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 75, Number 255
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Error reduction and convergence for an adaptive mixed finite element method: Carsten Carstensen and R. H. W. Hoppe;; Math. Comp. 75 (2006), 1033-1042; DOI: https://doi.org/10.1090/S0025-5718-06-01829-1; Published electronically: March 13, 2006; PDF

Analysis of some low order quadrilateral Reissner-Mindlin plate elements: Pingbing Ming and Zhong-ci Shi;; Math. Comp. 75 (2006), 1043-1065; DOI: https://doi.org/10.1090/S0025-5718-06-01833-3; Published electronically: May 1, 2006; PDF

Pointwise error estimates for discontinuous Galerkin methods with lifting operators for elliptic problems: Johnny Guzmán;; Math. Comp. 75 (2006), 1067-1085; DOI: https://doi.org/10.1090/S0025-5718-06-01823-0; Published electronically: March 3, 2006; PDF

Locking-free adaptive discontinuous Galerkin FEM for linear elasticity problems: Thomas P. Wihler;; Math. Comp. 75 (2006), 1087-1102; DOI: https://doi.org/10.1090/S0025-5718-06-01815-1; Published electronically: January 20, 2006; PDF

High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems: Manuel Castro, José M. Gallardo and Carlos Parés;; Math. Comp. 75 (2006), 1103-1134; DOI: https://doi.org/10.1090/S0025-5718-06-01851-5; Published electronically: March 21, 2006; HTML | PDF

Parameter-uniform finite difference schemes for singularly perturbed parabolic diffusion-convection-reaction problems: E. O’Riordan, M. L. Pickett and G. I. Shishkin;; Math. Comp. 75 (2006), 1135-1154; DOI: https://doi.org/10.1090/S0025-5718-06-01846-1; Published electronically: April 3, 2006; PDF

A variant of the level set method and applications to image segmentation: Johan Lie, Marius Lysaker and Xue-Cheng Tai;; Math. Comp. 75 (2006), 1155-1174; DOI: https://doi.org/10.1090/S0025-5718-06-01835-7; Published electronically: February 22, 2006; PDF

The boundaries of the solutions of the linear Volterra integral equations with convolution kernel: Ismet Özdemir and Ö. Faruk Temizer;; Math. Comp. 75 (2006), 1175-1199; DOI: https://doi.org/10.1090/S0025-5718-06-01834-5; Published electronically: March 3, 2006; PDF

The stability of modified Runge-Kutta methods for the pantograph equation: M. Z. Liu, Z. W. Yang and Y. Xu;; Math. Comp. 75 (2006), 1201-1215; DOI: https://doi.org/10.1090/S0025-5718-06-01844-8; Published electronically: May 3, 2006; PDF

Integral formulas for Chebyshev polynomials and the error term of interpolatory quadrature formulae for analytic functions: Sotirios E. Notaris;; Math. Comp. 75 (2006), 1217-1231; DOI: https://doi.org/10.1090/S0025-5718-06-01859-X; Published electronically: May 1, 2006; PDF

Quadrature methods for multivariate highly oscillatory integrals using derivatives: Arieh Iserles and Syvert P. Nørsett;; Math. Comp. 75 (2006), 1233-1258; DOI: https://doi.org/10.1090/S0025-5718-06-01854-0; Published electronically: March 8, 2006; PDF

On the optimal convergence rate of universal and nonuniversal algorithms for multivariate integration and approximation: Michael Griebel and Henryk Woźniakowski;; Math. Comp. 75 (2006), 1259-1286; DOI: https://doi.org/10.1090/S0025-5718-06-01865-5; Published electronically: May 1, 2006; PDF

Optimal $C^2$ two-dimensional interpolatory ternary subdivision schemes with two-ring stencils: Bin Han and Rong-Qing Jia;; Math. Comp. 75 (2006), 1287-1308; DOI: https://doi.org/10.1090/S0025-5718-06-01821-7; Published electronically: May 3, 2006; PDF

Table of integrals of squared Jacobian elliptic functions and reductions of related hypergeometric $R$-functions: B. C. Carlson;; Math. Comp. 75 (2006), 1309-1318; DOI: https://doi.org/10.1090/S0025-5718-06-01838-2; Published electronically: March 13, 2006; PDF

Wavelets on manifolds: An optimized construction: Angela Kunoth and Jan Sahner;; Math. Comp. 75 (2006), 1319-1349; DOI: https://doi.org/10.1090/S0025-5718-06-01828-X; Published electronically: May 3, 2006; PDF

Low rank update of singular values: Delin Chu and Moody Chu;; Math. Comp. 75 (2006), 1351-1366; DOI: https://doi.org/10.1090/S0025-5718-06-01825-4; Published electronically: February 27, 2006; PDF

