Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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


Dokl. RAN. Math. Inf. Proc. Upr.:
Year:
Volume:
Issue:
Page:
Find




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

Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 492, Pages 31–37
DOI: https://doi.org/10.31857/S2686954320030224 (Mi danma68) 		 
This article is cited in 8 scientific papers (total in 8 papers)

MATHEMATICS

On $L^2$-dissipativity of a linearized explicit finite-difference scheme with quasi-gasdynamic regularization for the barotropic gas dynamics system of equations

A. A. Zlotnikab, T. A. Lomonosova

a National Research University "Higher School of Economics", Moscow, Russian Federation
b Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow, Russian Federation
Full-text PDF (970 kB) Citations (8)
References:
PDF
HTML
DOI: https://doi.org/10.31857/S2686954320030224
Abstract: We study an explicit two-level symmetric (in space) finite-difference scheme for the multidimensional barotropic gas dynamics system of equations with quasi-gasdynamic regularization linearized at a constant solution (with an arbitrary velocity). A criterion and both necessary and sufficient conditions for the $L^2$-dissipativity of the solutions to the Cauchy problem for the scheme are derived by the spectral method. In them, the Courant number is uniformly bounded with respect to the Mach number.
Keywords: barotropic gas dynamics equations, quasi-gasdynamic system of equations, explicit two-level finite-difference scheme, stability.
Funding agency Grant number
Russian Science Foundation 19–11–00169
This work was supported by the Russian Science Foundation, project no. 19-11-00169.
Presented: B. N. Chetverushkin
Received: 17.08.2019
Revised: 09.04.2020
Accepted: 10.04.2020
English version:
Doklady Mathematics, 2020, Volume 101, Issue 3, Pages 198–204
DOI: https://doi.org/10.1134/S1064562420030229
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. A. Zlotnik, T. A. Lomonosov, “On $L^2$-dissipativity of a linearized explicit finite-difference scheme with quasi-gasdynamic regularization for the barotropic gas dynamics system of equations”, Dokl. RAN. Math. Inf. Proc. Upr., 492 (2020), 31–37; Dokl. Math., 101:3 (2020), 198–204
Citation in format AMSBIB
\Bibitem{ZloLom20}
\by A.~A.~Zlotnik, T.~A.~Lomonosov
\paper On $L^2$-dissipativity of a linearized explicit finite-difference scheme with quasi-gasdynamic regularization for the barotropic gas dynamics system of equations
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2020
\vol 492
\pages 31--37
\mathnet{http://mi.mathnet.ru/danma68}
\crossref{https://doi.org/10.31857/S2686954320030224}
\zmath{https://zbmath.org/?q=an:7424588}
\elib{https://elibrary.ru/item.asp?id=42929992}
\transl
\jour Dokl. Math.
\yr 2020
\vol 101
\issue 3
\pages 198--204
\crossref{https://doi.org/10.1134/S1064562420030229}
Linking options:
  • https://www.mathnet.ru/eng/danma68
  • https://www.mathnet.ru/eng/danma/v492/p31
    • 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
    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
    Statistics & downloads:
    Abstract page:97
    Full-text PDF :43
    References:16
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024