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Matematicheskoe modelirovanie, 1990, Volume 2, Number 4, Pages 78–87 (Mi mm2356)  

This article is cited in 9 scientific papers (total in 9 papers)

Computational methods and algorithms

Hamiltonian methods of Runge–Kutta type and their variational interpretation

Yu. B. Suris

Leningrad Polytechnical Institute
Full-text PDF (986 kB) Citations (9)
Abstract: Numerical Methods of canonical type for solution of Hamilton systems are constructed. Discrete analogue of principle of least action is proved.
Received: 05.07.1989
Bibliographic databases:
UDC: 519.62
Language: Russian
Citation: Yu. B. Suris, “Hamiltonian methods of Runge–Kutta type and their variational interpretation”, Mat. Model., 2:4 (1990), 78–87
Citation in format AMSBIB
\Bibitem{Sur90}
\by Yu.~B.~Suris
\paper Hamiltonian methods of Runge--Kutta type and their variational interpretation
\jour Mat. Model.
\yr 1990
\vol 2
\issue 4
\pages 78--87
\mathnet{http://mi.mathnet.ru/mm2356}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1064467}
\zmath{https://zbmath.org/?q=an:0972.70500}
Linking options:
  • https://www.mathnet.ru/eng/mm2356
  • https://www.mathnet.ru/eng/mm/v2/i4/p78
  • This publication is cited in the following 9 articles:
    1. E. A. Ayryan, M. D. Malykh, L. A. Sevastyanov, “Differential schemes for the ordinary differential equations defining a projective correspondence between layers”, J. Math. Sci. (N. Y.), 240:5 (2019), 634–645  mathnet  crossref
    2. Kiselev S.P., “Method of Molecular Dynamics in Mechanics of Deformable Solids”, J. Appl. Mech. Tech. Phys., 55:3 (2014), 470–493  crossref  isi
    3. Gevorkyan M.N., “Konkretnye realizatsii simplekticheskikh chislennykh metodov”, Vestnik rossiiskogo universiteta druzhby narodov. seriya: matematika, informatika, fizika, 2013, no. 1, 77–89 Speci  elib
    4. Gevorkyan M.N., “Uslovie yavnosti i diagonalnoi neyavnosti pri kompozitsii metoda runge-kutty so svoim prisoedinennym”, Vestnik rossiiskogo universiteta druzhby narodov. seriya: matematika, informatika, fizika, 2012, no. 3, 87–96 The condition of explicitness and the diagonal implicitness for composition of runge-kutta method with its adjoint one  elib
    5. Yu. A. Bondarenko, “Phase volume and canonicity preservation in finite-difference gas dynamic schemes constructed with the sequential variational method”, Math. Models Comput. Simul., 3:5 (2011), 646–660  mathnet  crossref  mathscinet
    6. Sofronov V.N., Mokina K.S., Shemarulin V.E., “Raznostnye skhemy molekulyarnoi dinamiki. 1. sravnitelnyi analiz ustoichivosti, tochnosti i ekonomichnosti”, Voprosy atomnoi nauki i tekhniki. Seriya: Matematicheskoe modelirovanie fizicheskikh protsessov, 2011, no. 2, 18–32  elib
    7. Bondarenko Yu.A., “Primenenie variatsionnykh printsipov mekhaniki dlya postroeniya diskretnykh po vremeni raznostnykh modelei gazodinamiki. 7. sokhranenie fazovogo ob'ema i kanonichnosti v konechno-raznostnykh skhemakh tipa “krest””, Voprosy atomnoi nauki i tekhniki. Seriya: Matematicheskoe modelirovanie fizicheskikh protsessov, 2011, no. 1, 3–16  elib
    8. Bondarenko Yu.A., “Primenenie variatsionnykh printsipov mekhaniki dlya postroeniya diskretnykh po vremeni raznostnykh modelei gazodinamiki. 8. sokhranenie fazovogo ob'ema i kanonichnosti v neyavnykh konechno-raznostnykh skhemakh”, Voprosy atomnoi nauki i tekhniki. Seriya: Matematicheskoe modelirovanie fizicheskikh protsessov, 2011, no. 2, 3–17  elib
    9. A. P. Veselov, “Integrable maps”, Russian Math. Surveys, 46:5 (1991), 1–51  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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