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Mat. Sb. (N.S.), 1959, Volume 47(89), Number 3, Pages 271–306 (Mi msb4873)  
This article is cited in 150 scientific papers (total in 152 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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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. I. S. Menshov, “Increasing the order of approximation of Godunov's scheme using solutions of the generalized Riemann problem”, U.S.S.R. Comput. Math. Math. Phys., 30:5 (1990), 54–65  mathnet  crossref  mathscinet  zmath
    2. A. A. Charakhch'yan, “Symmetric and asymmetric splitting schemes for the equations of gas dynamics”, U.S.S.R. Comput. Math. Math. Phys., 31:11 (1991), 63–73  mathnet  mathscinet  zmath  isi
    3. M. Ya. Ivanov, V. G. Krupa, “An implicit nonfactorized method for calculating turbulent flows of a viscous heat-conducting gas in turbomachine cascades”, U.S.S.R. Comput. Math. Math. Phys., 31:5 (1991), 83–92  mathnet  mathscinet  isi
    4. M. Ya. Ivanov, V. G. Krupa, “Calculation of the spatial interaction of a shock wave with a boundary layer on a cylinder”, Comput. Math. Math. Phys., 32:4 (1992), 531–541  mathnet  mathscinet  zmath  isi
    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
    10. E. I. Vasil'ev, “$W$-modification of S. K. Godunov's method and its application to two-dimensional unsteady flows of a dusty gas”, Comput. Math. Math. Phys., 36:1 (1996), 101–112  mathnet  mathscinet  zmath  isi
    11. L. A. Bazyma, V. I. Kholyavko, “A modification of Godunov's finite difference scheme on s mobile grid”, Comput. Math. Math. Phys., 36:4 (1996), 525–532  mathnet  zmath
    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
    13. A. P. Malyshev, “A monotone difference scheme of increased accuracy for the computer simulation of wave processes”, Comput. Math. Math. Phys., 36:9 (1996), 1295–1298  mathnet  zmath
    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
    15. I. V. Yegorov, D. V. Ivanov, “Simulation of confined separated flows in chemical nonequilibrium”, Comput. Math. Math. Phys., 37:6 (1997), 731–738  mathnet  mathscinet  zmath
    16. N. V. Pogorelov, A. Yu. Semenov, “A family of approximate solutions to the MHD Riemann problem retaining the shock relations”, Comput. Math. Math. Phys., 37:3 (1997), 320–328  mathnet  mathscinet  zmath
    17. V. A. Gushchin, P. V. Matyushin, “Numerical simulation of separated flow past a sphere”, Comput. Math. Math. Phys., 37:9 (1997), 1086–1100  mathnet  mathscinet  zmath
    18. V. V. Belikov, A. Yu. Semenov, “A Godunov-type method based on an exact solution to the Riemann problem for the shallow-water equations”, Comput. Math. Math. Phys., 37:8 (1997), 974–986  mathnet  mathscinet  zmath
    19. Yu. K. Bobrov, Yu. V. Yurgelenas, “Application of high-resolution schemes in the modeling of ionization waves in gas discharges”, Comput. Math. Math. Phys., 38:10 (1998), 1652–1661  mathnet  mathscinet  zmath
    20. V. V. Ostapenko, “On the strong monotonicity of nonlinear difference schemes”, Comput. Math. Math. Phys., 38:7 (1998), 1119–1133  mathnet  mathscinet  zmath
    21. I. V. Yegorov, D. V. Ivanov, “Application of Newton's method in simulation of unsteady separated flows”, Comput. Math. Math. Phys., 38:3 (1998), 488–492  mathnet  mathscinet  zmath
    22. V. G. Krupa, “Construction of high-order accurate difference schemes for hyperbolic equations”, Comput. Math. Math. Phys., 38:1 (1998), 81–94  mathnet  mathscinet  zmath
    23. O. M. Belotserkovskii, A. S. Kholodov, “Majorizing schemes on unstructured grids in the space of indeterminate coefficients”, Comput. Math. Math. Phys., 39:11 (1999), 1730–1747  mathnet  mathscinet  zmath  elib
    24. A. N. Kraiko, V. E. Makarov, D. E. Pudovikov, “Construction of the bow wave through upstream computation of a supersonic flow by the method of characteristics”, Comput. Math. Math. Phys., 39:11 (1999), 1814–1819  mathnet  mathscinet  zmath  elib
