Asymptotic treatment of differential equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London u.a.
Chapman & Hall
1995
|
| Edition: | 1. ed. |
| Series: | Applied mathematics and mathematical computation
9 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 268 S. graph. Darst. |
| ISBN: | 0412558602 |
Staff View
MARC
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| 100 | 1 | |a Georgescu, Adelina |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Asymptotic treatment of differential equations |c Adelina Georgescu |
| 250 | |a 1. ed. | ||
| 264 | 1 | |a London u.a. |b Chapman & Hall |c 1995 | |
| 300 | |a VIII, 268 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Applied mathematics and mathematical computation |v 9 | |
| 650 | 7 | |a Asymptotische analyse |2 gtt | |
| 650 | 7 | |a Equations différentielles - Théorie asymptotique |2 ram | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface vii
1 The basics of asymptotics 1
1.1 Introduction 1
1.2 Order relations 5
1.3 Asymptotic sequences 10
1.4 Asymptotic expansions 12
1.5 Asymptotic series 31
1.6 Asymptotic behaviour of functions
dependent on asymptotic parameters 39
1.7 Singular linear o.d.e.s in the complex field 41
1.8 Linear o.d.e.s with large parameters,
uniformly valid asymptotic expansions,
and the asymptotic resonance phenomenon 45
2 Perturbation theory 54
2.1 Regular and singular perturbation problems
for non linear differential equations with
a small parameter 54
2.2 Regular perturbation problems for systems
of o.d.e.s 67
2.3 Classification of singular perturbation problems 70
2.4 Methods in singular perturbation theory and
the matching of asymptotic expansions 78
2.5 Optimum meshes found by asymptotics:
numerical methods specific to boundary layer
type problems 115
2.6 Rigorous results in the theory of boundary
layer problems; the method of boundary
layer type functions 116
vi CONTENTS
2.7 The multiple scale method 144
2.8 Averaging methods 164
3 Model examples 176
3.1 Prandtl s example 176
3.2 Friedrichs example 183
3.3 Principles of intermediate matching;
Lagerstrom model example 189
4 Models of asymptotic approximation of the
Navier Stokes model 198
4.1 Models of asymptotic approximation of the
Navier Stokes model at large Reynolds numbers 198
4.2 Models of asymptotic approximation of the
Navier Stokes model at small Reynolds numbers 213
5 Asymptotic approximation of the Boltzmann model
for small and large mean free path 233
5.1 The linearized Boltzmann equation at small
Knudsen numbers 233
5.2 Boltzmann s equation at small Knudsen numbers 239
5.3 Boltzmann s equation at large Knudsen numbers 242
6 Other models of asymptotic approximation 244
6.1 Synoptic flows 244
6.2 Elastic behaviour 249
6.3 Abstract and concrete applications of
asymptotic analysis 251
References 253
Index 264
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T17:45:45Z |
| institution | BVB |
| isbn | 0412558602 |
| language | English |
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| physical | VIII, 268 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Chapman & Hall |
| record_format | marc |
| series | Applied mathematics and mathematical computation |
| series2 | Applied mathematics and mathematical computation |
| spelling | Georgescu, Adelina Verfasser aut Asymptotic treatment of differential equations Adelina Georgescu 1. ed. London u.a. Chapman & Hall 1995 VIII, 268 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Applied mathematics and mathematical computation 9 Asymptotische analyse gtt Equations différentielles - Théorie asymptotique ram Perturbation (Mathématiques) ram Differential equations Asymptotic theory Perturbation (Mathematics) Asymptotische Methode (DE-588)4287476-2 gnd rswk-swf Asymptotik (DE-588)4126634-1 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 s Asymptotik (DE-588)4126634-1 s DE-604 Asymptotische Methode (DE-588)4287476-2 s DE-188 Applied mathematics and mathematical computation 9 (DE-604)BV006188231 9 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006673431&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Georgescu, Adelina Asymptotic treatment of differential equations Applied mathematics and mathematical computation Asymptotische analyse gtt Equations différentielles - Théorie asymptotique ram Perturbation (Mathématiques) ram Differential equations Asymptotic theory Perturbation (Mathematics) Asymptotische Methode (DE-588)4287476-2 gnd Asymptotik (DE-588)4126634-1 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| subject_GND | (DE-588)4287476-2 (DE-588)4126634-1 (DE-588)4012249-9 |
| title | Asymptotic treatment of differential equations |
| title_auth | Asymptotic treatment of differential equations |
| title_exact_search | Asymptotic treatment of differential equations |
| title_full | Asymptotic treatment of differential equations Adelina Georgescu |
| title_fullStr | Asymptotic treatment of differential equations Adelina Georgescu |
| title_full_unstemmed | Asymptotic treatment of differential equations Adelina Georgescu |
| title_short | Asymptotic treatment of differential equations |
| title_sort | asymptotic treatment of differential equations |
| topic | Asymptotische analyse gtt Equations différentielles - Théorie asymptotique ram Perturbation (Mathématiques) ram Differential equations Asymptotic theory Perturbation (Mathematics) Asymptotische Methode (DE-588)4287476-2 gnd Asymptotik (DE-588)4126634-1 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| topic_facet | Asymptotische analyse Equations différentielles - Théorie asymptotique Perturbation (Mathématiques) Differential equations Asymptotic theory Perturbation (Mathematics) Asymptotische Methode Asymptotik Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006673431&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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