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Doklady Akademii Nauk SSSR, 1968, Volume 180, Number 6, Pages 1303–1305 (Mi dan33936)  

This article is cited in 38 scientific papers (total in 38 papers)

MATHEMATICS

Difference schemes of the third order of accuracy for the forward calculation of discontinuous solutions

V. V. Rusanov
Presented: M. V. Keldysh
Received: 09.09.1967
Bibliographic databases:
Document Type: Article
UDC: 517.945.7+517.949.8
Language: Russian
Citation: V. V. Rusanov, “Difference schemes of the third order of accuracy for the forward calculation of discontinuous solutions”, Dokl. Akad. Nauk SSSR, 180:6 (1968), 1303–1305
Citation in format AMSBIB
\Bibitem{Rus68}
\by V.~V.~Rusanov
\paper Difference schemes of the third order of accuracy for the forward calculation of discontinuous solutions
\jour Dokl. Akad. Nauk SSSR
\yr 1968
\vol 180
\issue 6
\pages 1303--1305
\mathnet{http://mi.mathnet.ru/dan33936}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0232556}
\zmath{https://zbmath.org/?q=an:0179.22202}
Linking options:
  • https://www.mathnet.ru/eng/dan33936
  • https://www.mathnet.ru/eng/dan/v180/i6/p1303
  • This publication is cited in the following 38 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. V. V. Ostapenko, E. I. Polunina, N. A. Khandeeva, “O povyshenii tochnosti raznostnykh skhem pri raschete tsentrirovannykh voln razrezheniya”, Matem. modelirovanie, 36:6 (2024), 119–134  mathnet  crossref
    3. 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
    4. 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
    5. E. K. Guseva, V. I. Golubev, I. B. Petrov, “Lineinye kvazimonotonnye i gibridnye setochno-kharakteristicheskie skhemy dlya chislennogo resheniya zadach lineinoi akustiki”, Sib. zhurn. vychisl. matem., 26:2 (2023), 135–147  mathnet  crossref
    6. 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
    7. I. B. Petrov, V. I. Golubev, A. V. Shevchenko, I. S. Nikitin, “About the boundary condition approximation in the higher-order grid-characteristic schemes”, Dokl. Math., 108:3 (2023), 466–471  mathnet  crossref  crossref  elib
    8. 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
    9. O. A. Kovyrkina, V. V. Ostapenko, V. F. Tishkin, “On convergence of finite-difference shock-capturing schemes in regions of shock waves influence”, Dokl. Math., 105 (2022), 171–174  mathnet  crossref  crossref  mathscinet  elib
    10. 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
    11. 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
    12. A. D. Savel'ev, “Numerical simulation of unsteady subsonic viscous gas flows based on high-order composite compact schemes”, Comput. Math. Math. Phys., 61:2 (2021), 267–287  mathnet  crossref  crossref  isi  elib
    13. 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
    14. 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
    15. I. B. Petrov, “Application of the grid-characteristic method for mathematical modeling in dynamical problems of deformable solid mechanics”, Kompyuternye issledovaniya i modelirovanie, 11:6 (2019), 1041–1048  mathnet  crossref
    16. N. I. Khokhlov, I. B. Petrov, “Primenenie setochno-kharakteristicheskogo metoda dlya resheniya zadach rasprostraneniya dinamicheskikh volnovykh vozmuschenii na vysokoproizvoditelnykh vychislitelnykh sistemakh”, Trudy ISP RAN, 31:6 (2019), 237–252  mathnet  crossref
    17. I. B. Petrov, “Problems of simulation of natural and anthropogenous processes in the Arctic zone of the Russian Federation”, Math. Models Comput. Simul., 11:2 (2019), 226–246  mathnet  crossref
    18. 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
    19. 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
    20. I. S. Menshov, V. S. Nikitin, V. V. Sheverdin, “Parallelnaya trekhmernaya LAD model na dekartovykh setkakh vlozhennoi struktury”, Preprinty IPM im. M. V. Keldysha, 2016, 118, 32 pp.  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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