Multicomponent iterative methods solving stationary problems of mathematical physics

Additive iterative methods of complete approximation for stationary problems of mathematical physics are proposed. The convergence rate in the case of an arbitrary number of commutative and noncommutative partition operators is analysed. The optimal values of the iterative parameter are found and re...

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Bibliographic Details
Main Authors: Natali G. Abrashina-Zhadaeva, Alexey A. Egorov
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2008-09-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/7015
Description
Summary:Additive iterative methods of complete approximation for stationary problems of mathematical physics are proposed. The convergence rate in the case of an arbitrary number of commutative and noncommutative partition operators is analysed. The optimal values of the iterative parameter are found and related estimates for the number of iterations are derived. Some applications of suggested iterative methods are discussed. First Published Online: 14 Oct 2010
ISSN:1392-6292
1648-3510