Perturbation methods in applied mathematics:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York, NY [u.a.]
Springer
2010
|
| Edition: | [Nachdr.] |
| Series: | Applied mathematical sciences.
34 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Ausg. 1968 u.d.T.: Cole, Julian D.: Perturbation methods in applied mathematics |
| Physical Description: | X, 558 S. graph. Darst. |
| ISBN: | 9781441928122 |
Staff View
MARC
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| 245 | 1 | 0 | |a Perturbation methods in applied mathematics |c J. Kevorkian ; Julian D. Cole |
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Record in the Search Index
| _version_ | 1804143857488625664 |
|---|---|
| adam_text | Contents
Chapter
1
Introduction
1
1.1
Ordering
1
1.2
Asymptotic Sequences and Expansions
3
1.3
Limit Process Expansions, Matching, General Asymptotic Expansions
7
Chapter
2
Limit Process Expansions Applied to Ordinary
Differential Equations
17
2.1
Linear Oscillator: Regular Perturbation
17
2.2
Linear Oscillator: Singular Problem
20
2.3
Linear Singular Perturbation Problems with Variable Coefficients
28
2.4
Theorem of
Erdélyi,
Rigorous Results
52
2.5
Model Nonlinear Example for Singular Perturbations
- 56
2.6
Relaxation Oscillations of the van
der Pol
Oscillator
67
2.7
Singular Boundary Problems
83
2.8
Higher-Order Example: Beam String
97
Chapter
3
Multiple-Variable Expansion Procedures
105
3.1
Method of Strained Coordinates (Lindstedt s Method) for
Periodic Solutions
106
3.2
Two-Variable Expansion Procedure, Weakly Nonlinear Autonomous
Systems of Second Order
115
3.3
Second Order Equations with Variable Coefficients
151
3.4
Applications to Satellite Problems
171
3.5
Higher Order Problems
211
ix
Contents
3.6
Strongly Nonlinear Oscillations, The Method of Kuzmak-Luke
264
3.7
Summary of Other Solution Techniques
278
Chapter
4
Applications to Partial Differential Equations
330
4.1
Limit-Process Expansions for Second-Order Partial Differential Equations
330
4.2
Boundary-Layer Theory in Viscous Incompressible Flow
370
4.3
Singular Boundary-Value Problems
387
4.4
Multiple-Variable Expansions for Second-Order Partial
Differential Equations
448
Chapter
5
Examples from Fluid Mechanics
481
5.1
Weakly Nonlinear One-Dimensional Acoustics
481
5.2
Small Amplitude Waves on Shallow Water
505
5.3
Expansion Procedures of Thin Airfoil Theory at Various
Mach
Numbers
519
Bibliography
546
Author Index
547
Subject Index
549
|
| any_adam_object | 1 |
| author | Kevorkian, Jirayr 1933- Cole, Julian D. |
| author_GND | (DE-588)10978068X |
| author_facet | Kevorkian, Jirayr 1933- Cole, Julian D. |
| author_role | aut aut |
| author_sort | Kevorkian, Jirayr 1933- |
| author_variant | j k jk j d c jd jdc |
| building | Verbundindex |
| bvnumber | BV037245305 |
| classification_rvk | SK 500 |
| classification_tum | MAT 418f |
| ctrlnum | (OCoLC)711831904 (DE-599)BVBBV037245305 |
| discipline | Mathematik |
| edition | [Nachdr.] |
| format | Book |
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| id | DE-604.BV037245305 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:54:19Z |
| institution | BVB |
| isbn | 9781441928122 |
| language | English |
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| physical | X, 558 S. graph. Darst. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Springer |
| record_format | marc |
| series | Applied mathematical sciences. |
| series2 | Applied mathematical sciences. |
| spelling | Kevorkian, Jirayr 1933- Verfasser (DE-588)10978068X aut Perturbation methods in applied mathematics J. Kevorkian ; Julian D. Cole [Nachdr.] New York, NY [u.a.] Springer 2010 X, 558 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Applied mathematical sciences. 34 Ausg. 1968 u.d.T.: Cole, Julian D.: Perturbation methods in applied mathematics Strömung (DE-588)4058076-3 gnd rswk-swf Asymptotik (DE-588)4126634-1 gnd rswk-swf Störungstheorie (DE-588)4128420-3 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Störungstheorie (DE-588)4128420-3 s Differentialgleichung (DE-588)4012249-9 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Asymptotik (DE-588)4126634-1 s Strömung (DE-588)4058076-3 s 1\p DE-604 Cole, Julian D. Verfasser aut Applied mathematical sciences. 34 (DE-604)BV000005274 34 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021158726&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 | Kevorkian, Jirayr 1933- Cole, Julian D. Perturbation methods in applied mathematics Applied mathematical sciences. Strömung (DE-588)4058076-3 gnd Asymptotik (DE-588)4126634-1 gnd Störungstheorie (DE-588)4128420-3 gnd Differentialgleichung (DE-588)4012249-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4058076-3 (DE-588)4126634-1 (DE-588)4128420-3 (DE-588)4012249-9 (DE-588)4128130-5 |
| title | Perturbation methods in applied mathematics |
| title_auth | Perturbation methods in applied mathematics |
| title_exact_search | Perturbation methods in applied mathematics |
| title_full | Perturbation methods in applied mathematics J. Kevorkian ; Julian D. Cole |
| title_fullStr | Perturbation methods in applied mathematics J. Kevorkian ; Julian D. Cole |
| title_full_unstemmed | Perturbation methods in applied mathematics J. Kevorkian ; Julian D. Cole |
| title_short | Perturbation methods in applied mathematics |
| title_sort | perturbation methods in applied mathematics |
| topic | Strömung (DE-588)4058076-3 gnd Asymptotik (DE-588)4126634-1 gnd Störungstheorie (DE-588)4128420-3 gnd Differentialgleichung (DE-588)4012249-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Strömung Asymptotik Störungstheorie Differentialgleichung Numerisches Verfahren |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021158726&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000005274 |
| work_keys_str_mv | AT kevorkianjirayr perturbationmethodsinappliedmathematics AT colejuliand perturbationmethodsinappliedmathematics |