Geodesic
L-stable (4,2)-method of the fourth order for solving stiff problems
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 8 (2011), pp. 59-68

Voir la notice de l'article provenant de la source Math-Net.Ru

(M,k)-methods for solving stiff problems, in which on each step two times the right-hand side of the system of differential equations is calculated are investigated. It is shown that the maximum order of accuracy of the L-stable (m,2)-method is equal to four. (4,2)-method of maximal order is built.
Keywords: stiff problem, methods of Rosenbrock, (m,k)-methods, L-stability. 
@article{VSGU_2011_8_a6,
     author = {E. A. Novikov},
     title = {L-stable (4,2)-method of the fourth order for solving stiff problems},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {59--68},
     publisher = {mathdoc},
     number = {8},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2011_8_a6/}
}
TY  - JOUR
AU  - E. A. Novikov
TI  - L-stable (4,2)-method of the fourth order for solving stiff problems
JO  - Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
PY  - 2011
SP  - 59
EP  - 68
IS  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGU_2011_8_a6/
LA  - ru
ID  - VSGU_2011_8_a6
ER  - 
%0 Journal Article
%A E. A. Novikov
%T L-stable (4,2)-method of the fourth order for solving stiff problems
%J Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
%D 2011
%P 59-68
%N 8
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGU_2011_8_a6/
%G ru
%F VSGU_2011_8_a6
E. A. Novikov. L-stable (4,2)-method of the fourth order for solving stiff problems. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 8 (2011), pp. 59-68. http://geodesic.mathdoc.fr/item/VSGU_2011_8_a6/