Fourth-order diagonally implicit schemes for evolution equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 6, pp. 1080-1084 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

New fourth-order methods are proposed for solving both ordinary and partial differential equations. The derivation of the methods is based on the form of diagonally implicit schemes applied to stiff ordinary differential equations. The methods are absolutely and unconditionally stable. Test computations are presented.
@article{ZVMMF_2009_49_6_a10,
     author = {N. V. Shirobokov},
     title = {Fourth-order diagonally implicit schemes for evolution equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1080--1084},
     year = {2009},
     volume = {49},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_6_a10/}
}
TY  - JOUR
AU  - N. V. Shirobokov
TI  - Fourth-order diagonally implicit schemes for evolution equations
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2009
SP  - 1080
EP  - 1084
VL  - 49
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_6_a10/
LA  - ru
ID  - ZVMMF_2009_49_6_a10
ER  - 
%0 Journal Article
%A N. V. Shirobokov
%T Fourth-order diagonally implicit schemes for evolution equations
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2009
%P 1080-1084
%V 49
%N 6
%U http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_6_a10/
%G ru
%F ZVMMF_2009_49_6_a10
N. V. Shirobokov. Fourth-order diagonally implicit schemes for evolution equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 6, pp. 1080-1084. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_6_a10/

[1] Dzh. Kholl, Dzh. Uatt (red.), Sovremennye chislennye metody resheniya obyknovennykh differentsialnykh uravnenii, Mir, M., 1979

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

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

[4] Shirobokov N. V., “Rasscheplenie evolyutsionnykh uravnenii na osnove diagonalno-neyavnykh metodov tretego poryadka”, Zh. vychisl. matem. i matem. fiz., 45:2 (2005), 262–266 | MR | Zbl