Multiscale methods for Fredholm integral equations:
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...
Gespeichert in:
| Beteilige Person: | |
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| Weitere beteiligte Personen: | , |
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2015
|
| Schriftenreihe: | Cambridge monographs on applied and computational mathematics
28 |
| Links: | https://doi.org/10.1017/CBO9781316216637 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (xiii, 536 Seiten) |
| ISBN: | 9781316216637 |
Internformat
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| 100 | 1 | |a Chen, Zhongying |d 1946- | |
| 245 | 1 | 0 | |a Multiscale methods for Fredholm integral equations |c Zhongying Chen, Charles A. Micchelli, Yuesheng Xu |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2015 | |
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| 490 | 1 | |a Cambridge monographs on applied and computational mathematics |v 28 | |
| 520 | |a 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. | ||
| 700 | 1 | |a Micchelli, Charles A. | |
| 700 | 1 | |a Xu, Yuesheng | |
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| spelling | Chen, Zhongying 1946- Multiscale methods for Fredholm integral equations Zhongying Chen, Charles A. Micchelli, Yuesheng Xu Cambridge Cambridge University Press 2015 1 Online-Ressource (xiii, 536 Seiten) txt c cr Cambridge monographs on applied and computational mathematics 28 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. Micchelli, Charles A. Xu, Yuesheng Erscheint auch als Druck-Ausgabe 9781107103474 |
| spellingShingle | Chen, Zhongying 1946- Multiscale methods for Fredholm integral equations |
| title | Multiscale methods for Fredholm integral equations |
| title_auth | Multiscale methods for Fredholm integral equations |
| title_exact_search | Multiscale methods for Fredholm integral equations |
| title_full | Multiscale methods for Fredholm integral equations Zhongying Chen, Charles A. Micchelli, Yuesheng Xu |
| title_fullStr | Multiscale methods for Fredholm integral equations Zhongying Chen, Charles A. Micchelli, Yuesheng Xu |
| title_full_unstemmed | Multiscale methods for Fredholm integral equations Zhongying Chen, Charles A. Micchelli, Yuesheng Xu |
| title_short | Multiscale methods for Fredholm integral equations |
| title_sort | multiscale methods for fredholm integral equations |
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