Algebraic Analysis of Singular Perturbation Theory
Download or Read eBook Algebraic Analysis of Singular Perturbation Theory PDF written by Takahiro Kawai and published by American Mathematical Soc.. This book was released on 2005 with total page 148 pages. Available in PDF, EPUB and Kindle.
| Author | : Takahiro Kawai |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 148 |
| Release | : 2005 |
| ISBN-10 | : 0821835475 |
| ISBN-13 | : 9780821835470 |
| Rating | : 4/5 (75 Downloads) |
Book Synopsis Algebraic Analysis of Singular Perturbation Theory by : Takahiro Kawai
Book excerpt: The topic of this book is the study of singular perturbations of ordinary differential equations, i.e., perturbations that represent solutions as asymptotic series rather than as analytic functions in a perturbation parameter. The main method used is the so-called WKB (Wentzel-Kramers-Brillouin) method, originally invented for the study of quantum-mechanical systems. The authors describe in detail the WKB method and its applications to the study of monodromy problems for Fuchsian differential equations and to the analysis of Painleve functions. This volume is suitable for graduate students and researchers interested in differential equations and special functions.