Limiting set of second order spectra: Lyonell Boulton;; Math. Comp. 75 (2006), 1367-1382; DOI: https://doi.org/10.1090/S0025-5718-06-01830-8; Published electronically: February 22, 2006; PDF

On perturbation of roots of homogeneous algebraic systems: S. Tanabé and M. N. Vrahatis;; Math. Comp. 75 (2006), 1383-1402; DOI: https://doi.org/10.1090/S0025-5718-06-01847-3; Published electronically: March 31, 2006; PDF

Convergent iterative schemes for time parallelization: Izaskun Garrido, Barry Lee, Gunnar E. Fladmark and Magne S. Espedal;; Math. Comp. 75 (2006), 1403-1428; DOI: https://doi.org/10.1090/S0025-5718-06-01832-1; Published electronically: February 24, 2006; PDF

Spectral residual method without gradient information for solving large-scale nonlinear systems of equations: William La Cruz, José Mario Martínez and Marcos Raydan;; Math. Comp. 75 (2006), 1429-1448; DOI: https://doi.org/10.1090/S0025-5718-06-01840-0; Published electronically: April 11, 2006; PDF

Computing the Ehrhart quasi-polynomial of a rational simplex: Alexander Barvinok;; Math. Comp. 75 (2006), 1449-1466; DOI: https://doi.org/10.1090/S0025-5718-06-01836-9; Published electronically: March 10, 2006; PDF

Five-dimensional $K$-optimal lattice rules: J. N. Lyness and Tor Sørevik;; Math. Comp. 75 (2006), 1467-1480; DOI: https://doi.org/10.1090/S0025-5718-06-01845-X; Published electronically: March 13, 2006; PDF

Quadratic class numbers and character sums: Andrew R. Booker;; Math. Comp. 75 (2006), 1481-1492; DOI: https://doi.org/10.1090/S0025-5718-06-01850-3; Published electronically: March 21, 2006; PDF

Integer points on the curve $Y^{2}=X^{3}\pm p^{k}X$: Konstantinos A. Draziotis;; Math. Comp. 75 (2006), 1493-1505; DOI: https://doi.org/10.1090/S0025-5718-06-01852-7; Published electronically: April 6, 2006; PDF

Dependency of units in number fields: Claus Fieker and Michael E. Pohst;; Math. Comp. 75 (2006), 1507-1518; DOI: https://doi.org/10.1090/S0025-5718-06-01899-0; Published electronically: April 3, 2006; PDF

The nonexistence of nonsolvable octic number fields ramified only at one small prime: Lesseni Sylla;; Math. Comp. 75 (2006), 1519-1526; DOI: https://doi.org/10.1090/S0025-5718-06-01827-8; Published electronically: May 1, 2006; PDF

Integer transfinite diameter and polynomials with small Mahler measure: Valérie Flammang, Georges Rhin and Jean-Marc Sac-Épée;; Math. Comp. 75 (2006), 1527-1540; DOI: https://doi.org/10.1090/S0025-5718-06-01791-1; Published electronically: March 28, 2006; PDF

Littlewood polynomials with high order zeros: Daniel Berend and Shahar Golan;; Math. Comp. 75 (2006), 1541-1552; DOI: https://doi.org/10.1090/S0025-5718-06-01848-5; Published electronically: May 1, 2006; PDF

Computing the arithmetic genus of Hilbert modular fourfolds: H. G. Grundman and L. E. Lippincott;; Math. Comp. 75 (2006), 1553-1560; DOI: https://doi.org/10.1090/S0025-5718-06-01842-4; Published electronically: March 21, 2006; PDF

The group of Weierstrass points of a plane quartic with at least eight hyperflexes: Martine Girard;; Math. Comp. 75 (2006), 1561-1583; DOI: https://doi.org/10.1090/S0025-5718-06-01853-9; Published electronically: May 1, 2006; PDF

Practical solution of the Diophantine equation $y^2 = x(x+2^ap^b)(x-2^ap^b)$: Konstantinos Draziotis and Dimitrios Poulakis;; Math. Comp. 75 (2006), 1585-1593; DOI: https://doi.org/10.1090/S0025-5718-06-01841-2; Published electronically: March 29, 2006; PDF

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

Finite elements and fast iterative solvers with applications in incompressible fluid dynamics, by Howard Elman, David Silvester and Andy Wathen.
Probability and computing randomized algorithms and probabilistic analysis, by Michael Mitzenmacher and Eli Upfal.: Reviewer: Barry Lee
Reviewer: Harald Niederreiter; Review information PDF; Math. Comp. 75 (2006), 1595-1597