Multilevel projection methods for partial differential equations:
Mathematics of Computing -- Numerical Analysis.
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Philadelphia, Pa.
Soc. for Industrial and Applied Math.
1992
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| Series: | National Science Foundation / Conference Board of the Mathematical Sciences: CBMS-NSF regional conference series in applied mathematics
62 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Summary: | Mathematics of Computing -- Numerical Analysis. |
| Item Description: | Literaturverz. S. 101 - 102 |
| Physical Description: | VI, 114 S. graph. Darst. |
| ISBN: | 0898712920 |
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| 245 | 1 | 0 | |a Multilevel projection methods for partial differential equations |c Stephen F. McCormick |
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| 490 | 1 | |a National Science Foundation / Conference Board of the Mathematical Sciences: CBMS-NSF regional conference series in applied mathematics |v 62 | |
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Record in the Search Index
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| adam_text | Contents
v PREFACE
1 CHAPTER 1. Fundamentals
1.1 Introduction
1.2 Notation and Conventions
1.3 Prototype Problems
1.4 Discretization by Projections
1.5 Readability and Nodal Representations
1.6 Interlevel Transfer Matrices
1.7 Error Measures
31 CHAPTER 2. Multilevel Projection Methods
2.1 Abstract Framework: The Multilevel Projection Method (PML)
2.2 The Multigrid Method (MG)
2.3 The Fast Adaptive Composite Grid Method (FAC)
2.4 Prototype Problems
2.5 Relaxation
2.6 Coarse level Realizability and Recursiveness
2.7 Parallelization: Asynchronous FAC (AFAC)
2.8 Other Practical Matters
2.9 Summary
49 CHAPTER 3. Unigrid
3.1 Basic Unigrid Scheme
3.2 Multigrid Simulation
3.3 FAC Simulation
3.4 Performance Assessment
3.5 Caveats
iii
iv CONTENTS
61 CHAPTER 4. Paradigms
4.1 Rayleigh Ritz 1: Parameter Estimation
4.2 Rayleigh Ritz 2: Transport Equations
4.3 Galerkin 1: General Eigenvalue Problems
4.4 Galerkin 2: Riccati Equations
4.5 Petrov Galerkin 1: The Finite Volume Element Method (FVE)
4.6 Petrov Galerkin 2: Image Reconstruction
97 CHAPTER 5. Perspectives
101 REFERENCES
103 APPENDIX A. Simple Unigrid Code
107 APPENDIX B. More Efficient Unigrid Code
111 APPENDIX C. Modification to Unigrid Code for Local Refinement
113 INDEX
|
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| author_facet | MacCormick, Stephen F. |
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| author_sort | MacCormick, Stephen F. |
| author_variant | s f m sf sfm |
| building | Verbundindex |
| bvnumber | BV006149255 |
| classification_rvk | SI 196 SK 920 |
| classification_tum | MAT 671f |
| ctrlnum | (OCoLC)611823154 (DE-599)BVBBV006149255 |
| discipline | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T16:41:07Z |
| institution | BVB |
| isbn | 0898712920 |
| language | English |
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| physical | VI, 114 S. graph. Darst. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Soc. for Industrial and Applied Math. |
| record_format | marc |
| series2 | National Science Foundation / Conference Board of the Mathematical Sciences: CBMS-NSF regional conference series in applied mathematics |
| spelling | MacCormick, Stephen F. Verfasser aut Multilevel projection methods for partial differential equations Stephen F. McCormick Philadelphia, Pa. Soc. for Industrial and Applied Math. 1992 VI, 114 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier National Science Foundation / Conference Board of the Mathematical Sciences: CBMS-NSF regional conference series in applied mathematics 62 Literaturverz. S. 101 - 102 Mathematics of Computing -- Numerical Analysis. Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Mehrgitterverfahren (DE-588)4038376-3 gnd rswk-swf Mehrgitterverfahren (DE-588)4038376-3 s DE-604 Partielle Differentialgleichung (DE-588)4044779-0 s Numerisches Verfahren (DE-588)4128130-5 s Conference Board of the Mathematical Sciences: CBMS-NSF regional conference series in applied mathematics National Science Foundation 62 (DE-604)BV000016696 62 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003888383&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | MacCormick, Stephen F. Multilevel projection methods for partial differential equations Numerisches Verfahren (DE-588)4128130-5 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Mehrgitterverfahren (DE-588)4038376-3 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4044779-0 (DE-588)4038376-3 |
| title | Multilevel projection methods for partial differential equations |
| title_auth | Multilevel projection methods for partial differential equations |
| title_exact_search | Multilevel projection methods for partial differential equations |
| title_full | Multilevel projection methods for partial differential equations Stephen F. McCormick |
| title_fullStr | Multilevel projection methods for partial differential equations Stephen F. McCormick |
| title_full_unstemmed | Multilevel projection methods for partial differential equations Stephen F. McCormick |
| title_short | Multilevel projection methods for partial differential equations |
| title_sort | multilevel projection methods for partial differential equations |
| topic | Numerisches Verfahren (DE-588)4128130-5 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Mehrgitterverfahren (DE-588)4038376-3 gnd |
| topic_facet | Numerisches Verfahren Partielle Differentialgleichung Mehrgitterverfahren |
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