@article{ZVMMF_1997_37_10_a5,
author = {V. V. Ostapenko},
title = {Convergence of finite-difference schemes behind a shock front},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1201--1212},
year = {1997},
volume = {37},
number = {10},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_10_a5/}
}
TY - JOUR AU - V. V. Ostapenko TI - Convergence of finite-difference schemes behind a shock front JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1997 SP - 1201 EP - 1212 VL - 37 IS - 10 UR - http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_10_a5/ LA - ru ID - ZVMMF_1997_37_10_a5 ER -
V. V. Ostapenko. Convergence of finite-difference schemes behind a shock front. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 37 (1997) no. 10, pp. 1201-1212. http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_10_a5/
[1] Lax P. D., Hyperbolic systems of conservation laws and the mathematical theory of shock waves, Soc. Industr. and Appl. Math., Philadelphia, 1972 | MR
[2] Rozhdestvenskii B. L., Yanenko N. N., Sistemy kvazilineinykh uravnenii, Nauka, M., 1978 | MR
[3] Voevodin A. F., Shugrin S. M., Metody resheniya odnomernykh evolyutsionnykh sistem, Nauka, Novosibirsk, 1993 | MR
[4] Samarskii A. A., Popov Yu. P., Raznostnye metody resheniya zadach gazovoi dinamiki, Nauka, M., 1980 | MR
[5] Stoker Dzh. Dzh., Volny na vode, Izd-vo inostr. lit., M., 1959
[6] 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
[7] Rusanov V. V., “Raznostnye skhemy tretego poryadka tochnosti dlya skvoznogo rascheta razryvnykh reshenii”, Dokl. AN SSSR, 180:6 (1968), 1303–1305 | MR | Zbl
[8] Kolgan V. P., “Primenenie operatorov sglazhivaniya v raznostnykh skhemakh vysokogo poryadka tochnosti”, Zh. vychisl. matem. i matem. fiz., 18:5 (1978), 1340–1345 | MR | Zbl
[9] Kholodov A. S., “O postroenii raznostnykh skhem povyshennogo poryadka tochnosti dlya uravnenii giperbolicheskogo tipa”, Zh. vychisl. matem. i matem. fiz., 20:6 (1980), 1601–1620 | MR | Zbl
[10] Harten A., “High resolution schemes for hyperbolic conservation laws”, J. Comput. Phys., 49 (1983), 357–393 | DOI | MR | Zbl
[11] Harten A., “On a class of high resolution total-variation-stable finite-difference schemes”, SIAM J. Numer. Analys., 21:1 (1984), 1–23 | DOI | MR | Zbl
[12] Tolstykh A. I., Kompaktnye raznostnye skhemy i ikh primenenie v zadachakh aerogidrodinamiki, Nauka, M., 1990 | MR
[13] Pinchukov V. I., “O postroenii monotonnykh skhem tipa prediktor-korrektor proizvolnogo poryadka approksimatsii”, Matem. modelirovanie, 3:9 (1991), 95–103 | MR | Zbl
[14] Ostapenko V. V., “O povyshenii poryadka slaboi approksimatsii zakonov sokhraneniya na razryvnykh resheniyakh”, Zh. vychisl. matem. i matem. fiz., 36:10 (1996), 146–157 | MR | Zbl
[15] Ivanov M. Ya., Kraiko A. N., “Ob approksimatsii razryvnykh reshenii pri ispolzovanii raznostnykh skhem skvoznogo scheta”, Zh. vychisl. matem. i matem. fiz., 18:3 (1978), 780–783
[16] Rusanov V. V., Bezmenov I. V., Nazhestkina E. I., “Vychislitelnye pogreshnosti raznostnykh skhem dlya rascheta razryvnykh reshenii”, Chisl. modelirovanie v aerogidrodinamike, Nauka, M., 1986, 174–187
[17] Godunov C. K., Ryabenkii B. C., Raznostnye skhemy, Nauka, M., 1978
[18] Shokin Yu. I., Yanenko H. H., Metod differentsialnogo priblizheniya, Nauka, Novosibirsk, 1985 | Zbl
[19] Ostapenko V. V., “Approksimatsiya zakonov sokhraneniya na neodnorodnoi raznostnoi setke”, Zh. vychisl. matem. i matem. fiz., 33:11 (1993), 1663–1680 | MR | Zbl
[20] Ostapenko V. V., “Metod teoreticheskoi otsenki disbalansov nekonservativnykh raznostnykh skhem na udarnoi volne”, Dokl. AN SSSR, 295:2 (1987), 292–297 | MR
[21] Ivanov M. Ya., “K analizu mekhanizma ostsillyatsii chislennykh reshenii uravnenii gidrodinamiki”, Zh. vychisl. matem. i matem. fiz., 22:2 (1982), 411–417 | MR | Zbl
[22] Ivanov M. A., Koretskii V. V., Kurochkina N. Ya., “Issledovanie svoistv raznostnykh skhem skvoznogo scheta pervogo poryadka approksimatsii”, Chisl. metody mekhan. sploshnoi sredy, 11, no. 1, In-t teor. i prikl. mekhan. SO AN SSSR, Novosibirsk, 1980, 81–110 | MR
[23] Ivanov M. A., Koretskii V. V., Kurochkina N. Ya., “Issledovanie svoistv raznostnykh skhem skvoznogo scheta vtorogo poryadka approksimatsii”, Chisl. metody mekhan. sploshnoi sredy, 11, no. 2, In-t teor. i prikl. mekhan. SO AN SSSR, Novosibirsk, 1980, 41–63 | MR
[24] Ostapenko V. V., “Ob approksimatsii zakonov sokhraneniya raznostnymi skhemami skvoznogo scheta”, Zh. vychisl. matem. i matem. fiz., 30:9 (1990), 1405–1417 | MR