéric Valentin;; Math. Comp. 80 (2011), 11-41; DOI: https://doi.org/10.1090/S0025-5718-2010-02364-6; Published electronically: July 26, 2010; PDF

Nonsymmetric coupling of BEM and mixed FEM on polyhedral interfaces: Salim Meddahi, Francisco-Javier Sayas and Virginia Selgás;; Math. Comp. 80 (2011), 43-68; DOI: https://doi.org/10.1090/S0025-5718-2010-02401-9; Published electronically: August 17, 2010; PDF

Efficient and reliable hierarchical error estimates for the discretization error of elliptic obstacle problems: Ralf Kornhuber and Qingsong Zou;; Math. Comp. 80 (2011), 69-88; DOI: https://doi.org/10.1090/S0025-5718-2010-02394-4; Published electronically: June 23, 2010; PDF

Weak approximation of stochastic partial differential equations: the nonlinear case: Arnaud Debussche;; Math. Comp. 80 (2011), 89-117; DOI: https://doi.org/10.1090/S0025-5718-2010-02395-6; Published electronically: August 16, 2010; PDF

On the Poincaré-Friedrichs inequality for piecewise $H^1$ functions in anisotropic discontinuous Galerkin finite element methods: Huo-Yuan Duan and Roger C. E. Tan;; Math. Comp. 80 (2011), 119-140; DOI: https://doi.org/10.1090/S0025-5718-2010-02296-3; Published electronically: July 8, 2010; PDF

Error estimates for Raviart-Thomas interpolation of any order on anisotropic tetrahedra: Gabriel Acosta, Thomas Apel, Ricardo G. Durán and Ariel L. Lombardi;; Math. Comp. 80 (2011), 141-163; DOI: https://doi.org/10.1090/S0025-5718-2010-02406-8; Published electronically: July 29, 2010; PDF

Semigroup stability of finite difference schemes for multidimensional hyperbolic initial-boundary value problems: Jean-François Coulombel and Antoine Gloria;; Math. Comp. 80 (2011), 165-203; DOI: https://doi.org/10.1090/S0025-5718-10-02368-9; Published electronically: April 23, 2010; PDF

Spectral approximation of pattern-forming nonlinear evolution equations with double-well potentials of quadratic growth: Nicolas Condette, Christof Melcher and Endre Süli;; Math. Comp. 80 (2011), 205-223; DOI: https://doi.org/10.1090/S0025-5718-10-02365-3; Published electronically: May 5, 2010; PDF

Convergence acceleration of modified Fourier series in one or more dimensions: Ben Adcock;; Math. Comp. 80 (2011), 225-261; DOI: https://doi.org/10.1090/S0025-5718-2010-02393-2; Published electronically: August 13, 2010; PDF

A high-order, analytically divergence-free discretization method for Darcy’s problem: Daniela Schräder and Holger Wendland;; Math. Comp. 80 (2011), 263-277; DOI: https://doi.org/10.1090/S0025-5718-2010-02388-9; Published electronically: June 7, 2010; PDF

Asymptotic expansion and quadrature of composite highly oscillatory integrals: Arieh Iserles and David Levin;; Math. Comp. 80 (2011), 279-296; DOI: https://doi.org/10.1090/S0025-5718-2010-02386-5; Published electronically: June 7, 2010; PDF

How to integrate a polynomial over a simplex: Velleda Baldoni, Nicole Berline, Jesus A. De Loera, Matthias Köppe and Michèle Vergne;; Math. Comp. 80 (2011), 297-325; DOI: https://doi.org/10.1090/S0025-5718-2010-02378-6; Published electronically: July 14, 2010; PDF

A semilocal convergence analysis for directional Newton methods: Ioannis K. Argyros;; Math. Comp. 80 (2011), 327-343; DOI: https://doi.org/10.1090/S0025-5718-2010-02398-1; Published electronically: July 8, 2010; PDF

Regeneration homotopies for solving systems of polynomials: Jonathan D. Hauenstein, Andrew J. Sommese and Charles W. Wampler;; Math. Comp. 80 (2011), 345-377; DOI: https://doi.org/10.1090/S0025-5718-2010-02399-3; Published electronically: June 9, 2010; PDF

