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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 6, Pages 943–957
DOI: https://doi.org/10.7868/S0044466916060223 (Mi zvmmf10419) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On the use of multioperators in the construction of high-order grid approximations

A. I. Tolstykh

Federal Research Center "Computer Science and Control" of Russian Academy of Sciences
Full-text PDF (525 kB) Citations (4)
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DOI: https://doi.org/10.7868/S0044466916060223
Abstract: Examples of using the multioperator technique in order to increase the order of accuracy of some linear operators are given. Formulas for numerical differentiation, approximation of diffusion terms, recalculation, filtration, and extrapolation of grid functions are considered. A new family of multioperator approximations for convective terms of equations is presented. Multioperators of 16th and 32nd orders are analyzed as an example.
Key words: multioperators, high-order grid approximations, numerical differentiation formulas, extrapolation.
Funding agency Grant number
Russian Science Foundation 14-11-0075
Received: 21.09.2015
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 6, Pages 932–946
DOI: https://doi.org/10.1134/S0965542516060221
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. I. Tolstykh, “On the use of multioperators in the construction of high-order grid approximations”, Zh. Vychisl. Mat. Mat. Fiz., 56:6 (2016), 943–957; Comput. Math. Math. Phys., 56:6 (2016), 932–946
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:45
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