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 78, Number 267
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A posteriori error estimator and error control for contact problems: Alexander Weiss and Barbara I. Wohlmuth;; Math. Comp. 78 (2009), 1237-1267; DOI: https://doi.org/10.1090/S0025-5718-09-02235-2; Published electronically: February 20, 2009; PDF

Convergent discretization of heat and wave map flows to spheres using approximate discrete Lagrange multipliers: Sören Bartels, Christian Lubich and Andreas Prohl;; Math. Comp. 78 (2009), 1269-1292; DOI: https://doi.org/10.1090/S0025-5718-09-02221-2; Published electronically: February 18, 2009; PDF

Space-time adaptive wavelet methods for parabolic evolution problems: Christoph Schwab and Rob Stevenson;; Math. Comp. 78 (2009), 1293-1318; DOI: https://doi.org/10.1090/S0025-5718-08-02205-9; Published electronically: November 25, 2008; PDF

Inf-sup condition for spherical polynomials and radial basis functions on spheres: Ian H. Sloan and Holger Wendland;; Math. Comp. 78 (2009), 1319-1331; DOI: https://doi.org/10.1090/S0025-5718-09-02207-8; Published electronically: January 22, 2009; PDF

A convergent finite element-finite volume scheme for the compressible Stokes problem. Part I: The isothermal case: T. Gallouët, R. Herbin and J.-C. Latché;; Math. Comp. 78 (2009), 1333-1352; DOI: https://doi.org/10.1090/S0025-5718-09-02216-9; Published electronically: January 30, 2009; PDF

Nitsche’s method for general boundary conditions: Mika Juntunen and Rolf Stenberg;; Math. Comp. 78 (2009), 1353-1374; DOI: https://doi.org/10.1090/S0025-5718-08-02183-2; Published electronically: September 25, 2008; PDF

The computation of resonances in open systems using a perfectly matched layer: Seungil Kim and Joseph E. Pasciak;; Math. Comp. 78 (2009), 1375-1398; DOI: https://doi.org/10.1090/S0025-5718-09-02227-3; Published electronically: February 6, 2009; PDF

Applicability and applications of the method of fundamental solutions: Yiorgos-Sokratis Smyrlis;; Math. Comp. 78 (2009), 1399-1434; DOI: https://doi.org/10.1090/S0025-5718-09-02191-7; Published electronically: January 30, 2009; PDF

Computational approach to solvability of refinement equations: Victor D. Didenko and Bernd Silbermann;; Math. Comp. 78 (2009), 1435-1466; DOI: https://doi.org/10.1090/S0025-5718-09-02232-7; Published electronically: March 10, 2009; PDF

Analysis of splitting methods for reaction-diffusion problems using stochastic calculus: Erwan Faou;; Math. Comp. 78 (2009), 1467-1483; DOI: https://doi.org/10.1090/S0025-5718-08-02185-6; Published electronically: November 6, 2008; PDF

Exponential splitting for unbounded operators: Eskil Hansen and Alexander Ostermann;; Math. Comp. 78 (2009), 1485-1496; DOI: https://doi.org/10.1090/S0025-5718-09-02213-3; Published electronically: January 22, 2009; PDF

Computation of optimal monotonicity preserving general linear methods: David I. Ketcheson;; Math. Comp. 78 (2009), 1497-1513; DOI: https://doi.org/10.1090/S0025-5718-09-02209-1; Published electronically: January 22, 2009; PDF

Linearized Bregman iterations for compressed sensing: Jian-Feng Cai, Stanley Osher and Zuowei Shen;; Math. Comp. 78 (2009), 1515-1536; DOI: https://doi.org/10.1090/S0025-5718-08-02189-3; Published electronically: October 22, 2008; PDF

Hybrid spline frames: Say Song Goh, Tim N. T. Goodman and S. L. Lee;; Math. Comp. 78 (2009), 1537-1551; DOI: https://doi.org/10.1090/S0025-5718-09-02192-9; Published electronically: January 21, 2009; PDF

Function classes for successful DE-Sinc approximations: Ken’ichiro Tanaka, Masaaki Sugihara and Kazuo Murota;; Math. Comp. 78 (2009), 1553-1571; DOI: https://doi.org/10.1090/S0025-5718-08-02196-0; Published electronically: October 28, 2008; PDF

A multivariate fast discrete Walsh transform with an application to function interpolation: Kwong-Ip Liu, Josef Dick and Fred J. Hickernell;; Math. Comp. 78 (2009), 1573-1591; DOI: https://doi.org/10.1090/S0025-5718-09-02202-9; Published electronically: January 9, 2009; PDF

