The Numerical Solution of Integral Equations of the Second Kind: 4 Reissue Edition
Author(s): Kendall Atkinson (Author)
Publisher: Cambridge University Press
Publication Date: 1 Jun. 2009
Edition: Reissue
Language: English
Print length: 572 pages
ISBN-10: 0521102839
ISBN-13: 9780521102834
Book 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.
Editorial Reviews
Review
? 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
‘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.
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