A Method of Matching of Interior and Exterior Asymptotics in Boundary-Value Problems of Mathematical Physics


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Abstract

We describe applications of asymptotic methods to problems of mathematical physics and mechanics, primarily, to the solution of nonlinear singularly perturbed problems in local domains. We also discuss applications of Padé approximations for transformation of asymptotic expansions to rational or quasi-fractional functions.

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A. V. Shatrov

Vyatka State University

Author for correspondence.
Email: shatrov@vyatsu.ru
Russian Federation, Kirov

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