Multidimensional Weakly Singular Integral Equations

Gennadi Vainikko

ISBN 10: 3540568786 / ISBN 13: 9783540568780

Published by Springer Berlin Heidelberg Jul 1993, 1993

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware -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. 180 pp. Englisch. Seller Inventory # 9783540568780

Bibliographic Details

Title: Multidimensional Weakly Singular Integral ...

Publisher: Springer Berlin Heidelberg Jul 1993

Publication Date: 1993

Binding: Taschenbuch

Condition: Neu

About this title

Synopsis:

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.