Geodesic
Absolutely stable third-order accurate Runge–Kutta schemes
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 39 (1999) no. 11, pp. 1855-1868 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_1999_39_11_a5,
     author = {V. I. Pinchukov},
     title = {Absolutely stable third-order accurate {Runge{\textendash}Kutta} schemes},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1855--1868},
     year = {1999},
     volume = {39},
     number = {11},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_11_a5/}
}
TY  - JOUR
AU  - V. I. Pinchukov
TI  - Absolutely stable third-order accurate Runge–Kutta schemes
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1999
SP  - 1855
EP  - 1868
VL  - 39
IS  - 11
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_11_a5/
LA  - ru
ID  - ZVMMF_1999_39_11_a5
ER  - 
%0 Journal Article
%A V. I. Pinchukov
%T Absolutely stable third-order accurate Runge–Kutta schemes
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1999
%P 1855-1868
%V 39
%N 11
%U http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_11_a5/
%G ru
%F ZVMMF_1999_39_11_a5
V. I. Pinchukov. Absolutely stable third-order accurate Runge–Kutta schemes. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 39 (1999) no. 11, pp. 1855-1868. http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_11_a5/

[1] Rusanov V. V., “Raznostnye skhemy tretego poryadka tochnosti dlya skvoznogo rascheta razryvnykh reshenii”, Dokl. AN SSSR, 180:6 (1968), 1303–1305 | MR | Zbl

[2] Burstein S. Z., Mirin A. A., “Third order difference methods for hyperbolic equations”, J. Comput. Phys., 5:3 (1970), 547–571 | DOI | MR | Zbl

[3] Kutler P., Lomax H., Warming R., Computation of space shuttle flow fields using non-centered finite-difference schemes, AIAA Paper, No 72-193, 1972, 25 pp.

[4] Shu C. W., “Total-variation-diminishing time discretizations”, SIAM J. Sci. Statist. Comput., 9:6 (1988), 1073–1084 | DOI | MR | Zbl

[5] Tolstykh A. M., Kompaktnye raznostnye skhemy i ikh prilozheniya k problemam aerogidrodinamiki, Nauka, M., 1990 | MR

[6] Pinchukov V. I., Chislennye metody aerogidromekhaniki vysokikh poryadkov approksimatsii, Novosibirskii gos. un-t, Novosibirsk, 1997 | Zbl

[7] Harten A. A., “A High resolution scheme for the computation of weak solutions of hyperbolic conservation laws”, J. Comput. Phys., 49:3 (1983), 357–393 | DOI | MR | Zbl

[8] Osher S., Shu C.-W., “Efficient implementation of essentially nonoscillatoryy shock-capturring schemes”, J. Comput. Phys., 77:2 (1988), 439–471 | DOI | MR | Zbl

[9] Pinchukov V. I., “Korrektsiya potokov v mnogomernykh zadachakh giperbolicheskogo i parabolicheskogo tipov”, Zh. vychisl. matem. i matem. fiz., 36:4 (1996), 26–40 | MR | Zbl

[10] Pinchukov V. I., “Nelineinye raznostnye filtry i ikh ispolzovanie pri chislennom integrirovanii razryvnykh reshenii”, Dokl. RAN, 337:3 (1994), 312–315

[11] Pinchukov V. I., “Entropiinye i kvazientropiinye usloviya dlya skhem vysokikh poryadkov approksimatsii”, Vychisl. tekhnol., 36:4 (1997), 26–40 | MR

[12] Shu C. W., “TVB uniformly high-order schemes for conservation laws”, Math. Comput., 49:179 (1987), 105–121 | DOI | MR | Zbl