Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
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



Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find






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


Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2000, Volume 40, Number 12, Pages 1857–1874 (Mi zvmmf1410)  

This article is cited in 43 scientific papers (total in 43 papers)

Construction of high-order accurate shock-capturing finite difference schemes for unsteady shock waves

V. V. Ostapenko

M. A. Lavrent'ev Institute of Hydrodynamics, Novosibirsk
References:
Received: 06.01.2000
Bibliographic databases:
Document Type: Article
UDC: 519.6:531.33
MSC: Primary 76M20; Secondary 76L05
Language: Russian
Citation: V. V. Ostapenko, “Construction of high-order accurate shock-capturing finite difference schemes for unsteady shock waves”, Zh. Vychisl. Mat. Mat. Fiz., 40:12 (2000), 1857–1874; Comput. Math. Math. Phys., 40:12 (2000), 1784–1800
Citation in format AMSBIB
\Bibitem{Ost00}
\by V.~V.~Ostapenko
\paper Construction of high-order accurate shock-capturing finite difference schemes for unsteady shock waves
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2000
\vol 40
\issue 12
\pages 1857--1874
\mathnet{http://mi.mathnet.ru/zvmmf1410}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1830361}
\zmath{https://zbmath.org/?q=an:1001.76069}
\elib{https://elibrary.ru/item.asp?id=13341258}
\transl
\jour Comput. Math. Math. Phys.
\yr 2000
\vol 40
\issue 12
\pages 1784--1800
Linking options:
  • https://www.mathnet.ru/eng/zvmmf1410
  • https://www.mathnet.ru/eng/zvmmf/v40/i12/p1857
  • This publication is cited in the following 43 articles:
    1. M. D. Bragin, “Sravnenie dvukh podkhodov k postroeniyu kombinirovannykh skhem dlya mnogomernykh uravnenii Eilera”, Matem. modelirovanie, 36:6 (2024), 74–88  mathnet  crossref
    2. O. A. Kovyrkina, V. V. Ostapenko, “On accuracy of finite-difference schemes in calculations of centered rarefaction waves”, Math. Models Comput. Simul., 15:1 suppl. (2023), S54–S63  mathnet  crossref  crossref
    3. M. E. Ladonkina, O. A. Neklyudova, V. V. Ostapenko, V. F. Tishkin, “On the accuracy of discontinuous Galerkin method calculating gas-dynamic shock waves”, Dokl. Math., 107:2 (2023), 120–125  mathnet  crossref  crossref  elib
    4. V. V. Ostapenko, E. I. Polunina, N. A. Khandeeva, “On the integral convergence of numerical schemes calculating gas-dynamic shock waves”, Dokl. Math., 108:2 (2023), 374–381  mathnet  crossref  crossref  elib
    5. O. A. Kovyrkina, A. A. Kurganov, V. V. Ostapenko, “Comparative analysis of the accuracy of three different schemes in the calculation of shock waves”, Math. Models Comput. Simul., 15:3 (2023), 401–414  mathnet  crossref  crossref  mathscinet
    6. O. A. Kovyrkina, V. V. Ostapenko, “On accuracy of MUSCL type scheme when calculating discontinuous solutions”, Math. Models Comput. Simul., 13:5 (2021), 810–819  mathnet  crossref  crossref
    7. M. E. Ladonkina, O. A. Nekliudova, V. V. Ostapenko, V. F. Tishkin, “On increasing the stability of the combined scheme of the discontinuous Galerkin method”, Math. Models Comput. Simul., 13:6 (2021), 979–985  mathnet  crossref  crossref
    8. V. V. Ostapenko, N. A. Khandeeva, “To justification of the integral convergence method for studying the finite-difference schemes accuracy”, Math. Models Comput. Simul., 13:6 (2021), 1028–1037  mathnet  crossref  crossref
    9. M. D. Bragin, B. V. Rogov, “Combined multidimensional bicompact scheme with higher order accuracy in domains of influence of nonstationary shock waves”, Dokl. Math., 102:2 (2020), 360–363  mathnet  crossref  crossref  zmath  elib
    10. Gologush T.S. Cherevko A.A. Ostapenko V.V., “Comparison of the Weno and Cabaret Schemes At Calculation of the Scalar Conservation Law With a Nonconvex Flux”, AIP Conference Proceedings, 2293, ed. Simos T. Tsitouras C., Amer Inst Physics, 2020, 370006  crossref  isi
    11. Kovyrkina O. Ostapenko V., “On the Accuracy of Weno Schemes in the Calculation of Shock Waves”, AIP Conference Proceedings, 2293, ed. Simos T. Tsitouras C., Amer Inst Physics, 2020, 370003  crossref  isi
    12. Kovyrkina O. Ostapenko V., “On the Accuracy of Finite-Difference Schemes in Smooth Parts of Calculated Weak Solutions”, AIP Conference Proceedings, 2293, ed. Simos T. Tsitouras C., Amer Inst Physics, 2020, 370002  crossref  isi
    13. Ladonkina M. Nekliudova O. Tishkin V., “Combined Scheme Based on Rusanov Scheme and Discontinuous Galerkin Method”, AIP Conference Proceedings, 2293, ed. Simos T. Tsitouras C., Amer Inst Physics, 2020, 370004  crossref  isi
    14. Ladonkina M., Nekliudova O., Ostapenko V., Tishkin V., “Combined Dg Scheme Conserving Increased Accuracy in Shock Influence Regions”, AIP Conference Proceedings, 2293, eds. Simos T., Tsitouras C., Amer Inst Physics, 2020, 370005  crossref  isi
    15. M. D. Bragin, B. V. Rogov, “Combined monotone bicompact scheme of higher order accuracy in domains of influence of nonstationary shock waves”, Dokl. Math., 101:3 (2020), 239–243  mathnet  crossref  crossref  zmath  elib
    16. M. D. Bragin, B. V. Rogov, “On the accuracy of bicompact schemes as applied to computation of unsteady shock waves”, Comput. Math. Math. Phys., 60:5 (2020), 864–878  mathnet  crossref  crossref  isi  elib
    17. 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
    18. Ostapenko V.V. Polunina E.I. Khandeeva N.A., 4Th All-Russian Scientific Conference Thermophysics and Physical Hydrodynamics With the School For Young Scientists, Journal of Physics Conference Series, 1359, IOP Publishing Ltd, 2019  crossref  isi
    19. Ladonkina M.E. Nekliudova O.A. Ostapenko V.V. Tishkin V.F., “Combined Dg Scheme That Maintains Increased Accuracy in Shock Wave Areas”, Dokl. Math., 100:3 (2019), 519–523  crossref  isi
    20. 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  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Statistics & downloads:
    Abstract page:592
    Full-text PDF :309
    References:53
    First page:1
     
      Contact us:
    math-net2025_04@mi-ras.ru
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025