Asymptotic expansions for product integration-Reference-Cited by-同舟云学术

Asymptotic expansions for product integration

Published:1973 Issue:122 Volume:27 Page:295-306
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

de Hoog Frank,Weiss Richard

Abstract

A generalized Euler-Maclaurin sum formula is established for product integration based on piecewise Lagrangian interpolation. The integrands considered may have algebraic or logarithmic singularities. The results are used to obtain accurate convergence rates of numerical methods for Fredholm and Volterra integral equations with singular kernels.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1973-27-122/S0025-5718-1973-0329207-0/S0025-5718-1973-0329207-0.pdf

Reference6 articles.

1. The numerical solution of Fredholm integral equations of the second kind;Atkinson, Kendall E.;SIAM J. Numer. Anal.,1967

2. Asymptotic expansions for integration formulas in one or more dimensions;Baker, Christopher T. H.;SIAM J. Numer. Anal.,1971

3. Numerial methods for Volterra integral equations with singular kernels;Linz, Peter;SIAM J. Numer. Anal.,1969

4. Numerical quadrature and asymptotic expansions;Lyness, J. N.;Math. Comp.,1967

5. Further asymptotic expansions for the error functional;Ninham, B. W.;Math. Comp.,1969

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