## Contents of Volume 47, Number 176

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- Convergence of the vortex filament method
- Claude Greengard PDF
- Math. Comp.
**47**(1986), 387-398

- The convergence of multilevel methods for solving finite-element equations in the presence of singularities
- Harry Yserentant PDF
- Math. Comp.
**47**(1986), 399-409

- Difference schemes for degenerate parabolic equations
- E. A. Socolovsky PDF
- Math. Comp.
**47**(1986), 411-420

- Well-posedness of one-way wave equations and absorbing boundary conditions
- Lloyd N. Trefethen and Laurence Halpern PDF
- Math. Comp.
**47**(1986), 421-435

- Absorbing boundary conditions for difference approximations to the multidimensional wave equation
- Robert L. Higdon PDF
- Math. Comp.
**47**(1986), 437-459

- What is the complexity of related elliptic, parabolic, and hyperbolic problems?
- Arthur G. Werschulz PDF
- Math. Comp.
**47**(1986), 461-472

- Stability with large step sizes for multistep discretizations of stiff ordinary differential equations
- George Majda PDF
- Math. Comp.
**47**(1986), 473-502

- Construction of variable-stepsize multistep formulas
- Robert D. Skeel PDF
- Math. Comp.
**47**(1986), 503-510

- The numerical solution of second-order boundary value problems on nonuniform meshes
- Thomas A. Manteuffel and Andrew B. White PDF
- Math. Comp.
**47**(1986), 511-535

- Supra-convergent schemes on irregular grids
- H.-O. Kreiss, T. A. Manteuffel, B. Swartz, B. Wendroff and A. B. White PDF
- Math. Comp.
**47**(1986), 537-554

- A uniformly accurate finite-element method for a singularly perturbed one-dimensional reaction-diffusion problem
- Eugene O’Riordan and Martin Stynes PDF
- Math. Comp.
**47**(1986), 555-570

- Symmetrization of the sinc-Galerkin method for boundary value problems
- John Lund PDF
- Math. Comp.
**47**(1986), 571-588

- Integral equations on the half-line: a modified finite-section approximation
- I. H. Sloan and A. Spence PDF
- Math. Comp.
**47**(1986), 589-595

- A spectral Galerkin method for a boundary integral equation
- W. McLean PDF
- Math. Comp.
**47**(1986), 597-607

- A Shamanskiĭ-like acceleration scheme for nonlinear equations at singular roots
- C. T. Kelley PDF
- Math. Comp.
**47**(1986), 609-623

- Rates of convergence of Gauss, Lobatto, and Radau integration rules for singular integrands
- Philip Rabinowitz PDF
- Math. Comp.
**47**(1986), 625-638

- On computing Gauss-Kronrod quadrature formulae
- Franca Caliò, Walter Gautschi and Elena Marchetti PDF
- Math. Comp.
**47**(1986), 639-650

- An estimate of goodness of cubatures for the unit circle in $\textbf {R}^ 2$
- J. I. Maeztu PDF
- Math. Comp.
**47**(1986), 651-658

- On gamma function inequalities
- Joaquin Bustoz and Mourad E. H. Ismail PDF
- Math. Comp.
**47**(1986), 659-667

- Properties of the polynomials associated with the Jacobi polynomials
- S. Lewanowicz PDF
- Math. Comp.
**47**(1986), 669-682

- A double integral containing the modified Bessel function: asymptotics and computation
- N. M. Temme PDF
- Math. Comp.
**47**(1986), 683-691

- Number-theoretic transforms of prescribed length
- R. Creutzburg and M. Tasche PDF
- Math. Comp.
**47**(1986), 693-701

- The primality of $R1031$
- H. C. Williams and Harvey Dubner PDF
- Math. Comp.
**47**(1986), 703-711

- 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 PDF
- Math. Comp.
**47**(1986), 713-727

- 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 PDF
- Math. Comp.
**47**(1986), 729-739

- Some remarks on Cohen-Lenstra heuristics
- Lawrence C. Washington PDF
- Math. Comp.
**47**(1986), 741-747

- Reviews and Descriptions of Tables and Books
- Math. Comp.
**47**(1986), 749-766

- 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 PDF
- Math. Comp.
**47**(1986), 767

- 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 PDF
- Math. Comp.
**47**(1986), 768