Matematičeskoe modelirovanie, Tome 3 (1991) no. 3, pp. 123-129
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B. N. Chetverushkin; N. G. Churbanova. On the application of geometric parallelism principle to $(\alpha-\beta)$-iteration algorithm. Matematičeskoe modelirovanie, Tome 3 (1991) no. 3, pp. 123-129. http://geodesic.mathdoc.fr/item/MM_1991_3_3_a12/
@article{MM_1991_3_3_a12,
author = {B. N. Chetverushkin and N. G. Churbanova},
title = {On the application of geometric parallelism principle to $(\alpha-\beta)$-iteration algorithm},
journal = {Matemati\v{c}eskoe modelirovanie},
pages = {123--129},
year = {1991},
volume = {3},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MM_1991_3_3_a12/}
}
TY - JOUR
AU - B. N. Chetverushkin
AU - N. G. Churbanova
TI - On the application of geometric parallelism principle to $(\alpha-\beta)$-iteration algorithm
JO - Matematičeskoe modelirovanie
PY - 1991
SP - 123
EP - 129
VL - 3
IS - 3
UR - http://geodesic.mathdoc.fr/item/MM_1991_3_3_a12/
LA - ru
ID - MM_1991_3_3_a12
ER -
%0 Journal Article
%A B. N. Chetverushkin
%A N. G. Churbanova
%T On the application of geometric parallelism principle to $(\alpha-\beta)$-iteration algorithm
%J Matematičeskoe modelirovanie
%D 1991
%P 123-129
%V 3
%N 3
%U http://geodesic.mathdoc.fr/item/MM_1991_3_3_a12/
%G ru
%F MM_1991_3_3_a12
The possibility and effectiveness of parallel realization of $(\alpha-\beta)$-iteration algorithm for elliptic problem is considered in the paper. Finite difference Dirichlet problem for Poisson equation on a rectangular grid is examined as a test. Underrelaxation method applied to $(\alpha-\beta)$-iteration algorithm is presented.
