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Multidimensional Weakly Singular Integral Equations

  • Authors
  • Gennadi¬†Vainikko

Part of the Lecture Notes in Mathematics book series (LNM, volume 1549)

Table of contents

  1. Front Matter
    Pages I-XI
  2. Gennadi Vainikko
    Pages 10-23
  3. Gennadi Vainikko
    Pages 24-50
  4. Gennadi Vainikko
    Pages 51-59
  5. Gennadi Vainikko
    Pages 94-111
  6. Gennadi Vainikko
    Pages 112-136
  7. Gennadi Vainikko
    Pages 137-144
  8. Back Matter
    Pages 145-159

About this book

Introduction

The final aim of the book is to construct effective discretization methods to solve multidimensional weakly singular integral equations of the second kind on a region of Rn e.g. equations arising in the radiation transfer theory. To this end, the smoothness of the solution is examined proposing sharp estimates of the growth of the derivatives of the solution near the boundary G. The superconvergence effect of collocation methods at the collocation points is established. This is a book for graduate students and researchers in the fields of analysis, integral equations, mathematical physics and numerical methods. No special knowledge beyond standard undergraduate courses is assumed.

Keywords

Derivative Integral Equations Integral equation Numerical Solution Smooth function cubature numerical methods

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0088979
  • Copyright Information Springer-Verlag Berlin Heidelberg 1993
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-56878-0
  • Online ISBN 978-3-540-47773-0
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site