Geodesic
Some problems connected with the absolute stability of explicit one-step methods
Mathematica Applicanda, Tome 13 (1985) no. 26, pp. 163-197.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

Regions of absolute stability for several examples of Runge-Kutta methods, Bobkov methods, Richardson extrapolation of Runge-Kutta methods are investigated. For the Richardson extrapolation of Runge-Kutta methods the method with maximal order of convergence is found.
DOI : 10.14708/ma.v13i26.1654
Classification : 65L20
Mots-clés : Stability and convergence of numerical methods 
@article{10_14708_ma_v13i26_1654,
     author = {Mieczys{\l}aw Szyszkowicz},
     title = {Some problems connected with the absolute stability of explicit one-step methods},
     journal = {Mathematica Applicanda},
     pages = { 163--197},
     publisher = {mathdoc},
     volume = {13},
     number = {26},
     year = {1985},
     doi = {10.14708/ma.v13i26.1654},
     language = {pl},
     url = {http://geodesic.mathdoc.fr/articles/10.14708/ma.v13i26.1654/}
}
TY  - JOUR
AU  - Mieczysław Szyszkowicz
TI  - Some problems connected with the absolute stability of explicit one-step methods
JO  - Mathematica Applicanda
PY  - 1985
SP  -  163
EP  - 197
VL  - 13
IS  - 26
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14708/ma.v13i26.1654/
DO  - 10.14708/ma.v13i26.1654
LA  - pl
ID  - 10_14708_ma_v13i26_1654
ER  - 
%0 Journal Article
%A Mieczysław Szyszkowicz
%T Some problems connected with the absolute stability of explicit one-step methods
%J Mathematica Applicanda
%D 1985
%P  163-197
%V 13
%N 26
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14708/ma.v13i26.1654/
%R 10.14708/ma.v13i26.1654
%G pl
%F 10_14708_ma_v13i26_1654
Mieczysław Szyszkowicz. Some problems connected with the absolute stability of explicit one-step methods. Mathematica Applicanda, Tome 13 (1985) no. 26, pp.  163-197. doi : 10.14708/ma.v13i26.1654. http://geodesic.mathdoc.fr/articles/10.14708/ma.v13i26.1654/

Cité par Sources :