Complementary variational principles:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford
Clarendon Press
1980
|
| Edition: | second edition |
| Series: | Oxford mathematical monographs
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | vii, 154 Seiten Diagramme |
| ISBN: | 0198535325 |
Staff View
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| 245 | 1 | 0 | |a Complementary variational principles |c by A. M. Arthurs |
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS
1. VARIATIONAL PRINCIPLES: INTRODUCTION
1.1. Introduction 1
1.2. Euler Lagrange theory 2
1.3. Canonical formalism 6
1.4. Convex functions 11
1.5. Complementary variational principles 14
2. VARIATIONAL PRINCIPLES: SOME EXTENSIONS
2.1. A class of operators 17
2.2. Functional derivatives 22
2.3. Euler Lagrange theory 25
2.4. Canonical formalism 28
2.5. Convex functionals 29
2.6. Complementary variational principles 33
3. LINEAR BOUNDARY VALUE PROBLEMS
3.1. The inverse problem 39
3.2. A class of linear problems 41
3.3. Variational formulation 42
3.4. Complementary principles 44
3.5. The hypercircle 48
3.6. Error estimates for approximate solutions 52
3.7. Alternative complementary principles 55
3.8. Estimates for linear functionals 58
4. LINEAR APPLICATIONS
4.1. Rayleigh and Temple bounds 62
4.2. Potential theory 63
CONTENTS vii
4.3. Electrostatics 66
4.4. Diffusion 69
4.5. The Milne problem 73
4.6. Membrane with elastic support 75
4.7. Perturbation theory 78
4.8. Potential scattering 81
4.9. Other applications 89
5. NONLINEAR BOUNDARY VALUE PROBLEMS
5.1. Class of problems 92
5.2. Variational formulation 93
5.3. Complementary principles 94
5.4. Monotone problems 99
5.5. Error estimates 101
5.6. Hypercircle results for monotone problems 107
5.7. Geometry of the general problem 111
5.8. Estimates for linear functionals 119
6. NONLINEAR APPLICATIONS
6.1. Poisson Boltzmann equation 122
6.2. Thomas Fermi equation 124
6.3. Foppl Hencky equation 127
6.4. Prismatic bar 129
6.5. An integral equation 132
6.6. Nonlinear diffusion 134
6.7. Nerve membrane problem 136
6.8. Nonlinear networks 139
6.9. Other applications 143
REFERENCES 147
SUBJECT INDEX 151
|
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| discipline | Mathematik |
| edition | second edition |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:03:07Z |
| institution | BVB |
| isbn | 0198535325 |
| language | English |
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| physical | vii, 154 Seiten Diagramme |
| publishDate | 1980 |
| publishDateSearch | 1980 |
| publishDateSort | 1980 |
| publisher | Clarendon Press |
| record_format | marc |
| series2 | Oxford mathematical monographs |
| spelling | Arthurs, Arnold M. (DE-588)171954343 aut Complementary variational principles by A. M. Arthurs second edition Oxford Clarendon Press 1980 vii, 154 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Oxford mathematical monographs Calcul des variations ram Problèmes aux limites ram Boundary value problems Calculus of variations Variationsrechnung (DE-588)4062355-5 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Randwertproblem (DE-588)4048395-2 s DE-604 Variationsrechnung (DE-588)4062355-5 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002316206&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Arthurs, Arnold M. Complementary variational principles Calcul des variations ram Problèmes aux limites ram Boundary value problems Calculus of variations Variationsrechnung (DE-588)4062355-5 gnd Randwertproblem (DE-588)4048395-2 gnd |
| subject_GND | (DE-588)4062355-5 (DE-588)4048395-2 |
| title | Complementary variational principles |
| title_auth | Complementary variational principles |
| title_exact_search | Complementary variational principles |
| title_full | Complementary variational principles by A. M. Arthurs |
| title_fullStr | Complementary variational principles by A. M. Arthurs |
| title_full_unstemmed | Complementary variational principles by A. M. Arthurs |
| title_short | Complementary variational principles |
| title_sort | complementary variational principles |
| topic | Calcul des variations ram Problèmes aux limites ram Boundary value problems Calculus of variations Variationsrechnung (DE-588)4062355-5 gnd Randwertproblem (DE-588)4048395-2 gnd |
| topic_facet | Calcul des variations Problèmes aux limites Boundary value problems Calculus of variations Variationsrechnung Randwertproblem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002316206&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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