Perturbation Methods in Applied Mathematics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1981
|
| Schriftenreihe: | Applied Mathematical Sciences
34 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book is a revised and updated version, including a substantial portion of new material, of J. D. Cole's text Perturbation Methods in Applied Mathematics, Ginn-Blaisdell, 1968. We present the material at a level which assumes some familiarity with the basics of ordinary and partial differential equations. Some of the more advanced ideas are reviewed as needed; therefore this book can serve as a text in either an advanced undergraduate course or a graduate level course on the subject. The applied mathematician, attempting to understand or solve a physical problem, very often uses a perturbation procedure. In doing this, he usually draws on a backlog of experience gained from the solution of similar examples rather than on some general theory of perturbations. The aim of this book is to survey these perturbation methods, especially in connection with differential equations, in order to illustrate certain general features common to many examples. The basic ideas, however, are also applicable to integral equations, integrodifferential equations, and even to difference equations. In essence, a perturbation procedure consists of constructing the solution for a problem involving a small parameter B, either in the differential equation or the boundary conditions or both, when the solution for the limiting case B = 0 is known. The main mathematical tool used is asymptotic expansion with respect to a suitable asymptotic sequence of functions of B. |
| Beschreibung: | 1 Online-Ressource (X, 560 p) |
| ISBN: | 9781475742138 9781441928122 |
| DOI: | 10.1007/978-1-4757-4213-8 |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Kevorkian, J. |
| author_facet | Kevorkian, J. |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4757-4213-8 |
| format | Electronic eBook |
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| id | DE-604.BV042421589 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:09Z |
| institution | BVB |
| isbn | 9781475742138 9781441928122 |
| language | English |
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| spelling | Kevorkian, J. Verfasser aut Perturbation Methods in Applied Mathematics by J. Kevorkian, J. D. Cole New York, NY Springer New York 1981 1 Online-Ressource (X, 560 p) txt rdacontent c rdamedia cr rdacarrier Applied Mathematical Sciences 34 This book is a revised and updated version, including a substantial portion of new material, of J. D. Cole's text Perturbation Methods in Applied Mathematics, Ginn-Blaisdell, 1968. We present the material at a level which assumes some familiarity with the basics of ordinary and partial differential equations. Some of the more advanced ideas are reviewed as needed; therefore this book can serve as a text in either an advanced undergraduate course or a graduate level course on the subject. The applied mathematician, attempting to understand or solve a physical problem, very often uses a perturbation procedure. In doing this, he usually draws on a backlog of experience gained from the solution of similar examples rather than on some general theory of perturbations. The aim of this book is to survey these perturbation methods, especially in connection with differential equations, in order to illustrate certain general features common to many examples. The basic ideas, however, are also applicable to integral equations, integrodifferential equations, and even to difference equations. In essence, a perturbation procedure consists of constructing the solution for a problem involving a small parameter B, either in the differential equation or the boundary conditions or both, when the solution for the limiting case B = 0 is known. The main mathematical tool used is asymptotic expansion with respect to a suitable asymptotic sequence of functions of B. Mathematics Global analysis (Mathematics) Numerical analysis Analysis Numerical Analysis Mathematik Asymptotik (DE-588)4126634-1 gnd rswk-swf Störungstheorie (DE-588)4128420-3 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Strömung (DE-588)4058076-3 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 s Numerisches Verfahren (DE-588)4128130-5 s Asymptotik (DE-588)4126634-1 s Strömung (DE-588)4058076-3 s 1\p DE-604 Störungstheorie (DE-588)4128420-3 s 2\p DE-604 3\p DE-604 Cole, J. D. Sonstige oth Applied Mathematical Sciences 34 (DE-604)BV040244599 34 https://doi.org/10.1007/978-1-4757-4213-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kevorkian, J. Perturbation Methods in Applied Mathematics Applied Mathematical Sciences Mathematics Global analysis (Mathematics) Numerical analysis Analysis Numerical Analysis Mathematik Asymptotik (DE-588)4126634-1 gnd Störungstheorie (DE-588)4128420-3 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Differentialgleichung (DE-588)4012249-9 gnd Strömung (DE-588)4058076-3 gnd |
| subject_GND | (DE-588)4126634-1 (DE-588)4128420-3 (DE-588)4128130-5 (DE-588)4012249-9 (DE-588)4058076-3 |
| 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 by J. Kevorkian, J. D. Cole |
| title_fullStr | Perturbation Methods in Applied Mathematics by J. Kevorkian, J. D. Cole |
| title_full_unstemmed | Perturbation Methods in Applied Mathematics by J. Kevorkian, J. D. Cole |
| title_short | Perturbation Methods in Applied Mathematics |
| title_sort | perturbation methods in applied mathematics |
| topic | Mathematics Global analysis (Mathematics) Numerical analysis Analysis Numerical Analysis Mathematik Asymptotik (DE-588)4126634-1 gnd Störungstheorie (DE-588)4128420-3 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Differentialgleichung (DE-588)4012249-9 gnd Strömung (DE-588)4058076-3 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Numerical analysis Analysis Numerical Analysis Mathematik Asymptotik Störungstheorie Numerisches Verfahren Differentialgleichung Strömung |
| url | https://doi.org/10.1007/978-1-4757-4213-8 |
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