Geodesic
Numerical solution of differential-algebraic equations using the spline collocation-variation method
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 3, pp. 377-389

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

Numerical methods for solving initial value problems for differential-algebraic equations are proposed. The approximate solution is represented as a continuous vector spline whose coefficients are found using the collocation conditions stated for a subgrid with the number of collocation points less than the degree of the spline and the minimality condition for the norm of this spline in the corresponding spaces. Numerical results for some model problems are presented. 
@article{ZVMMF_2013_53_3_a6,
     author = {M. V. Bulatov and N. P. Rahvalov and L. S. Solovarova},
     title = {Numerical solution of differential-algebraic equations using the spline collocation-variation method},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {377--389},
     publisher = {mathdoc},
     volume = {53},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_3_a6/}
}
TY  - JOUR
AU  - M. V. Bulatov
AU  - N. P. Rahvalov
AU  - L. S. Solovarova
TI  - Numerical solution of differential-algebraic equations using the spline collocation-variation method
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2013
SP  - 377
EP  - 389
VL  - 53
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_3_a6/
LA  - ru
ID  - ZVMMF_2013_53_3_a6
ER  - 
%0 Journal Article
%A M. V. Bulatov
%A N. P. Rahvalov
%A L. S. Solovarova
%T Numerical solution of differential-algebraic equations using the spline collocation-variation method
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2013
%P 377-389
%V 53
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_3_a6/
%G ru
%F ZVMMF_2013_53_3_a6
M. V. Bulatov; N. P. Rahvalov; L. S. Solovarova. Numerical solution of differential-algebraic equations using the spline collocation-variation method. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 3, pp. 377-389. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_3_a6/