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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 3, Pages 620–628 (Mi zvmmf4526)  
This article is cited in 2 scientific papers (total in 2 papers)

Numerical solution of an equation with a small parameter multiplying the highest derivative

A. I. Zadorin, V. N. Ignat'ev

Omsk
Full-text PDF (917 kB) Citations (2)
Abstract: A family of monotonic difference schemes on a non-uniform mesh is proposed for solving a second-order ordinary differential equation with a small parameter in the highest derivative. It is shown that, under certain conditions on the coefficients of the equation, the difference scheme is ill-posed. Two methods are given for solving an ill-posed difference problem, which are stable to rounding errors.
Received: 08.06.1981
Revised: 29.06.1982
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 3, Pages 66–71
DOI: https://doi.org/10.1016/S0041-5553(83)80103-7
Bibliographic databases:
Document Type: Article
UDC: 519.62
MSC: Primary 65L10; Secondary 65L50, 34E15, 34B05
Language: Russian
Citation: A. I. Zadorin, V. N. Ignat'ev, “Numerical solution of an equation with a small parameter multiplying the highest derivative”, Zh. Vychisl. Mat. Mat. Fiz., 23:3 (1983), 620–628; U.S.S.R. Comput. Math. Math. Phys., 23:3 (1983), 66–71
Citation in format AMSBIB
\Bibitem{ZadIgn83}
\by A.~I.~Zadorin, V.~N.~Ignat'ev
\paper Numerical solution of an equation with a small parameter multiplying the highest derivative
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 3
\pages 620--628
\mathnet{http://mi.mathnet.ru/zvmmf4526}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=706887}
\zmath{https://zbmath.org/?q=an:0527.65061}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 3
\pages 66--71
\crossref{https://doi.org/10.1016/S0041-5553(83)80103-7}
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  • https://www.mathnet.ru/eng/zvmmf/v23/i3/p620
    • 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
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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