Voir la notice de l'article provenant de la source Math-Net.Ru
@article{IVM_1999_5_a0, author = {V. N. Abrashin and V. M. Volkov and A. A. Egorov and N. G. Zhadaeva}, title = {On a~class of difference methods for solving {Navier--Stokes} equations}, journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika}, pages = {3--11}, publisher = {mathdoc}, number = {5}, year = {1999}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/IVM_1999_5_a0/} }
TY - JOUR AU - V. N. Abrashin AU - V. M. Volkov AU - A. A. Egorov AU - N. G. Zhadaeva TI - On a~class of difference methods for solving Navier--Stokes equations JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 1999 SP - 3 EP - 11 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_1999_5_a0/ LA - ru ID - IVM_1999_5_a0 ER -
%0 Journal Article %A V. N. Abrashin %A V. M. Volkov %A A. A. Egorov %A N. G. Zhadaeva %T On a~class of difference methods for solving Navier--Stokes equations %J Izvestiâ vysših učebnyh zavedenij. Matematika %D 1999 %P 3-11 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/item/IVM_1999_5_a0/ %G ru %F IVM_1999_5_a0
V. N. Abrashin; V. M. Volkov; A. A. Egorov; N. G. Zhadaeva. On a~class of difference methods for solving Navier--Stokes equations. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (1999), pp. 3-11. http://geodesic.mathdoc.fr/item/IVM_1999_5_a0/
[1] Abrashin V. N., Zhadaeva N. G., “Raznostnye skhemy dlya zadach matematicheskoi fiziki v oblasti proizvolnoi formy”, Differents. uravneniya i ikh primenenie, no. 43, Vilnyus, 1988, 22–30 | MR | Zbl
[2] Abrashin V. N., “Ob odnom variante metoda peremennykh napravlenii resheniya mnogomernykh zadach matematicheskoi fiziki”, Differents. uravneniya, 26:2 (1990), 314–323 | MR
[3] Abrashin V. N., Lapko S. L., “Ob odnom klasse raznostnykh skhem resheniya uravnenii Nave–Stoksa, I”, Differents. uravneniya, 28:7 (1992), 1154–1167 | MR | Zbl
[4] Abrashin V. N., Lapko S. L., “Ob odnom klasse raznostnykh skhem resheniya uravnenii Nave–Stoksa, II”, Differents. uravneniya, 29:4 (1993), 673–688 | MR | Zbl
[5] Samarskii A. A., Vvedenie v teoriyu raznostnykh skhem, Nauka, M., 1971, 552 pp. | MR | Zbl
[6] Yanenko N. N., Metod drobnykh shagov resheniya mnogomernykh zadach matematicheskoi fiziki, Nauka, Novosibirsk, 1967, 195 pp. | MR
[7] Marchuk G. I., Metody rasschepleniya, Nauka, M., 1988, 264 pp. | MR
[8] Peaceman D. W., Rachford H. H., “The numerical solution of parabolic and elliptic differential equations”, J. Soc. Industr. and Appl. Math., 1955, no. 3, 28–41 | DOI | MR | Zbl
[9] Douglas J., “On the numerical integration of $\partial^2u/\partial x^2+\partial^2u/\partial y^2=\partial u/\partial t$ by implicit methods”, J. Soc. Industr. and Appl. Math., 1955, no. 3, 42–65 | DOI | MR | Zbl
[10] Fryazinov I. V., Konservativnye raznostnye skhemy dlya dvumernykh uravnenii neszhimaemoi vyazkoi zhidkosti v peremennykh skorost-davlenie, Preprint No 11, In-t prikl. matem. AN SSSR, M., 1981, 28 pp. | MR
[11] Bakhvalov N. S., Kobelkov G. M., Chizhonkov E. V., “Effektivnye chislennye metody resheniya uravnenii Nave–Stoksa”, Chislen. modelir. v aerogidrodinamike, M., 1986, 37–45
[12] Kobelkov G. M., “Ob odnoi raznostnoi skheme rascheta nestatsionarnykh uravnenii Nave–Stoksa”, Zhurn. vychisl. matem. i matem. fiz., 24:2 (1984), 294–304 | MR
[13] Epshtein B. S., “Ob odnoi skheme tipa peremennykh napravlenii dlya zadachi Nave–Stoksa”, Vestn. Leningr. un-ta, 1974, no. 7, 166–168
[14] Belotserkovskii O. M., Chislennoe modelirovanie v mekhanike sploshnykh sred, Nauka, M., 1984, 520 pp. | MR
[15] Belotserkovskii O. M., Guschin V. A., Schennikov V. V., “Metod rasschepleniya v primenenii k resheniyu zadach dinamiki vyazkoi neszhimaemoi zhidkosti”, Zhurn. vychisl. matem. i matem. fiz., 15:1 (1975), 197–207 | MR
[16] Marchuk G. I., Metody vychislitelnoi matematiki, Nauka, M., 1989, 608 pp. | MR
[17] Lebedev V. I., Metod kompozitsii, Otd. vychisl. matem. AN SSSR, M., 1986, 191 pp. | MR
[18] Lebedev V. I., Bakhvalov N. S., Agoshkov V. I. i dr., Parallelnye algoritmy resheniya nekotorykh statsionarnykh zadach matematicheskoi fiziki, Otd. vychisl. matem. AN SSSR, M., 1984, 142 pp. | MR | Zbl
[19] Ladyzhenskaya O. A., Matematicheskie voprosy dinamiki vyazkoi neszhimaemoi zhidkosti, Nauka, M., 1970, 288 pp. | MR
[20] Samarskii A. A., Nikolaev E. S., Metody resheniya setochnykh uravnenii, Nauka, M., 1978, 592 pp. | MR
[21] Abrashin V. N., “Ob odnom metode razdeleniya na podoblasti pri reshenii zadach matematicheskoi fiziki”, Differents. uravneniya, 31:9 (1995), 1525–1535 | MR | Zbl
[22] Samarskii A. A., Vabischevich P. N., “Additivnye skhemy dekompozitsii oblasti dlya parabolicheskikh zadach”, Differents. uravneniya, 31:9 (1995), 1563–1569 | MR
[23] Laevskii Yu. M., “Ob odnom algoritme dekompozitsii oblasti bez naleganiya podoblastei pri reshenii parabolicheskikh uravnenii”, Zhurn. vychisl. matem. i matem. fiz., 32:11 (1992), 1744–1755 | MR
[24] Abrashin V. N., “Ob odnom iteratsionnom metode resheniya raznostnykh zadach dlya ellipticheskikh uravnenii”, Differents. uravneniya, 31:7 (1998), 911–920 | MR
[25] Volkov V. M., Lekhtikov S. N., “Mnogokomponentnye iteratsionnye metody dekompozitsionnogo tipa dlya dvumernykh statsionarnykh zadach dissipativnogo perenosa”, Differents. uravneniya, 33:7 (1997), 927–933 | MR | Zbl