Geodesic
Implicit scheme on different time meshes for semilinear parabolic equations
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 3 (2000) no. 2, pp. 151-158

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

A method of the construction of difference schemes with different time-step in the subdomains is suggested. It is associated with the interpolation of a solution on a boundary of subdomains. In the case of a semilinear parabolic equation, it is proved that the solution of difference problem converges to that of a differential problem with the order $O(\tau)$. 
@article{SJVM_2000_3_2_a5,
     author = {V. I. Drobyshevich},
     title = {Implicit scheme on different time meshes for semilinear parabolic equations},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {151--158},
     publisher = {mathdoc},
     volume = {3},
     number = {2},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2000_3_2_a5/}
}
TY  - JOUR
AU  - V. I. Drobyshevich
TI  - Implicit scheme on different time meshes for semilinear parabolic equations
JO  - Sibirskij žurnal vyčislitelʹnoj matematiki
PY  - 2000
SP  - 151
EP  - 158
VL  - 3
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJVM_2000_3_2_a5/
LA  - ru
ID  - SJVM_2000_3_2_a5
ER  - 
%0 Journal Article
%A V. I. Drobyshevich
%T Implicit scheme on different time meshes for semilinear parabolic equations
%J Sibirskij žurnal vyčislitelʹnoj matematiki
%D 2000
%P 151-158
%V 3
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJVM_2000_3_2_a5/
%G ru
%F SJVM_2000_3_2_a5
V. I. Drobyshevich. Implicit scheme on different time meshes for semilinear parabolic equations. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 3 (2000) no. 2, pp. 151-158. http://geodesic.mathdoc.fr/item/SJVM_2000_3_2_a5/