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 Zh. Vychisl. Mat. Mat. Fiz., 1998, Volume 38, Number 8, Pages 1266–1278 (Mi zvmmf1836)

Convergence of a modified Samarskij's monotonic scheme on a smoothly condensing grid

V. B. Andreev

Moscow State University, Faculty of Computational Mathematics and Cybernetics

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English version:
Computational Mathematics and Mathematical Physics, 1998, 38:8, 1212–1224

Bibliographic databases:
UDC: 519.632.4
MSC: Primary 65L10; Secondary 34B05, 34E15, 65L12, 65L20

Citation: V. B. Andreev, “Convergence of a modified Samarskij's monotonic scheme on a smoothly condensing grid”, Zh. Vychisl. Mat. Mat. Fiz., 38:8 (1998), 1266–1278; Comput. Math. Math. Phys., 38:8 (1998), 1212–1224

Citation in format AMSBIB
\Bibitem{And98} \by V.~B.~Andreev \paper Convergence of a modified Samarskij's monotonic scheme on a smoothly condensing grid \jour Zh. Vychisl. Mat. Mat. Fiz. \yr 1998 \vol 38 \issue 8 \pages 1266--1278 \mathnet{http://mi.mathnet.ru/zvmmf1836} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1673636} \zmath{https://zbmath.org/?q=an:0972.65045} \transl \jour Comput. Math. Math. Phys. \yr 1998 \vol 38 \issue 8 \pages 1212--1224 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. 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
2. N. V. Kopteva, “Uniform convergence with respect to a small parameter of a scheme with central difference on refining grids”, Comput. Math. Math. Phys., 39:10 (1999), 1594–1610
3. N. S. Bakhvalov, “Automatic construction of integration mesh for boundary value problems with boundary layers”, Comput. Math. Math. Phys., 39:8 (1999), 1238–1243
4. I. A. Brayanov, L. G. Volkov, “Uniform in a small parameter convergence of Samarskii's monotone scheme and its modification for the convection-diffusion equation with a concentrated source”, Comput. Math. Math. Phys., 40:4 (2000), 534–550
5. Andreev V.B., Kopteva N.V., “Uniform with respect to a small parameter convergence of difference schemes for a convection-diffusion problem”, Analytical and Numerical Methods for Convection-Dominated and Singularly Perturbed Problems, 2000, 133–139
6. Kopteva N., “Uniform pointwise convergence of difference schemes for convection-diffusion problems on layer-adapted meshes”, Computing, 66:2 (2001), 179–197
7. Linss T., “Layer-adapted meshes for convection-diffusion problems”, Comput Methods Appl Mech Engrg, 192:9–10 (2003), 1061–1105
8. V. B. Andreev, “On the uniform convergence of a classical difference scheme on an irregular grid for the one-dimensional singularly perturbed reaction-diffusion equation”, Comput. Math. Math. Phys., 44:3 (2004), 449–464
9. Andreev V.B., “On the theory of difference schemes for singularly perturbed equations”, Differ Equ, 40:7 (2004), 959–970
10. Brayanov I.A., “Numerical solution of a mixed singularly perturbed parabolic-elliptic problem”, J Math Anal Appl, 320:1 (2006), 361–380
11. Linss T., “Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems Introduction”, Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems, Lecture Notes in Mathematics, 1985, 2010, 1
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