Geodesic
Enhancement of SSOR method efficiency on the base of improved spectral estimations
Matematičeskoe modelirovanie, Tome 24 (2012) no. 11, pp. 20-32

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The work is dedicated to building of modified SSOR method for finite-difference scheme of three-dimensional elliptical equations with linear source function that takes $n_0(\varepsilon)\cong O\left(1/\root4\of{||h||}\right)$ iterations in case of special limitation on source function is built. In the article $\gamma_1$ parameter estimation was improved by the instrumentality of separate analysis of diagonal component of the matrix, which allows to decrease the amount of iterations twice. Calculations and results of numerical experiments for Dirichlet problem of Poisson equation and Poisson equation with linear source function of $q(x)u(x)$ kind and nonstationary heat equation are given in this paper.
Keywords: numerical methods, iteration method, modified SSOR
Mots-clés : Poisson equation. 
@article{MM_2012_24_11_a1,
     author = {A. I. Sukhinov and A. V. Shishenya},
     title = {Enhancement of {SSOR} method efficiency on the base of improved spectral estimations},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {20--32},
     publisher = {mathdoc},
     volume = {24},
     number = {11},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2012_24_11_a1/}
}
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A. I. Sukhinov; A. V. Shishenya. Enhancement of SSOR method efficiency on the base of improved spectral estimations. Matematičeskoe modelirovanie, Tome 24 (2012) no. 11, pp. 20-32. http://geodesic.mathdoc.fr/item/MM_2012_24_11_a1/