Perturbation Methods in Applied Mathematics / by J. Kevorkian, J.D. Cole
| データ種別 | 電子書籍 |
|---|---|
| 版 | 1st ed. 1981. |
| 出版者 | New York, NY : Springer New York : Imprint: Springer |
| 出版年 | 1981 |
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| 書誌ID | OB01019567 |
|---|---|
| 本文言語 | 英語 |
| 一般注記 | 1 Introduction -- 2 Limit Process Expansions Applied to Ordinary Differential Equations -- 3 Multiple-Variable Expansion Procedures -- 4 Applications to Partial Differential Equations -- 5 Examples from Fluid Mechanics -- Author Index. License restrictions may limit access Summary: 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 Mathe matics, 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 differ ential 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 |
| 著者標目 | *Kevorkian, J Cole, J.D SpringerLink (Online service) |
| 統一書名標目 | Applied Mathematical Sciences, |
| 件 名 | LCSH:Mathematical analysis LCSH:Numerical analysis FREE:Analysis FREE:Numerical Analysis |
| 分 類 | LCC:QA299.6-433 DC23:515 |
| 巻冊次 | ISBN:9781475742138 RefWorks出力（各巻） print ; ISBN:9781441928122 RefWorks出力（各巻） print ; ISBN:9780387905075 RefWorks出力（各巻） print ; ISBN:9781475742145 RefWorks出力（各巻） |
| 資料種別 | 機械可読データファイル |
| 所蔵情報へのリンク | Perturbation methods in applied mathematics / J. Kevorkian, J.D. Cole ; : us,: gw |
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