Geodesic
Implicit difference methods for evolution functional differential equations
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 14 (2011) no. 4, pp. 361-379

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

A general theory of implicit difference schemes for nonlinear functional differential equations with initial boundary conditions is presented. A theorem on error estimates of approximate solutions for implicit functional difference equations of the Volterra type with an unknown function of several variables is given. This general result is employed to investigate the stability of implicit difference schemes generated by first-order partial differential functional equations and by parabolic problems. A comparison technique with nonlinear estimates of the Perron type for given functions with respect to the functional variable is used. 
@article{SJVM_2011_14_4_a2,
     author = {Z. Kamont and K. Kropielnicka},
     title = {Implicit difference methods for evolution functional differential equations},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {361--379},
     publisher = {mathdoc},
     volume = {14},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2011_14_4_a2/}
}
TY  - JOUR
AU  - Z. Kamont
AU  - K. Kropielnicka
TI  - Implicit difference methods for evolution functional differential equations
JO  - Sibirskij žurnal vyčislitelʹnoj matematiki
PY  - 2011
SP  - 361
EP  - 379
VL  - 14
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJVM_2011_14_4_a2/
LA  - ru
ID  - SJVM_2011_14_4_a2
ER  - 
%0 Journal Article
%A Z. Kamont
%A K. Kropielnicka
%T Implicit difference methods for evolution functional differential equations
%J Sibirskij žurnal vyčislitelʹnoj matematiki
%D 2011
%P 361-379
%V 14
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJVM_2011_14_4_a2/
%G ru
%F SJVM_2011_14_4_a2
Z. Kamont; K. Kropielnicka. Implicit difference methods for evolution functional differential equations. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 14 (2011) no. 4, pp. 361-379. http://geodesic.mathdoc.fr/item/SJVM_2011_14_4_a2/