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Numerical Solution of Integral Equations of the Second Kind, Hardcover by Atk...
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Specificaties
- Objectstaat
- Book Title
- Numerical Solution of Integral Equations of the Second Kind
- ISBN
- 9780521583916
- Subject Area
- Mathematics
- Publication Name
- Numerical Solution of Integral Equations of the Second Kind
- Publisher
- Cambridge University Press
- Item Length
- 9.3 in
- Subject
- Functional Analysis, Mathematical Analysis
- Publication Year
- 1997
- Series
- Cambridge Monographs on Applied and Computational Mathematics Ser.
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 1.6 in
- Item Weight
- 35.8 Oz
- Item Width
- 6.3 in
- Number of Pages
- 572 Pages
Over dit product
Product Identifiers
Publisher
Cambridge University Press
ISBN-10
0521583918
ISBN-13
9780521583916
eBay Product ID (ePID)
1027000
Product Key Features
Number of Pages
572 Pages
Publication Name
Numerical Solution of Integral Equations of the Second Kind
Language
English
Subject
Functional Analysis, Mathematical Analysis
Publication Year
1997
Type
Textbook
Subject Area
Mathematics
Series
Cambridge Monographs on Applied and Computational Mathematics Ser.
Format
Hardcover
Dimensions
Item Height
1.6 in
Item Weight
35.8 Oz
Item Length
9.3 in
Item Width
6.3 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
96-045961
Dewey Edition
21
TitleLeading
The
Reviews
' 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, ' 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
Series Volume Number
Series Number 4
Illustrated
Yes
Dewey Decimal
515.45
Table Of Content
Preface; 1. A brief discussion of integral equations; 2. Degenerate kernel methods; 3. Projection methods; 4. The Nystrom method; 5. Solving multivariable integral equations; 6. Iteration methods; 7. Boundary integral equations on a smooth planar boundary; 8. Boundary integral equations on a piecewise smooth planar boundary; 9. Boundary integral equations in three dimensions; Discussion of the literature; Appendix; Bibliography; Index.
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., 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., 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 Nystr m 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.
LC Classification Number
QA431 .A837 1997
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