@article{ZVMMF_2000_40_6_a5,
author = {P. N. Vabishchevich and V. A. Pervichko and A. A. Samarskii and V. V. Chudanov},
title = {Nonlinear regularized finite-difference schemes for the multidimensional transport equation},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {900--907},
year = {2000},
volume = {40},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_6_a5/}
}
TY - JOUR AU - P. N. Vabishchevich AU - V. A. Pervichko AU - A. A. Samarskii AU - V. V. Chudanov TI - Nonlinear regularized finite-difference schemes for the multidimensional transport equation JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2000 SP - 900 EP - 907 VL - 40 IS - 6 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_6_a5/ LA - ru ID - ZVMMF_2000_40_6_a5 ER -
%0 Journal Article %A P. N. Vabishchevich %A V. A. Pervichko %A A. A. Samarskii %A V. V. Chudanov %T Nonlinear regularized finite-difference schemes for the multidimensional transport equation %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2000 %P 900-907 %V 40 %N 6 %U http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_6_a5/ %G ru %F ZVMMF_2000_40_6_a5
P. N. Vabishchevich; V. A. Pervichko; A. A. Samarskii; V. V. Chudanov. Nonlinear regularized finite-difference schemes for the multidimensional transport equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 6, pp. 900-907. http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_6_a5/
[1] Samarskii A. A., Popov Yu. P., Raznostnye metody resheniya zadach gazovoi dinamiki, Nauka, M., 1992 | MR
[2] Hirsch C., Numerical computation of internal and external flows, v. 2, Computational methods for inviscid and viscous flows, Wiley, Chichester, 1988
[3] Rozhdestvenskii B. L., Yanenko H. H., Sistemy kvazilineinykh uravnenii i ikh prilozheniya k gazovoi dinamike, Nauka, M., 1978 | MR
[4] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1989 | MR
[5] Rouch P., Vychislitelnaya gidrodinamika, Mir, M., 1980 | Zbl
[6] Godunov S. K., “Raznostnyi metod chislennogo rascheta razryvnykh reshenii uravnenii gidrodinamiki”, Matem. sb., 47(89):3 (1959), 271–306 | MR | Zbl
[7] Goldin V. Ya., Kalitkin N. N., Shishova T. V., “Nelineinye raznostnye skhemy dlya giperbolicheskikh uravnenii”, Zh. vychisl. matem. i matem. fiz., 5:5 (1965), 938–944 | MR
[8] Kolgan V. P., “Primenenie printsipa minimalnykh znachenii proizvodnoi k postroeniyu konechnoraznostnykh skhem dlya rascheta razryvnykh reshenii gazovoi dinamiki”, Uch. zap. TsAGI, 3:6 (1972), 68–77
[9] Harten A., “High resolution schemes for hyperbolic conservation laws”, J. Comput. Phys., 49:3 (1983), 357–393 | DOI | MR | Zbl
[10] Osher S., Chakravarthy S., “High resolution schemes and the entropy condition”, SIAM J. Numer. Analys., 21:5 (1984), 955–984 | DOI | MR | Zbl
[11] Sweby P. K., “High resolution schemes using flux limiters for hyperbolic conservation laws”, SIAM. J. Numer. Analys., 21:5 (1984), 995–1011 | DOI | MR | Zbl
[12] Harten A., Osher S., “Uniformly high-order accurate nonoscillatory schemes. I”, SIAM J. Numer. Analys., 24:2 (1987), 279–309 | DOI | MR | Zbl
[13] Yee H. C., “Construction of explicit and implicit symmetric TVD schemes and their applications”, J. Comput. Phys., 68 (1987), 151–179 | DOI | MR
[14] Vyaznikov K. B., Tishkin V. F., Favorskii A. P., “Postroenie monotonnykh raznostnykh skhem povyshennogo poryadka approksimatsii dlya sistem lineinykh differentsialnykh uravnenii s postoyannymi koeffitsientami giperbolicheskogo tipa”, Matem. modelirovanie, 1:5 (1989), 95–120 | MR | Zbl
[15] Samarskii A. A., Vabischevich P. N., “Nelineinye monotonnye skhemy dlya uravneniya perenosa”, Dokl. RAN, 361:1 (1998), 21–23 | MR
[16] Vreugdenhil C. B., Koren B., Numerical methods for advection-diffusion problems, Vieweg, Braunschweig, 1993
[17] Samarskii A. A., Gulin A. B., Ustoichivost raznostnykh skhem, Nauka, M., 1973 | Zbl
[18] Samarskii A. A., “O regulyarizatsii raznostnykh skhem”, Zh. vychisl. matem. i matem. fiz., 7:1 (1967), 62–93 | MR