Contents of Volume 47, Number 176

All articles in this issue are freely accessible.

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Convergence of the vortex filament method

Claude Greengard.
Math. Comp. 47 (1986), 387-398
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MathSciNet review: 856692

The convergence of multilevel methods for solving finite-element equations in the presence of singularities

Harry Yserentant.
Math. Comp. 47 (1986), 399-409
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MathSciNet review: 856693

Difference schemes for degenerate parabolic equations

E. A. Socolovsky.
Math. Comp. 47 (1986), 411-420
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MathSciNet review: 856694

Well-posedness of one-way wave equations and absorbing boundary conditions

Lloyd N. Trefethen and Laurence Halpern.
Math. Comp. 47 (1986), 421-435
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MathSciNet review: 856695

Absorbing boundary conditions for difference approximations to the multidimensional wave equation

Robert L. Higdon.
Math. Comp. 47 (1986), 437-459
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MathSciNet review: 856696

What is the complexity of related elliptic, parabolic, and hyperbolic problems?

Arthur G. Werschulz.
Math. Comp. 47 (1986), 461-472
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MathSciNet review: 856697

Stability with large step sizes for multistep discretizations of stiff ordinary differential equations

George Majda.
Math. Comp. 47 (1986), 473-502, S41
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MathSciNet review: 856698

Construction of variable-stepsize multistep formulas

Robert D. Skeel.
Math. Comp. 47 (1986), 503-510, S45
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MathSciNet review: 856699

The numerical solution of second-order boundary value problems on nonuniform meshes

Thomas A. Manteuffel and Andrew B. White.
Math. Comp. 47 (1986), 511-535, S53
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MathSciNet review: 856700

Supra-convergent schemes on irregular grids

H.-O. Kreiss, T. A. Manteuffel, B. Swartz, B. Wendroff and A. B. White.
Math. Comp. 47 (1986), 537-554
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MathSciNet review: 856701

A uniformly accurate finite-element method for a singularly perturbed one-dimensional reaction-diffusion problem

Eugene O'Riordan and Martin Stynes.
Math. Comp. 47 (1986), 555-570
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MathSciNet review: 856702

Symmetrization of the sinc-Galerkin method for boundary value problems

John Lund.
Math. Comp. 47 (1986), 571-588
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MathSciNet review: 856703

Integral equations on the half-line: a modified finite-section approximation

I. H. Sloan and A. Spence.
Math. Comp. 47 (1986), 589-595
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MathSciNet review: 856704

A spectral Galerkin method for a boundary integral equation

W. McLean.
Math. Comp. 47 (1986), 597-607
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MathSciNet review: 856705

A Shamanskiĭ-like acceleration scheme for nonlinear equations at singular roots

C. T. Kelley.
Math. Comp. 47 (1986), 609-623
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MathSciNet review: 856706

Rates of convergence of Gauss, Lobatto, and Radau integration rules for singular integrands

Philip Rabinowitz.
Math. Comp. 47 (1986), 625-638
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MathSciNet review: 856707

On computing Gauss-Kronrod quadrature formulae

Franca Caliò, Walter Gautschi and Elena Marchetti.
Math. Comp. 47 (1986), 639-650, S57
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MathSciNet review: 856708

An estimate of goodness of cubatures for the unit circle in $R^{2}$

J. I. Maeztu.
Math. Comp. 47 (1986), 651-658
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MathSciNet review: 856709

On gamma function inequalities

Joaquin Bustoz and Mourad E. H. Ismail.
Math. Comp. 47 (1986), 659-667
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MathSciNet review: 856710

Properties of the polynomials associated with the Jacobi polynomials

S. Lewanowicz.
Math. Comp. 47 (1986), 669-682
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MathSciNet review: 856711

A double integral containing the modified Bessel function: asymptotics and computation

N. M. Temme.
Math. Comp. 47 (1986), 683-691
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MathSciNet review: 856712

Number-theoretic transforms of prescribed length

R. Creutzburg and M. Tasche.
Math. Comp. 47 (1986), 693-701
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MathSciNet review: 856713

The primality of $R1031$

H. C. Williams and Harvey Dubner.
Math. Comp. 47 (1986), 703-711
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MathSciNet review: 856714

Products of prime powers in binary recurrence sequences. I. The hyperbolic case, with an application to the generalized Ramanujan-Nagell equation

A. Pethö and B. M. M. de Weger.
Math. Comp. 47 (1986), 713-727
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MathSciNet review: 856715

Products of prime powers in binary recurrence sequences. II. The elliptic case, with an application to a mixed quadratic-exponential equation

B. M. M. de Weger.
Math. Comp. 47 (1986), 729-739
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MathSciNet review: 856716

Some remarks on Cohen-Lenstra heuristics

Lawrence C. Washington.
Math. Comp. 47 (1986), 741-747
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MathSciNet review: 856717

Reviews and Descriptions of Tables and Books

Math. Comp. 47 (1986), 749-766
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Table erratum: A table of series and products [Prentice-Hall, Englewood Cliffs, N.J., 1975] by E. R. Hansen

H. van Haeringen and L. P. Kok.
Math. Comp. 47 (1986), 767
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MathSciNet review: 856718

Table erratum: Table of integrals, series and products [Academic Press, New York, 1980; MR0582453 (81g:33001)] by I. S. Gradshteĭn and I. M. Ryzhik

G. Solt.
Math. Comp. 47 (1986), 768
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MathSciNet review: 856719

Corrigendum: “Equivalent forms of multistep formulas” [Math. Comp. 33 (1979), no. 148, 1229–1250; MR0537967 (80j:65027)]

R. D. Skeel.
Math. Comp. 47 (1986), 769
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MathSciNet review: 856720

Indices

Math. Comp. 47 (1986), 771-790
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