Geodesic
The maximum principle and nonlinear monotone schemes for parabolic equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 39 (1999) no. 4, pp. 618-629 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_1999_39_4_a9,
     author = {V. V. Akimenko},
     title = {The maximum principle and nonlinear monotone schemes for parabolic equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {618--629},
     year = {1999},
     volume = {39},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_4_a9/}
}
TY  - JOUR
AU  - V. V. Akimenko
TI  - The maximum principle and nonlinear monotone schemes for parabolic equations
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1999
SP  - 618
EP  - 629
VL  - 39
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_4_a9/
LA  - ru
ID  - ZVMMF_1999_39_4_a9
ER  - 
%0 Journal Article
%A V. V. Akimenko
%T The maximum principle and nonlinear monotone schemes for parabolic equations
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1999
%P 618-629
%V 39
%N 4
%U http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_4_a9/
%G ru
%F ZVMMF_1999_39_4_a9
V. V. Akimenko. The maximum principle and nonlinear monotone schemes for parabolic equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 39 (1999) no. 4, pp. 618-629. http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_4_a9/

[1] Tikhonov A. N., Samarskii A. A., “Ob ustoichivosti raznostnykh skhem”, Dokl. AN SSSR, 149:3 (1963), 529–531 | MR

[2] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1989 | MR

[3] Samarskii A. A., “O regulyarizatsii raznostnykh skhem”, Zh. vychisl. matem. i matem. fiz., 7:1 (1967), 62–93 | MR

[4] Godunov S. K., Zabrodin A. V., Ivanov M. Ya. i dr., Chislennye metody resheniya mnogomernykh zadach gazovoi dinamiki, Nauka, M., 1976 | Zbl

[5] Fedorenko R. P., “Primenenie raznostnykh skhem vysokoi tochnosti dlya chislennogo resheniya giperbolicheskikh uravnenii”, Zh. vychisl. matem. i matem. fiz., 2:6 (1962), 1122–1128 | MR | Zbl

[6] Van Leer B., “Towards the ultimate conservative difference scheme. 2. Monotonicity and conservation combined in a second-order scheme”, J. Comput. Phys., 14 (1974), 360–370

[7] Dymnikov V. P., Aloyan A. E., “Monotonnye skhemy resheniya uravnenii perenosa v zadachakh prognoza pogody, ekologii i teorii klimata”, Izv. AN SSSR. Fiz. atmosfery i okeana, 26:12 (1990), 1237–1247 | MR

[8] Pinchukov V. I., “O monotonizatsii odnogo semeistva neyavnykh skhem”, Zh. vychisl. matem. i matem. fiz., 30:5 (1990), 672–679 | MR | Zbl

[9] Vyaznikov K. V., Tishkin V. F., Favorskii A. P., “Postroenie monotonnykh raznostnykh skhem na neravnomernykh setkakh”, Matem. modelirovanie, 1:5 (1989), 95–120 | MR | Zbl

[10] Dyakonov E. G., “Raznostnye skhemy s rasscheplyayuschimsya operatorom dlya mnogomernykh nestatsionarnykh zadach”, Zh. vychisl. matem. i matem. fiz., 2:4 (1962), 549–568 | MR