Matching of asymptotic expansions of solutions of boundary value problems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English Russian |
| Published: |
Providence, RI
American Mathematical Society
1992
|
| Series: | Translations of Mathematical Monographs
102 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus dem Russischen übersetzt |
| Physical Description: | IX, 281 Seiten graph. Darst. |
| ISBN: | 0821845616 |
Staff View
MARC
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| 100 | 1 | |a Il'in, Arlen M. |d 1932- |e Verfasser |0 (DE-588)143954156 |4 aut | |
| 240 | 1 | 0 | |a Soglasovanie asimptotičeskich razloženij rešenij kraevych zadač |
| 245 | 1 | 0 | |a Matching of asymptotic expansions of solutions of boundary value problems |c A. M. Il'in |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 1992 | |
| 300 | |a IX, 281 Seiten |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Translations of Mathematical Monographs |v 102 | |
| 500 | |a Aus dem Russischen übersetzt | ||
| 650 | 4 | |a Développements asymptotiques | |
| 650 | 7 | |a Développements asymptotiques |2 ram | |
| 650 | 4 | |a Problèmes aux limites | |
| 650 | 4 | |a Problèmes aux limites - Solutions numériques | |
| 650 | 7 | |a Problèmes aux limites - Solutions numériques |2 ram | |
| 650 | 4 | |a Asymptotic expansions | |
| 650 | 4 | |a Boundary value problems | |
| 650 | 4 | |a Boundary value problems |x Numerical solutions | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface vii
Interdependence of Chapters ix
Introduction 1
Chapter I. Boundary Layer Functions of Exponential Type 13
§ 1. Boundary value problems for ordinary differential equations 13
§2. Partial differential equations 19
Chapter II. Ordinary Differential Equations 27
§1. A simple bisingular problem 27
§2. Matching procedure for asymptotic expansions 38
§3. Nonlinear equation. Intermediate boundary layer 47
Chapter III. Singular Perturbations of the Domain Boundary in
Elliptic Boundary Value Problems 63
§ 1. Three dimensional problem in a domain with a small cavity 64
§2. Flow past a thin body 79
§3. Two dimensional boundary value problem in a domain with a
small hole 94
§4. Analysis of the asymptotics in the case where the limit problem
has no solution 102
§5. Example of solving a boundary value problem with a complex
asymptotics 116
Chapter IV. Elliptic Equation with Small Parameter at Higher
Derivatives 119
§ 1. The case where a characteristic of the limit equation coincides
with a part of the boundary 121
§2. Asymptotics of the solution in a domain with nonsmooth
boundary 144
§3. The case of a singular characteristic tangent to the boundary of
the domain from the outside 160
V
vi CONTENTS
§4. The case of a characteristic tangent to the boundary of the
domain from the inside 168
§5. Remarks 188
Chapter V. Singular Perturbation of a Hyperbolic System of
Equations 195
§1. Construction of the inner expansion 197
§2. Construction of an f.a.s. in the outer domain (under
discontinuity lines) 201
§3. Construction of f.a.s in the vicinity of singular characteristics 205
§4. Construction of an f.a.s in the outer domain (above
discontinuity curves) 209
§5. Justification of the asymptotic expansion 211
Chapter VI. Cauchy Problem for Quasilinear Parabolic Equation with
a Small Parameter 215
§ 1. Outer expansion. Asymptotics of the solution near the
discontinuity curve 218
§2. Shock wave caused by discontinuity of the initial function 227
§3. Breaking of waves. Smoothness of the discontinuity curve.