    25. V. V. Ostapenko, “Strong monotonicity of finite-difference schemes for systems of conservation laws”, Comput. Math. Math. Phys., 39:10 (1999), 1619–1635  mathnet  mathscinet  zmath  elib
    26. V. V. Akimenko, “Monotone high-order accurate schemes for transport and parabolic equations”, Comput. Math. Math. Phys., 39:5 (1999), 805–816  mathnet  mathscinet  zmath
    27. S. A. Velichko, Yu. B. Lifshits, I. A. Solntsev, “Computation of unsteady flows with a scheme of improved accuracy”, Comput. Math. Math. Phys., 39:5 (1999), 817–831  mathnet  mathscinet  zmath  elib
    28. A. F. Voevodin, V. V. Ostapenko, “O raschete preryvnykh voln v otkrytykh ruslakh”, Sib. zhurn. vychisl. matem., 3:4 (2000), 305–321  mathnet  zmath
    29. P. N. Vabishchevich, V. A. Pervichko, A. A. Samarskii, V. V. Chudanov, “Nonlinear regularized finite-difference schemes for the multidimensional transport equation”, Comput. Math. Math. Phys., 40:6 (2000), 860–867  mathnet  mathscinet  zmath  elib
    30. A. A. Charakhch'yan, “On algorithms for computing the Riemann problem by means of Godunov's scheme”, Comput. Math. Math. Phys., 40:5 (2000), 746–760  mathnet  mathscinet  zmath  elib
    31. A. N. Gilmanov, “A local characteristic approach in high-order differencing”, Comput. Math. Math. Phys., 40:4 (2000), 529–533  mathnet  mathscinet  zmath  elib
    32. V. V. Ostapenko, “Construction of high-order accurate shock-capturing finite difference schemes for unsteady shock waves”, Comput. Math. Math. Phys., 40:12 (2000), 1784–1800  mathnet  mathscinet  zmath  elib
    33. V. F. Kuropatenko, “Metody rascheta udarnykh voln”, Dalnevost. matem. zhurn., 2:2 (2001), 45–59  mathnet  elib
    34. V. A. Bashkin, I. V. Yegorov, D. V. Ivanov, V. V. Pafnut'ev, “Three-dimensional laminar streamlining of axially symmetric bodies by supersonic gas flow”, Comput. Math. Math. Phys., 42:12 (2002), 1792–1801  mathnet  mathscinet  zmath
    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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    41. S. N. Borovikov, I. E. Ivanov, I. A. Kryukov, “Modelirovanie prostranstvennykh techenii idealnogo gaza s ispolzovaniem tetraedralnykh setok”, Matem. modelirovanie, 18:8 (2006), 37–48  mathnet  zmath
    42. V. F. Kuropatenko, I. R. Makeeva, “Issledovanie distraktsii razryvov v metodakh rascheta udarnykh voln”, Matem. modelirovanie, 18:3 (2006), 120–128  mathnet  mathscinet  zmath  elib
    43. T. Z. Ismagilov, “On a smooth volume approach, integral conservation law, and upwind scheme with monotonic reconstruction”, Sib. zhurn. vychisl. matem., 9:4 (2006), 345–352  mathnet
    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
    45. A. S. Kholodov, Ya. A. Kholodov, “Monotonicity criteria for difference schemes designed for hyperbolic equations”, Comput. Math. Math. Phys., 46:9 (2006), 1560–1588  mathnet  crossref  mathscinet  elib  elib
    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
    52. P. V. Breslavskiy, V. I. Mazhukin, “Dynamically adapted grids for interacting discontinuous solutions”, Comput. Math. Math. Phys., 47:4 (2007), 687–706  mathnet  crossref  mathscinet  zmath  elib  elib
    53. D. P. Babii, S. K. Godunov, V. T. Zhukov, O. B. Feodoritova, “On the difference approximations of overdetermined hyperbolic equations of classical mathematical physics”, Comput. Math. Math. Phys., 47:3 (2007), 427–441  mathnet  crossref  mathscinet  zmath  elib  elib
    54. O. A. Kovyrkina, V. V. Ostapenko, “Asimptoticheskoe razlozhenie raznostnogo resheniya v okrestnosti silnogo razryva”, Vestn. NGU. Ser. matem., mekh., inform., 7:4 (2007), 49–73  mathnet
