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Multiscale Methods for Fredholm Integral Equations.
・ISBN 978-1-107-10347-4 hard GB£ 173.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-316-21663-7
| 著者・編者 | Chen, Zhongying / Micchelli, Charles A. / Xu, Yuesheng, |
|---|---|
| シリーズ | Cambridge Monographs on Applied and Computational Mathematics |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2015 |
| ページ数 | 552 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-9256＞ |
解説
The recent appearance of wavelets as a new computational tool in applied mathematics has given a new impetus to the field of numerical analysis of Fredholm integral equations. This book gives an account of the state of the art in the study of fast multiscale methods for solving these equations based on wavelets. The authors begin by introducing essential concepts and describing conventional numerical methods. They then develop fast algorithms and apply these to solving linear, nonlinear Fredholm integral equations of the second kind, ill-posed integral equations of the first kind and eigen-problems of compact integral operators. Theorems of functional analysis used throughout the book are summarised in the appendix. The book is an essential reference for practitioners wishing to use the new techniques. It may also be used as a text, with the first five chapters forming the basis of a one-semester course for advanced undergraduates or beginning graduates.