A method of increasing the order of the weak approximation of the laws of conservation on discontinuous solutions
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 36 (1996) no. 10, pp. 146-157 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_1996_36_10_a13,
     author = {V. V. Ostapenko},
     title = {A method of increasing the order of the weak approximation of the laws of conservation on discontinuous solutions},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {146--157},
     year = {1996},
     volume = {36},
     number = {10},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_10_a13/}
}
TY  - JOUR
AU  - V. V. Ostapenko
TI  - A method of increasing the order of the weak approximation of the laws of conservation on discontinuous solutions
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1996
SP  - 146
EP  - 157
VL  - 36
IS  - 10
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_10_a13/
LA  - ru
ID  - ZVMMF_1996_36_10_a13
ER  - 
%0 Journal Article
%A V. V. Ostapenko
%T A method of increasing the order of the weak approximation of the laws of conservation on discontinuous solutions
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1996
%P 146-157
%V 36
%N 10
%U http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_10_a13/
%G ru
%F ZVMMF_1996_36_10_a13
V. V. Ostapenko. A method of increasing the order of the weak approximation of the laws of conservation on discontinuous solutions. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 36 (1996) no. 10, pp. 146-157. http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_10_a13/

[1] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1983 | MR

[2] Godunov C. K., Ryabenkii B. C., Raznostnye skhemy, Nauka, M., 1973 | Zbl

[3] Rozhdestvenskii B. L., Yanenko N. N., Sistemy kvazilineinykh uravnenii, Nauka, M., 1978 | MR

[4] Samarskii A. A., Popov Yu. P., Raznostnye metody resheniya zadach gazovoi dinamiki, Nauka, M., 1980 | MR

[5] Shokin Yu. I., Yanenko H. H., Metod differentsialnogo priblizheniya, Nauka, Novosibirsk, 1985 | Zbl

[6] Voevodin A. F., Shugrin S. M., Metody resheniya odnomernykh evolyutsionnykh sistem, Nauka, Novosibirsk, 1993 | MR

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

[8] Glimm J., “Solution in the large for nonlinear hyperbolic systems of equations”, Communs. Pure and Appl. Math., 18 (1965), 697–715 | DOI | 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), 1601–1602 | MR

[10] Kopchenov V. I., Kraiko A. N., “Monotonnaya raznostnaya skhema vtorogo poryadka dlya giperbolicheskikh sistem s dvumya nezavisimymi peremennymi”, Zh. vychisl. matem. i matem. fiz., 23:4 (1983), 848–859 | MR

[11] Harten A., “High resolution schemes for hyperbolic conservation laws”, J. Comput. Phys., 49 (1983), 357–393 | 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] Samarskii A. A., Lazarov R. D., Makarov V. L., Raznostnye skhemy dlya differentsialnykh uravnenii s obobschennymi resheniyami, Vyssh. shkola, M., 1987

[15] Lax P., Wendroff B., “Systems of conservation laws”, Communs. Pure and Appl. Math., 13 (1960), 217–237 | DOI | MR | Zbl

[16] Godunov S. K., “Otsenki nevyazok dlya priblizhennykh reshenii prosteishikh uravnenii gazovoi dinamiki”, Zh. vychisl. matem. i matem. fiz., 1:4 (1961), 622–637 | MR | Zbl

[17] Harten A., Hyman J. M., Lax P. D., “On finite-difference approximations and entropy conditions for shocks”, Communs. Pure and Appl. Math., 29 (1976), 297–322 | DOI | MR | Zbl

[18] Di Perna Ronald J., “Finite difference schemes for conservation laws”, Communs. Pure and Appl. Math., 25 (1982), 379–450 | MR

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

[20] Ostapenko V. V., “Approksimatsiya zakonov sokhraneniya na neodnorodnoi raznostnoi setke”, Zh. vychisl. matem. i matem. fiz., 33:11 (1993), 1663–1680 | MR | Zbl