Geodesic
Some methods of solving the first boundary value problem for the biharmonic difference equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 5, pp. 1088-1097

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

An iterative method is given for solving the Dirichlet problem for the biharwonic difference equation in a rectangular domain requiring $O(h^{-2}\ln\varepsilon^{-1})$ arithmetic operations. In the case of a circular domain, a direct method is discribed, requiring $O(h^{-2}\ln h^{-1})$ operations. 
@article{ZVMMF_1983_23_5_a5,
     author = {M. M. Karchevskii},
     title = {Some methods of solving the first boundary value problem for the biharmonic difference equation},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1088--1097},
     publisher = {mathdoc},
     volume = {23},
     number = {5},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_5_a5/}
}
TY  - JOUR
AU  - M. M. Karchevskii
TI  - Some methods of solving the first boundary value problem for the biharmonic difference equation
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1983
SP  - 1088
EP  - 1097
VL  - 23
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_5_a5/
LA  - ru
ID  - ZVMMF_1983_23_5_a5
ER  - 
%0 Journal Article
%A M. M. Karchevskii
%T Some methods of solving the first boundary value problem for the biharmonic difference equation
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1983
%P 1088-1097
%V 23
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_5_a5/
%G ru
%F ZVMMF_1983_23_5_a5
M. M. Karchevskii. Some methods of solving the first boundary value problem for the biharmonic difference equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 5, pp. 1088-1097. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_5_a5/