Singular perturbation theory

✍ Scribed by Lindsay A. Skinner (auth.)

• Publisher: Springer US
• Year: 2011
• Tongue: English
• Leaves: 97
• Edition: 1
• Category: Library

✦ Synopsis

This book is a rigorous presentation of the method of matched asymptotic expansions, the primary tool for attacking singular perturbation problems. A knowledge of conventional asymptotic analysis is assumed. The first chapter introduces the theory and is followed by four chapters of applications to ordinary differential equation problems of increasing complexity. Exercises are included as well as several Maple programs for computing the terms of the various asymptotic expansions that arise in solving the problems.

✦ Table of Contents

Front Matter....Pages i-x
Uniform Expansion Theory....Pages 1-14
First Order Differential Equations....Pages 15-26
Second Order Differential Equations....Pages 27-48
Logarithm Problems....Pages 49-70
Oscillation Problems....Pages 71-83
Back Matter....Pages 85-85

✦ Subjects

Approximations and Expansions; Ordinary Differential Equations; Applications of Mathematics