Parabolicity of the quasi-gasdynamic system of equations, its hyperbolic second-order modification, and the stability of small perturbations for them AA Zlotnik, BN Chetverushkin Computational Mathematics and Mathematical Physics 48 (3), 420-446, 2008 | 85* | 2008 |

Uniform estimates and stabilization of symmetric solutions of a system of quasilinear equations AA Zlotnik Differential Equations 36 (5), 701-716, 2000 | 77 | 2000 |

Global generalized solutions of the equations of the one-dimensional motion of a viscous heat-conducting gas AA Amosov, AA Zlotnik Soviet Math. Dokl 38 (1), 5, 1989 | 66* | 1989 |

Solvability “in the large” of a system of equations of the one-dimensional motion of an inhomogeneous viscous heat-conducting gas AA Amosov, AA Zlotnik Mathematical Notes 52 (2), 753-763, 1992 | 54 | 1992 |

Energy equalities and estimates for barotropic quasi-gasdynamic and quasi-hydrodynamic systems of equations AA Zlotnik Computational Mathematics and Mathematical Physics 50 (2), 310-321, 2010 | 53* | 2010 |

Lyapunov functional method for 1D radiative and reactive viscous gas dynamics B Ducomet, A Zlotnik Archive for rational mechanics and analysis 177 (2), 185-229, 2005 | 53 | 2005 |

Convergence rate estimates of finite-element methods for second-order hyperbolic equations AA Zlotnik Numerical Methods and Applications, CRC Press, Boca Raton, 155-220, 1994 | 47* | 1994 |

On stability of generalized solutions to the equations of one-dimensional motion of a viscous heat conducting gas AA Zlotnik, AA Amosov Siberian Mathematical Journal 38 (4), 663-684, 1997 | 46* | 1997 |

On the large-time behavior of 1D radiative and reactive viscous flows for higher-order kinetics B Ducomet, A Zlotnik Nonlinear Analysis: Theory, Methods & Applications 63 (8), 1011-1033, 2005 | 45 | 2005 |

On equations for one-dimensional motion of a viscous barotropic gas in the presence of a body force AA Zlotnik Siberian Mathematical Journal 33 (5), 798-815, 1992 | 43* | 1992 |

Parabolicity of a quasihydrodynamic system of equations and the stability of its small perturbations AA Zlotnik Mathematical Notes 83 (5), 610-623, 2008 | 41* | 2008 |

Convergence rate estimate in L 2 of projection-difference schemes for parabolic equations AA Zlotnik USSR Computational Mathematics and Mathematical Physics 18 (6), 92-104, 1978 | 41* | 1978 |

Quasi-averaged equations of the one-dimensional motion of a viscous barotropic medium with rapidly oscillating data AA Amosov, AA Zlotnik Computational mathematics and mathematical physics 36 (2), 203-220, 1996 | 39* | 1996 |

Difference schemes of second-order of accuracy for the equations of the one-dimensional motion of a viscous gas AA Amosov, AA Zlotnik USSR Computational Mathematics and Mathematical Physics 27 (4), 46-57, 1987 | 39* | 1987 |

Properties and asymptotic behavior of solutions of some problems of one-dimensional motion of a viscous barotropic gas AA Zlotnik, NZ Bao Mathematical Notes 55 (5), 471-482, 1994 | 38* | 1994 |

On stability of the Crank-Nicolson scheme with approximate transparent boundary conditions for the Schrödinger equation. I B Ducomet, A Zlotnik Communications in Mathematical Sciences 4 (4), 741-766, 2006 | 37 | 2006 |

On a family of finite–difference schemes with discrete transparent boundary conditions for a generalized Schrödinger equation B Ducomet, A Zlotnik, I Zlotnik Kinetic and Related Models 2 (1), 151-179, 2009 | 35* | 2009 |

Semidiscrete method for solving equations of a one-dimensional motion of viscous heat-conductive gas with non-smooth data AA Amosov, AA Zlotnik Russian Mathematics (Iz. VUZ) 41 (4), 3-19, 1997 | 35* | 1997 |

Stabilization and stability for the spherically symmetric Navier–Stokes–Poisson system B Ducomet, A Zlotnik Applied mathematics letters 18 (10), 1190-1198, 2005 | 34 | 2005 |

Global generalized solutions of the equations of the one-dimensional motion of a viscous barotropic gas AA Zlotnik, AA Amosov Sov. Math. Dokl 37, 554-558, 1988 | 34* | 1988 |