Matching of Asymptotic Expansions of Solutions of Boundary Value Problems (Translations of Mathematical Monographs) - Hardcover

A. M. Ilin

9780821845615: Matching of Asymptotic Expansions of Solutions of Boundary Value Problems (Translations of Mathematical Monographs)

Hardcover

ISBN 10: 0821845616 ISBN 13: 9780821845615

Publisher: American Mathematical Society, 1992

This book deals with the solution of singularly perturbed boundary value problems for differential equations. It presents, for the first time, a detailed and systematic treatment of the version of the matching method developed by the author and his colleagues. A broad class of problems is considered from a unified point of view, and the procedure for constructing asymptotic expansions is discussed in detail. The book covers formal constructions of asymptotic expansions and provides rigorous justifications of these asymptotics. One highlight is a complete asymptotic analysis of Burger's equation with small diffusion in the neighborhood of the gradient catastrophe point. The book is suitable as a text for graduate study in asymptotic methods in calculus and singularly perturbed equations.

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Language Notes:

Text: English (translation)
Original Language: Russian

Review:

A valuable reference book. --Bulletin of the London Mathematical Society

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