Sinc methods for quadrature and differential equations:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Philadelphia
Soc. for Industrial and Applied Mathematics
1992
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 304 S. graph. Darst. |
| ISBN: | 089871298X |
Staff View
MARC
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| 100 | 1 | |a Lund, John |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Sinc methods for quadrature and differential equations |c John Lund ; Kenneth L. Bowers |
| 264 | 1 | |a Philadelphia |b Soc. for Industrial and Applied Mathematics |c 1992 | |
| 300 | |a X, 304 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Galerkine, Méthodes de | |
| 650 | 4 | |a Intégration numérique | |
| 650 | 4 | |a Équations différentielles - Solutions numériques | |
| 650 | 4 | |a Differential equations |x Numerical solutions | |
| 650 | 4 | |a Galerkin methods | |
| 650 | 4 | |a Numerical integration | |
| 650 | 0 | 7 | |a Sinc-Methode |0 (DE-588)4325400-7 |2 gnd |9 rswk-swf |
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Record in the Search Index
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| adam_text | Contents
Preface ix
Chapter 1. Preliminary Material 1
1.1 Analytic Functions 2
1.2 Conformal Mapping 7
1.3 Fourier Series and Transforms 9
Chapter 2. Numerical Methods on the Real Line 21
2.1 Exact Interpolation and Quadrature 22
2.2 Approximate Interpolation and Quadrature 33
Chapter 3. Numerical Methods on an Arc r 57
3.1 Interpolation on T 58
3.2 Quadrature on r 68
3.3 Differentiation on T 92
Chapter 4. The Sinc Galerkin Method 101
4.1 A Galerkin Scheme 102
4.2 Inner Product Approximations 104
4.3 Discrete System Assembly and Error 113
4.4 Treatment of Boundary Conditions 140
4.5 Analytic Considerations 151
Chapter 5. Steady Problems 163
5.1 Sine Collocation Methods 164
5.2 Sturm Liouville Problems 174
5.3 Discretization of a Self Adjoint Form 188
5.4 The Poisson Problem 194
Chapter 6. Time Dependent Problems 227
6.1 The Heat Equation 228
6.2 Treatment of Boundary and Initial Conditions 242
6.3 Burgers Equation 257
viii CONTENTS
Appendix A, Linear Algebra 269
A.1 Special Matrices and Diagonalization 270
A.2 Eigenvalue Bounds 277
A.3 Block Matrices 281
Bibliography 291
Text Directory 299
Index 303
|
| any_adam_object | 1 |
| author | Lund, John Bowers, Kenneth L. |
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| dewey-search | 515/.35 |
| dewey-sort | 3515 235 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV008426763 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:19:32Z |
| institution | BVB |
| isbn | 089871298X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005551345 |
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| physical | X, 304 S. graph. Darst. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Soc. for Industrial and Applied Mathematics |
| record_format | marc |
| spelling | Lund, John Verfasser aut Sinc methods for quadrature and differential equations John Lund ; Kenneth L. Bowers Philadelphia Soc. for Industrial and Applied Mathematics 1992 X, 304 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Galerkine, Méthodes de Intégration numérique Équations différentielles - Solutions numériques Differential equations Numerical solutions Galerkin methods Numerical integration Sinc-Methode (DE-588)4325400-7 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Sinc-Methode (DE-588)4325400-7 s Partielle Differentialgleichung (DE-588)4044779-0 s DE-604 Bowers, Kenneth L. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005551345&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lund, John Bowers, Kenneth L. Sinc methods for quadrature and differential equations Galerkine, Méthodes de Intégration numérique Équations différentielles - Solutions numériques Differential equations Numerical solutions Galerkin methods Numerical integration Sinc-Methode (DE-588)4325400-7 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4325400-7 (DE-588)4044779-0 |
| title | Sinc methods for quadrature and differential equations |
| title_auth | Sinc methods for quadrature and differential equations |
| title_exact_search | Sinc methods for quadrature and differential equations |
| title_full | Sinc methods for quadrature and differential equations John Lund ; Kenneth L. Bowers |
| title_fullStr | Sinc methods for quadrature and differential equations John Lund ; Kenneth L. Bowers |
| title_full_unstemmed | Sinc methods for quadrature and differential equations John Lund ; Kenneth L. Bowers |
| title_short | Sinc methods for quadrature and differential equations |
| title_sort | sinc methods for quadrature and differential equations |
| topic | Galerkine, Méthodes de Intégration numérique Équations différentielles - Solutions numériques Differential equations Numerical solutions Galerkin methods Numerical integration Sinc-Methode (DE-588)4325400-7 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Galerkine, Méthodes de Intégration numérique Équations différentielles - Solutions numériques Differential equations Numerical solutions Galerkin methods Numerical integration Sinc-Methode Partielle Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005551345&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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