Multidimensional Weakly Singular Integral Equations

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Multidimensional Weakly Singular Integral Equations

Multidimensional Weakly Singular Integral Equations
Author :
Publisher : Springer
Total Pages : 169
Release :
ISBN-10 : 9783540477730
ISBN-13 : 354047773X
Rating : 4/5 (73X Downloads)

Book Synopsis Multidimensional Weakly Singular Integral Equations by : Gennadi Vainikko

Download or read book Multidimensional Weakly Singular Integral Equations written by Gennadi Vainikko and published by Springer. This book was released on 2006-11-15 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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