An introduction to the numerical analysis of spectral methods:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English French |
| Veröffentlicht: |
Berlin u.a.
Springer
1989
|
| Schriftenreihe: | Lecture notes in physics
318 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | V, 154 S. |
| ISBN: | 3540511067 0387511067 |
Internformat
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Datensatz im Suchindex
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|---|---|
| adam_text | V
CONTENTS
INTRODUCTION 1
A. FOURIER SPECTRAL METHOD
1. Review of Hilbert Bases 7
2. Simple Examples of Hilbert Bases 9
3. Fourier Series in L2 ( it, Jt) 14
4. The Uniform Convergence of Fourier Series 19
5. The Fourier Series of a Distribution 21
6. Periodic Sobolev Spaces 26
7. First Order Equations The Galerkin Method 32
8. Lagrange Interpolation in S The Discrete Fourier Transform 43
9. First Order Equation The Collocation Method 56
10. Time Discretization Schemes 62
11. An Advection Diffusion Equation 77
12. The Solution of an Elliptic Problem 93
B. POLYNOMIAL SPECTRAL METHODS
1. A Review of Orthogonal Polynomials 97
2. An Introduction to Certain Integration Formulae 100
3. The Approximation of a Function by Chebyshev Polynomials 106
4. Approximation by the Interpolation Operator 122
5. The Solution of the Advection Equation 126
6. Time Discretization Schemes 137
7. The Use of the Fast Fourier Transform 141
8. Solutions of the Heat Equation 145
REFERENCES 153
|
| any_adam_object | 1 |
| author | Mercier, Bertrand |
| author_facet | Mercier, Bertrand |
| author_role | aut |
| author_sort | Mercier, Bertrand |
| author_variant | b m bm |
| building | Verbundindex |
| bvnumber | BV001343332 |
| callnumber-first | Q - Science |
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| callnumber-subject | QA - Mathematics |
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| dewey-ones | 515 - Analysis |
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| dewey-sort | 3515 42433 |
| dewey-tens | 510 - Mathematics |
| discipline | Physik Mathematik |
| format | Book |
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| id | DE-604.BV001343332 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:27:35Z |
| institution | BVB |
| isbn | 3540511067 0387511067 |
| language | English French |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000812625 |
| oclc_num | 19516012 |
| open_access_boolean | |
| owner | DE-12 DE-384 DE-355 DE-BY-UBR DE-824 DE-29T DE-706 DE-634 DE-83 DE-11 |
| owner_facet | DE-12 DE-384 DE-355 DE-BY-UBR DE-824 DE-29T DE-706 DE-634 DE-83 DE-11 |
| physical | V, 154 S. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in physics |
| series2 | Lecture notes in physics |
| spelling | Mercier, Bertrand Verfasser aut Analyse numérique des méthodes spectrales An introduction to the numerical analysis of spectral methods Berlin u.a. Springer 1989 V, 154 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in physics 318 Chebyshev polynomials Fourier series Polynomialentwicklung (DE-588)4213885-1 gnd rswk-swf Spektralmethode (DE-588)4224817-6 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Fourier-Entwicklung (DE-588)4155102-3 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Fourier-Reihe (DE-588)4155109-6 gnd rswk-swf Fourier-Reihe (DE-588)4155109-6 s Partielle Differentialgleichung (DE-588)4044779-0 s DE-604 Spektralmethode (DE-588)4224817-6 s Spektraltheorie (DE-588)4116561-5 s Numerisches Verfahren (DE-588)4128130-5 s Fourier-Entwicklung (DE-588)4155102-3 s Polynomialentwicklung (DE-588)4213885-1 s Lecture notes in physics 318 (DE-604)BV000003166 318 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000812625&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mercier, Bertrand An introduction to the numerical analysis of spectral methods Lecture notes in physics Chebyshev polynomials Fourier series Polynomialentwicklung (DE-588)4213885-1 gnd Spektralmethode (DE-588)4224817-6 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Fourier-Entwicklung (DE-588)4155102-3 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Spektraltheorie (DE-588)4116561-5 gnd Fourier-Reihe (DE-588)4155109-6 gnd |
| subject_GND | (DE-588)4213885-1 (DE-588)4224817-6 (DE-588)4044779-0 (DE-588)4155102-3 (DE-588)4128130-5 (DE-588)4116561-5 (DE-588)4155109-6 |
| title | An introduction to the numerical analysis of spectral methods |
| title_alt | Analyse numérique des méthodes spectrales |
| title_auth | An introduction to the numerical analysis of spectral methods |
| title_exact_search | An introduction to the numerical analysis of spectral methods |
| title_full | An introduction to the numerical analysis of spectral methods |
| title_fullStr | An introduction to the numerical analysis of spectral methods |
| title_full_unstemmed | An introduction to the numerical analysis of spectral methods |
| title_short | An introduction to the numerical analysis of spectral methods |
| title_sort | an introduction to the numerical analysis of spectral methods |
| topic | Chebyshev polynomials Fourier series Polynomialentwicklung (DE-588)4213885-1 gnd Spektralmethode (DE-588)4224817-6 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Fourier-Entwicklung (DE-588)4155102-3 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Spektraltheorie (DE-588)4116561-5 gnd Fourier-Reihe (DE-588)4155109-6 gnd |
| topic_facet | Chebyshev polynomials Fourier series Polynomialentwicklung Spektralmethode Partielle Differentialgleichung Fourier-Entwicklung Numerisches Verfahren Spektraltheorie Fourier-Reihe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000812625&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003166 |
| work_keys_str_mv | AT mercierbertrand analysenumeriquedesmethodesspectrales AT mercierbertrand anintroductiontothenumericalanalysisofspectralmethods |