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 73, Number 245
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Nonconforming elements in least-squares mixed finite element methods: Huo-Yuan Duan and Guo-Ping Liang;; Math. Comp. 73 (2004), 1-18; DOI: https://doi.org/10.1090/S0025-5718-03-01520-5; Published electronically: March 27, 2003; PDF

Numerical solution of the elastic body-plate problem by nonoverlapping domain decomposition type techniques: Jianguo Huang;; Math. Comp. 73 (2004), 19-34; DOI: https://doi.org/10.1090/S0025-5718-03-01532-1; Published electronically: May 7, 2003; PDF

Substructuring preconditioners for saddle-point problems arising from Maxwell’s equations in three dimensions: Qiya Hu and Jun Zou;; Math. Comp. 73 (2004), 35-61; DOI: https://doi.org/10.1090/S0025-5718-03-01541-2; Published electronically: August 19, 2003; PDF

Explicit diffusive kinetic schemes for nonlinear degenerate parabolic systems: D. Aregba-Driollet, R. Natalini and S. Tang;; Math. Comp. 73 (2004), 63-94; DOI: https://doi.org/10.1090/S0025-5718-03-01549-7; Published electronically: August 26, 2003; PDF

Mixed Laguerre-Legendre pseudospectral method for incompressible fluid flow in an infinite strip: Ben-yu Guo and Cheng-long Xu;; Math. Comp. 73 (2004), 95-125; DOI: https://doi.org/10.1090/S0025-5718-03-01521-7; Published electronically: June 19, 2003; PDF

Discrete absorbing boundary conditions for Schrödinger-type equations. Practical implementation: Isaías Alonso-Mallo and Nuria Reguera;; Math. Comp. 73 (2004), 127-142; DOI: https://doi.org/10.1090/S0025-5718-03-01548-5; Published electronically: June 6, 2003; PDF

Discrete Fredholm properties and convergence estimates for the electric field integral equation: Snorre H. Christiansen;; Math. Comp. 73 (2004), 143-167; DOI: https://doi.org/10.1090/S0025-5718-03-01581-3; Published electronically: July 1, 2003; PDF

Perturbation analysis for circles, spheres, and generalized hyperspheres fitted to data by geometric total least-squares: Yves Nievergelt;; Math. Comp. 73 (2004), 169-180; DOI: https://doi.org/10.1090/S0025-5718-03-01613-2; Published electronically: August 19, 2003; PDF

Lagrange interpolation on subgrids of tensor product grids: Thomas Sauer;; Math. Comp. 73 (2004), 181-190; DOI: https://doi.org/10.1090/S0025-5718-03-01557-6; Published electronically: June 6, 2003; PDF

Asymptotics of recurrence coefficients for orthonormal polynomials on the line—Magnus’s method revisited: S. B. Damelin;; Math. Comp. 73 (2004), 191-209; DOI: https://doi.org/10.1090/S0025-5718-03-01553-9; Published electronically: July 28, 2003; PDF

Laguerre approximation of stable manifolds with application to connecting orbits: Gerald Moore;; Math. Comp. 73 (2004), 211-242; DOI: https://doi.org/10.1090/S0025-5718-03-01535-7; Published electronically: April 22, 2003; PDF

A note on a paper by G. Mastroianni and G. Monegato: G. Criscuolo;; Math. Comp. 73 (2004), 243-250; DOI: https://doi.org/10.1090/S0025-5718-03-01540-0; Published electronically: July 14, 2003; PDF

Evaluation formulas for Tornheim’s type of alternating double series: Hirofumi Tsumura;; Math. Comp. 73 (2004), 251-258; DOI: https://doi.org/10.1090/S0025-5718-03-01572-2; Published electronically: July 14, 2003; PDF

Optimal quadrature for Haar wavelet spaces: Stefan Heinrich, Fred J. Hickernell and Rong-Xian Yue;; Math. Comp. 73 (2004), 259-277; DOI: https://doi.org/10.1090/S0025-5718-03-01531-X; Published electronically: April 28, 2003; PDF

