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 39, Number 160
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A finite element method for solving Helmholtz type equations in waveguides and other unbounded domains: Charles I. Goldstein PDF; Math. Comp. 39 (1982), 309-324

Some remarks on the convergence of approximate solutions of nonlinear evolution equations in Hilbert spaces: Laurent Véron PDF; Math. Comp. 39 (1982), 325-337

On a higher order accurate fully discrete Galerkin approximation to the Navier-Stokes equations: Garth A. Baker, Vassilios A. Dougalis and Ohannes A. Karakashian PDF; Math. Comp. 39 (1982), 339-375

Error estimates for the multidimensional two-phase Stefan problem: Joseph W. Jerome and Michael E. Rose PDF; Math. Comp. 39 (1982), 377-414

Correction of Sturm-Liouville eigenvalue estimates: J. Paine PDF; Math. Comp. 39 (1982), 415-420

Eigenvalue problems on infinite intervals: Peter A. Markowich PDF; Math. Comp. 39 (1982), 421-441

Approximation of the spectrum of an operator given by the magnetohydrodynamic stability of a plasma: Yves Jaccard and Hugo Evéquoz PDF; Math. Comp. 39 (1982), 443-452

Analysis of a multilevel iterative method for nonlinear finite element equations: Randolph E. Bank and Donald J. Rose PDF; Math. Comp. 39 (1982), 453-465

Numerical solution of systems of ordinary differential equations with the Tau method: an error analysis: J. H. Freilich and E. L. Ortiz PDF; Math. Comp. 39 (1982), 467-479

Linear multistep methods for stable differential equations $\ddot y=Ay+B(t)\dot y+c(t)$: Eckart Gekeler PDF; Math. Comp. 39 (1982), 481-490

Two classes of internally $S$-stable generalized Runge-Kutta processes which remain consistent with an inaccurate Jacobian: J. D. Day and D. N. P. Murthy PDF; Math. Comp. 39 (1982), 491-509

On optimal integration methods for Volterra integral equations of the first kind: C. J. Gladwin PDF; Math. Comp. 39 (1982), 511-518

Galerkin methods for second kind integral equations with singularities: Ivan G. Graham PDF; Math. Comp. 39 (1982), 519-533

Evaluation of Fourier integrals using $B$-splines: M. Lax and G. P. Agrawal PDF; Math. Comp. 39 (1982), 535-548

A note on Haselgrove’s method for numerical integration: Masaaki Sugihara and Kazuo Murota PDF; Math. Comp. 39 (1982), 549-554

On the speed of convergence of the nearest integer continued fraction: H. Jager PDF; Math. Comp. 39 (1982), 555-558

A generalized Lánczos scheme: H. A. van der Vorst PDF; Math. Comp. 39 (1982), 559-561

Relative distance—an error measure in round-off error analysis: Abraham Ziv PDF; Math. Comp. 39 (1982), 563-569

On the uniqueness of best $L_{2}[0, 1]$ approximation by piecewise polynomials with variable breakpoints: Jeff Chow PDF; Math. Comp. 39 (1982), 571-585

An acceleration method for the power series of entire functions of order $1$: B. Gabutti and J. N. Lyness PDF; Math. Comp. 39 (1982), 587-597

Complex Chebyshev polynomials on circular sectors with degree six or less: U. Grothkopf and G. Opfer PDF; Math. Comp. 39 (1982), 599-615

Rational Chebyshev approximations for the Bessel functions $J_{0}(x)$, $J_{1}(x)$, $Y_{0}(x)$, $Y_{1}(x)$: C. A. Wills, J. M. Blair and P. L. Ragde PDF; Math. Comp. 39 (1982), 617-623

On the computation of certain integrals containing the modified Bessel function $I_{0}(\xi )$: Keith R. Lassey PDF; Math. Comp. 39 (1982), 625-637

Zeros of the Hankel function of real order and of its derivative: Andrés Cruz and Javier Sesma PDF; Math. Comp. 39 (1982), 639-645

Closed expressions for $\int ^{1}_{0}t^{-1}\textrm {log}^{n-1}\ t\log ^{p}(1-t) dt$: K. S. Kölbig PDF; Math. Comp. 39 (1982), 647-654

Formulas for factorial $N$: Francis J. Murray PDF; Math. Comp. 39 (1982), 655-662

Computing in permutation and matrix groups. I. Normal closure, commutator subgroups, series: Gregory Butler and John J. Cannon PDF; Math. Comp. 39 (1982), 663-670

Computing in permutation and matrix groups. II. Backtrack algorithm: Gregory Butler PDF; Math. Comp. 39 (1982), 671-680

On the zeros of the Riemann zeta function in the critical strip. II: R. P. Brent, J. van de Lune, H. J. J. te Riele and D. T. Winter PDF; Math. Comp. 39 (1982), 681-688

On the real cubic fields: P. Llorente and A. V. Oneto PDF; Math. Comp. 39 (1982), 689-692

Class number computations of real abelian number fields: F. J. van der Linden PDF; Math. Comp. 39 (1982), 693-707

On the number of Markoff numbers below a given bound: Don Zagier PDF; Math. Comp. 39 (1982), 709-723

Class number formulae of Dirichlet type: Richard H. Hudson and Kenneth S. Williams PDF; Math. Comp. 39 (1982), 725-732

Reviews and Descriptions of Tables and Books: PDF; Math. Comp. 39 (1982), 733-745

Table errata: Table of integrals, series, and products [corrected and enlarged edition, Academic Press, New York, 1980; MR 81g:33001] by I. S. Gradshteyn [I. S. Gradshteĭn] and I. M. Ryzhik: H. van Haeringen and L. P. Kok PDF; Math. Comp. 39 (1982), 747-757

Table Errata: PDF; Math. Comp. 39 (1982), 747-757

Table errata: “New primality criteria and factorizations of $2^{m}\pm 1$” [Math. Comp. 29 (1975), 620–647; MR 52 #5546] by the author, D. H. Lehmer and J. L. Selfridge: John Brillhart PDF; Math. Comp. 39 (1982), 747

Corrigendum: “Some primes with interesting digit patterns” [Math. Comp. 32 (1978), no. 144, 1306–1310; MR 58 #484]: H. C. Williams PDF; Math. Comp. 39 (1982), 759

Corrigendum: PDF; Math. Comp. 39 (1982), 759

Indices: PDF; Math. Comp. 39 (1982), 761-775