Variable transformations and Gauss-Legendre quadrature for integrals with endpoint singularities: Avram Sidi;; Math. Comp. 78 (2009), 1593-1612; DOI: https://doi.org/10.1090/S0025-5718-09-02203-0; Published electronically: January 22, 2009; PDF

An improvement of the region of accessibility of Chebyshev’s method from Newton’s method: J. A. Ezquerro and M. A. Hernández;; Math. Comp. 78 (2009), 1613-1627; DOI: https://doi.org/10.1090/S0025-5718-09-02193-0; Published electronically: January 12, 2009; PDF

On the convergence rate of a modified Fourier series: Sheehan Olver;; Math. Comp. 78 (2009), 1629-1645; DOI: https://doi.org/10.1090/S0025-5718-09-02204-2; Published electronically: February 18, 2009; PDF

Solution of $F(z+1)=\exp \big (F(z)\big )$ in complex $z$-plane: Dmitrii Kouznetsov;; Math. Comp. 78 (2009), 1647-1670; DOI: https://doi.org/10.1090/S0025-5718-09-02188-7; Published electronically: January 6, 2009; PDF

Combined Monte Carlo sampling and penalty method for Stochastic nonlinear complementarity problems: Gui-Hua Lin;; Math. Comp. 78 (2009), 1671-1686; DOI: https://doi.org/10.1090/S0025-5718-09-02206-6; Published electronically: January 21, 2009; PDF

Constructing multidimensional periodic continued fractions in the sense of Klein: O. N. Karpenkov;; Math. Comp. 78 (2009), 1687-1711; DOI: https://doi.org/10.1090/S0025-5718-08-02187-X; Published electronically: October 24, 2008; PDF

Complexity and algorithms for computing Voronoi cells of lattices: Mathieu Dutour Sikirić, Achill Schürmann and Frank Vallentin;; Math. Comp. 78 (2009), 1713-1731; DOI: https://doi.org/10.1090/S0025-5718-09-02224-8; Published electronically: February 6, 2009; PDF

Reconstruction of matrices from submatrices: Géza Kós, Péter Ligeti and Péter Sziklai;; Math. Comp. 78 (2009), 1733-1747; DOI: https://doi.org/10.1090/S0025-5718-09-02210-8; Published electronically: January 23, 2009; PDF

Galois groups of Schubert problems via homotopy computation: Anton Leykin and Frank Sottile;; Math. Comp. 78 (2009), 1749-1765; DOI: https://doi.org/10.1090/S0025-5718-09-02239-X; Published electronically: February 25, 2009; PDF

Computing the $\ell$-power torsion of an elliptic curve over a finite field: J. Miret, R. Moreno, A. Rio and M. Valls;; Math. Comp. 78 (2009), 1767-1786; DOI: https://doi.org/10.1090/S0025-5718-08-02201-1; Published electronically: October 29, 2008; PDF

Classification of ternary extremal self-dual codes of length 28: Masaaki Harada, Akihiro Munemasa and Boris Venkov;; Math. Comp. 78 (2009), 1787-1796; DOI: https://doi.org/10.1090/S0025-5718-08-02194-7; Published electronically: October 24, 2008; PDF

On the Iwasawa $\lambda$-invariant of the cyclotomic $\mathbb {Z}_2$-extension of $\mathbb {Q}(\sqrt {p} )$: Takashi Fukuda and Keiichi Komatsu;; Math. Comp. 78 (2009), 1797-1808; DOI: https://doi.org/10.1090/S0025-5718-09-02124-3; Published electronically: January 28, 2009; PDF

Computing modular polynomials in quasi-linear time: Andreas Enge;; Math. Comp. 78 (2009), 1809-1824; DOI: https://doi.org/10.1090/S0025-5718-09-02199-1; Published electronically: March 11, 2009; PDF

A computational approach to the 2-torsion structure of abelian threefolds: John Cullinan;; Math. Comp. 78 (2009), 1825-1836; DOI: https://doi.org/10.1090/S0025-5718-09-02218-2; Published electronically: January 22, 2009; PDF

Lower bounds for Z-numbers: Artūras Dubickas and Michael J. Mossinghoff;; Math. Comp. 78 (2009), 1837-1851; DOI: https://doi.org/10.1090/S0025-5718-09-02211-X; Published electronically: January 23, 2009; PDF

Covers of the integers with odd moduli and their applications to the forms $x^{m}-2^{n}$ and $x^{2}-F_{3n}/2$: Ke-Jian Wu and Zhi-Wei Sun;; Math. Comp. 78 (2009), 1853-1866; DOI: https://doi.org/10.1090/S0025-5718-09-02212-1; Published electronically: January 30, 2009; PDF

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

Matrix methods in data mining and pattern recognition, by Lars Eldén.: Reviewer: Daniela Calvetti; Review information PDF; Math. Comp. 78 (2009), 1867-1868