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Boundary Integral Equations~tqw~ darksiderg

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Boundary Integral Equations
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Type.................: Ebook
Part Size............: 6,294,775 bytes




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Posted by............: ~tqw~

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Release Notes
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This book is devoted to the basic mathematical properties of solutions to
boundary integral equations and presents a systematic approach to the
variational methods for the boundary integral equations arising in elasticity,
fluid mechanics, and acoustic scattering theory. It may also serve as the
mathematical foundation of the boundary element methods. The latter have
recently become extremely popular and efficient computational tools in
applications. The authors are well known for their fundamental work on boundary
integral equations and related topics. This book is a major scholarly
contribution to the modern theory of boundary integral equations and should be
accessible and useful to a large community of mathematical analysts, applied
mathematicians, engineers and scientists.

Written for:

Graduate students, and professors in mathematical analysis and applied
mathematics, engineering and sciences; applied mathematicians, scientists and
engineers engaging in computational mathematics and mechanics; researchers in
boundary integral equations, boundary elements and related topics.


Table of Contents

Preface VII
1. Introduction 1
2. Boundary Integral Equations 25
3. Representation Formulae 95
4. Sobolev Spaces 159
5. Variational Formulations 195
6. Introduction to Pseudodifferential Operators 303
7. Pseudodifferential Operators as Integral Operators 353
8. Pseudodifferential and Boundary Integral Operators 413
9. Integral Equations on Gamma is a element of R3 Recast as Pseudodifferential
Equations 493
10. Boundary Integral Equations on Curves in R2 549
A. Differential Operators in Local Coordinates with Minimal Differentiability
593
References 599
Index 613

Product Details

* ISBN: 3-540-15284-2
* ISBN-13: 978-3-540-15284-2
* Format: Paperback, 640pp
* Publisher: Springer
* Pub. Date: Aug. 03, 2008

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