Six-stages method of order 3 for the solution of additive stiff systems
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 10 (2007) no. 3, pp. 307-316.

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

In this paper, we construct a method of the third order of accuracy to solve additive autonomous stiff systems of ordinary differential equations. Inequalities for accuracy control are obtained. The results of calculations are presented.
@article{SJVM_2007_10_3_a7,
     author = {E. A. Novikov and A. O. Tuzov},
     title = {Six-stages method of order 3 for the solution of additive stiff systems},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {307--316},
     publisher = {mathdoc},
     volume = {10},
     number = {3},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2007_10_3_a7/}
}
TY  - JOUR
AU  - E. A. Novikov
AU  - A. O. Tuzov
TI  - Six-stages method of order 3 for the solution of additive stiff systems
JO  - Sibirskij žurnal vyčislitelʹnoj matematiki
PY  - 2007
SP  - 307
EP  - 316
VL  - 10
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJVM_2007_10_3_a7/
LA  - ru
ID  - SJVM_2007_10_3_a7
ER  - 
%0 Journal Article
%A E. A. Novikov
%A A. O. Tuzov
%T Six-stages method of order 3 for the solution of additive stiff systems
%J Sibirskij žurnal vyčislitelʹnoj matematiki
%D 2007
%P 307-316
%V 10
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJVM_2007_10_3_a7/
%G ru
%F SJVM_2007_10_3_a7
E. A. Novikov; A. O. Tuzov. Six-stages method of order 3 for the solution of additive stiff systems. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 10 (2007) no. 3, pp. 307-316. http://geodesic.mathdoc.fr/item/SJVM_2007_10_3_a7/

[1] Khairer E., Vanner G., Reshenie obyknovennykh differentsialnykh uravnenii. Zhestkie i differentsialno-algebraicheskie zadachi, Mir, M., 1999

[2] Cooper G. J., Sayfy A., “Additive Runge–Kutta Methods for Stiff Ordinary Differential Equations”, Mathematics of Computation, 40:161 (1983), 207–218 | DOI | MR | Zbl

[3] Novikov E. A., “Neodnorodnyi metod vtorogo poryadka dlya zhestkikh sistem”, Vychislitelnye tekhnologii, 10:2 (2005), 74–86 | Zbl

[4] Novikov E. A., Yavnye metody dlya zhestkikh sistem, Nauka, Novosibirsk, 1997 | MR

[5] Enright W. H., Hull T. E., “Comparing numerical methods for the solutions of stiff systems of ODE's”, BIT, 15 (1975), 10–48 | DOI | Zbl

[6] Merson R. H., “An operational methods for integration processes”, Proc. Symp. on Data Proc. Weapons Research Establishment, Salisbury, Australia, 1957, 329–330

[7] Fehlberg E., “Classical fifth-, sixth-, seventh- and eighth order Runge–Kutta formulas with step size control”, Computing, 4 (1969), 93–106 | DOI | MR | Zbl

[8] Gear C. W., “The automatic integration of stiff ordinary differential equations”, Proc. IFIP Congress, 1968, 81–85 | MR