Multidimensional Weakly Singular Integral Equations: 1549 (Lecture Notes in Mathematics, 1549) - Softcover

Vainikko, Gennadi

 
9783540568780: Multidimensional Weakly Singular Integral Equations: 1549 (Lecture Notes in Mathematics, 1549)

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.

"synopsis" may belong to another edition of this title.

Synopsis

The aim of this monograph is to construct effective discretization methods to solve multidimensional, weakly singular integral equations arising in the radiation transfer theory. No special knowledge of integral equations is assumed beyond that to be found in standard undergraduate courses.

"About this title" may belong to another edition of this title.