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AuthorLagerstrom, P. A. author
TitleMatched Asymptotic Expansions [electronic resource] : Ideas and Techniques / by P. A. Lagerstrom
ImprintNew York, NY : Springer New York : Imprint: Springer, 1988
Connect tohttp://dx.doi.org/10.1007/978-1-4757-1990-1
Descript XII, 252 p. online resource

SUMMARY

Content and Aims of this Book Earlier drafts of the manuscript of this book (James A. Boa was then coauยญ thor) contained discussions of many methods and examples of singular perturbaยญ 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 avยญ eraging and the related method of multiple scales are mentioned mainly to give reasons why they are not discussed further. Examples which required too sophisยญ 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


CONTENT

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


Mathematics Mathematical analysis Analysis (Mathematics) Mathematics Analysis



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