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Zh. Vychisl. Mat. Mat. Fiz., 1998, Volume 38, Number 8, Pages 1355–1367 (Mi zvmmf1843)  

This article is cited in 14 scientific papers (total in 14 papers)

Finite-difference approximation of the Hugoniot conditions on a shock front propagating with variable velocity

V. V. Ostapenko

Institute of Hydrodynamics, Novosibirsk

Full text: PDF file (1640 kB)
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English version:
Computational Mathematics and Mathematical Physics, 1998, 38:8, 1299–1311

Bibliographic databases:
UDC: 519.6:531.33
MSC: Primary 76M20; Secondary 76L05
Received: 15.05.1996
Revised: 16.01.1998

Citation: V. V. Ostapenko, “Finite-difference approximation of the Hugoniot conditions on a shock front propagating with variable velocity”, Zh. Vychisl. Mat. Mat. Fiz., 38:8 (1998), 1355–1367; Comput. Math. Math. Phys., 38:8 (1998), 1299–1311

Citation in format AMSBIB
\Bibitem{Ost98}
\by V.~V.~Ostapenko
\paper Finite-difference approximation of the Hugoniot conditions on a shock front propagating with variable velocity
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1998
\vol 38
\issue 8
\pages 1355--1367
\mathnet{http://mi.mathnet.ru/zvmmf1843}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1673585}
\zmath{https://zbmath.org/?q=an:1086.76552}
\transl
\jour Comput. Math. Math. Phys.
\yr 1998
\vol 38
\issue 8
\pages 1299--1311


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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, “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
    2. 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
    3. 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
    4. Ostapenko V.V., “On the construction of compact difference schemes”, Doklady Mathematics, 84:3 (2011), 841–845  crossref  mathscinet  zmath  isi  elib  elib  scopus
    5. V. V. Ostapenko, “On compact approximations of divergent differential equations”, Num. Anal. Appl., 5:3 (2012), 242–253  mathnet  crossref  elib
    6. 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
    7. 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
    8. Ostapenko V., Kovyrkina O., “On Construction of Combined Shock-Capturing Finite-Difference Schemes of High Accuracy”, Numerical Analysis and Its Applications (NAA 2016), Lecture Notes in Computer Science, 10187, eds. Dimov I., Farago I., Vulkov L., Springer International Publishing Ag, 2017, 525–532  crossref  mathscinet  zmath  isi  scopus
    9. 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
    10. 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
    11. Kovyrkina O., Ostapenko V., “High Order Combined Finite-Difference Schemes”, International Conference of Numerical Analysis and Applied Mathematics (Icnaam 2017), AIP Conference Proceedings, 1978, Amer Inst Physics, 2018, UNSP 470027-1  crossref  isi  scopus
    12. 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
    13. 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
    14. 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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