Algebraic Analysis of Singular Perturbation Theory

Algebraic Analysis of Singular Perturbation Theory
Author: Takahiro Kawai
Publisher: American Mathematical Soc.
Total Pages: 148
Release: 2005
Genre: Mathematics
ISBN: 9780821835470


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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
Language: en
Pages: 148
Authors: Takahiro Kawai
Categories: Mathematics
Type: BOOK - Published: 2005 - Publisher: American Mathematical Soc.

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The topic of this book is the study of singular perturbations of ordinary differential equations, i.e., perturbations that represent solutions as asymptotic ser
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

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This volume provides a comprehensive review of multiple-scale dynamical systems. Mathematical models of such multiple-scale systems are considered singular pert
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Categories: Mathematics
Type: BOOK - Published: 2006-06-04 - Publisher: Springer Science & Business Media

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Contains well-chosen examples and exercises A student-friendly introduction that follows a workbook type approach
Singular Perturbation Theory
Language: en
Pages: 305
Authors: R.S. Johnson
Categories: Technology & Engineering
Type: BOOK - Published: 2005-12-28 - Publisher: Springer Science & Business Media

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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
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

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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