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Multicomponent iterative methods solving stationary problems of mathematical physics

Abstract



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




 

Keyword : iterative algorithms, ADI method, multicomponent algorithms

How to Cite
Abrashina-Zhadaeva, N., & Egorov, A. (2008). Multicomponent iterative methods solving stationary problems of mathematical physics. Mathematical Modelling and Analysis, 13(3), 313-326. https://doi.org/10.3846/1392-6292.2008.13.313-326
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Sep 30, 2008
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