Singular Perturbation Theory

• Main Author: Skinner, Lindsay A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Springer US, 2011.
• Subjects: Mathematics.; Approximation theory.; Differential equations.; Applied mathematics.; Engineering mathematics.; Approximations and Expansions.; Ordinary Differential Equations.; Applications of Mathematics.

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 t...

Table of Contents:

• Uniform Expansion
• First Order Differential Equations
• Second Order Differential Equations
• Logarithm Problems
• Oscillation Problems
• References.