On numerical integration of implicit ordinary differential equations
Applications of Mathematics, Tome 26 (1981) no. 2, pp. 97-110.

Voir la notice de l'article dans Czech Digital Mathematics Library

In this paper it is shown how the numerical methods for ordinary differential equations can be adapted to implicit ordinary differential equations. The resulting methods are of the same order as the corresponding methods for ordinary differential equations. The convergence theorem is proved and some numerical examples are given.
DOI : 10.21136/AM.1981.103901
Classification : 65J15, 65L05
Mots-clés : nonstationary quasilinear multistep methods; implicit ordinary differential equations; convergence theorem; numerical examples 
@article{10_21136_AM_1981_103901,
     author = {Jackiewicz, Zdzis{\l}aw and Kwapisz, Marian},
     title = {On numerical integration of implicit ordinary differential equations},
     journal = {Applications of Mathematics},
     pages = {97--110},
     publisher = {mathdoc},
     volume = {26},
     number = {2},
     year = {1981},
     doi = {10.21136/AM.1981.103901},
     mrnumber = {0612667},
     zbl = {0469.65058},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1981.103901/}
}
TY  - JOUR
AU  - Jackiewicz, Zdzisław
AU  - Kwapisz, Marian
TI  - On numerical integration of implicit ordinary differential equations
JO  - Applications of Mathematics
PY  - 1981
SP  - 97
EP  - 110
VL  - 26
IS  - 2
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1981.103901/
DO  - 10.21136/AM.1981.103901
LA  - en
ID  - 10_21136_AM_1981_103901
ER  - 
%0 Journal Article
%A Jackiewicz, Zdzisław
%A Kwapisz, Marian
%T On numerical integration of implicit ordinary differential equations
%J Applications of Mathematics
%D 1981
%P 97-110
%V 26
%N 2
%I mathdoc
%U https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1981.103901/
%R 10.21136/AM.1981.103901
%G en
%F 10_21136_AM_1981_103901
Jackiewicz, Zdzisław; Kwapisz, Marian. On numerical integration of implicit ordinary differential equations. Applications of Mathematics, Tome 26 (1981) no. 2, pp. 97-110. doi : 10.21136/AM.1981.103901. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1981.103901/

Cité par Sources :