Iterative incomplete factorization methods:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Singapore u.a.
World Scientific
1992
|
| Schriftenreihe: | Series on Soviet and East European mathematics
4 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 188 S. |
| ISBN: | 9810209967 |
Internformat
MARC
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| 245 | 1 | 0 | |a Iterative incomplete factorization methods |c V. P. Il'in |
| 264 | 1 | |a Singapore u.a. |b World Scientific |c 1992 | |
| 300 | |a X, 188 S. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a Series on Soviet and East European mathematics |v 4 | |
| 650 | 7 | |a Analise numerica |2 larpcal | |
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| 650 | 7 | |a Itération (mathématiques) |2 ram | |
| 650 | 7 | |a Metodos numericos de algebra linear |2 larpcal | |
| 650 | 7 | |a algèbre linéaire |2 inriac | |
| 650 | 7 | |a analyse matricielle |2 inriac | |
| 650 | 7 | |a factorisation |2 inriac | |
| 650 | 7 | |a incomplétude |2 inriac | |
| 650 | 7 | |a méthode itérative |2 inriac | |
| 650 | 4 | |a Factorization (Mathematics) | |
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Datensatz im Suchindex
| _version_ | 1804121441987198976 |
|---|---|
| adam_text | Contents
Introduction 1
1. Some Elements from Linear Alegbra 7
1.1. Short Extracts from Matrix Theory 7
1.2. Algebraic Peculiarities of Grid Systems of Equations 18
1.3. Common Properties and Comparative Analysis of Iterative
Algorithms 35
2. Buleev Methods and Grid Principles of Incomplete
Factorization 46
2.1. The Explicit Buleev Method for Two Dimensional
Five Point Equations (EBM 2) 46
2.2. The Explicit Buleev Method for Three Dimensional
Seven Point Equations (EBM 3) 52
2.3. Examples of Other Factorizations for Two Dimensional
Problems 56
2.4. Second Order Factorization Methods 62
2.5. Implicit Grid Methods of Incomplete Factorization 68
2.6. Methods of /i Factorization 77
2.6.1. Tee s Method 78
2.6.2. Ginkin s Method 81
3. Matrix Analysis of Incomplete Factorization Methods 86
3.1. Algorithms with Incomplete Triangualar Factorization 86
3.2. Implicit Incomplete Factorization Methods for Block
Tri Diagonal Systems 98
3.2.1. Preliminaries 98
3.2.2. Overimplicit Seidel Method 102
3.2.3. Implicit Algorithms for Symmetric Matrices 105
3.3. Application of Incomplete Factorization to Domain
Decomposition Methods 113
3.3.1. Domain Decomposition into Two Subdomains 114
3.3.2. Domain Decomposition into Several Subdomains ... 118
3.3.3. Diagonal Decomposition with Application
of the Explicit Buleev Method 123
3.3.4. Reduction Methods without Backward Step 125
X Contents
4. Problems of Theoretical Background 128
4.1. Correctness and Stability of Incomplete Factorization 128
4.2. Estimates of Convergence Rate of Iterations 133
4.3. On Application of Incomplete Factorization to Solution
of Parabolic Equations 140
4.4. Solution of Diffusion Convection Equations 145
4.4.1. Equations with Constant Coefficients 146
4.4.2. Equations with Separable Variables 152
4.5. On the Symmetric Alternating Direction Methods 155
5. Examples of Numerical Experiments 159
5.1. Description of Experiment Conditions 160
5.2. Explicit Algorithms 163
5.3. Implicit Algorithms 172
Confinement. Some Conclusions and Unsolved Problems 177
References 181
Subject Index 189
|
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| id | DE-604.BV007228535 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:58:02Z |
| institution | BVB |
| isbn | 9810209967 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004630059 |
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| physical | X, 188 S. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | World Scientific |
| record_format | marc |
| series | Series on Soviet and East European mathematics |
| series2 | Series on Soviet and East European mathematics |
| spelling | Il'in, V. P. Verfasser aut Iterative incomplete factorization methods V. P. Il'in Singapore u.a. World Scientific 1992 X, 188 S. txt rdacontent n rdamedia nc rdacarrier Series on Soviet and East European mathematics 4 Analise numerica larpcal Factorisation ram Itération (mathématiques) ram Metodos numericos de algebra linear larpcal algèbre linéaire inriac analyse matricielle inriac factorisation inriac incomplétude inriac méthode itérative inriac Factorization (Mathematics) Series on Soviet and East European mathematics 4 (DE-604)BV007228526 4 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004630059&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Il'in, V. P. Iterative incomplete factorization methods Series on Soviet and East European mathematics Analise numerica larpcal Factorisation ram Itération (mathématiques) ram Metodos numericos de algebra linear larpcal algèbre linéaire inriac analyse matricielle inriac factorisation inriac incomplétude inriac méthode itérative inriac Factorization (Mathematics) |
| title | Iterative incomplete factorization methods |
| title_auth | Iterative incomplete factorization methods |
| title_exact_search | Iterative incomplete factorization methods |
| title_full | Iterative incomplete factorization methods V. P. Il'in |
| title_fullStr | Iterative incomplete factorization methods V. P. Il'in |
| title_full_unstemmed | Iterative incomplete factorization methods V. P. Il'in |
| title_short | Iterative incomplete factorization methods |
| title_sort | iterative incomplete factorization methods |
| topic | Analise numerica larpcal Factorisation ram Itération (mathématiques) ram Metodos numericos de algebra linear larpcal algèbre linéaire inriac analyse matricielle inriac factorisation inriac incomplétude inriac méthode itérative inriac Factorization (Mathematics) |
| topic_facet | Analise numerica Factorisation Itération (mathématiques) Metodos numericos de algebra linear algèbre linéaire analyse matricielle factorisation incomplétude méthode itérative Factorization (Mathematics) |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004630059&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV007228526 |
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