Error bounds for compound quadrature of weakly singular integrals-Reference-Cited by-同舟云学术

Error bounds for compound quadrature of weakly singular integrals

Published:1971 Issue:115 Volume:25 Page:505-520
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Feldstein Alan,Miller Richard K.

Abstract

This paper studies the convergence of numerical quadratures of singular integrands. The singularities are ignored in the sense that whenever a singularity occurs the integrand is redefined to be zero. Several convergence theorems are proved under the assumption that the integrand can be dominated near each singularity by a monotone, integrable function.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1971-25-115/S0025-5718-1971-0297127-4/S0025-5718-1971-0297127-4.pdf

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4. Gaussian integration in the presence of a singularity;Rabinowitz, Philip;SIAM J. Numer. Anal.,1967

5. Numerical quadrature in the presence of a singularity;Gautschi, Walter;SIAM J. Numer. Anal.,1967

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