Algebraic Analysis of Singular Perturbation Theory

Algebraic Analysis of Singular Perturbation Theory
Author :
Publisher : American Mathematical Soc.
Total Pages : 148
Release :
ISBN-10 : 0821835475
ISBN-13 : 9780821835470
Rating : 4/5 (470 Downloads)

Book Synopsis Algebraic Analysis of Singular Perturbation Theory by : Takahiro Kawai

Download or read book Algebraic Analysis of Singular Perturbation Theory 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. 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.


Algebraic Analysis of Singular Perturbation Theory Related Books

Algebraic Analysis of Singular Perturbation Theory
Language: en
Pages: 148
Authors: Takahiro Kawai
Categories: Mathematics
Type: BOOK - Published: 2005 - Publisher: American Mathematical Soc.

GET EBOOK

The topic of this book is the study of singular perturbations of ordinary differential equations, i.e., perturbations that represent solutions as asymptotic ser
Singular Perturbation Theory
Language: en
Pages: 292
Authors: R.S. Johnson
Categories: Technology & Engineering
Type: BOOK - Published: 2006-01-16 - Publisher: Springer Science & Business Media

GET EBOOK

The importance of mathematics in the study of problems arising from the real world, and the increasing success with which it has been used to model situations r
Geometric Singular Perturbation Theory Beyond the Standard Form
Language: en
Pages: 143
Authors: Martin Wechselberger
Categories: Mathematics
Type: BOOK - Published: 2020-02-21 - Publisher: Springer Nature

GET EBOOK

This volume provides a comprehensive review of multiple-scale dynamical systems. Mathematical models of such multiple-scale systems are considered singular pert
Methods and Applications of Singular Perturbations
Language: en
Pages: 328
Authors: Ferdinand Verhulst
Categories: Mathematics
Type: BOOK - Published: 2006-06-04 - Publisher: Springer Science & Business Media

GET EBOOK

Contains well-chosen examples and exercises A student-friendly introduction that follows a workbook type approach
Singular Perturbation Methods for Ordinary Differential Equations
Language: en
Pages: 234
Authors: Robert E., Jr. O'Malley
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

GET EBOOK

This book results from various lectures given in recent years. Early drafts were used for several single semester courses on singular perturbation meth ods give