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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1978, Volume 18, Number 6, Pages 1476–1492 (Mi zvmmf5481)  

This article is cited in 42 scientific papers (total in 43 papers)

Construction of difference schemes with a positive approximation for equations of hyperbolic type

A. S. Kholodov

Moscow
Received: 22.07.1977
English version:
USSR Computational Mathematics and Mathematical Physics, 1978, Volume 18, Issue 6, Pages 116–132
DOI: https://doi.org/10.1016/0041-5553(78)90141-6
Bibliographic databases:
Document Type: Article
UDC: 518:517.944/.947
MSC: Primary 65N06; Secondary 65M06, 35L60
Language: Russian
Citation: A. S. Kholodov, “Construction of difference schemes with a positive approximation for equations of hyperbolic type”, Zh. Vychisl. Mat. Mat. Fiz., 18:6 (1978), 1476–1492; U.S.S.R. Comput. Math. Math. Phys., 18:6 (1978), 116–132
Citation in format AMSBIB
\Bibitem{Kho78}
\by A.~S.~Kholodov
\paper Construction of difference schemes with a positive approximation for equations of hyperbolic type
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1978
\vol 18
\issue 6
\pages 1476--1492
\mathnet{http://mi.mathnet.ru/zvmmf5481}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=518279}
\zmath{https://zbmath.org/?q=an:0413.65076}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1978
\vol 18
\issue 6
\pages 116--132
\crossref{https://doi.org/10.1016/0041-5553(78)90141-6}
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  • https://www.mathnet.ru/eng/zvmmf/v18/i6/p1476
  • This publication is cited in the following 43 articles:
    1. Vasily I. Golubev, Ilia S. Nikitin, Xi Mi, “Numerical schemes of higher approximation orders for dynamic problems of elastoviscoplastic media”, Zhurn. SFU. Ser. Matem. i fiz., 17:1 (2024), 8–17  mathnet
    2. A. Yu. Trynin, “Ob odnom metode resheniya smeshannoi kraevoi zadachi dlya uravneniya parabolicheskogo tipa s pomoschyu operatorov ATλ,j”, Izv. vuzov. Matem., 2024, no. 2, 59–80  mathnet  crossref
    3. A. Yu. Trynin, “On One Method for Solving a Mixed Boundary Value Problem for a Parabolic Type Equation Using Operators ATλ,j”, Russ Math., 68:2 (2024), 52  crossref
    4. 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
    5. A. Yu. Trynin, “A method for solution of a mixed boundary value problem for a hyperbolic type equation using the operators ATλ,j”, Izv. Math., 87:6 (2023), 1227–1254  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    6. A. I. Lopato, Ya. E. Poroshina, P. S. Utkin, “Chislennoe issledovanie mekhanizmov rasprostraneniya pulsiruyuschei gazovoi detonatsii v neodnorodnoi srede”, Kompyuternye issledovaniya i modelirovanie, 15:5 (2023), 1263–1282  mathnet  crossref
    7. V. I. Golubev, I. S. Nikitin, “Refined schemes for computing the dynamics of elastoviscoplastic media”, Comput. Math. Math. Phys., 63:10 (2023), 1874–1885  mathnet  mathnet  crossref  crossref
    8. A. Yu. Trynin, “On a method for solving a mixed boundary value problem for a parabolic equation using modified sinc-approximation operators”, Comput. Math. Math. Phys., 63:7 (2023), 1264–1284  mathnet  mathnet  crossref  crossref
    9. 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
    10. Poroshyna Ya.E., Lopato I A., Utkin P.S., “Nonlinear Dynamics of Pulsating Detonation Wave With Two-Stage Chemical Kinetics in the Shock-Attached Frame”, J. Inverse Ill-Posed Probl., 29:4 (2021), 557–576  crossref  isi
    11. 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
    12. Igor B. Petrov, Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy, 2020, 299  crossref
    13. Alexander I. Lopato, Pavel S. Utkin, “The usage of grid-characteristic method for the simulation of flows with detonation waves”, Smart Innovation, Systems and Technologies, 133 (2019), 281–290  mathnet  crossref  scopus
    14. Sergey Simakov, Timur Gamilov, Smart Innovation, Systems and Technologies, 133, Smart Modeling for Engineering Systems, 2019, 309  crossref
    15. A. I. Lobanov, “Raznostnye skhemy dlya uravneniya perenosa, udovletvoryayuschie obobschennomu usloviyu approksimatsii”, Kompyuternye issledovaniya i modelirovanie, 10:2 (2018), 181–193  mathnet  crossref
    16. A. V. Favorskaya, I. B. Petrov, “Study of seismic isolation by full-wave numerical modeling”, Dokl. Earth Sci., 481:2 (2018), 1070–1072  mathnet  crossref  crossref  isi  scopus
    17. Godunov S.K. Klyuchinskiy D.V. Safronov A.V. Fortova S.V. Shepelev V.V., Xxxii International Conference on Interaction of Intense Energy Fluxes With Matter (Elbrus 2017), Journal of Physics Conference Series, 946, IOP Publishing Ltd, 2018  crossref  isi  scopus
    18. Favorskaya A.V. Petrov I.B., “Theory and Practice of Wave Processes Modelling”, Innovations in Wave Processes Modelling and Decision Making: Grid-Characteristic Method and Applications, Smart Innovation Systems and Technologies, 90, ed. Favorskaya A. Petrov I., Springer-Verlag Berlin, 2018, 1–6  crossref  mathscinet  isi  scopus
    19. A. I. Lobanov, “Nauchnye i pedagogicheskie shkoly Aleksandra Sergeevicha Kholodova”, Kompyuternye issledovaniya i modelirovanie, 10:5 (2018), 561–579  mathnet  crossref
    20. Ya. V. Nevmerzhitskii, “Primenenie metoda linii toka dlya uskoreniya raschetov neizotermicheskoi nelineinoi filtratsii”, Kompyuternye issledovaniya i modelirovanie, 10:5 (2018), 709–728  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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