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 Zh. Vychisl. Mat. Mat. Fiz., 1995, Volume 35, Number 5, Pages 739–752 (Mi zvmmf2402)

On the convergence, uniform with respect to the small parameter, of A. A. Samarskii's monotone scheme and its modifications

V. B. Andreev, I. A. Savin

Moscow

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English version:
Computational Mathematics and Mathematical Physics, 1995, 35:5, 581–591

Bibliographic databases:
UDC: 519.632

Citation: V. B. Andreev, I. A. Savin, “On the convergence, uniform with respect to the small parameter, of A. A. Samarskii's monotone scheme and its modifications”, Zh. Vychisl. Mat. Mat. Fiz., 35:5 (1995), 739–752; Comput. Math. Math. Phys., 35:5 (1995), 581–591

Citation in format AMSBIB
\Bibitem{AndSav95} \by V.~B.~Andreev, I.~A.~Savin \paper On the convergence, uniform with respect to the small parameter, of A.\,A.~Samarskii's monotone scheme and its modifications \jour Zh. Vychisl. Mat. Mat. Fiz. \yr 1995 \vol 35 \issue 5 \pages 739--752 \mathnet{http://mi.mathnet.ru/zvmmf2402} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1337018} \zmath{https://zbmath.org/?q=an:0852.65062} \transl \jour Comput. Math. Math. Phys. \yr 1995 \vol 35 \issue 5 \pages 581--591 \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1995RZ28600008} 

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Erratum

This publication is cited in the following articles:
1. Kopteva N.V., “Uniform convergence with respect to a small parameter of a four-point scheme for the one-dimensional stationary convection-diffusion equation”, Differ Equ, 32:7 (1996), 958–964
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3. V. B. Andreev, N. V. Kopteva, “A study of difference schemes with the first derivative approximated by a central difference ratio”, Comput. Math. Math. Phys., 36:8 (1996), 1065–1078
4. N. V. Kopteva, “On the uniform in small parameter convergence of a weighted scheme for the one-dimensional time-dependent convection–diffusion equation”, Comput. Math. Math. Phys., 37:10 (1997), 1173–1180
5. Andreev V.B., Kopteva N.V., “On the convergence, uniform with respect to a small parameter, of monotone three-point finite-difference approximations”, Differ Equ, 34:7 (1998), 921–929
6. V. B. Andreev, “Convergence of a modified Samarskij's monotonic scheme on a smoothly condensing grid”, Comput. Math. Math. Phys., 38:8 (1998), 1212–1224
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27. A. I. Zadorin, S. V. Tikhovskaya, “Solution of second order nonlinear singular perturbation ordinary differential equation based on the Samarskii scheme”, Num. Anal. Appl., 6:1 (2013), 9–23
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31. I. V. Popov, “O monotonnykh raznostnykh skhemakh”, Matem. modelirovanie, 31:8 (2019), 21–43
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