The Numerical Solution of Integral Equations of the Second Kind: 4 (Cambridge Monographs on Applied and Computational Mathematics, Series Number 4) - Softcover

Atkinson, Kendall

Softcover

ISBN 10: 0521102839 ISBN 13: 9780521102834

Publisher: Cambridge University Press, 2009

Synopsis

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.

About this title

Review

'It will become the standard reference in the area.' Zietschrift fur Angwandte Mathematik und Physik

'This outstanding monograph ... represents a major milestone in the list of books on the numerical solution of integral equations ... deserves to be on the shelf of any researcher and graduate student interested in the numerical solution of elliptic boundary-value problems.' H. Brunner, Mathematics Abstracts

'This outstanding monograph represents a major milestone in the list of books on the numerical solution of integral equations deserves to be on the shelf of any researcher and graduate student interested in the numerical solution of elliptic boundary-value problems.' H. Brunner, Mathematics Abstracts

?It will become the standard reference in the area.? Zietschrift fur Angwandte Mathematik und Physik

? This outstanding monograph ? represents a major milestone in the list of books on the numerical solution of integral equations ? deserves to be on the shelf of any researcher and graduate student interested in the numerical solution of elliptic boundary-value problems.? H. Brunner, Mathematics Abstracts

Book Description

This book provides an extensive introduction to the numerical solution of a large class of integral equations. 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.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2009
• Language: English
• ISBN 10: 0521102839
• ISBN 13: 9780521102834
• Binding: Paperback
• Number of pages: 572