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 77, Number 264
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On the order of convergence of the discontinuous Galerkin method for hyperbolic equations: Gerard R. Richter;; Math. Comp. 77 (2008), 1871-1885; DOI: https://doi.org/10.1090/S0025-5718-08-02126-1; Published electronically: May 8, 2008; PDF

A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems: Bernardo Cockburn, Bo Dong and Johnny Guzmán;; Math. Comp. 77 (2008), 1887-1916; DOI: https://doi.org/10.1090/S0025-5718-08-02123-6; Published electronically: May 6, 2008; HTML | PDF

Robust a posteriori error estimation for the nonconforming Fortin–Soulie finite element approximation: Mark Ainsworth and Richard Rankin;; Math. Comp. 77 (2008), 1917-1939; DOI: https://doi.org/10.1090/S0025-5718-08-02116-9; Published electronically: April 28, 2008; PDF

A mixed method for axisymmetric div-curl systems: Dylan M. Copeland, Jayadeep Gopalakrishnan and Joseph E. Pasciak;; Math. Comp. 77 (2008), 1941-1965; DOI: https://doi.org/10.1090/S0025-5718-08-02102-9; Published electronically: March 10, 2008; PDF

Polynomial extension operators for $H^1$, $\boldsymbol {H}(\mathbf {curl})$ and $\boldsymbol {H}(\mathbf {div})$ - spaces on a cube: M. Costabel, M. Dauge and L. Demkowicz;; Math. Comp. 77 (2008), 1967-1999; DOI: https://doi.org/10.1090/S0025-5718-08-02108-X; Published electronically: April 29, 2008; PDF

Optimal order multilevel preconditioners for regularized ill-posed problems: Andrei Drăgănescu and Todd F. Dupont;; Math. Comp. 77 (2008), 2001-2038; DOI: https://doi.org/10.1090/S0025-5718-08-02100-5; Published electronically: February 25, 2008; PDF

Local projection stabilization of equal order interpolation applied to the Stokes problem: Sashikumaar Ganesan, Gunar Matthies and Lutz Tobiska;; Math. Comp. 77 (2008), 2039-2060; DOI: https://doi.org/10.1090/S0025-5718-08-02130-3; Published electronically: May 9, 2008; PDF

New expansions of numerical eigenvalues for $-\Delta u=\lambda \rho u$ by nonconforming elements: Qun Lin, Hung-Tsai Huang and Zi-Cai Li;; Math. Comp. 77 (2008), 2061-2084; DOI: https://doi.org/10.1090/S0025-5718-08-02098-X; Published electronically: May 29, 2008; PDF

A finite difference method on layer-adapted meshes for an elliptic reaction-diffusion system in two dimensions: R. Bruce Kellogg, Torsten Linss and Martin Stynes;; Math. Comp. 77 (2008), 2085-2096; DOI: https://doi.org/10.1090/S0025-5718-08-02125-X; Published electronically: March 14, 2008; PDF

The Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial data: Yinnian He;; Math. Comp. 77 (2008), 2097-2124; DOI: https://doi.org/10.1090/S0025-5718-08-02127-3; Published electronically: May 8, 2008; PDF

Pointwise approximation of corner singularities for a singularly perturbed reaction-diffusion equation in an $L$-shaped domain: Vladimir B. Andreev and Natalia Kopteva;; Math. Comp. 77 (2008), 2125-2139; DOI: https://doi.org/10.1090/S0025-5718-08-02106-6; Published electronically: February 19, 2008; PDF

On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations: Christian Lubich;; Math. Comp. 77 (2008), 2141-2153; DOI: https://doi.org/10.1090/S0025-5718-08-02101-7; Published electronically: February 19, 2008; HTML | PDF

A stable test for strict sign regularity: V. Cortés and J. M. Peña;; Math. Comp. 77 (2008), 2155-2171; DOI: https://doi.org/10.1090/S0025-5718-08-02107-8; Published electronically: March 19, 2008; PDF