An effective asymptotic formula for the Stieltjes constants: Charles Knessl and Mark W. Coffey;; Math. Comp. 80 (2011), 379-386; DOI: https://doi.org/10.1090/S0025-5718-2010-02390-7; Published electronically: June 9, 2010; PDF

Faster algorithms for the square root and reciprocal of power series: David Harvey;; Math. Comp. 80 (2011), 387-394; DOI: https://doi.org/10.1090/S0025-5718-2010-02392-0; Published electronically: July 8, 2010; PDF

Fast lattice reduction for $\mathbf {F}_2$-linear pseudorandom number generators: Shin Harase, Makoto Matsumoto and Mutsuo Saito;; Math. Comp. 80 (2011), 395-407; DOI: https://doi.org/10.1090/S0025-5718-2010-02391-9; Published electronically: June 18, 2010; PDF

Values of symmetric cube $L$-functions and Fourier coefficients of Siegel Eisenstein series of degree-3: Dominic Lanphier;; Math. Comp. 80 (2011), 409-428; DOI: https://doi.org/10.1090/S0025-5718-10-02350-1; Published electronically: April 15, 2010; PDF

On the largest prime factor of $x^2-1$: Florian Luca and Filip Najman;; Math. Comp. 80 (2011), 429-435; DOI: https://doi.org/10.1090/S0025-5718-2010-02381-6; Published electronically: July 20, 2010; PDF

Counting Carmichael numbers with small seeds: Zhenxiang Zhang;; Math. Comp. 80 (2011), 437-442; DOI: https://doi.org/10.1090/S0025-5718-2010-02382-8; Published electronically: July 19, 2010; PDF

On the discrete logarithm problem in class groups of curves: Claus Diem;; Math. Comp. 80 (2011), 443-475; DOI: https://doi.org/10.1090/S0025-5718-2010-02281-1; Published electronically: August 23, 2010; PDF

Structure computation and discrete logarithms in finite abelian $p$-groups: Andrew V. Sutherland;; Math. Comp. 80 (2011), 477-500; DOI: https://doi.org/10.1090/S0025-5718-10-02356-2; Published electronically: April 16, 2010; PDF

Computing Hilbert class polynomials with the Chinese remainder theorem: Andrew V. Sutherland;; Math. Comp. 80 (2011), 501-538; DOI: https://doi.org/10.1090/S0025-5718-2010-02373-7; Published electronically: May 17, 2010; PDF

Lower bounds for the Artin conductor: Amalia Pizarro-Madariaga;; Math. Comp. 80 (2011), 539-561; DOI: https://doi.org/10.1090/S0025-5718-2010-02403-2; Published electronically: August 19, 2010; PDF

Fundamentality of a cubic unit $u$ for $\mathbb {Z}[u]$: J. Beers, D. Henshaw, C. K. McCall, S. B. Mulay and M. Spindler;; Math. Comp. 80 (2011), 563-578; DOI: https://doi.org/10.1090/S0025-5718-2010-02383-X; Published electronically: July 29, 2010; PDF

Families of elliptic curves over cubic number fields with prescribed torsion subgroups: Daeyeol Jeon, Chang Heon Kim and Yoonjin Lee;; Math. Comp. 80 (2011), 579-591; DOI: https://doi.org/10.1090/S0025-5718-10-02369-0; Published electronically: May 12, 2010; PDF

Torsion units in integral group rings of Janko simple groups: V. A. Bovdi, E. Jespers and A. B. Konovalov;; Math. Comp. 80 (2011), 593-615; DOI: https://doi.org/10.1090/S0025-5718-2010-02376-2; Published electronically: June 9, 2010; PDF

Enumeration of $4 \times 4$ magic squares: Matthias Beck and Andrew van Herick;; Math. Comp. 80 (2011), 617-621; DOI: https://doi.org/10.1090/S0025-5718-10-02347-1; Published electronically: March 29, 2010; PDF

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

A higher-dimensional sieve method with procedures for computing sieve functions, by Harold G. Diamond, H. Halberstam and William F. Galway.: Reviewer: Sid Graham; Review information PDF; Math. Comp. 80 (2011), 623-624