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

 

Keywords:

iterative algorithms, ADI method, multicomponent algorithms

How to Cite

Abrashina-Zhadaeva, N. G., & Egorov, A. 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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September 30, 2008
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Copyright (c) 2008 The Author(s). Published by Vilnius Gediminas Technical University.

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Published

2008-09-30

Issue

Vol 13 No 3 (2008)

Section

Articles

Copyright

Copyright (c) 2008 The Author(s). Published by Vilnius Gediminas Technical University.

License

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Abrashina-Zhadaeva, N. G., & Egorov, A. 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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