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Mat. Sb. (N.S.), 1959, Volume 47(89), Number 3, Pages 271–306 (Mi msb4873)  
This article is cited in 147 scientific papers (total in 149 papers)

A difference method for numerical calculation of discontinuous solutions of the equations of hydrodynamics

S. K. Godunov


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Received: 20.03.1956

Citation: S. K. Godunov, “A difference method for numerical calculation of discontinuous solutions of the equations of hydrodynamics”, Mat. Sb. (N.S.), 47(89):3 (1959), 271–306

Citation in format AMSBIB 
\Bibitem{God59}
\by S.~K.~Godunov
\paper A~difference method for numerical calculation of discontinuous solutions of the equations of hydrodynamics
\jour Mat. Sb. (N.S.)
\yr 1959
\vol 47(89)
\issue 3
\pages 271--306
\mathnet{http://mi.mathnet.ru/msb4873}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=119433}
\zmath{https://zbmath.org/?q=an:0171.46204}


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  • http://mi.mathnet.ru/eng/msb4873
  • http://mi.mathnet.ru/eng/msb/v89/i3/p271

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    This publication is cited in the following articles:
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    5. A. A. Charakhch'yan, “Almost conservative difference schemes for the equations of gas dynamics”, Comput. Math. Math. Phys., 33:11 (1993), 1473–1481  mathnet  mathscinet  zmath  isi
    6. V. F. Kamenetskiǐ, A. Yu. Semenov, “Self-consistent isolation of discontinuities in through calculations of gas-dynamic flows”, Comput. Math. Math. Phys., 34:10 (1994), 1287–1297  mathnet  mathscinet  zmath  isi
    7. I. V. Egorov, D. V. Ivanov, “The use of fully implicit monotone schemes to model plane internal flows”, Comput. Math. Math. Phys., 36:12 (1996), 1717–1730  mathnet  mathscinet  zmath  isi
    8. A. I. Tolstykh, D. A. Shirobokov, “Difference schemes with fifth-order compact approximations for three-dimensional viscous gas flows”, Comput. Math. Math. Phys., 36:4 (1996), 477–489  mathnet  mathscinet  zmath  isi
    9. S. P. Popov, “A modification of the gas dynamic scheme SHASTA”, Comput. Math. Math. Phys., 36:3 (1996), 391–394  mathnet  mathscinet  zmath  isi
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    12. B. M. Palatnik, V. I. Piskarev, “The use of a high-accuracy numerical scheme to model two-phase flow through a porous medium”, Comput. Math. Math. Phys., 36:11 (1996), 1581–1590  mathnet  zmath
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    14. N. Ya. Moiseev, “Soglasovannaya approksimatsiya v raznostnykh skhemakh tipa S. K. Godunova dlya resheniya odnomernykh zadach gazovoi dinamiki”, Zh. vychisl. matem. i matem. fiz., 36:1 (1996), 149–150  mathnet
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    35. V. M. Goloviznin, S. A. Karabasov, “Balansno-kharakteristicheskie skhemy na kusochno-postoyannykh nachalnykh dannykh. Pryzhkovyi perenos”, Matem. modelirovanie, 15:10 (2003), 71–83  mathnet  mathscinet  zmath
    36. N. M. Borisova, V. V. Ostapenko, “On accuracy of the shock wave computations by the shock-fitting method”, Comput. Math. Math. Phys., 43:10 (2003), 1437–1458  mathnet  mathscinet  zmath  elib
    37. A. S. Kholodov, Ya. A. Kholodov, E. L. Stupitskii, A. Yu. Repin, “Chislennoe issledovanie povedeniyavysokoenergetichnogo plazmennogo sgustka v verkhnei ionosfere. Chast 2. Razrabotka trekhmernoi modeli”, Matem. modelirovanie, 16:8 (2004), 3–23  mathnet  zmath
    38. K. V. Brushlinskii, A. V. Zabrodin, V. S. Ryabenkii, “S. K. Godunov v Institute prikladnoi matematiki”, Sib. zhurn. industr. matem., 7:2 (2004), 4–8  mathnet  mathscinet  zmath
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    44. Vladimir P. Gerdt, Yuri A. Blinkov, Vladimir V. Mozzhilkin, “Gröbner Bases and Generation of Difference Schemes for Partial Differential Equations”, SIGMA, 2 (2006), 051, 26 pp.  mathnet  crossref  mathscinet  zmath
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    46. V. A. Titarev, E. M. Shakhov, “Numerical analysis of the spiral Couette flow of a rarefied gas between coaxial cylinders”, Comput. Math. Math. Phys., 46:3 (2006), 505–513  mathnet  crossref  mathscinet  zmath  elib  elib
    47. K. V. Brushlinskii, N. S. Zhdanova, “Computation of axisymmetric MHD flows in a channel with an external longitudinal magnetic field”, Comput. Math. Math. Phys., 46:3 (2006), 527–536  mathnet  crossref  mathscinet  zmath  elib  elib
    48. I. S. Menshov, “Metody variatsionnoi zadachi Rimana v vychislitelnoi gazodinamike”, Matem. modelirovanie, 19:6 (2007), 86–108  mathnet  mathscinet  zmath
    49. P. V. Breslavskii, V. I. Mazhukin, “Modelirovanie vzaimodeistviya udarnykh voln na dinamicheski adaptiruyuschikhsya setkakh”, Matem. modelirovanie, 19:11 (2007), 83–95  mathnet  mathscinet  zmath  elib
    50. I. E. Ivanov, I. A. Kryukov, “Chislennoe modelirovanie techenii mnogokomponentnogo gaza s silnymi razryvami svoistv sredy”, Matem. modelirovanie, 19:12 (2007), 89–100  mathnet  zmath  elib
    51. G. P. Prokopov, “Necessity of entropy control in gasdynamic computations”, Comput. Math. Math. Phys., 47:9 (2007), 1528–1537  mathnet  crossref  mathscinet  elib  elib
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    		• Ìàòåìàòè÷åñêèé ñáîðíèê (íîâàÿ ñåðèÿ) - 1947–1963
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