Multidimensional Weakly Singular Integral Equations (Lecture Notes in Mathematics #1549) (Paperback)

Multidimensional Weakly Singular Integral Equations (Lecture Notes in Mathematics #1549) By Gennadi Vainikko Cover Image

Multidimensional Weakly Singular Integral Equations (Lecture Notes in Mathematics #1549) (Paperback)

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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.
Product Details ISBN: 9783540568780
ISBN-10: 3540568786
Publisher: Springer
Publication Date: July 29th, 1993
Pages: 168
Language: English
Series: Lecture Notes in Mathematics