    55. A. V. Safronov, “Raznostnyi metod dlya uravnenii gazodinamiki iz sootnoshenii na razryvakh”, Matem. modelirovanie, 20:2 (2008), 76–84  mathnet  zmath; A. V. Safronov, “A numerical method for solving Euler equations based on jump condition”, Math. Models Comput. Simul., 1:1 (2009), 64–71  crossref
    56. M. V. Buntina, V. V. Ostapenko, “TVD scheme for computing open channel wave flows”, Comput. Math. Math. Phys., 48:12 (2008), 2241–2253  mathnet  crossref  mathscinet  isi  elib  elib
    57. E. I. Vasilev, A. S. Demin, “Three-dimensional generalization for W-modification of a Godunov method”, Comput. Math. Math. Phys., 48:9 (2008), 1620–1633  mathnet  crossref  mathscinet  isi  elib
    58. S. L. Kivva, “Finding nonoscillatory solutions to difference schemes for the advection equation”, Comput. Math. Math. Phys., 48:9 (2008), 1646–1657  mathnet  crossref  mathscinet  isi  elib
    59. Yu. V. Vassilevski, I. V. Kapyrin, “Two splitting schemes for the nonstationary convection-diffusion problem on tetrahedral meshes”, Comput. Math. Math. Phys., 48:8 (2008), 1349–1366  mathnet  crossref  mathscinet  zmath  isi  elib  elib
    60. N. Ya. Moiseev, I. Yu. Silant'eva, “Arbitrary-order difference schemes for solving linear advection equations with constant coefficients by the Godunov method with antidiffusion”, Comput. Math. Math. Phys., 48:7 (2008), 1210–1220  mathnet  crossref  isi  elib  elib
    61. V. V. Ostapenko, “O monotonnosti balansno-kharakteristicheskoi skhemy”, Matem. modelirovanie, 21:7 (2009), 29–42  mathnet  mathscinet
    62. M. E. Ladonkina, O. A. Neklyudova, V. F. Tishkin, V. S. Chevanin, “Ob odnom variante suschestvenno neostsilliruyuschikh raznostnykh skhem vysokogo poryadka tochnosti dlya sistem zakonov sokhraneniya”, Matem. modelirovanie, 21:11 (2009), 19–32  mathnet  mathscinet  zmath; M. E. Ladonkina, O. A. Neklyudova, V. F. Tishkin, V. S. Chevanin, “About one choice of essentially non-oscillatory high occuracy order difference scheme for systems of conservation laws”, Math. Models Comput. Simul., 2:3 (2010), 304–316  crossref
    63. N. Ya. Moiseev, I. Yu. Silant'eva, “High-accuracy difference schemes for solving gasdynamic equations by the Godunov method with antidiffusion”, Comput. Math. Math. Phys., 49:5 (2009), 827–841  mathnet  crossref  zmath  isi  elib
    64. V. A. Titarev, “Numerical method for computing two-dimensional unsteady rarefied gas flows in arbitrarily shaped domains”, Comput. Math. Math. Phys., 49:7 (2009), 1197–1211  mathnet  crossref  mathscinet  zmath  isi  elib  elib
    65. O. A. Makotra, N. Ya. Moiseev, I. Yu. Silant'eva, T. V. Topchii, N. L. Frolova, “Symmetric difference schemes of componentwise splitting and equivalent predictor-corrector scheme based on the Godunov method as applied to multidimensional gasdynamic simulation”, Comput. Math. Math. Phys., 49:11 (2009), 1885–1901  mathnet  crossref  isi  elib  elib
    66. Vershinskaya A.S., Gadzhiev A.D., Grabovenskaya S.A., Shestakov A.A., “Primenenie TVD-podkhoda k resheniyu uravneniya perenosa teplovogo izlucheniya v $P_1$-priblizhenii”, Voprosy atomnoi nauki i tekhniki. Ser.: Matematicheskoe modelirovanie fizicheskikh protsessov, 2009, no. 2, 21–36  elib
    67. Gadzhiev A.D., Zavyalov V.V., Shestakov A.A., “Primenenie TVD-podkhoda k $DS_n$-metodu resheniya uravneniya perenosa teplovogo izlucheniya”, Voprosy atomnoi nauki i tekhniki. Ser.: Matematicheskoe modelirovanie fizicheskikh protsessov, 2009, no. 2, 37–48  mathscinet  elib
    68. Ivanov I.E., “Chislennoe modelirovanie mnogofaznykh techenii s bolshim soderzhaniem dispersnoi fazy”, Vestn. Mosk. aviatsionnogo in-ta, 16:2 (2009), 8  elib
    69. Pirogov S.Yu., Yurev A.S., Tipaev V.V., Makhrov A.S., “Chislennoe modelirovanie techeniya na vkhode v sverkhzvukovoi vozdukhozabornik vneshnego szhatiya pri energopodvode v nabegayuschii sverkhzvukovoi potok”, Vestn. Mosk. aviatsionnogo in-ta, 16:3 (2009), 22  elib
