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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 8, Pages 50–61
DOI: https://doi.org/10.31857/S004446690002000-1 (Mi zvmmf10761) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Matrix-free conjugate gradient implementation of implicit schemes

N. G. Buragoa, I. S. Nikitinbc

a Institute for Problems of Mechanics, Russian Academy of Sciences, Moscow, Russia
b Institute for Computer-Aided Design, Russian Academy of Sciences, Moscow, Russia
c Moscow Aviation Institute (National Research University), Moscow, Russia
Citations (9)
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DOI: https://doi.org/10.31857/S004446690002000-1
Abstract: Matrix-free conjugate gradient algorithms are described as applied to large systems of algebraic equations arising in the implementation of implicit schemes intended for problems in continuum mechanics. The algorithms are shown to reduce the computer memory requirements and provide a higher computer performance. Additional advantages include the robustness of the algorithms and the simplicity of their implementation and debugging.
Key words: matrix-free conjugate gradient method, large systems of algebraic equations, implicit schemes, continuum mechanics, robustness.
Received: 05.03.2018
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 8, Pages 1247–1258
DOI: https://doi.org/10.1134/S0965542518080043
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: N. G. Burago, I. S. Nikitin, “Matrix-free conjugate gradient implementation of implicit schemes”, Zh. Vychisl. Mat. Mat. Fiz., 58:8 (2018), 50–61; Comput. Math. Math. Phys., 58:8 (2018), 1247–1258
Citation in format AMSBIB
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\transl
\jour Comput. Math. Math. Phys.
\yr 2018
\vol 58
\issue 8
\pages 1247--1258
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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