Geodesic
Regularization of differential-algebraic equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 12, pp. 2181-2193

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

Linear systems of ordinary differential equations with an identically singular or rectangular matrix multiplying the derivative of the unknown vector function are numerically solved by applying the least squares method and Tikhonov regularization. The deviation of the solution of the regularized problem from the solution set of the original problem is estimated depending on the regularization parameter. 
@article{ZVMMF_2011_51_12_a4,
     author = {V. F. Chistyakov},
     title = {Regularization of differential-algebraic equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {2181--2193},
     publisher = {mathdoc},
     volume = {51},
     number = {12},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_12_a4/}
}
TY  - JOUR
AU  - V. F. Chistyakov
TI  - Regularization of differential-algebraic equations
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2011
SP  - 2181
EP  - 2193
VL  - 51
IS  - 12
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_12_a4/
LA  - ru
ID  - ZVMMF_2011_51_12_a4
ER  - 
%0 Journal Article
%A V. F. Chistyakov
%T Regularization of differential-algebraic equations
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2011
%P 2181-2193
%V 51
%N 12
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_12_a4/
%G ru
%F ZVMMF_2011_51_12_a4
V. F. Chistyakov. Regularization of differential-algebraic equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 12, pp. 2181-2193. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_12_a4/