    70. Matus P.P., Chuiko M.M., “Investigation of the stability and convergence of difference schemes for a polytropic gas with subsonic flows”, Differ. Equ., 45:7 (2009), 1074–1085  crossref  mathscinet  zmath  isi  elib
    71. Peshkov I.M., “Chislennoe modelirovanie razryvnykh reshenii v nelineinoi teorii uprugosti”, Prikladnaya mekhanika i tekhnicheskaya fizika, 50:5 (2009), 152–161  elib
    72. G. P. Prokopov, A. V. Severin, “Ekonomichnaya realizatsiya metoda Godunova”, Preprinty IPM im. M. V. Keldysha, 2009, 029, 24 pp.  mathnet
    73. K. V. Brushlinskiǐ, V. G. Zhukov, M. K. Kerimov, “Academician SergeĭKonstantinovich Godunov (on the occasion of his eightieth birthday)”, Comput. Math. Math. Phys., 50:1 (2010), 1–6  mathnet  crossref  mathscinet  adsnasa  isi  elib
    74. S. K. Godunov, I. M. Peshkov, “A thermodynamically consistent nonlinear model of an elastoplastic Maxwell medium”, Comput. Math. Math. Phys., 50:8 (2010), 1409–1426  mathnet  crossref  mathscinet  adsnasa  isi  elib  elib
    75. V. A. Titarev, “Implicit numerical method for computing three-dimensional rarefied gas flows on unstructured meshes”, Comput. Math. Math. Phys., 50:10 (2010), 1719–1733  mathnet  crossref  adsnasa  isi  elib
    76. P. Yu. Tomin, “O primenenii trasserov dlya vyyavleniya osobennostei sredy v mezhskvazhinnom prostranstve”, Preprinty IPM im. M. V. Keldysha, 2010, 086, 12 pp.  mathnet
    77. S. K. Godunov, Yu. D. Manuzina, M. A. Nazareva, “Experimental analysis of convergence of the numerical solution to a generalized solution in fluid dynamics”, Comput. Math. Math. Phys., 51:1 (2011), 88–95  mathnet  crossref  mathscinet  isi  elib
    78. B. Yu. Krysanov, V. E. Kunitsyn, A. S. Kholodov, “MHD-based simulation of ionospheric perturbations generated in the atmospheric surface layer”, Comput. Math. Math. Phys., 51:2 (2011), 264–283  mathnet  crossref  mathscinet  isi  elib
    79. N. Ya. Moiseev, “High-order accurate monotone difference schemes for solving gasdynamic problems by Godunov's method with antidiffusion”, Comput. Math. Math. Phys., 51:4 (2011), 676–687  mathnet  crossref  mathscinet  isi  elib
    80. B. V. Rogov, M. N. Mikhailovskaya, “Monotonnye bikompaktnye skhemy dlya lineinogo uravneniya perenosa”, Matem. modelirovanie, 23:6 (2011), 98–110  mathnet  mathscinet  elib; B. V. Rogov, M. N. Mikhailovskaya, “The monotonic bicompact schemes for a linear transfer equation”, Math. Models Comput. Simul., 4:1 (2012), 92–100  crossref
    81. I. S. Menshov, A. N. Nenashev, “Modelirovanie krupnykh vikhrevykh struktur v osesimmetrichnykh struinykh techeniyakh”, Matem. modelirovanie, 23:11 (2011), 111–130  mathnet  mathscinet
    82. B. V. Rogov, M. N. Mikhailovskaya, “Monotonnaya vysokotochnaya kompaktnaya skhema beguschego scheta dlya kvazilineinykh uravnenii giperbolicheskogo tipa”, Matem. modelirovanie, 23:12 (2011), 65–78  mathnet  mathscinet; B. V. Rogov, M. N. Mikhailovskaya, “Monotone high-precision compact scheme for quasilinear hyperbolic equations”, Math. Models Comput. Simul., 4:4 (2012), 375–384  crossref
    83. Prokopov G.P., “K voprosu o priblizhennykh realizatsiyakh metoda godunova”, Preprinty IPM im. M.V. Keldysha, 2011, no. 4, 1–31  elib
    84. Zholobov V.V., Moretskii V.Yu., “Matematicheskaya model rassloennogo rezhima techeniya dvukhfaznoi dvukhkomponentnoi zhidkosti v truboprovode”, Nauka i tekhnologii truboprovodnogo transporta nefti i nefteproduktov, 2011, no. 3, 50–57  elib
    85. Rogov B.V., Mikhailovskaya M.N., “Monotonnaya vysokotochnaya kompaktnaya skhema beguschego scheta dlya kvazilineinykh uravnenii giperbolicheskogo tipa”, Doklady Akademii nauk, 440:2 (2011), 172–177  elib
    86. Rogov B.V., Mikhailovskaya M.N., “Monotonnye bikompaktnye skhemy dlya lineinogo uravneniya perenosa”, Doklady Akademii nauk, 436:5 (2011), 600–605  elib
