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Matched Asymptotic Expansions

Ideas and Techniques

  • P. A. Lagerstrom

Part of the Applied Mathematical Sciences book series (AMS, volume 76)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Back Matter
    Pages 242-251

About this book

Introduction

Content and Aims of this Book Earlier drafts of the manuscript of this book (James A. Boa was then coau­ thor) contained discussions of many methods and examples of singular perturba­ tion problems. The ambitious plans of covering a large number of topics were later abandoned in favor of the present goal: a thorough discussion of selected ideas and techniques used in the method of matched asymptotic expansions. Thus many problems and methods are not covered here: the method of av­ eraging and the related method of multiple scales are mentioned mainly to give reasons why they are not discussed further. Examples which required too sophis­ ticated and involved calculations, or advanced knowledge of a special field, are not treated; for instance, to the author's regret some very interesting applications to fluid mechanics had to be omitted for this reason. Artificial mathematical examples introduced to show some exotic or unexpected behavior are omitted, except when they are analytically simple and are needed to illustrate mathematical phenomena important for realistic problems. Problems of numerical analysis are not discussed.

Keywords

Calculation Mathematica differential equation equation numerical analysis ordinary differential equation partial differential equation

Authors and affiliations

  • P. A. Lagerstrom
    • 1
  1. 1.California Institute of Technology Applied Mathematics 217-50Firestone LaboratoryPasadenaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-1990-1
  • Copyright Information Springer-Verlag New York 1988
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-3086-6
  • Online ISBN 978-1-4757-1990-1
  • Series Print ISSN 0066-5452
  • Buy this book on publisher's site
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