@article{ZVMMF_1998_38_11_a7,
author = {Ya. L. Gur'eva and V. P. Il'in},
title = {Computational aspects of finite volume methods},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1860--1876},
year = {1998},
volume = {38},
number = {11},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_11_a7/}
}
TY - JOUR AU - Ya. L. Gur'eva AU - V. P. Il'in TI - Computational aspects of finite volume methods JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1998 SP - 1860 EP - 1876 VL - 38 IS - 11 UR - http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_11_a7/ LA - ru ID - ZVMMF_1998_38_11_a7 ER -
Ya. L. Gur'eva; V. P. Il'in. Computational aspects of finite volume methods. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 11, pp. 1860-1876. http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_11_a7/
[1] Saulev V. K., “Ob odnom metode avtomatizatsii resheniya kraevykh zadach na bystrodeistvuyuschikh vychislitelnykh mashinakh”, Dokl. AN SSSR, 44:3 (1962), 497–500 | MR
[2] Fryazinov I. V., Maslyankina L. A., O raznostnoi approksimatsii ellipticheskikh i parabolicheskikh uravnenii na neregulyarnoi setke, Preprint No 49, IPMatem. AN SSSR, M., 1977
[3] Fryazinov I. V., “Approksimatsiya dvumernykh ellipticheskikh i parabolicheskikh uravnenii na pare soglasovannykh setok”, Matem. modelirovanie, 6:4 (1994), 53–64 | MR | Zbl
[4] Ilin V. P., Raznostnye metody resheniya ellipticheskikh uravnenii, Izd-vo NGU, Novosibirsk, 1970
[5] Marchuk G. I., Metody vychislitelnoi matematiki, Nauka, M., 1980
[6] Samarskii A. A., Vvedenie v teoriyu raznostnykh skhem, Nauka, M., 1971 | Zbl
[7] Szabo B., Babuska I., Finite element analysis, John Wiley and Sons, Inc., New York, 1991 | Zbl
[8] Hackbush W., “On first and second order box schemes”, Computing, 41 (1989), 277–286 | DOI | MR
[9] Cai Z., Mandel J., McCormick S., “The finite volume method for diffusion equation on general triangulations”, SIAM J. Numer. Analys., 28:2 (1991), 392–402 | DOI | Zbl
[10] Fryazinov I. V., “Metod balansa i variatsionno-raznostnye skhemy”, Differents. ur-niya, 16:7 (1980), 1332–1343 | MR | Zbl
[11] Ilin V. P., Integrobalansnye approksimatsii povyshennoi tochnosti, Preprint No 962, VTs SO AN SSSR, Novosibirsk, 1992
[12] Ilin V. P., “Balansnye approksimatsii povyshennoi tochnosti dlya uravneniya Puassona”, Sibirskii matem. zh., 37:1 (1996), 151–169
[13] Gurieva Y. L., Il'in V. P., “On second order finite-volume approximations for 3D mixed boundary value problems”, Bull. Novosibirsk Comput. Center. Ser. Numer. Analys., 7, NCC Publ., Novosibirsk, 1996, 51–70
[14] Ilin V. P., Vychislitelnye metody elektrofiziki, Nauka, M., 1985
[15] Valiullin A. N., Skhemy povyshennoi tochnosti dlya zadach matematicheskoi fiziki, Izd-vo NGU, Novosibirsk, 1973 | Zbl
[16] Il'in V. P., Iterative incomplete factorization methods, World Scient. Publ. Co., Singapore, 1992
[17] Samarskii A. A., Fryazinov I. V., “O raznostnykh skhemakh resheniya zadachi Dirikhle v proizvolnoi oblasti dlya ellipticheskogo uravneniya s peremennymi koeffitsientami”, Zh. vychisl. matem. i matem. fiz., 11:2 (1971), 385–410 | MR