    87. Borovoi V.Ya., Egorov I.V., Noev A.Yu., Skuratov A.S., Struminskaya I.V., “Dvumernoe vzaimodeistvie padayuschego skachka uplotneniya s turbulentnym pogranichnym sloem v prisutstvii entropiinogo sloya”, Izvestiya Rossiiskoi akademii nauk. Mekhanika zhidkosti i gaza, 2011, no. 6, 88–109  elib
    88. Kholodov A.S., Vasilev M.O., Molokov E.A., “Chislennye magnitogidrodinamicheskie modeli verkhnei atmosfery zemli i nekotorye ikh prilozheniya”, Izvestiya Rossiiskoi akademii nauk. Fizika atmosfery i okeana, 47:1 (2011), 96–117  elib
    89. Makuev N.R., Shvedov A.S., “Ob otsenke protsentnykh finansovykh instrumentov putem chislennogo resheniya uravnenii srochnoi struktury”, Ekonomicheskii zhurnal vysshei shkoly ekonomiki, 15:3 (2011), 374–382  elib
    90. Abakumov M.V., Galanina A.M., Isakov V.A., Tyurina N.N., Favorskii A.P., Khrulenko A.B., “Kvaziakusticheskaya skhema dlya uravnenii eilera gazovoi dinamiki”, Differentsialnye uravneniya, 47:8 (2011), 1092–1098  elib
    91. Kotov D.V., Surzhikov S.T., “Raschet techenii vyazkogo i nevyazkogo gaza na nestrukturirovannykh setkakh s ispolzovaniem skhemy ausm”, Vychislitelnaya mekhanika sploshnykh sred = Computational Continuum Mechanics, 4:1 (2011), 36–54  elib
    92. G. P. Prokopov, “K voprosu o priblizhennykh realizatsiyakh metoda Godunova”, Preprinty IPM im. M. V. Keldysha, 2011, 004, 31 pp.  mathnet
    93. V. S. Chevanin, “Chislennoe modelirovanie razvitiya gidrodinamicheskikh neustoichivostei na mnogoprotsessornykh sistemakh”, Matem. modelirovanie, 24:2 (2012), 17–32  mathnet  mathscinet
    94. V. V. Ostapenko, “On the strong monotonicity of the CABARET scheme”, Comput. Math. Math. Phys., 52:3 (2012), 387–399  mathnet  crossref  zmath  adsnasa  isi  elib  elib
    95. M. N. Mikhailovskaya, B. V. Rogov, “Monotone compact running schemes for systems of hyperbolic equations”, Comput. Math. Math. Phys., 52:4 (2012), 672–695  mathnet  crossref  mathscinet  isi  elib  elib
    96. V. A. Isakov, A. P. Favorskii, “Kvaziakusticheskaya skhema dlya uravnenii Eilera gazovoi dinamiki v sluchae dvukh prostranstvennykh izmerenii”, Matem. modelirovanie, 24:12 (2012), 55–59  mathnet  mathscinet; V. A. Isakov, A. P. Favorskiy, “Quasi-acoustic scheme for the Euler equations of gas dynamics in two dimensional case”, Math. Models Comput. Simul., 5:4 (2013), 356–359  crossref
    97. A. M. Galanina, A. P. Favorskii, “Chislennoe reshenie uravnenii gazovoi dinamiki v lagranzhevykh peremennykh”, Matem. modelirovanie, 24:12 (2012), 119–123  mathnet  mathscinet
    98. V. E. Troschiev, N. S. Bochkarev, “Chislennyi metod lagranzhevykh chastits na osnove dvumernykh volnovykh uravnenii gazovoi dinamiki”, Matem. modelirovanie, 24:11 (2012), 53–64  mathnet  mathscinet; V. E. Troshchiev, N. S. Bochkarev, “The numerical method of Lagrange particles on the basis of two dimentional gas dynamics wave equations”, Math. Models Comput. Simul., 5:3 (2013), 280–288  crossref
    99. O. A. Kovyrkina, V. V. Ostapenko, “O monotonnosti dvukhsloinoi po vremeni skhemy kabare”, Matem. modelirovanie, 24:9 (2012), 97–112  mathnet  mathscinet  elib; O. A. Kovyrkina, V. V. Ostapenko, “On monotony of two layer in time cabaret scheme”, Math. Models Comput. Simul., 5:2 (2013), 180–189  crossref
    100. Bashkin V.A., Egorov I.V., Ezhov I.V., Utyuzhnikov S.V., “Poperechnoe obtekanie krugovogo tsilindra transzvukovym ($M_\infty=0.8$) potokom pri bolshikh chislakh Reinoldsa”, Uchenye zapiski tsagi, 43:5 (2012), 27–45  elib
    101. Kazhan E.V., “Povyshenie ustoichivosti yavnoi skhemy godunova - kolgana - rodionova lokalnym vvedeniem neyavnogo sglazhivatelya”, Uchenye zapiski tsagi, 43:6 (2012), 66–84  elib
    102. Moretskii V.Yu., Varybok D.I., Savinov S.A., “Raspad proizvolnogo razryva na granitse smeny struktury techeniya uglevodorodnoi gazozhidkostnoi smesi v truboprovode”, Nauka i tekhnologii truboprovodnogo transporta nefti i nefteproduktov, 2012, no. 2, 48–55  elib