Global convergence of the Polak-Ribière-Polyak conjugate gradient method with an Armijo-type inexact line search for nonconvex unconstrained optimization problems: Zeng Xin Wei, Guo Yin Li and Li Qun Qi;; Math. Comp. 77 (2008), 2173-2193; DOI: https://doi.org/10.1090/S0025-5718-08-02031-0; Published electronically: June 11, 2008; PDF

Computing singular values of diagonally dominant matrices to high relative accuracy: Qiang Ye;; Math. Comp. 77 (2008), 2195-2230; DOI: https://doi.org/10.1090/S0025-5718-08-02112-1; Published electronically: May 5, 2008; PDF

A globally convergent BFGS method for nonlinear monotone equations without any merit functions: Wei-Jun Zhou and Dong-Hui Li;; Math. Comp. 77 (2008), 2231-2240; DOI: https://doi.org/10.1090/S0025-5718-08-02121-2; Published electronically: May 19, 2008; PDF

Positive quadrature formulas III: asymptotics of weights: Franz Peherstorfer;; Math. Comp. 77 (2008), 2241-2259; DOI: https://doi.org/10.1090/S0025-5718-08-02119-4; Published electronically: May 1, 2008; PDF

Monotonicity of some functions involving the gamma and psi functions: Stamatis Koumandos;; Math. Comp. 77 (2008), 2261-2275; DOI: https://doi.org/10.1090/S0025-5718-08-02140-6; Published electronically: May 14, 2008; PDF

Identifying minimal and dominant solutions for Kummer recursions: Alfredo Deaño, Javier Segura and Nico M. Temme;; Math. Comp. 77 (2008), 2277-2293; DOI: https://doi.org/10.1090/S0025-5718-08-02122-4; Published electronically: May 14, 2008; PDF

Divided differences of inverse functions and partitions of a convex polygon: Michael S. Floater and Tom Lyche;; Math. Comp. 77 (2008), 2295-2308; DOI: https://doi.org/10.1090/S0025-5718-08-02144-3; Published electronically: June 2, 2008; PDF

The power of adaption for approximating functions with singularities: Leszek Plaskota, Grzegorz W. Wasilkowski and Yaxi Zhao;; Math. Comp. 77 (2008), 2309-2338; DOI: https://doi.org/10.1090/S0025-5718-08-02103-0; Published electronically: April 24, 2008; PDF

A Gilbert-Varshamov type bound for Euclidean packings: Gabriele Nebe and Chaoping Xing;; Math. Comp. 77 (2008), 2339-2344; DOI: https://doi.org/10.1090/S0025-5718-08-02113-3; Published electronically: April 28, 2008; PDF

The construction of good extensible rank-1 lattices: Josef Dick, Friedrich Pillichshammer and Benjamin J. Waterhouse;; Math. Comp. 77 (2008), 2345-2373; DOI: https://doi.org/10.1090/S0025-5718-08-02009-7; Published electronically: May 1, 2008; PDF

Computation of Maass waveforms with nontrivial multiplier systems: Fredrik Strömberg;; Math. Comp. 77 (2008), 2375-2416; DOI: https://doi.org/10.1090/S0025-5718-08-02129-7; Published electronically: May 15, 2008; PDF

A $p$-adic algorithm to compute the Hilbert class polynomial: Reinier Bröker;; Math. Comp. 77 (2008), 2417-2435; DOI: https://doi.org/10.1090/S0025-5718-08-02091-7; Published electronically: April 23, 2008; PDF

The zeros of Dedekind zeta functions and class numbers of CM-fields: Geon-No Lee and Soun-Hi Kwon;; Math. Comp. 77 (2008), 2437-2445; DOI: https://doi.org/10.1090/S0025-5718-08-02093-0; Published electronically: June 2, 2008; PDF

Solving resultant form equations over number fields: István Gaál and Michael Pohst;; Math. Comp. 77 (2008), 2447-2453; DOI: https://doi.org/10.1090/S0025-5718-08-02141-8; Published electronically: May 19, 2008; PDF

Prime factors of consecutive integers: Mark Bauer and Michael A. Bennett;; Math. Comp. 77 (2008), 2455-2459; DOI: https://doi.org/10.1090/S0025-5718-08-02134-0; Published electronically: May 20, 2008; PDF