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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 1, Pages 58–71 (Mi zvmmf3322)  
This article is cited in 11 scientific papers (total in 11 papers)

The use of special transformations in the numerical solution of boundary layer problems

V. D. Liseikin

Novosibirsk
Full-text PDF (1141 kB) Citations (11)
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Abstract: Estimates of the derivatives are obtained for certain boundary-layer problems, making it possible to isolate singularities of the solutions effectively. On the basis of these estimates special transformations, which smooth out the singularities, are constructed. These transformations are used to construct numerical algorithms for solving certain problems in which the coefficient of the highest-order derivative is a small parameter. It is proved that the numerical solution converges uniformly to the exact solution.
Received: 30.04.1987
Revised: 31.03.1988
English version:
USSR Computational Mathematics and Mathematical Physics, 1990, Volume 30, Issue 1, Pages 43–53
DOI: https://doi.org/10.1016/0041-5553(90)90006-E
Bibliographic databases:
Document Type: Article
UDC: 519.6.624
MSC: Primary 65L10; Secondary 34B15, 34E15
Language: Russian
Citation: V. D. Liseikin, “The use of special transformations in the numerical solution of boundary layer problems”, Zh. Vychisl. Mat. Mat. Fiz., 30:1 (1990), 58–71; U.S.S.R. Comput. Math. Math. Phys., 30:1 (1990), 43–53
Citation in format AMSBIB
\Bibitem{Lis90}
\by V.~D.~Liseikin
\paper The use of special transformations in the numerical solution of boundary layer problems
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1990
\vol 30
\issue 1
\pages 58--71
\mathnet{http://mi.mathnet.ru/zvmmf3322}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1043155}
\zmath{https://zbmath.org/?q=an:0695.65057}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1990
\vol 30
\issue 1
\pages 43--53
\crossref{https://doi.org/10.1016/0041-5553(90)90006-E}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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