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Multidimensional Weakly Singular Integral Equations

Multidimensional Weakly Singular Integral Equations

Paperback

Series: Lecture Notes in Mathematics, Book 1549

CalculusGeneral Mathematics

ISBN10: 3540568786
ISBN13: 9783540568780
Publisher: Springer Nature
Published: Jul 29 1993
Pages: 168
Weight: 0.57
Height: 0.38 Width: 6.14 Depth: 9.21
Language: English
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.

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