Asymptotics of the outer expansion coefficients 230
§4. Asymptotics of solutions near the origin 234
§5. Construction of asymptotics in the vicinity of the discontinuity
curve 250
§6. Construction of the uniform asymptotic expansion 257
§7. Asymptotics of the flame wave 260
Notes and Comments on Bibliography 269
Bibliography 273
Subject Index 281
|
| any_adam_object | 1 |
| author | Il'in, Arlen M. 1932- |
| author_GND | (DE-588)143954156 |
| author_facet | Il'in, Arlen M. 1932- |
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| author_sort | Il'in, Arlen M. 1932- |
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| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.35 |
| dewey-search | 515/.35 |
| dewey-sort | 3515 235 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV007193434 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:57:23Z |
| institution | BVB |
| isbn | 0821845616 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004601403 |
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| physical | IX, 281 Seiten graph. Darst. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Translations of Mathematical Monographs |
| series2 | Translations of Mathematical Monographs |
| spelling | Il'in, Arlen M. 1932- Verfasser (DE-588)143954156 aut Soglasovanie asimptotičeskich razloženij rešenij kraevych zadač Matching of asymptotic expansions of solutions of boundary value problems A. M. Il'in Providence, RI American Mathematical Society 1992 IX, 281 Seiten graph. Darst. txt rdacontent n rdamedia nc rdacarrier Translations of Mathematical Monographs 102 Aus dem Russischen übersetzt Développements asymptotiques Développements asymptotiques ram Problèmes aux limites Problèmes aux limites - Solutions numériques Problèmes aux limites - Solutions numériques ram Asymptotic expansions Boundary value problems Boundary value problems Numerical solutions Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Asymptotische Entwicklung (DE-588)4112609-9 gnd rswk-swf 1\p (DE-588)4113937-9 Hochschulschrift gnd-content Randwertproblem (DE-588)4048395-2 s Numerisches Verfahren (DE-588)4128130-5 s Asymptotische Entwicklung (DE-588)4112609-9 s DE-604 Translations of Mathematical Monographs 102 (DE-604)BV000002394 102 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004601403&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Il'in, Arlen M. 1932- Matching of asymptotic expansions of solutions of boundary value problems Translations of Mathematical Monographs Développements asymptotiques Développements asymptotiques ram Problèmes aux limites Problèmes aux limites - Solutions numériques Problèmes aux limites - Solutions numériques ram Asymptotic expansions Boundary value problems Boundary value problems Numerical solutions Numerisches Verfahren (DE-588)4128130-5 gnd Randwertproblem (DE-588)4048395-2 gnd Asymptotische Entwicklung (DE-588)4112609-9 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4048395-2 (DE-588)4112609-9 (DE-588)4113937-9 |
| title | Matching of asymptotic expansions of solutions of boundary value problems |
| title_alt | Soglasovanie asimptotičeskich razloženij rešenij kraevych zadač |
| title_auth | Matching of asymptotic expansions of solutions of boundary value problems |
| title_exact_search | Matching of asymptotic expansions of solutions of boundary value problems |
| title_full | Matching of asymptotic expansions of solutions of boundary value problems A. M. Il'in |
| title_fullStr | Matching of asymptotic expansions of solutions of boundary value problems A. M. Il'in |
| title_full_unstemmed | Matching of asymptotic expansions of solutions of boundary value problems A. M. Il'in |
| title_short | Matching of asymptotic expansions of solutions of boundary value problems |
| title_sort | matching of asymptotic expansions of solutions of boundary value problems |
| topic | Développements asymptotiques Développements asymptotiques ram Problèmes aux limites Problèmes aux limites - Solutions numériques Problèmes aux limites - Solutions numériques ram Asymptotic expansions Boundary value problems Boundary value problems Numerical solutions Numerisches Verfahren (DE-588)4128130-5 gnd Randwertproblem (DE-588)4048395-2 gnd Asymptotische Entwicklung (DE-588)4112609-9 gnd |
| topic_facet | Développements asymptotiques Problèmes aux limites Problèmes aux limites - Solutions numériques Asymptotic expansions Boundary value problems Boundary value problems Numerical solutions Numerisches Verfahren Randwertproblem Asymptotische Entwicklung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004601403&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000002394 |
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