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The Numerical Solution of Integral Equations of the Second Kind

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The Numerical Solution of Integral Equations of the Second Kind

The Numerical Solution of Integral Equations of the Second Kind

Kendall E. Atkinson, University of Iowa
January 2011
This ISBN is for an eBook version which is distributed on our behalf by a third party.
Adobe eBook Reader
9780511836022
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    Description

    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 Nyström 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.

    Product details

    January 2011
    Adobe eBook Reader
    9780511836022
    0 pages
    0kg
    21 b/w illus.
    This ISBN is for an eBook version which is distributed on our behalf by a third party.

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    Contents

    Table of Contents

    • 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.
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    About the authors
      Author
    • Kendall E. Atkinson , University of Iowa

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