Geodesic
On numerical solution of ordinary differential equations with discontinuities
Applications of Mathematics, Tome 33 (1988) no. 6, pp. 487-492

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

The author defines the numerical solution of a first order ordinary differential equation on a bounded interval in the way covering the general form of the so called one-step methods, proves convergence of the method (without the assumption of continuity of the righthad side) and gives a sufficient condition for the order of convergence to be $O(h^v)$.
DOI : 10.21136/AM.1988.104326
Classification : 34A34, 65L05
Keywords: discontinuities; system; one-step method; convergence; order of convergence; numerical solution of differential equations 
@article{10_21136_AM_1988_104326,
     author = {Jankowski, Tadeusz},
     title = {On numerical solution of ordinary differential equations with discontinuities},
     journal = {Applications of Mathematics},
     pages = {487--492},
     publisher = {mathdoc},
     volume = {33},
     number = {6},
     year = {1988},
     doi = {10.21136/AM.1988.104326},
     mrnumber = {0973242},
     zbl = {0671.65061},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1988.104326/}
}
TY  - JOUR
AU  - Jankowski, Tadeusz
TI  - On numerical solution of ordinary differential equations with discontinuities
JO  - Applications of Mathematics
PY  - 1988
SP  - 487
EP  - 492
VL  - 33
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1988.104326/
DO  - 10.21136/AM.1988.104326
LA  - en
ID  - 10_21136_AM_1988_104326
ER  - 
%0 Journal Article
%A Jankowski, Tadeusz
%T On numerical solution of ordinary differential equations with discontinuities
%J Applications of Mathematics
%D 1988
%P 487-492
%V 33
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1988.104326/
%R 10.21136/AM.1988.104326
%G en
%F 10_21136_AM_1988_104326
Jankowski, Tadeusz. On numerical solution of ordinary differential equations with discontinuities. Applications of Mathematics, Tome 33 (1988) no. 6, pp. 487-492. doi: 10.21136/AM.1988.104326

Cité par Sources :