Strong monotonicity of finite-difference schemes for systems of conservation laws
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 39 (1999) no. 10, pp. 1687-1704 Cet article a éte moissonné depuis la source Math-Net.Ru

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V. V. Ostapenko. Strong monotonicity of finite-difference schemes for systems of conservation laws. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 39 (1999) no. 10, pp. 1687-1704. http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_10_a7/

[1] Lax P. D., Hyperbolic systems of conservation laws and the mathematical theory of shock waves, Soc. Industr. and Appl. Math., Philadelphia, 1972 | MR | Zbl

[2] Rozhdestvenskii B. L., Yanenko H. H., Sistemy kvazilineinykh uravnenii, Nauka, M., 1978

[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., 1978 | MR

[5] Godunov S. K., “Raznostnyi metod chislennogo rascheta razryvnykh reshenii uravnenii gidrodinamiki”, Matem. sb., 47:3 (1959), 271–306 | MR | Zbl

[6] 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

[7] Harten A., “High resolution schemes for hyperbolic conservation laws”, J. Comput. Phys., 49 (1983), 357–393 | DOI | MR | Zbl

[8] Harten A., Osher S., “Uniformly high-order accurate nonoscillatory schemes”, SIAM J. Numer. Ahalys., 24:2 (1987), 297–309 | MR

[9] Vyaznikov K. B., Tishkin V. F., Favorskii A. P., “Postroenie monotonnykh raznostnykh skhem povyshennogo poryadka approksimatsii dlya sistem uravnenii giperbolicheskogo tipa”, Matem. modelirovanie, 1:5 (1989), 95–120 | MR | Zbl

[10] Pinchukov V. I., “O postroenii monotonnykh skhem tipa prediktor-korrektor proizvolnogo poryadka approksimatsii”, Matem. modelirovanie, 3:9 (1991), 95–103 | MR | Zbl

[11] Ilin S. A., Timofeev E. V., “Sravnenie kvazimonotonnykh raznostnykh skhem skvoznogo scheta na zadache Koshi dlya odnomernogo lineinogo uravneniya perenosa”, Matem. modelirovanie, 4:3 (1992), 62–75

[12] Ostapenko V. V., “O monotonnosti raznostnykh skhem”, Sibirskii matem. zhurnal, 39:5 (1998), 1111–1126 | MR | Zbl

[13] Ostapenko V. V., “O silnoi monotonnosti nelineinykh raznostnykh skhem”, Zh. vychisl. matem. i matem. fiz., 38:7 (1998), 1170–1185 | MR | Zbl

[14] Ostapenko V. V., “O skhodimosti raznostnykh skhem za frontom nestatsionarnoi udarnoi volny”, Zh. vychisl. matem. i matem. fiz., 37:10 (1997), 1201–1212 | MR | Zbl

[15] Ostapenko V. V., “Ob approksimatsii zakonov sokhraneniya raznostnymi skhemami skvoznogo scheta”, Zh. vychisl. matem. i matem. fiz., 30:9 (1990), 1405–1417 | MR

[16] Lax P. D., “Weak solutions of nonlinear hyperbolic equations and their numerical computation”, Communs Pure and Appl. Math., 7 (1954), 159–493 | DOI | MR

[17] Roe P. L., “Approximate Riemann solvers, parameter vectors and difference schemes”, J. Comput. Phys., 43 (1981), 357–372 | DOI | MR | Zbl

[18] Arora M., Roe P., “On postshock oscillations due to shock capturing schemes in unsteady flows”, J. Comput. Phys., 130 (1997), 25–40 | DOI | MR | Zbl

[19] 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

[20] Ostapenko V. V., “Difference scheme of high accuracy in the area of influence on nonstationary shock”, Proc. II Internat. Conf. “Finite-difference methods: theory and application”, V. 3 (Minsk, Belarus), 1998, 27–31 | MR