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Matched Asymptotic Expansions : Ideas and Techniques

Author: P A Lagerstrom
Publisher: New York, NY : Springer New York, 1988.
Series: Applied mathematical sciences (Springer-Verlag New York Inc.), 76.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: P A Lagerstrom
ISBN: 9781475719901 1475719906
OCLC Number: 853263368
Description: 1 online resource (xii, 251 pages).
Contents: I. Introduction: General Concepts of Singular Perturbation Theory --
II. Layer-type Problems. Ordinary Differential Equations --
III. Layer-type Problems. Partial Differential Equations --
List of References.
Series Title: Applied mathematical sciences (Springer-Verlag New York Inc.), 76.
Responsibility: by P.A. Lagerstrom.
More information:

Abstract:

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.

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