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The Numerical Solution of Integral Equations of the Second Kind by Kendall E. Atkinson
The Numerical Solution of Integral Equations of the Second Kind by Kendall E. Atkinson
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The Numerical Solution of Integral Equations of the Second Kind

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Description

This book provides an extensive introduction to the numerical solution of a large class of integral equations. The initial chapters provide a general framework for the numerical analysis of Fredholm integral equations of the second kind, covering degenerate kernel, projection and Nystrom methods. Additional discussions of multivariable integral equations and iteration methods update the reader on the present state of the art in this area. The final chapters focus on the numerical solution of boundary integral equation (BIE) reformulations of Laplace's equation, in both two and three dimensions. Two chapters are devoted to planar BIE problems, which include both existing methods and remaining questions. Practical problems for BIE such as the set up and solution of the discretised BIE are also discussed. Each chapter concludes with a discussion of the literature and a large bibliography serves as an extended resource for students and researchers needing more information on solving particular integral equations.
Release date Australia
March 12th, 2009
Audience
  • Professional & Vocational
Illustrations
21 Line drawings, unspecified
Pages
572
Dimensions
152x229x32
ISBN-13
9780521102834
Product ID
2906278

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