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Computational Methods for Integral Equations - L. M. Delves

Computational Methods for Integral Equations


Published: 30th May 1988
RRP $74.95
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Integral equations form an important class of problems, arising frequently in engineering, and in mathematical and scientific analysis. This textbook provides a 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. Volterra equations, although attractive to treat theoretically, arise less often in practical problems and so have been given less emphasis. Some knowledge of numerical methods and linear algebra is assumed, but the book includes introductory sections on numerical quadrature and function space concepts. This book should serve as a valuable text for final year undergraduate or postgraduate courses, and as an introduction or reference work for practising computational mathematicians, scientists and engineers.

Taken from the hardback review: 'The material within the book is clear, readable, and well-presented and the task of reading the book proved to be no task at all. Delves and Mohamed's enjoyment of the topic, tempered by their concern for the user's needs, is evident on every page.' Applied Mathematical Modelling

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
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521357968
ISBN-10: 0521357969
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 392
Published: 30th May 1988
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 2.2
Weight (kg): 0.57