Journal of Mathematical Sciences

, Volume 230, Issue 5, pp 804–807 | Cite as

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

  • A. V. ShatrovEmail author


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.

Keywords and phrases

asymptotic methods Padé approximation boundary-value problem of mathematical physics boundary layer 

AMS Subject Classification

35Q35 41A21 


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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Vyatka State UniversityKirovRussia

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