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@article{MM_2003_15_10_a5, author = {V. M. Goloviznin and S. A. Karabasov}, title = {Balancing characteristic schemes on piecewise constant initial data. {Jumping} transfer}, journal = {Matemati\v{c}eskoe modelirovanie}, pages = {71--83}, publisher = {mathdoc}, volume = {15}, number = {10}, year = {2003}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MM_2003_15_10_a5/} }
TY - JOUR AU - V. M. Goloviznin AU - S. A. Karabasov TI - Balancing characteristic schemes on piecewise constant initial data. Jumping transfer JO - Matematičeskoe modelirovanie PY - 2003 SP - 71 EP - 83 VL - 15 IS - 10 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MM_2003_15_10_a5/ LA - ru ID - MM_2003_15_10_a5 ER -
V. M. Goloviznin; S. A. Karabasov. Balancing characteristic schemes on piecewise constant initial data. Jumping transfer. Matematičeskoe modelirovanie, Tome 15 (2003) no. 10, pp. 71-83. http://geodesic.mathdoc.fr/item/MM_2003_15_10_a5/
[1] R. Rouch, Vychislitelnaya gidrodinamika, Mir, M., 1976
[2] A. A. Samarskii, P. N. Vabischevich, Chislennye metody resheniya zadach konvektsii-diffuzii, Editoral URSS, M., 1999
[3] B. L. Rozhdestvenskii, N. N. Yanenko, Sistemy kvazilineinykh uravnenii, Nauka, M., 1978 | MR | Zbl
[4] A. A. Samarskii, Teoriya raznostnykh skhem, Nauka, M., 1989 | MR
[5] S. K. Godunov, “Raznostnyi metod chislennogo resheniya razryvnykh reshenii uravnenii gidrodinamiki”, Matem. sb., 47(89):3 (1959), 271–306 | MR | Zbl
[6] V. P. Kolgan, “Konechno-raznostnaya skhema dlya rascheta dvumernykh razryvnykh reshenii nestatsionarnoi gazovoi dinamiki”, Uch. Zap. TsAGIYu, 3:6 (1972), 68–77
[7] J. P. Boris , D. L. Book, K. Hain, “Flux-corrected transport: Generalization of the method”, J. Comput. Physics, 31 (1975), 335–350
[8] Van Leer B., “Towards the ultimate conservative difference scheme, V. A second-order sequel to Godunov's method”, J. Comput. Physics, 32 (1979), 101–137 | DOI | MR
[9] A. Harten, “High resolution schemes for hyperbolic conservation laws”, J. Comput. Phys., 49 (1983), 357–393 | DOI | MR | Zbl
[10] K. V. Vyaznikov, V. F. Tishkin, A. P. Favorskii, M. Yu. Shashkov, Kvazimonotonnye raznostnye skhemy povyshennogo poryadka tochnosti, Preprint IPM AN SSSR im. M. V. Keldysha, No 36, M., 1983
[11] A. Harten, S. Osher, “Uniformly high-order accurate non-oscillatory schemes, I”, SIAM. J. Numer. Anal., 24:2 (1987) | DOI | MR | Zbl
[12] B. P. Leonard, “Simple high-accuracy resolution program for convective modelling of discontinuties”, Int. J. Numer. Methods Fluids, 8 (1988), 1291 | DOI | Zbl
[13] A. Harten, “ENO Schemes With Subcell Resolution”, J. Comput. Physics, 83 (1989), 148–184 | DOI | MR | Zbl
[14] V. M. Goloviznin, S. A. Karabasov, Metod pryzhkovogo perenosa dlya chislennogo resheniya giperbolicheskikh uravnenii. Tochnyi algoritm dlya modelirovaniya konvektsii na eilerovykh setkakh, Preprint IBRAE No IBRAE-2000-04, M., 2000 | Zbl
[15] A. V. Nikiforova, V. A. Tarasov, V. E. Troschiev, “O reshenii kineticheskikh uravnenii divergentnym metodom kharakteristik”, ZhVM i MF, 12:4 (1972), 1041–1048 | MR | Zbl
[16] V. M. Goloviznin, S. A. Karabasov, I. M. Kobrinskii, “Balansno-kharakteristicheskie skhemy s razdelennymi konservativnymi i potokovymi peremennymi”, Matem. modelirovanie, 15:9 (2003), 29–48 | MR | Zbl
[17] V. M. Goloviznin, A. A. Samarskii, “Raznostnaya approksimatsiya konvektivnogo perenosa s prostranstvennym rasschepleniem vremennoi proizvodnoi”, Matem. modelirovanie, 10:1 (1998), 86–100 | MR
[18] V. M. Goloviznin, A. A. Samarskii, “Nekotorye svoistva raznostnoi skhemy “Kabare””, Matem. modelirovanie, 10:1 (1998), 101–116 | MR
[19] P. Colella, E. G. Puckett, Modern Numerical Method for Fluid Flow
[20] A. I. Zhukov, Primenenie metoda kharakteristik k chislennomu resheniyu odnomernykh zadach gazovoi dinamiki, Tr. Matem. in-ta AN SSSR, 58, Izd-vo AN SSSR, M., 1960 | MR | Zbl
[21] S. M. Bakhrakh, Yu. P. Glagolkova, M. S. Semigulin i dr., “Raschet gazodinamicheskikh techenii na osnove metoda kontsentratsii”, Dokl. AN SSSR, 257:3 (1981), 566–568
[22] C. W. Hirt, B. D. Nicholls, “Volume of fluid (VOF) method for the dynamics of free boundaries”, J. Comput. Phys., 39 (1981), 201 | DOI | Zbl
[23] P. Degond, Mas-Gallic, “The weighed particle for convection-diffusion equations. Hart. 1. The case of an isotropic viscosity”, Math. Comput., 53 (1990), 485. | MR
[24] V. M. Goloviznin, S. A. Karabasov, L. V. Tishkina, Metod pryzhkovogo perenosa dlya chislennogo resheniya sistem lineinykh giperbolicheskikh uravnenii, Preprint IBRAE RAN No IBRAE-2000-06, M., 2000 | Zbl