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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1962, Volume 2, Number 6, Pages 1122–1128 (Mi zvmmf7932)  

This article is cited in 46 scientific papers (total in 48 papers)

Scientific communications

The application of difference schemes of high accuracy to the numerical solution of hyperbolic equations

R. P. Fedorenko

Moscow
Received: 21.06.1962
English version:
USSR Computational Mathematics and Mathematical Physics, 1963, Volume 2, Issue 6, Pages 1355–1365
DOI: https://doi.org/10.1016/0041-5553(63)90351-3
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: R. P. Fedorenko, “The application of difference schemes of high accuracy to the numerical solution of hyperbolic equations”, Zh. Vychisl. Mat. Mat. Fiz., 2:6 (1962), 1122–1128; U.S.S.R. Comput. Math. Math. Phys., 2:6 (1963), 1355–1365
Citation in format AMSBIB
\Bibitem{Fed62}
\by R.~P.~Fedorenko
\paper The application of difference schemes of high accuracy to the numerical solution of hyperbolic equations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1962
\vol 2
\issue 6
\pages 1122--1128
\mathnet{http://mi.mathnet.ru/zvmmf7932}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0148231}
\zmath{https://zbmath.org/?q=an:0139.10803}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1963
\vol 2
\issue 6
\pages 1355--1365
\crossref{https://doi.org/10.1016/0041-5553(63)90351-3}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf7932
  • https://www.mathnet.ru/eng/zvmmf/v2/i6/p1122
  • This publication is cited in the following 48 articles:
    1. N. Ya. Moiseev, “An Approach to Improving the Accuracy and Efficiency of the ROMB Method for Solving the Nonstationary Heat Equation”, Comput. Math. and Math. Phys., 64:8 (2024), 1747  crossref
    2. I. V. Popov, “Method for constructing high-order approximation schemes for hyperbolic equations”, Math. Models Comput. Simul., 16:6 (2024), 853–860  mathnet  crossref  crossref
    3. V. E. Karpov, A. I. Lobanov, “Setochno-kharakteristicheskaya raznostnaya skhema dlya resheniya uravneniya Khopfa na osnove dvukh razlichnykh divergentnykh form”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 16:2 (2023), 91–103  mathnet  crossref
    4. 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
    5. E. K. Guseva, V. I. Golubev, I. B. Petrov, “Linear Quasi-Monotone and Hybrid Grid-Characteristic Schemes for the Numerical Solution of Linear Acoustic Problems1”, Numer. Analys. Appl., 16:2 (2023), 112  crossref
    6. V. A. Guschin, “Razrabotka i primenenie metoda rasschepleniya po fizicheskim faktoram dlya issledovaniya techenii neszhimaemoi zhidkosti”, Kompyuternye issledovaniya i modelirovanie, 14:4 (2022), 715–739  mathnet  crossref
    7. D. V. Sadin, “Efficient implementation of the hybrid large-particle method”, Math. Models Comput. Simul., 14:6 (2022), 946–954  mathnet  crossref  crossref  mathscinet
    8. Alexander Sukhinov, Alexander Chistyakov, Inna Kuznetsova, Yulia Belova, Elena Rahimbaeva, “Development and Research of a Modified Upwind Leapfrog Scheme for Solving Transport Problems”, Mathematics, 10:19 (2022), 3564  crossref
    9. N. Ya. Moiseev, V. M. Shmakov, “Semi-implicit and semidiscrete difference schemes for solving a nonstationary kinetic equation of thermal radiative transfer and energy equation”, Comput. Math. Math. Phys., 62:3 (2022), 476–486  mathnet  mathnet  crossref  crossref  isi  scopus
    10. Sadin V D., Golikov I.O., Shirokova E.N., “Testing of the Hybrid Large-Particle Method Using Two-Dimensional Riemann Problems”, St. Petersb. Polytech. Univ. J.-Phys. Math., 14:1 (2021), 58–71  crossref  isi
    11. A. A. Shestakov, “Comparison of hybrid DDAD/ST and DDAD-TVDR schemes for solving 2D radiative heat transfer”, Math. Models Comput. Simul., 14:2 (2022), 261–269  mathnet  mathnet  crossref  crossref
    12. 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
    13. A. I. Lobanov, F. H. Mirov, “Difference schemes for drain transfer equation based on space of undefined coefficients analysis”, Math. Models Comput. Simul., 13:3 (2021), 395–407  mathnet  crossref  crossref
    14. D. V. Sadin, “Analiz dissipativnykh svoistv gibridnogo metoda krupnykh chastits dlya strukturno slozhnykh techenii gaza”, Kompyuternye issledovaniya i modelirovanie, 12:4 (2020), 757–772  mathnet  crossref
    15. Bragin M.D. Rogov B.V., “Conservative Limiting Method For High-Order Bicompact Schemes as Applied to Systems of Hyperbolic Equations”, Appl. Numer. Math., 151 (2020), 229–245  crossref  isi
    16. Gerasim V. Krivovichev, “Parametric schemes for the simulation of the advection process in finite-difference-based single-relaxation-time lattice Boltzmann methods”, Journal of Computational Science, 44 (2020), 101151  crossref
    17. M. D. Bragin, B. V. Rogov, “Konservativnaya monotonizatsiya bikompaktnykh skhem”, Preprinty IPM im. M. V. Keldysha, 2019, 008, 26 pp.  mathnet  crossref  elib
    18. 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
    19. K E Shilnikov, M B Kochanov, “Numerical simulation of cryosurgery in biological tissue with developed circulatory system”, IOP Conf. Ser.: Mater. Sci. Eng., 657:1 (2019), 012039  crossref
    20. A. I. Lobanov, “Raznostnye skhemy dlya uravneniya perenosa, udovletvoryayuschie obobschennomu usloviyu approksimatsii”, Kompyuternye issledovaniya i modelirovanie, 10:2 (2018), 181–193  mathnet  crossref
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