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 76, Number 259
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Fully discrete dynamic mesh discontinuous Galerkin methods for the Cahn-Hilliard equation of phase transition: Xiaobing Feng and Ohannes A. Karakashian;; Math. Comp. 76 (2007), 1093-1117; DOI: https://doi.org/10.1090/S0025-5718-07-01985-0; Published electronically: March 9, 2007; PDF

Continuous interior penalty $hp$-finite element methods for advection and advection-diffusion equations: Erik Burman and Alexandre Ern;; Math. Comp. 76 (2007), 1119-1140; DOI: https://doi.org/10.1090/S0025-5718-07-01951-5; Published electronically: January 24, 2007; PDF

Robust norm equivalencies for diffusion problems: Michael Griebel, Karl Scherer and Marc Alexander Schweitzer;; Math. Comp. 76 (2007), 1141-1161; DOI: https://doi.org/10.1090/S0025-5718-07-01973-4; Published electronically: February 7, 2007; PDF

Nonlinear projection methods for multi-entropies Navier–Stokes systems: Christophe Berthon and Frédéric Coquel;; Math. Comp. 76 (2007), 1163-1194; DOI: https://doi.org/10.1090/S0025-5718-07-01948-5; Published electronically: February 7, 2007; PDF

Stabilized finite element method for Navier–Stokes equations with physical boundary conditions: M. Amara, D. Capatina-Papaghiuc and D. Trujillo;; Math. Comp. 76 (2007), 1195-1217; DOI: https://doi.org/10.1090/S0025-5718-07-01929-1; Published electronically: March 15, 2007; PDF

Convergence of Godunov type methods for a conservation law with a spatially varying discontinuous flux function: Adimurthi, Siddhartha Mishra and G. D. Veerappa Gowda;; Math. Comp. 76 (2007), 1219-1242; DOI: https://doi.org/10.1090/S0025-5718-07-01960-6; Published electronically: January 25, 2007; PDF

Adaptive methods for boundary integral equations: Complexity and convergence estimates: Wolfgang Dahmen, Helmut Harbrecht and Reinhold Schneider;; Math. Comp. 76 (2007), 1243-1274; DOI: https://doi.org/10.1090/S0025-5718-07-01970-9; Published electronically: February 21, 2007; PDF

Fourier–Padé approximations and filtering for spectral simulations of an incompressible Boussinesq convection problem: M. S. Min, S. M. Kaber and W. S. Don;; Math. Comp. 76 (2007), 1275-1290; DOI: https://doi.org/10.1090/S0025-5718-07-01831-5; Published electronically: February 16, 2007; PDF

Structured data-sparse approximation to high order tensors arising from the deterministic Boltzmann equation: Boris N. Khoromskij;; Math. Comp. 76 (2007), 1291-1315; DOI: https://doi.org/10.1090/S0025-5718-07-01901-1; Published electronically: February 16, 2007; PDF

Approximation methods for the Muskhelishvili equation on smooth curves: V. Didenko and E. Venturino;; Math. Comp. 76 (2007), 1317-1339; DOI: https://doi.org/10.1090/S0025-5718-07-01971-0; Published electronically: February 23, 2007; PDF

Parabolic and hyperbolic contours for computing the Bromwich integral: J. A. C. Weideman and L. N. Trefethen;; Math. Comp. 76 (2007), 1341-1356; DOI: https://doi.org/10.1090/S0025-5718-07-01945-X; Published electronically: March 7, 2007; PDF

Cubature formulas for symmetric measures in higher dimensions with few points: Aicke Hinrichs and Erich Novak;; Math. Comp. 76 (2007), 1357-1372; DOI: https://doi.org/10.1090/S0025-5718-07-01974-6; Published electronically: February 16, 2007; PDF

$C^2$ Hermite interpolation by Pythagorean Hodograph space curves: Zbyněk Šír and Bert Jüttler;; Math. Comp. 76 (2007), 1373-1391; DOI: https://doi.org/10.1090/S0025-5718-07-01925-4; Published electronically: February 1, 2007; PDF

On the probability distribution of condition numbers of complete intersection varieties and the average radius of convergence of Newton’s method in the underdetermined case: C. Beltrán and L. M. Pardo;; Math. Comp. 76 (2007), 1393-1424; DOI: https://doi.org/10.1090/S0025-5718-07-01963-1; Published electronically: February 5, 2007; PDF

Identification of small inhomogeneities: Asymptotic factorization: Habib Ammari, Roland Griesmaier and Martin Hanke;; Math. Comp. 76 (2007), 1425-1448; DOI: https://doi.org/10.1090/S0025-5718-07-01946-1; Published electronically: February 19, 2007; PDF

