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Matched Asymptotic Expansions

Ideas and Techniques

  • Book
  • © 1988

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

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About this book

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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Keywords

Table of contents (3 chapters)

Authors and Affiliations

  • California Institute of Technology Applied Mathematics 217-50, Firestone Laboratory, Pasadena, USA

    P. A. Lagerstrom

Bibliographic Information

  • Book Title: Matched Asymptotic Expansions

  • Book Subtitle: Ideas and Techniques

  • Authors: P. A. Lagerstrom

  • Series Title: Applied Mathematical Sciences

  • DOI: https://doi.org/10.1007/978-1-4757-1990-1

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1988

  • Hardcover ISBN: 978-0-387-96811-7Published: 07 September 1988

  • Softcover ISBN: 978-1-4419-3086-6Published: 01 December 2010

  • eBook ISBN: 978-1-4757-1990-1Published: 09 March 2013

  • Series ISSN: 0066-5452

  • Series E-ISSN: 2196-968X

  • Edition Number: 1

  • Number of Pages: XII, 252

  • Topics: Analysis

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