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Matematicheskoe modelirovanie, 1998, Volume 10, Number 1, Pages 86–100 (Mi mm1241)  

This article is cited in 65 scientific papers (total in 65 papers)

Computational methods and algorithms

Finite difference approximation of convective transport equation with space splitting time derivative

V. M. Goloviznina, A. A. Samarskiib

a Nuclear Safety Institute, RAS
b Institute for Mathematical Modelling, Russian Academy of Sciences
Received: 12.03.1997
Bibliographic databases:
Language: Russian
Citation: V. M. Goloviznin, A. A. Samarskii, “Finite difference approximation of convective transport equation with space splitting time derivative”, Mat. Model., 10:1 (1998), 86–100
Citation in format AMSBIB
\Bibitem{GolSam98}
\by V.~M.~Goloviznin, A.~A.~Samarskii
\paper Finite difference approximation of convective transport equation with space splitting time derivative
\jour Mat. Model.
\yr 1998
\vol 10
\issue 1
\pages 86--100
\mathnet{http://mi.mathnet.ru/mm1241}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1758779}
\zmath{https://zbmath.org/?q=an:1189.76364}
Linking options:
  • https://www.mathnet.ru/eng/mm1241
  • https://www.mathnet.ru/eng/mm/v10/i1/p86
  • This publication is cited in the following 65 articles:
    1. A. N. Doludenko, Yu. M. Kulikov, A. S. Savelev, “Khaotizatsiya techeniya pod deistviem ob'emnoi sily”, Kompyuternye issledovaniya i modelirovanie, 16:4 (2024), 883–912  mathnet  crossref
    2. Gryazev V., Markesteijn A.P., Karabasov S.A., “Generalized Acoustic Analogy Modeling of Hot Jet Noise”, AIAA J., 60:4 (2022), 2383–2396  crossref  isi
    3. I. A. Solntsev, S. A. Karabasov, “Development of unstructed code for rotating zones based on the CABARET method with improved spectral properties”, Math. Models Comput. Simul., 15:1 (2023), 125–137  mathnet  crossref  crossref  mathscinet
    4. Gryazev V., Kalyan A., Markesteijn A.P., Karabasov S.A., “Broadband Shock-Associated Noise Modelling For High-Area-Ratio Under-Expanded Jetsa)”, J. Acoust. Soc. Am., 150:2 (2021), 1534–1547  crossref  isi
    5. Kulikov Yu.M. Son E.E., “Double Shear Layer Evolution on the Non-Uniform Computational Mesh”, Phys. Scr., 96:12 (2021), 125262  crossref  isi
    6. A. A. Cherevko, T. S. Gologush, V. V. Ostapenko, “Search for an optimal solution of the problem of arteriovenous malformation embolization by the particle swarm method”, J. Appl. Mech. Tech. Phys., 62:4 (2021), 530–541  mathnet  crossref  crossref  elib
    7. A. A. Russkov, E. I. Kaptsov, “Ob invariantnykh konechno-raznostnykh skhemakh dlya uravnenii odnomernykh techenii politropnogo gaza dlya zadach s prostranstvennymi simmetriyami”, Preprinty IPM im. M. V. Keldysha, 2021, 092, 34 pp.  mathnet  crossref
    8. V. F. Tishkin, V. A. Gasilov, N. V. Zmitrenko, P. A. Kuchugov, M. E. Ladonkina, Yu. A. Poveschenko, “Modern methods of mathematical modeling of the development of hydrodynamic instabilities and turbulent mixing”, Math. Models Comput. Simul., 13:2 (2021), 311–327  mathnet  crossref  crossref
    9. V. V. Ostapenko, T. V. Protopopova, “On monotonicity of CABARET scheme approximating the multidimensional scalar conservation law”, Num. Anal. Appl., 13:4 (2020), 360–367  mathnet  crossref  crossref  isi
    10. Razukov V.A., Melnikov L.A., International Conference Laser Optics 2020 (Iclo 2020), IEEE, 2020  isi
    11. A. I. Sukhinov, A. E. Chistyakov, E. A. Protsenko, A. M. Atayan, “Lineinaya kombinatsiya skhem «kabare» i «krest» s vesovymi koeffitsientami, poluchennymi iz usloviya minimizatsii poryadka pogreshnosti approksimatsii”, Chebyshevskii sb., 21:4 (2020), 243–256  mathnet  crossref
    12. V. A. Razukov, L. A. Melnikov, “Chislennoe modelirovanie prostranstvenno-vremennoi dinamiki vstrechnykh voln v koltsevom nelineinom mikrorezonatore”, Izv. Sarat. un-ta. Nov. cer. Ser. Fizika, 20:1 (2020), 64–71  mathnet  crossref
    13. A. I. Sukhinov, A. E. Chistyakov, “CABARET difference scheme with improved dispersion properties”, Math. Models Comput. Simul., 11:6 (2019), 867–876  mathnet  crossref  crossref  elib
    14. A. I. Sukhinov, A. E. Chistyakov, E. A. Protsenko, “Raznostnaya skhema dlya resheniya zadach gidrodinamiki pri bolshikh setochnykh chislakh Pekle”, Kompyuternye issledovaniya i modelirovanie, 11:5 (2019), 833–848  mathnet  crossref
    15. M. I. Ivanov, I. A. Kremer, Yu. M. Laevskii, “Ob odnoi protivopotokovoi skheme resheniya zadachi filtratsii”, Sib. elektron. matem. izv., 16 (2019), 757–776  mathnet  crossref
    16. Kulikov Yu.M. Son E.E., “Taylor-Green Vortex Simulation Using Cabaret Scheme in a Weakly Compressible Formulation”, Eur. Phys. J. E, 41:3 (2018), 41  crossref  zmath  isi  scopus
    17. N. A. Zyuzina, V. V. Ostapenko, E. I. Polunina, “Splitting method for CABARET scheme approximating the non-uniform scalar conservation law”, Num. Anal. Appl., 11:2 (2018), 146–157  mathnet  crossref  crossref  isi  elib  elib
    18. V. V. Ostapenko, “On strong monotonicity of two-layer in time CABARET scheme”, Math. Models Comput. Simul., 11:1 (2019), 1–8  mathnet  crossref
    19. N. A. Zyuzina, O. A. Kovyrkina, V. V. Ostapenko, “On the monotonicity of the CABARET scheme approximating a scalar conservation law with alternating characteristic field”, Math. Models Comput. Simul., 11:1 (2019), 46–60  mathnet  crossref
    20. A. V. Danilin, A. V. Solovjev, “Application of the CABARET algorithm for modeling turbulent mixing on the example of the Richtmyer–Meshkov instability”, Math. Models Comput. Simul., 11:2 (2019), 247–255  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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