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Zh. Vychisl. Mat. Mat. Fiz., 1997, Volume 37, Number 10, Pages 1201–1212 (Mi zvmmf2006)  

This article is cited in 30 scientific papers (total in 30 papers)

Convergence of finite-difference schemes behind a shock front

V. V. Ostapenko

Novosibirsk

Full text: PDF file (4773 kB)
References: PDF file   HTML file

English version:
Computational Mathematics and Mathematical Physics, 1997, 37:10, 1161–1172

Bibliographic databases:
UDC: 519.634
MSC: Primary 76M20; Secondary 65M12, 76L05
Received: 11.04.1996
Revised: 12.07.1996

Citation: V. V. Ostapenko, “Convergence of finite-difference schemes behind a shock front”, Zh. Vychisl. Mat. Mat. Fiz., 37:10 (1997), 1201–1212; Comput. Math. Math. Phys., 37:10 (1997), 1161–1172

Citation in format AMSBIB
\Bibitem{Ost97}
\by V.~V.~Ostapenko
\paper Convergence of finite-difference schemes behind a shock front
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1997
\vol 37
\issue 10
\pages 1201--1212
\mathnet{http://mi.mathnet.ru/zvmmf2006}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1481148}
\zmath{https://zbmath.org/?q=an:1122.76355}
\transl
\jour Comput. Math. Math. Phys.
\yr 1997
\vol 37
\issue 10
\pages 1161--1172