Numerically satisfactory solutions of hypergeometric recursions: Amparo Gil, Javier Segura and Nico M. Temme;; Math. Comp. 76 (2007), 1449-1468; DOI: https://doi.org/10.1090/S0025-5718-07-01918-7; Published electronically: January 31, 2007; PDF

Error bounds on complex floating-point multiplication: Richard Brent, Colin Percival and Paul Zimmermann;; Math. Comp. 76 (2007), 1469-1481; DOI: https://doi.org/10.1090/S0025-5718-07-01931-X; Published electronically: January 24, 2007; PDF

On generalized averaged Gaussian formulas: Miodrag M. Spalević;; Math. Comp. 76 (2007), 1483-1492; DOI: https://doi.org/10.1090/S0025-5718-07-01975-8; Published electronically: March 8, 2007; PDF

K3 surfaces with Picard number three and canonical vector heights: Arthur Baragar and Ronald van Luijk;; Math. Comp. 76 (2007), 1493-1498; DOI: https://doi.org/10.1090/S0025-5718-07-01962-X; Published electronically: January 24, 2007; PDF

Computation of capacity: Thomas Ransford and Jérémie Rostand;; Math. Comp. 76 (2007), 1499-1520; DOI: https://doi.org/10.1090/S0025-5718-07-01941-2; Published electronically: January 24, 2007; PDF

Computing boundary slopes of 2-bridge links: Jim Hoste and Patrick D. Shanahan;; Math. Comp. 76 (2007), 1521-1545; DOI: https://doi.org/10.1090/S0025-5718-07-01936-9; Published electronically: March 12, 2007; PDF

Euclidean minima of totally real number fields: Algorithmic determination: Jean-Paul Cerri;; Math. Comp. 76 (2007), 1547-1575; DOI: https://doi.org/10.1090/S0025-5718-07-01932-1; Published electronically: February 27, 2007; PDF

On the largest prime divisor of an odd harmonic number: Yusuke Chishiki, Takeshi Goto and Yasuo Ohno;; Math. Comp. 76 (2007), 1577-1587; DOI: https://doi.org/10.1090/S0025-5718-07-01933-3; Published electronically: January 30, 2007; PDF

Quadratic forms that represent almost the same primes: John Voight;; Math. Comp. 76 (2007), 1589-1617; DOI: https://doi.org/10.1090/S0025-5718-07-01976-X; Published electronically: February 19, 2007; PDF

Computing the integer partition function: Neil Calkin, Jimena Davis, Kevin James, Elizabeth Perez and Charles Swannack;; Math. Comp. 76 (2007), 1619-1638; DOI: https://doi.org/10.1090/S0025-5718-07-01966-7; Published electronically: February 28, 2007; PDF

On univoque Pisot numbers: Jean-Paul Allouche, Christiane Frougny and Kevin G. Hare;; Math. Comp. 76 (2007), 1639-1660; DOI: https://doi.org/10.1090/S0025-5718-07-01961-8; Published electronically: January 10, 2007; PDF

Constructing representations of higher degrees of finite simple groups and covers: Vahid Dabbaghian-Abdoly;; Math. Comp. 76 (2007), 1661-1668; DOI: https://doi.org/10.1090/S0025-5718-07-01969-2; Published electronically: January 25, 2007; PDF

Testing polycyclicity of finitely generated rational matrix groups: Björn Assmann and Bettina Eick;; Math. Comp. 76 (2007), 1669-1682; DOI: https://doi.org/10.1090/S0025-5718-07-01979-5; Published electronically: March 9, 2007; PDF

New integer representations as the sum of three cubes: Michael Beck, Eric Pine, Wayne Tarrant and Kim Yarbrough Jensen;; Math. Comp. 76 (2007), 1683-1690; DOI: https://doi.org/10.1090/S0025-5718-07-01947-3; Published electronically: March 14, 2007; PDF

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

The immersed interface method Numerical solutions of PDEs involving interfaces and irregular domains, by Zhilin Li and Kazufumi Ito.: Reviewer: Ron Fedkiw; Review information PDF; Math. Comp. 76 (2007), 1691-1691

Partial differential equations and the finite element method, by Pavel Solin.: Reviewer: Lung-an Ying; Review information PDF; Math. Comp. 76 (2007), 1693-1694

Variational analysis in Sobolev and BV spaces, by Hedy Attouch, Giuseppe Buttazzo and Gérard Michaille.: Reviewer: Ivan P. Gavrilyuk; Review information PDF; Math. Comp. 76 (2007), 1695-1696

A computational introduction to number theory and algebra, by Victor Shoup.: Reviewer: Igor Shparlinski; Review information PDF; Math. Comp. 76 (2007), 1697-1698