Matching of asymptotic expansions of solutions of boundary value problems
著者
書誌事項
Matching of asymptotic expansions of solutions of boundary value problems
（Translations of mathematical monographs, v. 102）
American Mathematical Society, c1992
- タイトル別名
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Soglasovanie asimptoticheskikh razlozheniĭ resheniĭ kraevykh zadach
Согласование асимптотических разложений решений краевых задач
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注記
Translation of: Согласование асимптотических разложений решений краевых задач
Includes bibliographical references (p. 273-279) and index
内容説明・目次
内容説明
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 neighbourhood 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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