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The Numerical Solution of Integral Equations of the Second Kind : Cambridge Monographs on Applied and Computational Mathematics - Kendall E. Atkinson

The Numerical Solution of Integral Equations of the Second Kind

Cambridge Monographs on Applied and Computational Mathematics

Hardcover Published: 28th June 1997
ISBN: 9780521583916
Number Of Pages: 572

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A comprehensive, up-to-date, and accessible introduction to the numerical solution of a large class of integral equations, this book builds an important foundation for the numerical analysis of these equations. It provides a general framework for the degenerate kernel, projection, and Nystrom methods and includes an introduction to the numerical solution of boundary integral equations (also known as boundary element methods). It is an excellent resource for graduate students and researchers trying to solve integral equation problems and for engineers using boundary element methods.

' 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

Preface
A brief Discussion of Integral Equations
Degenerate Kernel Methods
Projection Methods
The Nystrom Method
Solving Multivariable Integral Equations
Iteration Methods
Boundary Integral Equations on a Smooth Planar Boundary
Boundary Integral Equations on a Piecewise Smooth Planar Boundary
Boundary Integral Equations in Three Dimensions
Discussion of Literature
Appendix
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521583916
ISBN-10: 0521583918
Series: Cambridge Monographs on Applied and Computational Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 572
Published: 28th June 1997
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 3.7
Weight (kg): 1.01