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Computational Methods for Integral Equations

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ISBN-10: 0521357969

ISBN-13: 9780521357968

Edition: 2008

Authors: L. M. Delves, J. L. Mohamed

List price: $53.95
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Description:

Integral equations form an important class of problems, arising frequently in engineering, and in mathematical and scientific analysis. This textbook provides an up-to-date and readable account of techniques for their numerical solution. The authors devote their attention primarily to efficient techniques using high order approximations, taking particular account of situations where singularities are present. The classes of problems which arise frequently in practice, Fredholm of the first and second kind and eigenvalue problems, are dealt with in depth. Some knowledge of numerical methods and linear algebra is assumed, but the book includes introductory sections on numerical quadrature and…    
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Book details

List price: $53.95
Copyright year: 2008
Publisher: Cambridge University Press
Publication date: 3/31/1988
Binding: Paperback
Pages: 392
Size: 5.98" wide x 9.02" long x 0.87" tall
Weight: 1.254
Language: English

Preface
Introduction
The space L2(a,b)
Numerical quadrature
Introduction to the theory of linear integral equations of the second kind
The Nystrom (quadrature) method for Fredholm equations of the second kind
Quadrature methods for Volterra equations of the second kind
Eigenvalue problems and the Fredholm alternative
Expansion methods for Freholm equations of the second kind
Numerical techniques for expansion methods
Analysis of the Galerkin method with orthogonal basis
Numerical performance of algorithms for Fredholm equations of the second kind
Singular integral equations
Integral equations of the first kind
Integro-differential equations
Appendix
References
Index