Spectral methods and their applications:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Sinbgapore [u.a.]
World Scient.
1998
|
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 349 S. |
| ISBN: | 9810233337 |
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MARC
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Record in the Search Index
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| adam_text | CONTENTS
PREFACE v
CHAPTER 1. INTRODUCTION 1
CHAPTER 2. ORTHOGONAL APPROXIMATIONS IN SOBOLEV
SPACES 10
2.1 Preliminaries 10
2.2 Fourier Approximations 16
2.3 Orthogonal Systems of Polynomials in a Finite Interval 24
2.4 Legendre Approximations 31
2.5 Chebyshev Approximations 43
2.6 Some Orthogonal Approximations in Infinite Intervals 56
2.7 Filterings and Recovering the Spectral Accuracy 66
CHAPTER 3. STABILITY AND CONVERGENCE 82
3.1 Stability and Convergence for Linear Problems 82
3.2 Generalized Stability for Nonlinear Problems 86
3.3 Initial-Value Problems 94
CHAPTER 4. SPECTRAL METHODS AND PSEUDOSPECTRAL METH¬
ODS 100
4.1 Fourier Spectral Methods and Fourier Pseudospectral Methods .... 100
4.2 Legendre Spectral Methods and Legendre Pseudospectral Methods . . 120
4.3 Chebyshev Spectral Methods and Chebyshev Pseudospectral Methods 143
4.4 Spectral Penalty Methods 152
4.5 Spectral Vanishing Viscosity Methods 164
4.6 Spectral Approximations of Isolated Solutions 181
vii
viii Contents
CHAPTER 5. SPECTRAL METHODS FOR MULTI-DIMENSIONAL
AND HIGH ORDER PROBLEMS 188
5.1 Orthogonal Approximations in Several Dimensions 188
5.2 Spectral Methods for Multi-Dimensional Nonlinear Systems 196
5.3 Spectral Methods for Nonlinear High Order Equations 210
5.4 Spectral Domain Decomposition Methods 231
5.5 Spectral Multigrid Methods 248
CHAPTER 6. MIXED SPECTRAL METHODS 257
6.1 Mixed Fourier-Legendre Approximations 257
6.2 Mixed Fourier-Chebyshev Approximations 265
6.3 Applications 273
CHAPTER 7. COMBINED SPECTRAL METHODS 280
7.1 Some Basic Results in Finite Element Methods 280
7.2 Combined Fourier-Finite Element Approximations 284
7.3 Combined Legendre-Finite Element Approximations 289
7.4 Combined Chebyshev-Finite Element Approximations 295
7.5 Applications 300
CHAPTER 8. SPECTRAL METHODS ON THE SPHERICAL SUR¬
FACE 313
8.1 Spectral Approximation on the Spherical Surface 313
8.2 Pseudospectral Approximation on the Spherical Surface 318
8.3 Applications 322
References 331
|
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| indexdate | 2024-07-09T22:24:53Z |
| institution | BVB |
| isbn | 9810233337 |
| language | English |
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| physical | VIII, 349 S. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
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| publisher | World Scient. |
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| spelling | Guo, Ben-Yu 1942- Verfasser (DE-588)173226248 aut Spectral methods and their applications Guo Ben-Yu Sinbgapore [u.a.] World Scient. 1998 VIII, 349 S. txt rdacontent n rdamedia nc rdacarrier HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019643263&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Guo, Ben-Yu 1942- Spectral methods and their applications |
| title | Spectral methods and their applications |
| title_auth | Spectral methods and their applications |
| title_exact_search | Spectral methods and their applications |
| title_full | Spectral methods and their applications Guo Ben-Yu |
| title_fullStr | Spectral methods and their applications Guo Ben-Yu |
| title_full_unstemmed | Spectral methods and their applications Guo Ben-Yu |
| title_short | Spectral methods and their applications |
| title_sort | spectral methods and their applications |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019643263&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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