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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 5, Pages 894–907 (Mi zvmmf4878)  
This article is cited in 3 scientific papers (total in 3 papers)

On families of compact fourth- and fifth-order approximations involving the inversion of two-point operators for equations with convective terms

A. I. Tolstykh

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333 Russia
Full-text PDF (280 kB) Citations (3)
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Abstract: New one-parameter families of compact approximations of the first-order derivatives are presented that use inversion procedures for two-point operators. Properties of these families are investigated, and finite difference schemes based on those families for problems with convective terms written in the form of conservation laws are described. Estimates of the accuracy of numerical solutions to benchmark problems are given.
Key words: compact high-order approximations, two-point operators, equations with convective terms, equations for conservation laws.
Received: 26.02.2009
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 5, Pages 848–861
DOI: https://doi.org/10.1134/S096554251005009X
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. I. Tolstykh, “On families of compact fourth- and fifth-order approximations involving the inversion of two-point operators for equations with convective terms”, Zh. Vychisl. Mat. Mat. Fiz., 50:5 (2010), 894–907; Comput. Math. Math. Phys., 50:5 (2010), 848–861
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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