ENGLISH

Multidimensional Weakly Singular Integral Equations

By Gennadi Vainikko (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1993
ISBN
3540568786, 9783540568780
DOI
10.1007/BFb0088979
Language
english
Format
DJVU
Filesize
1 MB (1078759 bytes)
Series
Lecture Notes in Mathematics 1549
Edition
1
Pages
168\173
Library
mexmat
Time added
2014-10-05 02:30:00
Analysis; Numerical Analysis

Description

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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