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Matematicheskoe modelirovanie, 1991, Volume 3, Number 3, Pages 123–129 (Mi mm2209)  

Computational methods and algorithms

On the application of geometric parallelism principle to $(\alpha-\beta)$-iteration algorithm

B. N. Chetverushkina, N. G. Churbanova

a National Center of Mathematical Modelling of USSR Academy of Sciences
Abstract: 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.
Received: 15.04.1991
Bibliographic databases:
UDC: 519.63
Language: Russian
Citation: B. N. Chetverushkin, N. G. Churbanova, “On the application of geometric parallelism principle to $(\alpha-\beta)$-iteration algorithm”, Matem. Mod., 3:3 (1991), 123–129
Citation in format AMSBIB
\Bibitem{CheChu91}
\by B.~N.~Chetverushkin, N.~G.~Churbanova
\paper On the application of geometric parallelism principle to $(\alpha-\beta)$-iteration algorithm
\jour Matem. Mod.
\yr 1991
\vol 3
\issue 3
\pages 123--129
\mathnet{http://mi.mathnet.ru/mm2209}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1152250}
\zmath{https://zbmath.org/?q=an:1189.65270}
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