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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2010, Number 2(10), Pages 20–27
(Mi vtgu30)
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This article is cited in 4 scientific papers (total in 4 papers)
MATHEMATICS
New version of line-by-line recursive method for solving a difference elliptical equations
A. A. Fomin, L. N. Fominaa a Kemerovo State University
Abstract:
We consider a new version of the closure equation for the line-by-line recursive method. The equation is a double-point linear connection of the desired solution’s values in the neighboring nodes of the area grid. A special feature of the considered closure is asymptotically exact value of the equation factors in the case
when the solution converges. Higher efficiency of the discussed version of the line-by-line recursive method for solving systems of linear algebraic equations with ill-conditioned matrices as compared with its previous versions is demonstrated by examples of model problem solutions.
Keywords:
system of linear algebraic equations, iteration method, closure equations.
Accepted: May 10, 2010
Citation:
A. A. Fomin, L. N. Fomina, “New version of line-by-line recursive method for solving a difference elliptical equations”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2010, no. 2(10), 20–27
Linking options:
https://www.mathnet.ru/eng/vtgu30 https://www.mathnet.ru/eng/vtgu/y2010/i2/p20
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Abstract page: | 284 | Full-text PDF : | 87 | References: | 46 | First page: | 1 |
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