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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, “Approksimatsiya uslovii Gyugonio yavnymi konservativnymi raznostnymi skhemami na nestatsionarnykh udarnykh volnakh”, Sib. zhurn. vychisl. matem., 1:1 (1998), 77–88  mathnet  mathscinet  zmath
    2. 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
    3. V. V. Ostapenko, “On the strong monotonicity of nonlinear difference schemes”, Comput. Math. Math. Phys., 38:7 (1998), 1119–1133  mathnet  mathscinet  zmath
    4. V. V. Ostapenko, “Raznostnaya skhema povyshennogo poryadka skhodimosti na nestatsionarnoi udarnoi volne”, Sib. zhurn. vychisl. matem., 2:1 (1999), 47–56  mathnet  zmath
    5. 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
    6. V. B. Barakhnin, N. V. Borodkin, “TVD skhema vtorogo poryadka approksimatsii na podvizhnoi adaptivnoi setke dlya giperbolicheskikh sistem”, Sib. zhurn. vychisl. matem., 3:2 (2000), 109–121  mathnet  zmath
    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. Schacht W., Vorozhtsov E.V., Voevodin A.F., Ostapenko V.V., “Numerical modelling of hydraulic jumps in a spiral channel with rectangular cross section”, Fluid Dynam Res, 31:3 (2002), 185–213  crossref  adsnasa  isi  scopus
    10. N. M. Borisova, V. V. Ostapenko, “On accuracy of the shock wave computations by the shock-fitting method”, Comput. Math. Math. Phys., 43:10 (2003), 1437–1458  mathnet  mathscinet  zmath  elib
    11. Azarenok B.N., Tang T., “Second-order Godunov-type scheme for reactive flow calculations on moving meshes”, J Comput Phys, 206:1 (2005), 48–80  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    12. Akhmetov D.G., Nikulin V.V., Ostapenko V.V., “Vorticity Cumulation in a Rectangular Tank with a Sloping Bottom after a Sharp Deceleration in Rotation”, Fluid Dynamics, 41:6 (2006), 938–948  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    13. A. N. Kudryavtsev, T. V. Poplavskaya, D. V. Khotyanovskii, “Primenenie skhem vysokogo poryadka tochnosti pri modelirovanii nestatsionarnykh sverkhzvukovykh techenii”, Matem. modelirovanie, 19:7 (2007), 39–55  mathnet  mathscinet  zmath
    14. Kovyrkina O.A., Ostapenko V.V., “On the Convergence of Shock-Capturing Difference Schemes”, Doklady Mathematics, 82:1 (2010), 599–603  crossref  mathscinet  zmath  isi  elib  scopus
    15. Ostapenko V., “On Convergence of High Order Shock Capturing Difference Schemes”, Application of Mathematics in Technical and Natural Sciences, AIP Conference Proceedings, 1301, 2010, 413–425  crossref  mathscinet  zmath  adsnasa  isi  scopus
    16. A. V. Ivanova, V. V. Ostapenko, A. P. Chupakhin, “Chislennoe modelirovanie techenii melkoi vody na vraschayuscheisya prityagivayuschei sfere”, Vestn. NGU. Ser. matem., mekh., inform., 10:3 (2010), 30–45  mathnet
    17. O. A. Kovyrkina, V. V. Ostapenko, “On the practical accuracy of shock-capturing schemes”, Math. Models Comput. Simul., 6:2 (2014), 183–191  mathnet  crossref  mathscinet
    18. Kabova Yu., Kuznetsov V.V., Kabov O., Gambaryan-Roisman T., Stephan P., “Evaporation of a Thin Viscous Liquid Film Sheared by Gas in a Microchannel”, Int. J. Heat Mass Transf., 68 (2014), 527–541  crossref  isi  elib  scopus
    19. N. A. Mikhailov, “On convergence rate of WENO schemes behind a shock front”, Math. Models Comput. Simul., 7:5 (2015), 467–474  mathnet  crossref  elib
    20. V. V. Ostapenko, A. V. Speshilova, A. A. Cherevko, A. P. Chupakhin, “Numerical simulation of wave motions on a rotating attracting spherical zone”, Comput. Math. Math. Phys., 55:3 (2015), 470–486  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    21. A. V. Rodionov, “On correlation between the discontinuous Galerkin method and MUSCL-type schemes”, Math. Models Comput. Simul., 8:3 (2016), 285–300  mathnet  crossref  elib
    22. Kabova Yu.O., Kuznetsov V.V., Ohta H., Kabov O.A., “Dynamics and Evaporation of a Thin Locally Heated Liquid Film Sheared By a Vapor Flow in a Microchannel”, Interfacial Phenom. Heat Transf., 5:3, SI (2017), 231–249  crossref  isi
    23. Kovyrkina O.A. Ostapenko V.V., “On the Construction of Combined Finite-Difference Schemes of High Accuracy”, Dokl. Math., 97:1 (2018), 77–81  crossref  zmath  isi  scopus
    24. M. E. Ladonkina, O. A. Neklyudova, V. V. Ostapenko, V. F. Tishkin, “Issledovanie tochnosti razryvnogo metoda Galerkina pri raschete reshenii s udarnymi volnami”, Preprinty IPM im. M. V. Keldysha, 2018, 195, 20 pp.  mathnet  crossref  elib
    25. Kovyrkina O. Ostapenko V., “High Order Combined Finite-Difference Schemes”, AIP Conference Proceedings, 1978, Amer Inst Physics, 2018, UNSP 470027-1  crossref  mathscinet  isi  scopus
    26. M. E. Ladonkina, O. A. Neklyudova, V. V. Ostapenko, V. F. Tishkin, “On the accuracy of the discontinuous Galerkin method in calculation of shock waves”, Comput. Math. Math. Phys., 58:8 (2018), 1344–1353  mathnet  crossref  crossref  isi  elib
    27. Ostapenko V.V. Khandeeva N.A., “The Accuracy of Finite-Difference Schemes Calculating the Interaction of Shock Waves”, Dokl. Phys., 64:4 (2019), 197–201  crossref  isi
    28. O. A. Kovyrkina, V. V. Ostapenko, “O tochnosti skhemy tipa MUSCL pri raschete razryvnykh reshenii”, Matem. modelirovanie, 33:1 (2021), 105–121  mathnet  crossref
    29. M. E. Ladonkina, O. A. Neklyudova, V. V. Ostapenko, V. F. Tishkin, “O povyshenii ustoichivosti kombinirovannoi skhemy razryvnogo metoda Galerkina”, Matem. modelirovanie, 33:3 (2021), 98–108  mathnet  crossref
    30. V. V. Ostapenko, N. A. Khandeeva, “K obosnovaniyu metoda integralnoi skhodimosti issledovaniya tochnosti raznostnykh skhem skvoznogo scheta”, Matem. modelirovanie, 33:4 (2021), 45–59  mathnet  crossref
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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