Operator theory and numerical methods:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam [u.a.]
Elsevier
2001
|
| Edition: | 1. ed. |
| Series: | Studies in mathematics and its applications
30 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 309 S. |
| ISBN: | 0444504745 |
Staff View
MARC
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| 100 | 1 | |a Fujita, Hiroshi |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Operator theory and numerical methods |c Hiroshi Fujita, Norikazu Saito and Takashi Suzuki |
| 250 | |a 1. ed. | ||
| 264 | 1 | |a Amsterdam [u.a.] |b Elsevier |c 2001 | |
| 300 | |a VIII, 309 S. | ||
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| 490 | 1 | |a Studies in mathematics and its applications |v 30 | |
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| 650 | 7 | |a Operadores (teoria) |2 larpcal | |
| 650 | 4 | |a Numerical analysis | |
| 650 | 4 | |a Operator theory | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface v
1 Elliptic Boundary Value Problems and FEM 1
1.1 Elliptic Boundary Value Problems 1
1.2 Ritz Galerkin Method 7
1.3 Finite Element Method (FEM) 10
1.4 Inverse Assumption 14
1.5 L°° Estimate 19
1.6 17 Estimate 27
1.7 Asymptotic Expansion 35
2 Semigroup Theory and FEM 47
2.1 Evolutionary Problems . 47
2.2 Semi discretization 53
2.3 Fractional Powers 58
2.4 Full discretization 61
2.5 Inhomogeneous Equation 68
2.6 Higher Accuracy 70
2.7 L°° Estimate 77
2.8 Hyperbolic. Equation 83
3 Evolution Equations and FEM 95
3.1 Generation Theories 95
3.2 A Priori Estimates 108
3.3 Semi discretization 118
3.4 Full discretization 126
3.5 Alternative Approach 131
4 Other Methods in Time Discretization 145
4.1 Rational Approximation of Semigroups 145
4.2 Multi step Method 153
4.3 Product Formula 165
5 Other Methods in Space Discretization 171
5.1 Lumping of Mas s 171
5.2 Upwind Finite Elements 181
vii
5.3 Mixed Finite Elements 182
5.4 Boundary Element Method (BEM) 190
5.5 Charge Simulation Method (CSM) 195
6 Nonlinear Problems 207
6.1 Semilinear Elliptic Equations 207
6.2 Semilinear Parabolic Equations 211
6.3 Degenerate Parabolic Equations 217
7 Domain Decomposition Method 243
7.1 Dirichlet to Neumann (DN) Map 243
7.2 Dirichlet to Neumann (DN) Iteration 246
7.3 Dirichlet2 to Neumann2 (DD NN) Iteration 255
7.4 Robin to Robin (RR) Iteration 257
7.5 Exterior Problem 258
7.6 The Stokes System 261
Bibliography 275
Index 303
viii
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| discipline | Mathematik |
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| id | DE-604.BV013946812 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:54:52Z |
| institution | BVB |
| isbn | 0444504745 |
| language | English |
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| physical | VIII, 309 S. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
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| publisher | Elsevier |
| record_format | marc |
| series | Studies in mathematics and its applications |
| series2 | Studies in mathematics and its applications |
| spelling | Fujita, Hiroshi Verfasser aut Operator theory and numerical methods Hiroshi Fujita, Norikazu Saito and Takashi Suzuki 1. ed. Amsterdam [u.a.] Elsevier 2001 VIII, 309 S. txt rdacontent n rdamedia nc rdacarrier Studies in mathematics and its applications 30 Análise numérica larpcal Operadores (teoria) larpcal Numerical analysis Operator theory Operatortheorie (DE-588)4075665-8 gnd rswk-swf Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Operatortheorie (DE-588)4075665-8 s Numerische Mathematik (DE-588)4042805-9 s DE-604 Finite-Elemente-Methode (DE-588)4017233-8 s Saito, Norikazu Verfasser aut Suzuki, Takashi Verfasser aut Studies in mathematics and its applications 30 (DE-604)BV000000646 30 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009543451&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fujita, Hiroshi Saito, Norikazu Suzuki, Takashi Operator theory and numerical methods Studies in mathematics and its applications Análise numérica larpcal Operadores (teoria) larpcal Numerical analysis Operator theory Operatortheorie (DE-588)4075665-8 gnd Numerische Mathematik (DE-588)4042805-9 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| subject_GND | (DE-588)4075665-8 (DE-588)4042805-9 (DE-588)4017233-8 |
| title | Operator theory and numerical methods |
| title_auth | Operator theory and numerical methods |
| title_exact_search | Operator theory and numerical methods |
| title_full | Operator theory and numerical methods Hiroshi Fujita, Norikazu Saito and Takashi Suzuki |
| title_fullStr | Operator theory and numerical methods Hiroshi Fujita, Norikazu Saito and Takashi Suzuki |
| title_full_unstemmed | Operator theory and numerical methods Hiroshi Fujita, Norikazu Saito and Takashi Suzuki |
| title_short | Operator theory and numerical methods |
| title_sort | operator theory and numerical methods |
| topic | Análise numérica larpcal Operadores (teoria) larpcal Numerical analysis Operator theory Operatortheorie (DE-588)4075665-8 gnd Numerische Mathematik (DE-588)4042805-9 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| topic_facet | Análise numérica Operadores (teoria) Numerical analysis Operator theory Operatortheorie Numerische Mathematik Finite-Elemente-Methode |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009543451&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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