Geodesic
Preservation of stability type of difference schemes when solving stiff differential algebraic equations
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 14 (2011) no. 4, pp. 443-456

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

Implicit methods applied to the numerical solution of systems of ordinary differential equations (ODEs) with an identically singular matrix multiplying the derivative of the sought-for vector-function are considered. The effects produced by losing $L$-stability of a classical implicit Euler scheme when solving such stiff systems are discussed. 
@article{SJVM_2011_14_4_a7,
     author = {V. F. Chistyakov},
     title = {Preservation of stability type of difference schemes when solving stiff differential algebraic equations},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {443--456},
     publisher = {mathdoc},
     volume = {14},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2011_14_4_a7/}
}
TY  - JOUR
AU  - V. F. Chistyakov
TI  - Preservation of stability type of difference schemes when solving stiff differential algebraic equations
JO  - Sibirskij žurnal vyčislitelʹnoj matematiki
PY  - 2011
SP  - 443
EP  - 456
VL  - 14
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJVM_2011_14_4_a7/
LA  - ru
ID  - SJVM_2011_14_4_a7
ER  - 
%0 Journal Article
%A V. F. Chistyakov
%T Preservation of stability type of difference schemes when solving stiff differential algebraic equations
%J Sibirskij žurnal vyčislitelʹnoj matematiki
%D 2011
%P 443-456
%V 14
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJVM_2011_14_4_a7/
%G ru
%F SJVM_2011_14_4_a7
V. F. Chistyakov. Preservation of stability type of difference schemes when solving stiff differential algebraic equations. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 14 (2011) no. 4, pp. 443-456. http://geodesic.mathdoc.fr/item/SJVM_2011_14_4_a7/