Multidimensional Weakly Singular Integral Equations

Front Cover
Springer, Sep 10, 1993 - Mathematics - 159 pages
0 Reviews
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.

From inside the book

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

SOME PROBLEMS LEADING TO MULTIDIMENSIONAL WEAKLY
1
PRELIMINARIES
10
SMOOTHNESS OF THE SOLUTION
24
Copyright

8 other sections not shown

Other editions - View all

Common terms and phrases

Bibliographic information