Lecture Notes in Mathematics

Vainikko, Gennadi

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.

Details

Published by: Springer

Publication Date: 1993-07-29

Format: Paperback

ISBN-13: 9783540568780

DOI: 10.1007/BFb0088979

Dimensions: 235cm x155cm

Pages: 168