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About this book :-
Numerical Solution of Integral Equations written by
K. E. Atkinson, Edit by Michael A. Golberg .
In 1979, Michael A. Golberg edited Volume 18 in this series: Solution Methods for Integral Equations: Theory and Applications. Since that time, there has been an explosive growth in all aspects of the numerical solution of integral equations. By my estimate over 2000 papers on this subject have been published in the last decade, and more than 60 books on theory and applications have appeared. In particular, as can be seen in many of the chapters in this book, integral equation techniques are playing an increas ingly important role in the solution of many scientific and engineering problems. For instance, the boundary element method discussed by Atkinson in Chapter 1 is becoming an equal partner with finite element and finite difference techniques for solving many types of partial differential equations. Obviously, in one volume it would be impossible to present a complete picture of what has taken place in this area during the past ten years. Consequently,
we have chosen a number of subjects in which significant advances have been made that we feel have not been covered in depth in other books. For instance, ten years ago the theory of the numerical solution of Cauchy singular equations was in its infancy. Today, as shown by Golberg and Elliott in Chapters 5 and 6, the theory of polynomial approximations is essentially complete, although many details of practical implementation remain to be worked out.
Book Detail :-
Title: Numerical Solution of Integral Equations
Edition:
Author(s): K. E. Atkinson, Edit by Michael A. Golberg
Publisher: Springer US
Series: Mathematical Concepts and Methods in Science and Engineering
Year: 1990
Pages: 431
Type: PDF
Language: English
ISBN: 0306432625,9780306432620
Country: US
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About Author :-
The author Kendall Atkinson , Department of Computer Science, Department of Mathematics, University of Iowa, US
He received his B.S. in 1961 from Iowa State University and his M.S. in 1963 and Ph.D. in 1966 from the University of Wisconsin.
He recipient Collegiate Teaching Award of the University of Iowa in 1995 and is a member of the Society of Industrial and Applied Mathematics, the American Mathematical Society, and the Australian Mathematical Society. His research interests include numerical solution of integral equations, boundary integral equation methods and multivariate approximation, interpolation, and quadrature.
Other famous books of similar Author :-
Here is list all books avaliable of this author.
• Download PDF Elementary Numerical Analysis (3E) by Kendall Atkinson, Weimin Han
• Download PDF Theoretical Numerical Analysis (3E) by Kendall Atkinson, Weimin Han
• Download PDF Numerical Solution of Integral Equations by K. E. Atkinson, Edit by Michael A. Golberg
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Book Contents :-
Numerical Solution of Integral Equations written by
K. E. Atkinson, Edit by Michael A. Golberg
cover the following topics.
1. A survey of Boundary Integral Equation Methods for the Numerical Solution of Laplace's Equation in Three Dimensions (K. E. Atkinson)
2. Superconvergence (IL Sloan)
3. Perturbed Projection Methods for Various Classes of Operaor and Integral Equations (M. A. Golberg)
4. Numerical Solution of Parallel Processors of Two Point Boundary Value Problems of Astrodynamics (G. Miel)
5. Introduction to the Numerical Solution of Cauchy Singular Integral Equations (M. A. Golberg)
6. Convergence Theorems for Singular Integral Equations (D. Elliott)
7. Planing Surfaces (E. O. Tuck)
8. Abel Integral Equaitons (R. S. Anderssen and F. R. de Hoog)
Index
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