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.

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Bibliographic Information

Book Title: Multidimensional Weakly Singular Integral Equations
Authors: Gennadi Vainikko
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/BFb0088979
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1993
Softcover ISBN: 978-3-540-56878-0Published: 29 July 1993
eBook ISBN: 978-3-540-47773-0Published: 15 November 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XII, 168
Topics: Analysis, Numerical Analysis

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Table of contents (8 chapters)

Front Matter

Back Matter

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