Subtracting out complex singularities in numerical integration-Reference-Cited by-同舟云学术

Subtracting out complex singularities in numerical integration

Published:1977 Issue:137 Volume:31 Page:223-229
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Lether F. G.

Abstract

This paper is concerned with the numerical approximation of definite integrals over [ − 1 , 1 ] [ - 1,1] , in which the function f to be integrated has isolated singularities near [ − 1 , 1 ] [ - 1,1] . Complex variable techniques are used to study the effectiveness of the method of subtracting out complex singularities.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1977-31-137/S0025-5718-1977-0423768-2/S0025-5718-1977-0423768-2.pdf

Reference6 articles.

1. L. V. KANTOROVITCH, "On approximate calculation of certain types of definite integrals and other applications of the method of selection of the singularities," Mat. Sb., v. 41, 1934, pp. 235-245.

2. Error-bounds for the evaluation of integrals by the Euler-Maclaurin formula and by Gauss-type formulae;McNamee, John;Math. Comp.,1964

3. Applications of Hilbert transform theory to numerical quadrature;Smith, W. E.;Math. Comp.,1969

4. Bounds on the error of Gauss-type quadratures;Stenger, Frank;Numer. Math.,1966

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