Multidimensional weakly singular integral equations /
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 shar...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer-Verlag,
[1993]
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1549. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xi, 158 pages) : illustrations. |
| Format: | Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9783540477730 (electronic bk.) 354047773X (electronic bk.) |
| ISSN: | 0075-8434 ; |