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...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2015
|
| Series: | Cambridge monographs on applied and computational mathematics
28 |
| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | 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 |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (xiii, 536 pages) |
| ISBN: | 9781316216637 |
| DOI: | 10.1017/CBO9781316216637 |
Staff View
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| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 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 | ||
| 650 | 4 | |a Fredholm equations | |
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| id | DE-604.BV043940207 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:13Z |
| institution | BVB |
| isbn | 9781316216637 |
| language | English |
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| spelling | Chen, Zhongying 1946- Verfasser aut Multiscale methods for Fredholm integral equations Zhongying Chen, Charles A. Micchelli, Yuesheng Xu Cambridge Cambridge University Press 2015 1 online resource (xiii, 536 pages) txt rdacontent c rdamedia cr rdacarrier Cambridge monographs on applied and computational mathematics 28 Title from publisher's bibliographic system (viewed on 05 Oct 2015) 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 Fredholm equations Integral equations Mehrskalenmodell (DE-588)7600619-0 gnd rswk-swf Fredholm-Integralgleichung (DE-588)4155261-1 gnd rswk-swf Fredholm-Integralgleichung (DE-588)4155261-1 s Mehrskalenmodell (DE-588)7600619-0 s 1\p DE-604 Micchelli, Charles A. 1924- Sonstige (DE-588)1120439086 oth Xu, Yuesheng Sonstige oth Erscheint auch als Druckausgabe 978-1-107-10347-4 https://doi.org/10.1017/CBO9781316216637 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Chen, Zhongying 1946- Multiscale methods for Fredholm integral equations Fredholm equations Integral equations Mehrskalenmodell (DE-588)7600619-0 gnd Fredholm-Integralgleichung (DE-588)4155261-1 gnd |
| subject_GND | (DE-588)7600619-0 (DE-588)4155261-1 |
| 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 |
| topic | Fredholm equations Integral equations Mehrskalenmodell (DE-588)7600619-0 gnd Fredholm-Integralgleichung (DE-588)4155261-1 gnd |
| topic_facet | Fredholm equations Integral equations Mehrskalenmodell Fredholm-Integralgleichung |
| url | https://doi.org/10.1017/CBO9781316216637 |
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