Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2017, Volume 132, Pages 149–152 (Mi into186)  
This article is cited in 2 scientific papers (total in 2 papers)

A method of matching of interior and exterior asymptotics in boundary-value problems of mathematical physics

A. V. Shatrov

Vyatka State University
Full-text PDF (254 kB) Citations (2)
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.
Keywords: asymptotic methods, Padé approximation, boundary-value problem of mathematical physics, boundary layer.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1281 çàäàíèå ¹ 2014/66, ðåã. ¹ 114123040133
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 230, Issue 5, Pages 804–807
DOI: https://doi.org/10.1007/s10958-018-3794-0
Bibliographic databases:
Document Type: Article
UDC: 517.928.4, 517.538.53
MSC: 35Q35, 41A21
Language: Russian
Citation: A. V. Shatrov, “A method of matching of interior and exterior asymptotics in boundary-value problems of mathematical physics”, Proceedings of International Symposium “Differential Equations–2016”, Perm, May 17-18, 2016, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 132, VINITI, Moscow, 2017, 149–152; J. Math. Sci. (N. Y.), 230:5 (2018), 804–807
Citation in format AMSBIB
\Bibitem{Sha17}
\by A.~V.~Shatrov
\paper A method of matching of interior and exterior asymptotics in boundary-value problems of mathematical physics
\inbook Proceedings of International Symposium “Differential Equations–2016”, Perm, May 17-18, 2016
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 132
\pages 149--152
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into186}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3801406}
\zmath{https://zbmath.org/?q=an:1393.35182}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 230
\issue 5
\pages 804--807
\crossref{https://doi.org/10.1007/s10958-018-3794-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85044347606}
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  • https://www.mathnet.ru/eng/into/v132/p149
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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