Geodesic
New splitting methods for two-dimensional evolutionary equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 7, pp. 1187-1191 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

New second- and third-order splitting methods are proposed for evolutionary-type partial differential equations in a two-dimensional space. These methods are derived on the basis of diagonally implicit methods applied to the numerical analysis of stiff ordinary differential equations. The splitting methods are found to be absolutely unconditionally stable. Test calculations are presented. 
@article{ZVMMF_2007_47_7_a5,
     author = {N. V. Shirobokov},
     title = {New splitting methods for two-dimensional evolutionary equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1187--1191},
     year = {2007},
     volume = {47},
     number = {7},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_7_a5/}
}
TY  - JOUR
AU  - N. V. Shirobokov
TI  - New splitting methods for two-dimensional evolutionary equations
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2007
SP  - 1187
EP  - 1191
VL  - 47
IS  - 7
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_7_a5/
LA  - ru
ID  - ZVMMF_2007_47_7_a5
ER  - 
%0 Journal Article
%A N. V. Shirobokov
%T New splitting methods for two-dimensional evolutionary equations
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2007
%P 1187-1191
%V 47
%N 7
%U http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_7_a5/
%G ru
%F ZVMMF_2007_47_7_a5
N. V. Shirobokov. New splitting methods for two-dimensional evolutionary equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 7, pp. 1187-1191. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_7_a5/

[1] Dekker K., Verver Ya., Ustoichivost metodov Runge–Kutty dlya zhestkikh nelineinykh differentsialnykh uravnenii, Mir, M., 1988 | MR

[2] Shirobokov N. V., “Diagonalno-neyavnye skhemy Runge–Kutty”, Zh. vychisl. matem. i matem. fiz., 42:7 (2002), 1013–1018 | MR | Zbl

[3] Shirobokov N. V., “Rasscheplenie chetvertogo poryadka evolyutsionnykh uravnenii v dvumernom prostranstve na osnove diagonalno-neyavnykh metodov”, Zh. vychisl. matem. i matem. fiz., 44:10 (2004), 1824–1828 | MR | Zbl

[4] Marchuk G. I., Osnovy vychislitelnoi matematiki, Nauka, M., 1980 | MR