    103. Ostapenko V.V., “O monotonnosti mnogomernykh raznostnykh skhem”, Doklady akademii nauk, 447:2 (2012), 146–146  elib
    104. Rogov B.V., “Monotonnaya bikompaktnaya skhema dlya kvazilineinykh uravnenii giperbolicheskogo tipa”, Doklady akademii nauk, 446:5 (2012), 504–504  elib
    105. Khakimzyanov G.S., Shokina N.Yu., “Nekotorye zamechaniya o skhemakh, sokhranyayuschikh monotonnost chislennogo resheniya”, Vychislitelnye tekhnologii, 17:2 (2012), 78–98  elib
    106. Zholobov V.V., Tarnovskii E.I., Shiryaev A.M., “O primenenii uravnenii A.N. Kolmogorova v parametricheskoi sisteme obnaruzheniya utechek na magistralnom nefteprovode”, Nauka i tekhnologii truboprovodnogo transporta nefti i nefteproduktov, 2012, no. 3, 56–63  elib
    107. S. V. Fortova, L. M. Kraginskii, A. V. Chikitkin, E. I. Oparina, “The software package for the solution of the equations of hyperbolic type”, Math. Models Comput. Simul., 5:6 (2013), 607–616  mathnet  crossref  mathscinet  elib
    108. S. I. Kabanikhin, O. I. Krivorotko, “Chislennoe reshenie uravneniya eikonala”, Sib. elektron. matem. izv., 10 (2013), 28–34  mathnet
    109. M. E. Ladonkina, O. A. Neklyudova, V. F. Tishkin, “Limiter povyshennogo poryadka tochnosti dlya razryvnogo metoda Galerkina na treugolnykh setkakh”, Preprinty IPM im. M. V. Keldysha, 2013, 053, 26 pp.  mathnet
    110. A. V. Rodionov, “Sopostavlenie skhemy KABARE so skhemami tipa MUSCL”, Matem. modelirovanie, 25:9 (2013), 109–136  mathnet  mathscinet; A. V. Rodionov, “A comparison between the CABARET scheme and the MUSCL-type schemes”, Math. Models Comput. Simul., 6:2 (2014), 203–225  crossref
    111. A. M. Galanina, V. A. Isakov, N. N. Tyurina, A. P. Favorskii, “Konstruktivnyi podkhod k chislennomu resheniyu kvazilineinykh uravnenii perenosa”, Matem. modelirovanie, 25:8 (2013), 80–88  mathnet  mathscinet; N. N. Galanina, V. A. Isakov, N. N. Tyurina, A. P. Favorskiy, “The constructive approach to the numerical solution of quasi-linear advection equations”, Math. Models Comput. Simul., 6:2 (2014), 155–161  crossref
    112. A. I. Tolstykh, “Hybrid schemes with high-order multioperators for computing discontinuous solutions”, Comput. Math. Math. Phys., 53:9 (2013), 1303–1322  mathnet  crossref  crossref  isi  elib  elib
    113. A. N. Kudryavtsev, S. I. Trashkeev, “Formalism of two potentials for the numerical solution of Maxwell's equations”, Comput. Math. Math. Phys., 53:11 (2013), 1653–1663  mathnet  crossref  crossref  isi  elib  elib
    114. V. I. Gryn', A. A. Frolova, A. A. Charakhch'yan, “Nonconservative scheme with the isentropic condition in rarefaction waves as applied to the compressible Euler equations”, Comput. Math. Math. Phys., 53:11 (2013), 1720–1728  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    115. V. A. Levin, N. E. Afonina, V. G. Gromov, I. S. Manuilovich, V. V. Markov, G. D. Smekhov, A. N. Khmelevskii, “Experimental and numerical simulation of the flow in a driving module with an annular and linear double-slot nozzle”, High Temperature, 51:5 (2013), 681–689  mathnet  crossref  crossref  isi  elib  elib
    116. A. L. Zheleznyakova, S. T. Surzhikov, “Calculation of a Hypersonic Flow over Bodies of Complex Configuration on Unstructured Tetrahedral Meshes Using the AUSM Scheme”, High Temperature, 52:2 (2014), 271–281  mathnet  crossref  crossref  isi  elib  elib
    117. P. V. Chuvakhov, “A Riemann solver for RANS”, Comput. Math. Math. Phys., 54:1 (2014), 135–147  mathnet  crossref  crossref  isi  elib  elib
    118. V. Yu. Glotov, V. M. Goloviznin, S. A. Karabasov, A. P. Markeshteijn, “New two-level leapfrog scheme for modeling the stochastic Landau–Lifshitz equations”, Comput. Math. Math. Phys., 54:2 (2014), 315–334  mathnet  crossref  crossref  isi  elib  elib
