Galerkin methods for singular integral equations-Reference-Cited by-同舟云学术

Galerkin methods for singular integral equations

Published:1981 Issue:153 Volume:36 Page:193-205
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Thomas K. S.

Abstract

The approximate solution of a singular integral equation by Galerkin’s method is studied. We discuss the theoretical aspects of such problems and give error bounds for the approximate solution.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1981-36-153/S0025-5718-1981-0595052-9/S0025-5718-1981-0595052-9.pdf

Reference15 articles.

1. Good approximation by splines with variable knots;de Boor, Carl,1973

2. Splines (with optimal knots) are better;Burchard, Hermann G.;Applicable Anal.,1973

3. T. Carleman, "Sur la résolution de certaines équations intégrales," Ark. Mat. Astronom. Fys., v. 16, 1921, pp. 1-19.

4. Monographies d'Informatique, No. 4;Cherruault, Y.,1968

5. D. S. Dodson, Optimal Order Approximation by Polynomial Spline Functions, Ph. D. Thesis, Comp. Sci. Dept., Purdue Univ., Lafayette, Ind., 1972.

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