Contents of Volume 39, Number 160

All articles in this issue are freely accessible.

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A finite element method for solving Helmholtz type equations in waveguides and other unbounded domains

Charles I. Goldstein.
Math. Comp. 39 (1982), 309-324
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MathSciNet review: 669632

Some remarks on the convergence of approximate solutions of nonlinear evolution equations in Hilbert spaces

Laurent Véron.
Math. Comp. 39 (1982), 325-337
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MathSciNet review: 669633

On a higher order accurate fully discrete Galerkin approximation to the Navier-Stokes equations

Garth A. Baker, Vassilios A. Dougalis and Ohannes A. Karakashian.
Math. Comp. 39 (1982), 339-375
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MathSciNet review: 669634

Error estimates for the multidimensional two-phase Stefan problem

Joseph W. Jerome and Michael E. Rose.
Math. Comp. 39 (1982), 377-414
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MathSciNet review: 669635

Correction of Sturm-Liouville eigenvalue estimates

J. Paine.
Math. Comp. 39 (1982), 415-420
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MathSciNet review: 669636

Eigenvalue problems on infinite intervals

Peter A. Markowich.
Math. Comp. 39 (1982), 421-441
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MathSciNet review: 669637

Approximation of the spectrum of an operator given by the magnetohydrodynamic stability of a plasma

Yves Jaccard and Hugo Evéquoz.
Math. Comp. 39 (1982), 443-452
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MathSciNet review: 669638

Analysis of a multilevel iterative method for nonlinear finite element equations

Randolph E. Bank and Donald J. Rose.
Math. Comp. 39 (1982), 453-465
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MathSciNet review: 669639

Numerical solution of systems of ordinary differential equations with the Tau method: an error analysis

J. H. Freilich and E. L. Ortiz.
Math. Comp. 39 (1982), 467-479
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MathSciNet review: 669640

Linear multistep methods for stable differential equations $ÿ=Ay+B(t)ẏ+c(t)$

Eckart Gekeler.
Math. Comp. 39 (1982), 481-490
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MathSciNet review: 669641

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.
Math. Comp. 39 (1982), 491-509
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MathSciNet review: 669642

On optimal integration methods for Volterra integral equations of the first kind

C. J. Gladwin.
Math. Comp. 39 (1982), 511-518
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MathSciNet review: 669643

Galerkin methods for second kind integral equations with singularities

Ivan G. Graham.
Math. Comp. 39 (1982), 519-533
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MathSciNet review: 669644

Evaluation of Fourier integrals using $B$-splines

M. Lax and G. P. Agrawal.
Math. Comp. 39 (1982), 535-548
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MathSciNet review: 669645

A note on Haselgrove’s method for numerical integration

Masaaki Sugihara and Kazuo Murota.
Math. Comp. 39 (1982), 549-554
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MathSciNet review: 669646

On the speed of convergence of the nearest integer continued fraction

H. Jager.
Math. Comp. 39 (1982), 555-558
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MathSciNet review: 669647

A generalized Lánczos scheme

H. A. van der Vorst.
Math. Comp. 39 (1982), 559-561
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MathSciNet review: 669648

Relative distance—an error measure in round-off error analysis

Abraham Ziv.
Math. Comp. 39 (1982), 563-569
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MathSciNet review: 669649

On the uniqueness of best $L_{2}[0,1]$ approximation by piecewise polynomials with variable breakpoints

Jeff Chow.
Math. Comp. 39 (1982), 571-585
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MathSciNet review: 669650

An acceleration method for the power series of entire functions of order $1$

B. Gabutti and J. N. Lyness.
Math. Comp. 39 (1982), 587-597
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MathSciNet review: 669651

Complex Chebyshev polynomials on circular sectors with degree six or less

U. Grothkopf and G. Opfer.
Math. Comp. 39 (1982), 599-615
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MathSciNet review: 669652

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.
Math. Comp. 39 (1982), 617-623
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MathSciNet review: 669653

On the computation of certain integrals containing the modified Bessel function $I_{0}(𝜉)$

Keith R. Lassey.
Math. Comp. 39 (1982), 625-637
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MathSciNet review: 669654

Zeros of the Hankel function of real order and of its derivative

Andrés Cruz and Javier Sesma.
Math. Comp. 39 (1982), 639-645
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MathSciNet review: 669655

Closed expressions for $∫^{1}_{0}t^{-1}log^{n-1} tlog^{p}(1-t)dt$

K. S. Kölbig.
Math. Comp. 39 (1982), 647-654
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MathSciNet review: 669656

Formulas for factorial $N$

Francis J. Murray.
Math. Comp. 39 (1982), 655-662
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MathSciNet review: 669657

Computing in permutation and matrix groups. I. Normal closure, commutator subgroups, series

Gregory Butler and John J. Cannon.
Math. Comp. 39 (1982), 663-670
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MathSciNet review: 669658

Computing in permutation and matrix groups. II. Backtrack algorithm

Gregory Butler.
Math. Comp. 39 (1982), 671-680
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MathSciNet review: 669659

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.
Math. Comp. 39 (1982), 681-688
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MathSciNet review: 669660

On the real cubic fields

P. Llorente and A. V. Oneto.
Math. Comp. 39 (1982), 689-692
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MathSciNet review: 669661

Class number computations of real abelian number fields

F. J. van der Linden.
Math. Comp. 39 (1982), 693-707
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MathSciNet review: 669662

On the number of Markoff numbers below a given bound

Don Zagier.
Math. Comp. 39 (1982), 709-723
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MathSciNet review: 669663

Class number formulae of Dirichlet type

Richard H. Hudson and Kenneth S. Williams.
Math. Comp. 39 (1982), 725-732
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MathSciNet review: 669664

Reviews and Descriptions of Tables and Books

Math. Comp. 39 (1982), 733-745
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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.
Math. Comp. 39 (1982), 747-757
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MathSciNet review: 669666

Table Errata

Math. Comp. 39 (1982), 747-757
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Table errata: “New primality criteria and factorizations of $2^{m}±1$” [Math. Comp. 29 (1975), 620–647; MR 52 #5546] by the author, D. H. Lehmer and J. L. Selfridge

John Brillhart.
Math. Comp. 39 (1982), 747
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MathSciNet review: 669665

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

H. C. Williams.
Math. Comp. 39 (1982), 759
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MathSciNet review: 669667

Corrigendum

Math. Comp. 39 (1982), 759
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Indices

Math. Comp. 39 (1982), 761-775
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