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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
March 2009
Paperback
9780521102834
    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

    March 2009
    Paperback
    9780521102834
    572 pages
    229 × 152 × 32 mm
    0.83kg
    21 b/w illus.
    Available

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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.
      • Show more

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

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