Four-dimensional lattice rules generated by skew-circulant matrices: J. N. Lyness and T. Sørevik;; Math. Comp. 73 (2004), 279-295; DOI: https://doi.org/10.1090/S0025-5718-03-01534-5; Published electronically: June 3, 2003; PDF

The Brumer-Stark conjecture in some families of extensions of specified degree: Cornelius Greither, Xavier-François Roblot and Brett A. Tangedal;; Math. Comp. 73 (2004), 297-315; DOI: https://doi.org/10.1090/S0025-5718-03-01565-5; Published electronically: June 19, 2003; PDF

Factoring polynomials over finite fields with Drinfeld modules: G. J. van der Heiden;; Math. Comp. 73 (2004), 317-322; DOI: https://doi.org/10.1090/S0025-5718-03-01598-9; Published electronically: August 7, 2003; PDF

High rank elliptic curves with torsion group $\mathbb {Z}/(2\mathbb {Z})$: Julián Aguirre, Fernando Castañeda and Juan Carlos Peral;; Math. Comp. 73 (2004), 323-331; DOI: https://doi.org/10.1090/S0025-5718-03-01547-3; Published electronically: May 30, 2003; PDF

Linear algebra algorithms for divisors on an algebraic curve: Kamal Khuri-Makdisi;; Math. Comp. 73 (2004), 333-357; DOI: https://doi.org/10.1090/S0025-5718-03-01567-9; Published electronically: July 7, 2003; PDF

An efficient algorithm for the computation of Galois automorphisms: Bill Allombert;; Math. Comp. 73 (2004), 359-375; DOI: https://doi.org/10.1090/S0025-5718-03-01476-5; Published electronically: July 17, 2003; PDF

Class numbers of some abelian extensions of rational function fields: Sunghan Bae, Hwanyup Jung and Jaehyun Ahn;; Math. Comp. 73 (2004), 377-386; DOI: https://doi.org/10.1090/S0025-5718-03-01528-X; Published electronically: April 28, 2003; PDF

The arithmetic of certain cubic function fields: Mark L. Bauer;; Math. Comp. 73 (2004), 387-413; DOI: https://doi.org/10.1090/S0025-5718-03-01559-X; Published electronically: June 17, 2003; PDF

Real zeros of real odd Dirichlet $L$-functions: Mark Watkins;; Math. Comp. 73 (2004), 415-423; DOI: https://doi.org/10.1090/S0025-5718-03-01537-0; Published electronically: May 7, 2003; PDF

Chebyshev’s bias for composite numbers with restricted prime divisors: Pieter Moree;; Math. Comp. 73 (2004), 425-449; DOI: https://doi.org/10.1090/S0025-5718-03-01536-9; Published electronically: May 21, 2003; PDF

The hexagonal versus the square lattice: Pieter Moree and Herman J.J. te Riele;; Math. Comp. 73 (2004), 451-473; DOI: https://doi.org/10.1090/S0025-5718-03-01556-4; Published electronically: June 11, 2003; PDF

All numbers whose positive divisors have integral harmonic mean up to $\mathbf {300}$: T. Goto and S. Shibata;; Math. Comp. 73 (2004), 475-491; DOI: https://doi.org/10.1090/S0025-5718-03-01554-0; Published electronically: June 19, 2003; PDF

Greedy sums of distinct squares: Hugh L. Montgomery and Ulrike M. A. Vorhauer;; Math. Comp. 73 (2004), 493-513; DOI: https://doi.org/10.1090/S0025-5718-03-01513-8; Published electronically: June 19, 2003; PDF

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

A mathematical view of interior-point methods in convex optimization, by James Renegar.: Reviewer: Robert M. Freund; Review information PDF; Math. Comp. 73 (2004), 515-516