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Zh. Vychisl. Mat. Mat. Fiz., 1996, Volume 36, Number 10, Pages 146–157 (Mi zvmmf2175)  

This article is cited in 13 scientific papers (total in 13 papers)

A method of increasing the order of the weak approximation of the laws of conservation on discontinuous solutions

V. V. Ostapenko

Novosibirsk

Full text: PDF file (1150 kB)
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English version:
Computational Mathematics and Mathematical Physics, 1996, 36:10, 1443–1451

Bibliographic databases:
UDC: 519.63
MSC: Primary 65M15; Secondary 65M06, 35L65
Received: 02.06.1995

Citation: V. V. Ostapenko, “A method of increasing the order of the weak approximation of the laws of conservation on discontinuous solutions”, Zh. Vychisl. Mat. Mat. Fiz., 36:10 (1996), 146–157; Comput. Math. Math. Phys., 36:10 (1996), 1443–1451

Citation in format AMSBIB
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\paper A method of increasing the order of the weak approximation of the laws of conservation on discontinuous solutions
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1996
\vol 36
\issue 10
\pages 146--157
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\transl
\jour Comput. Math. Math. Phys.
\yr 1996
\vol 36
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\pages 1443--1451
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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. V. V. Ostapenko, “Convergence of finite-difference schemes behind a shock front”, Comput. Math. Math. Phys., 37:10 (1997), 1161–1172  mathnet  mathscinet  zmath
    2. V. V. Ostapenko, “Approksimatsiya uslovii Gyugonio yavnymi konservativnymi raznostnymi skhemami na nestatsionarnykh udarnykh volnakh”, Sib. zhurn. vychisl. matem., 1:1 (1998), 77–88  mathnet  mathscinet  zmath
    3. V. V. Ostapenko, “Finite-difference approximation of the Hugoniot conditions on a shock front propagating with variable velocity”, Comput. Math. Math. Phys., 38:8 (1998), 1299–1311  mathnet  mathscinet  zmath
    4. A. N. Minailos, “The accuracy of numerical solutions to the Navier–Stokes equations”, Comput. Math. Math. Phys., 38:7 (1998), 1168–1180  mathnet  mathscinet  zmath
    5. V. V. Ostapenko, “Raznostnaya skhema povyshennogo poryadka skhodimosti na nestatsionarnoi udarnoi volne”, Sib. zhurn. vychisl. matem., 2:1 (1999), 47–56  mathnet  zmath
    6. V. V. Ostapenko, “Strong monotonicity of finite-difference schemes for systems of conservation laws”, Comput. Math. Math. Phys., 39:10 (1999), 1619–1635  mathnet  mathscinet  zmath  elib
    7. A. F. Voevodin, V. V. Ostapenko, “O raschete preryvnykh voln v otkrytykh ruslakh”, Sib. zhurn. vychisl. matem., 3:4 (2000), 305–321  mathnet  zmath
    8. V. V. Ostapenko, “Construction of high-order accurate shock-capturing finite difference schemes for unsteady shock waves”, Comput. Math. Math. Phys., 40:12 (2000), 1784–1800  mathnet  mathscinet  zmath  elib
    9. Ostapenko V.V., “Stable shock waves in two-layer “shallow water””, J Appl Math Mech, 65:1 (2001), 89–108  crossref  mathscinet  zmath  adsnasa  isi  scopus
    10. Ostapenko V.V., “On the construction of compact difference schemes”, Doklady Mathematics, 84:3 (2011), 841–845  crossref  mathscinet  zmath  isi  elib  elib  scopus
    11. V. V. Ostapenko, “On compact approximations of divergent differential equations”, Num. Anal. Appl., 5:3 (2012), 242–253  mathnet  crossref  elib
    12. A. I. Tolstykh, “Hybrid schemes with high-order multioperators for computing discontinuous solutions”, Comput. Math. Math. Phys., 53:9 (2013), 1303–1322  mathnet  crossref  crossref  isi  elib  elib
    13. O. A. Kovyrkina, V. V. Ostapenko, “O tochnosti skhemy tipa MUSCL pri raschete razryvnykh reshenii”, Matem. modelirovanie, 33:1 (2021), 105–121  mathnet  crossref
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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