    119. M. E. Ladonkina, O. A. Neklyudova, V. F. Tishkin, D. I. Utiralov, “Realizatsiya granichnykh uslovii prilipaniya dlya razryvnogo metoda Galerkina”, Preprinty IPM im. M. V. Keldysha, 2014, 032, 16 pp.  mathnet
    120. M. E. Ladonkina, V. F. Tishkin, “O svyazi razryvnogo metoda Galerkina i metodov tipa Godunova vysokogo poryadka tochnosti”, Preprinty IPM im. M. V. Keldysha, 2014, 049, 10 pp.  mathnet
    121. S. K. Godunov, I. M. Kulikov, “Computation of discontinuous solutions of fluid dynamics equations with entropy nondecrease guarantee”, Comput. Math. Math. Phys., 54:6 (2014), 1012–1024  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    122. I. S. Menshov, P. V. Pavlukhin, “Chislennoe reshenie zadach gazovoi dinamiki na dekartovykh setkakh s primeneniem gibridnykh vychislitelnykh sistem”, Preprinty IPM im. M. V. Keldysha, 2014, 092, 24 pp.  mathnet
    123. V. N. Belykh, K. V. Brushlinskii, V. L. Vaskevich, S. P. Kiselev, A. N. Kraiko, A. G. Kulikovskii, V. I. Mali, V. V. Pukhnachov, E. I. Romensky, V. S. Ryaben'kii, “Sergei Konstantinovich Godunov has turned 85 years old”, Russian Math. Surveys, 70:3 (2015), 561–590  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    124. V. E. Ragozina, Yu. E. Ivanova, “Luchevye approksimatsii dlya udarnykh voln uprugoi deformatsii osesimmetrichnogo tipa v tsilindricheskom sloe”, Sib. zhurn. industr. matem., 18:2 (2015), 111–123  mathnet  crossref  mathscinet  elib
    125. M. D. Bragin, B. V. Rogov, “Hybrid running schemes with upwind and bicompact symmetric differencing for hyperbolic equations”, Comput. Math. Math. Phys., 55:7 (2015), 1177–1187  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    126. I. V. Yegorov, N. V. Pal'chekovskaya, V. V. Shvedchenko, “The effect of spatial perturbations of a supersonic flow on heat flow to the surface of blunt bodies”, High Temperature, 53:5 (2015), 677–689  mathnet  crossref  crossref  isi  elib  elib
    127. E. N. Aristova, B. V. Rogov, A. V. Chikitkin, “Monotonizatsiya vysokotochnoi bikompaktnoi skhemy dlya statsionarnogo mnogomernogo uravneniya perenosa”, Matem. modelirovanie, 27:8 (2015), 32–46  mathnet  mathscinet  elib; E. N. Aristova, B. V. Rogov, A. V. Chikitkin, “Monotonization of high accuracy bicompact scheme for stationary multidimensional transport equation”, Math. Models Comput. Simul., 8:2 (2016), 108–117  crossref
    128. M. V. Abakumov, Yu. P. Popov, P. V. Rodionov, “The Riemann problem in the quasi-one-dimensional approximation”, Comput. Math. Math. Phys., 55:8 (2015), 1356–1369  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    129. A. Yu. Lugovsky, Yu. P. Popov, “Roe–Einfeldt–Osher scheme as applied to the mathematical simulation of accretion disks on parallel computers”, Comput. Math. Math. Phys., 55:8 (2015), 1407–1418  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    130. N. Ya. Moiseev, E. A. Shestakov, “Solution of the Riemann problem in twoand three-temperature gas dynamics”, Comput. Math. Math. Phys., 55:9 (2015), 1547–1553  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    131. A. G. Aksenov, “Computation of shock waves in plasma”, Comput. Math. Math. Phys., 55:10 (2015), 1752–1769  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    132. I. Yu. Tagirova, A. V. Rodionov, “Primenenie iskusstvennoi vyazkosti dlya borby s «karbunkul»-neustoichivostyu v skhemakh tipa Godunova”, Matem. modelirovanie, 27:10 (2015), 47–64  mathnet  elib
    133. V. A. Guschin, “Ob odnom semeistve kvazimonotonnykh raznostnykh skhem vtorogo poryadka approksimatsii”, Matem. modelirovanie, 28:2 (2016), 6–18  mathnet  elib
    134. V. F. Tishkin, V. T. Zhukov, E. E. Myshetskaya, “K obosnovaniyu skhemy Godunova v mnogomernom sluchae”, Matem. modelirovanie, 28:2 (2016), 86–96  mathnet  elib
    135. M. D. Bragin, B. V. Rogov, “Novaya gibridnaya skhema dlya rascheta razryvnykh reshenii giperbolicheskikh uravnenii”, Preprinty IPM im. M. V. Keldysha, 2016, 022, 22 pp.  mathnet
