Singular Perturbation Theory

  • Lindsay A. Skinner

Table of contents

  1. Front Matter
    Pages i-x
  2. Lindsay A. Skinner
    Pages 1-14
  3. Lindsay A. Skinner
    Pages 15-26
  4. Lindsay A. Skinner
    Pages 27-48
  5. Lindsay A. Skinner
    Pages 49-70
  6. Lindsay A. Skinner
    Pages 71-83
  7. Back Matter
    Pages 85-85

About this book

Introduction

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. 

Keywords

matched asymptotic expansions singular perturbations

Authors and affiliations

  • Lindsay A. Skinner
    • 1
  1. 1., Mathematical SciencesUniversity of Wisconsin- MilwaukeeMilwaukeeUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4419-9958-0
  • Copyright Information Springer Science+Business Media, LLC 2011
  • Publisher Name Springer, Boston, MA
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4419-9957-3
  • Online ISBN 978-1-4419-9958-0
  • About this book