Multidimensional weakly singular integral equations
By: Gennadi Vainikko.
Series: Lecture notes in mathematics ;; 1549; Lecture notes in mathematics (Springer-Verlag) ;; 1549.
Publisher: Springer-Verlag
Published: 1993
Place of publication: Berlin; New York
Language: eng
Number of pages: 158
Subjects: Integral equations -- Asymptotic theory.
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.
Notes: Includes bibliographical references and index.