Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 5, Pages 796–815
DOI: https://doi.org/10.7868/S0044466916050124 (Mi zvmmf10388) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Monotonicity of the CABARET scheme approximating a hyperbolic equation with a sign-changing characteristic field

O. A. Kovyrkinaab, V. V. Ostapenkoab

a Novosibirsk State University, Universitetskii pr. 2, Novosibirsk, 630090, Russia
b Lavrent'ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, pr. Akademika Lavrent'eva 15, Novosibirsk, 630090, Russia
Full-text PDF (643 kB) Citations (8)
References:
PDF
HTML
DOI: https://doi.org/10.7868/S0044466916050124
Abstract: The monotonicity of the CABARET scheme approximating a hyperbolic differential equation with a sign-changing characteristic field is analyzed. Monotonicity conditions for this scheme are obtained in domains where the characteristics have a sign-definite propagation velocity and near sonic lines, on which the propagation velocity changes its sign. These properties of the CABARET scheme are illustrated by test computations.
Key words: CABARET difference scheme, hyperbolic equations, sign-changing characteristic field, monotonicity.
Received: 08.07.2015
Revised: 19.10.2015
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 5, Pages 783–801
DOI: https://doi.org/10.1134/S0965542516050122
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: O. A. Kovyrkina, V. V. Ostapenko, “Monotonicity of the CABARET scheme approximating a hyperbolic equation with a sign-changing characteristic field”, Zh. Vychisl. Mat. Mat. Fiz., 56:5 (2016), 796–815; Comput. Math. Math. Phys., 56:5 (2016), 783–801
Citation in format AMSBIB
\Bibitem{KovOst16}
\by O.~A.~Kovyrkina, V.~V.~Ostapenko
\paper Monotonicity of the CABARET scheme approximating a hyperbolic equation with a sign-changing characteristic field
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2016
\vol 56
\issue 5
\pages 796--815
\mathnet{http://mi.mathnet.ru/zvmmf10388}
\crossref{https://doi.org/10.7868/S0044466916050124}
\elib{https://elibrary.ru/item.asp?id=26068760}
\transl
\jour Comput. Math. Math. Phys.
\yr 2016
\vol 56
\issue 5
\pages 783--801
\crossref{https://doi.org/10.1134/S0965542516050122}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000377419200007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84974578360}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf10388
  • https://www.mathnet.ru/eng/zvmmf/v56/i5/p796
    • This publication is cited in the following 8 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
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024