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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 1, Pages 56–73 (Mi zvmmf8046)  
This article is cited in 6 scientific papers (total in 6 papers)

On the multioperator method for constructing approximations and finite difference schemes of an arbitrarily high order

A. I. Tolstykh

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333 Russia
Full-text PDF (300 kB) Citations (6)
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Abstract: Main results of the development of the multioperator method for constructing approximations of prescribed order are presented. Multioperators for various approximation problems are considered. The focus is on the multioperators for convective terms in fluid dynamics equations. Types of multioperator schemes are described and possibilities for their optimization are discussed. Results of solving benchmark problems in the case of tenth- and 18th-order schemes are presented.
Key words: compact approximations, multioperators of arbitrarily high order, equations with convective terms, multioperator schemes, formulas of improved accuracy.
Received: 26.07.2010
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 1, Pages 51–67
DOI: https://doi.org/10.1134/S0965542511010131
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. I. Tolstykh, “On the multioperator method for constructing approximations and finite difference schemes of an arbitrarily high order”, Zh. Vychisl. Mat. Mat. Fiz., 51:1 (2011), 56–73; Comput. Math. Math. Phys., 51:1 (2011), 51–67
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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