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Zh. Vychisl. Mat. Mat. Fiz., 1999, Volume 39, Number 10, Pages 1687–1704 (Mi zvmmf1600)  

This article is cited in 7 scientific papers (total in 7 papers)

Strong monotonicity of finite-difference schemes for systems of conservation laws

V. V. Ostapenko

M. A. Lavrent'ev Institute of Hydrodynamics, Novosibirsk

Full text: PDF file (2002 kB)
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English version:
Computational Mathematics and Mathematical Physics, 1999, 39:10, 1619–1635

Bibliographic databases:
UDC: 519.634
MSC: Primary 65M06; Secondary 35L65
Received: 07.12.1998

Citation: V. V. Ostapenko, “Strong monotonicity of finite-difference schemes for systems of conservation laws”, Zh. Vychisl. Mat. Mat. Fiz., 39:10 (1999), 1687–1704; Comput. Math. Math. Phys., 39:10 (1999), 1619–1635

Citation in format AMSBIB
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\by V.~V.~Ostapenko
\paper Strong monotonicity of finite-difference schemes for systems of conservation laws
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1999
\vol 39
\issue 10
\pages 1687--1704
\mathnet{http://mi.mathnet.ru/zvmmf1600}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1726497}
\zmath{https://zbmath.org/?q=an:0977.65075}
\elib{https://elibrary.ru/item.asp?id=13321838}
\transl
\jour Comput. Math. Math. Phys.
\yr 1999
\vol 39
\issue 10
\pages 1619--1635


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. M. V. Buntina, V. V. Ostapenko, “TVD scheme for computing open channel wave flows”, Comput. Math. Math. Phys., 48:12 (2008), 2241–2253  mathnet  crossref  mathscinet  isi  elib  elib
    2. V. V. Ostapenko, “O monotonnosti balansno-kharakteristicheskoi skhemy”, Matem. modelirovanie, 21:7 (2009), 29–42  mathnet  mathscinet
    3. Matus P.P., Chuiko M.M., “Investigation of the Stability and Convergence of Difference Schemes for a Polytropic Gas with Subsonic Flows”, Differ Equ, 45:7 (2009), 1074–1085  crossref  mathscinet  zmath  isi  elib  scopus
    4. G. L. Martsinkevich, P. P. Matus, M. M. Chuǐko, “Stability of difference schemes in terms of Riemann invariants for a polytropic gas”, Comput. Math. Math. Phys., 50:6 (2010), 1024–1037  mathnet  crossref  mathscinet  adsnasa  isi
    5. Ostapenko V.V., “On the Monotonicity of Multidimensional Difference Schemes”, Dokl. Math., 86:3 (2012), 766–769  crossref  mathscinet  zmath  isi  elib  scopus
    6. Matus P. Polyakov D., “Stability and Convergence of the Difference Schemes for Equations of Isentropic Gas Dynamics in Lagrangian Coordinates”, Publ. Inst. Math.-Beograd, 91:105 (2012), 137–153  crossref  mathscinet  zmath  isi  scopus
    7. Kovyrkina O. Ostapenko V., “On the monotonicity of multidimensional finite difference schemes”, APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 8th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS?16 (Albena, Bulgaria, 22?27 June 2016), AIP Conference Proceedings, 1773, ed. Todorov M., Amer Inst Physics, 2016, 100007  crossref  isi  scopus
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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