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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 3, Pages 609–619 (Mi zvmmf4525)  
This article is cited in 23 scientific papers (total in 23 papers)

Difference scheme on a nonuniform grid for a differential equation with small parameter multiplying the highest derivative

G. I. Shishkin

Sverdlovsk
Full-text PDF (1198 kB) Citations (23)
Abstract: For an ordinary differential equation and an equation of parabolic type, with a small parameter in the highest derivative, schemes are constructed, which uniformly converge with respect to the parameter. For the ordinary equation, an algorithm is given for constructing a scheme of high order of accuracy.
Received: 13.06.1981
Revised: 28.06.1982
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 3, Pages 59–66
DOI: https://doi.org/10.1016/S0041-5553(83)80102-5
Bibliographic databases:
Document Type: Article
UDC: 519.62
Language: Russian
Citation: G. I. Shishkin, “Difference scheme on a nonuniform grid for a differential equation with small parameter multiplying the highest derivative”, Zh. Vychisl. Mat. Mat. Fiz., 23:3 (1983), 609–619; U.S.S.R. Comput. Math. Math. Phys., 23:3 (1983), 59–66
Citation in format AMSBIB
\Bibitem{Shi83}
\by G.~I.~Shishkin
\paper Difference scheme on a nonuniform grid for a differential equation with small parameter multiplying the highest derivative
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 3
\pages 609--619
\mathnet{http://mi.mathnet.ru/zvmmf4525}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=706886}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 3
\pages 59--66
\crossref{https://doi.org/10.1016/S0041-5553(83)80102-5}
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  • https://www.mathnet.ru/eng/zvmmf/v23/i3/p609
    • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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