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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 8, Pages 1433–1452 (Mi zvmmf429)  
This article is cited in 13 scientific papers (total in 13 papers)

A parallel computational scheme with ninth-order multioperator approximations and its application to direct numerical simulation

M. V. Lipavskii, A. I. Tolstykh, E. N. Chigerëv

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
Full-text PDF (2582 kB) Citations (13)
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Abstract: The properties of ninth-order multioperator compact schemes based on known third-and fifth-order compact approximations are examined. The domains where the multioperators have fixed signs are determined numerically. The numerical results are compared with the exact solution to the Burgers equation. The multioperator schemes are applied to the problem of vortex sheet roll-up.
Key words: multioperator approximations, direct numerical simulation problems, parallel computations, compact upwind approximations.
Received: 29.12.2005
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 8, Pages 1359–1377
DOI: https://doi.org/10.1134/S0965542506080082
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: M. V. Lipavskii, A. I. Tolstykh, E. N. Chigerëv, “A parallel computational scheme with ninth-order multioperator approximations and its application to direct numerical simulation”, Zh. Vychisl. Mat. Mat. Fiz., 46:8 (2006), 1433–1452; Comput. Math. Math. Phys., 46:8 (2006), 1359–1377
Citation in format AMSBIB
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\by M.~V.~Lipavskii, A.~I.~Tolstykh, E.~N.~Chiger\"ev
\paper A~parallel computational scheme with ninth-order multioperator approximations and its application to direct numerical simulation
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 8
\pages 1433--1452
\mathnet{http://mi.mathnet.ru/zvmmf429}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2287361}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 8
\pages 1359--1377
\crossref{https://doi.org/10.1134/S0965542506080082}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33748331252}
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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