The Numerical Solution of Integral Equations of the Second Kind

by Kendall E. Atkinson

Overview

A comprehensive, up-to-date, and accessible introduction to the numerical solution of a large class of integral equations, this book builds an important foundation for the numerical analysis of these equations. It provides a general framework for the degenerate kernel, projection, and Nyström methods and includes an introduction to the numerical solution of boundary integral equations (also known as boundary element methods). It is an excellent resource for graduate students and researchers trying to solve integral equation problems and for engineers using boundary element methods.

Product Details

ISBN-13:	9780521102834
Publisher:	Cambridge University Press
Publication date:	03/12/2009
Series:	Cambridge Monographs on Applied and Computational Mathematics , #4
Edition description:	Reissue
Pages:	572
Product dimensions:	5.98(w) x 9.02(h) x 1.26(d)

Table of Contents

Preface; 1. A brief discussion of integral equations; 2. Degenerate kernel methods; 3. Projection methods; 4. The Nystrom method; 5. Solving multivariable integral equations; 6. Iteration methods; 7. Boundary integral equations on a smooth planar boundary; 8. Boundary integral equations on a piecewise smooth planar boundary; 9. Boundary integral equations in three dimensions; Discussion of the literature; Appendix; Bibliography; Index.