Numerical analysis of wavelet methods:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam [u.a.]
Elsevier
2003
|
| Edition: | 1. edition |
| Series: | Studies in Mathematics and Its Applications
32 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | XVIII, 336 Seiten Ill., graph. Darst. |
| ISBN: | 0444511245 |
Staff View
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| 245 | 1 | 0 | |a Numerical analysis of wavelet methods |c Albert Cohen |
| 250 | |a 1. edition | ||
| 264 | 1 | |a Amsterdam [u.a.] |b Elsevier |c 2003 | |
| 300 | |a XVIII, 336 Seiten |b Ill., graph. Darst. | ||
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Record in the Search Index
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| adam_text | Contents
Introduction xi
Notations xvii
1 Basic examples 1
1.1 Introduction 1
1.2 The Haar system 2
1.3 The Schauder hierarchical basis 10
1.4 Multivariate constructions 16
1.5 Adaptive approximation 22
1.6 Multilevel preconditioning 33
1.7 Conclusions 40
1.8 Historical notes 41
2 Multiresolution approximation 43
2.1 Introduction 43
2.2 Multiresolution analysis 45
2.3 Refinable functions 57
2.4 Subdivision schemes 63
2.5 Computing with refinable functions 70
2.6 Wavelets and multiscale algorithms 74
2.7 Smoothness analysis 83
2.8 Polynomial exactness 89
2.9 Duality, orthonormality and interpolation 94
2.10 Interpolatory and orthonormal wavelets 99
2.11 Wavelets and splines 107
2.12 Bounded domains and boundary conditions 120
2.13 Point values, cell averages, finite elements 131
2.14 Conclusions 150
2.15 Historical notes 151
ix
x CONTENTS
3 Approximation and smoothness 155
3.1 Introduction 155
3.2 Function spaces 159
3.3 Direct estimates 165
3.4 Inverse estimates 171
3.5 Interpolation and approximation spaces 174
3.6 Characterization of smoothness classes 182
3.7 I^ unstable approximation and 0 p 1 187
3.8 Negative smoothness and Lp spaces 199
3.9 Bounded domains 208
3.10 Boundary conditions 216
3.11 Multilevel preconditioning 226
3.12 Conclusions 239
3.13 Historical notes 240
4 Adaptivity 243
4.1 Introduction 243
4.2 Nonlinear approximation in Besov spaces 248
4.3 Nonlinear wavelet approximation in Lp 254
4.4 Adaptive finite element approximation 262
4.5 Other types of nonlinear approximations 267
4.6 Adaptive approximation of operators 276
4.7 Nonlinear approximation and PDE s 289
4.8 Adaptive multiscale processing 296
4.9 Adaptive space refinement 306
4.10 Conclusions 317
4.11 Historical notes 318
References 321
Index 335
|
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| isbn | 0444511245 |
| language | English |
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| physical | XVIII, 336 Seiten Ill., graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
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| publisher | Elsevier |
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| series | Studies in Mathematics and Its Applications |
| series2 | Studies in Mathematics and Its Applications |
| spelling | Cohen, Albert Verfasser aut Numerical analysis of wavelet methods Albert Cohen 1. edition Amsterdam [u.a.] Elsevier 2003 XVIII, 336 Seiten Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Studies in Mathematics and Its Applications 32 Includes bibliographical references and index Numerical analysis Wavelets (Mathematics) Wavelet (DE-588)4215427-3 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Wavelet (DE-588)4215427-3 s DE-604 Numerisches Verfahren (DE-588)4128130-5 s Studies in Mathematics and Its Applications 32 (DE-604)BV000000646 32 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010300467&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cohen, Albert Numerical analysis of wavelet methods Studies in Mathematics and Its Applications Numerical analysis Wavelets (Mathematics) Wavelet (DE-588)4215427-3 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4215427-3 (DE-588)4128130-5 |
| title | Numerical analysis of wavelet methods |
| title_auth | Numerical analysis of wavelet methods |
| title_exact_search | Numerical analysis of wavelet methods |
| title_full | Numerical analysis of wavelet methods Albert Cohen |
| title_fullStr | Numerical analysis of wavelet methods Albert Cohen |
| title_full_unstemmed | Numerical analysis of wavelet methods Albert Cohen |
| title_short | Numerical analysis of wavelet methods |
| title_sort | numerical analysis of wavelet methods |
| topic | Numerical analysis Wavelets (Mathematics) Wavelet (DE-588)4215427-3 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Numerical analysis Wavelets (Mathematics) Wavelet Numerisches Verfahren |
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