    136. S. I. Kabanikhin, O. I. Krivorotko, “A numerical algorithm for computing tsunami wave amplitude”, Num. Anal. Appl., 9:2 (2016), 118–128  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    137. O. A. Kovyrkina, V. V. Ostapenko, “Monotonicity of the CABARET scheme approximating a hyperbolic equation with a sign-changing characteristic field”, Comput. Math. Math. Phys., 56:5 (2016), 783–801  mathnet  crossref  crossref  isi  elib
    138. E. N. Aristova, B. V. Rogov, A. V. Chikitkin, “Optimal monotonization of a high-order accurate bicompact scheme for the nonstationary multidimensional transport equation”, Comput. Math. Math. Phys., 56:6 (2016), 962–976  mathnet  crossref  crossref  isi  elib
    139. M. S. Belotserkovskaya, O. M. Belotserkovskii, V. V. Denisenko, I. V. Eriklintsev, S. A. Kozlov, E. I. Oparina, O. V. Troshkin, “On the short-wave nature of Richtmyer–Meshkov instability”, Comput. Math. Math. Phys., 56:6 (2016), 1075–1085  mathnet  crossref  crossref  isi  elib
    140. I. V. Egorov, A. V. Novikov, “Direct numerical simulation of laminar-turbulent flow over a flat plate at hypersonic flow speeds”, Comput. Math. Math. Phys., 56:6 (2016), 1048–1064  mathnet  crossref  crossref  isi  elib
    141. M. D. Bragin, B. V. Rogov, “Minimal dissipation hybrid bicompact schemes for hyperbolic equations”, Comput. Math. Math. Phys., 56:6 (2016), 947–961  mathnet  crossref  crossref  isi  elib
    142. A. E. Alekseenko, A. S. Kholodov, Ya. A. Kholodov, “Boundary control problems for quasilinear systems of hyperbolic equations”, Comput. Math. Math. Phys., 56:6 (2016), 916–931  mathnet  crossref  crossref  isi  elib
    143. A. V. Babakov, “Program package FLUX for the simulation of fundamental and applied problems of fluid dynamics”, Comput. Math. Math. Phys., 56:6 (2016), 1151–1161  mathnet  crossref  crossref  isi  elib
    144. M. V. Abakumov, A. M. Lipanov, Yu. P. Popov, “Matematicheskoe modelirovanie gazodinamicheskikh techenii, soprovozhdayuschikh vetry bora”, Matem. modelirovanie, 28:6 (2016), 3–17  mathnet  elib
    145. I. S. Menshov, P. V. Pavlukhin, “Efficient parallel shock-capturing method for aerodynamics simulations on body-unfitted Cartesian grids”, Comput. Math. Math. Phys., 56:9 (2016), 1651–1664  mathnet  crossref  crossref  isi  elib
    146. V. A. Levin, N. E. Afonina, V. G. Gromov, I. S. Manuilovich, V. V. Markov, G. D. Smekhov, A. N. Khmelevskiǐ, “Unsteady laminar gas flows in an annular nozzle”, High Temperature, 54:6 (2016), 837–841  mathnet  crossref  crossref  isi  elib
    147. I. S. Menshov, V. S. Nikitin, V. V. Sheverdin, “Parallelnaya trekhmernaya LAD model na dekartovykh setkakh vlozhennoi struktury”, Preprinty IPM im. M. V. Keldysha, 2016, 118, 32 pp.  mathnet  crossref
    148. I. S. Menshov, “Tochnye i priblizhennye resheniya zadachi Rimana dlya uravnenii szhimaemykh dvukhfaznykh techenii”, Matem. modelirovanie, 28:12 (2016), 33–55  mathnet  elib
    149. N. Ya. Moiseev, “Modified method of splitting with respect to physical processes for solving radiation gas dynamics equations”, Comput. Math. Math. Phys., 57:2 (2017), 306–317  mathnet  crossref  crossref  isi  elib
    150. S. V. Mikhailov, “Printsipy postroeniya programmnogo koda dlya resheniya zadach aerodinamiki i aeroakustiki”, Matem. modelirovanie, 29:9 (2017), 49–61  mathnet
    151. I. V. Popov, “Postroenie raznostnoi skhemy povyshennogo poryadka approksimatsii dlya nelineinogo uravneniya perenosa s ispolzovaniem adaptivnoi iskusstvennoi vyazkosti”, Preprinty IPM im. M. V. Keldysha, 2017, 068, 21 pp.  mathnet  crossref
    152. A. N. Kremlev, “Prelomlenie ploskoi volny na vypuklom i vognutom uglakh v priblizhenii geometricheskoi akustiki”, Sib. zhurn. vychisl. matem., 20:3 (2017), 251–271  mathnet  crossref
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