All Stories

  1. On a doubly reduced model for dynamics of heterogeneous mixtures of stiffened gases, its regularizations and their implementations

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, November 2023, American Institute of Physics

    Professor Alexander Zlotnik

  2. On aggregated regularized equations for homogeneous binary gas mixture flows with viscous compressible components

    Article • January 2020, American Institute of Physics

    Professor Alexander Zlotnik

  3. On a hyperbolic perturbation of a parabolic initial–boundary value problem

    Article • Applied Mathematics Letters, September 2018, Elsevier

    Professor Alexander Zlotnik

  4. Analysis of a regularized model for the isothermal two-component mixture with the diffuse interface

    Article • Russian Journal of Numerical Analysis and Mathematical Modelling, December 2017, De Gruyter

    Professor Alexander Zlotnik

  5. On some properties of multidimensional hyperbolic quasi-gasdynamic systems of equations

    Article • Russian Journal of Mathematical Physics, July 2017, Pleiades Publishing Ltd

    Professor Alexander Zlotnik

  6. Entropy balance for the one-dimensional hyperbolic quasi-gasdynamic system of equations

    Article • Doklady Mathematics, May 2017, Pleiades Publishing Ltd

    Professor Alexander Zlotnik

  7. Entropy-conservative spatial discretization of the multidimensional quasi-gasdynamic system of equations

    Article • Computational Mathematics and Mathematical Physics, April 2017, Pleiades Publishing Ltd

    Professor Alexander Zlotnik

  8. A fast direct algorithm for implementing a high-order finite element method on rectangles as applied to boundary value problems for the Poisson equation

    Article • Doklady Mathematics, March 2017, Pleiades Publishing Ltd

    Professor Alexander Zlotnik

  9. On new spatial discretization of the multidimensional quasi-gasdynamic system of equations with nondecreasing total entropy

    Article • Doklady Mathematics, July 2016, Pleiades Publishing Ltd

    Professor Alexander Zlotnik

  10. On conservative spatial discretizations of the barotropic quasi-gasdynamic system of equations with a potential body force

    Article • Computational Mathematics and Mathematical Physics, February 2016, Pleiades Publishing Ltd

    Professor Alexander Zlotnik

  11. Remarks on discrete and semi-discrete transparent boundary conditions for solving the time-dependent Schrödinger equation on the half-axis

    Article • Russian Journal of Numerical Analysis and Mathematical Modelling, January 2016, De Gruyter

    Professor Alexander Zlotnik

  12. Well-Posedness of the IBVPs for the 1D Viscous Gas Equations

    Article • January 2016, Springer Science + Business Media

    Professor Alexander Zlotnik

  13. On a Conservative Finite-Difference Method for 1D Shallow Water Flows Based on Regularized Equations

    Article • January 2016, Springer Science + Business Media

    Professor Alexander Zlotnik

  14. On a Numerov–Crank–Nicolson–Strang scheme with discrete transparent boundary conditions for the Schrödinger equation on a semi-infinite strip

    Article • Applied Numerical Mathematics, July 2015, Elsevier

    Professor Alexander Zlotnik

  15. The Numerov-Crank-Nicolson scheme on a non-uniform mesh for the time-dependent Schrödinger equation on the half-axis

    Article • Kinetic and Related Models, June 2015, American Institute of Mathematical Sciences (AIMS)

    Professor Alexander Zlotnik

  16. On a splitting higher-order scheme with discrete transparent boundary conditions for the Schrödinger equation in a semi-infinite parallelepiped

    Article • Applied Mathematics and Computation, March 2015, Elsevier

    Professor Alexander Zlotnik

  17. On spatial discretization of the one-dimensional quasi-gasdynamic system of equations with general equations of state and entropy balance

    Article • Computational Mathematics and Mathematical Physics, February 2015, Pleiades Publishing Ltd

    Professor Alexander Zlotnik

  18. The High Order Method with Discrete TBCs for Solving the Cauchy Problem for the 1D Schrödinger Equation

    Article • Computational Methods in Applied Mathematics, January 2015, De Gruyter

    Professor Alexander Zlotnik

  19. Error Estimates of the Crank-Nicolson-Polylinear FEM with the Discrete TBC for the Generalized Schrödinger Equation in an Unbounded Parallelepiped

    Article • January 2015, Springer Science + Business Media

    Professor Alexander Zlotnik

  20. On quasi-gasdynamic and quasi-hydrodynamic equations for binary gas mixtures

    Article • Doklady Mathematics, November 2014, Pleiades Publishing Ltd

    Professor Alexander Zlotnik

  21. Splitting in Potential Finite-Difference Schemes with Discrete Transparent Boundary Conditions for the Time-Dependent Schrödinger Equation

    Article • October 2014, Springer Science + Business Media

    Professor Alexander Zlotnik

  22. The splitting in potential Crank–Nicolson scheme with discrete transparent boundary conditions for the Schrödinger equation on a semi-infinite strip

    Article • ESAIM Mathematical Modelling and Numerical Analysis, September 2014, EDP Sciences

    Professor Alexander Zlotnik

  23. On a regularization of the magnetic gas dynamics system of equations

    Article • Kinetic and Related Models, May 2013, American Institute of Mathematical Sciences (AIMS)

    Professor Alexander Zlotnik

  24. A Family of Finite-Difference Schemes with Discrete Transparent Boundary Conditions for a Parabolic Equation on the Half-Axis

    Article • Computational Methods in Applied Mathematics, January 2013, De Gruyter

    Professor Alexander Zlotnik

  25. Finite element method with discrete transparent boundary conditions for the one-dimensional nonstationary Schrödinger equation

    Article • Doklady Mathematics, November 2012, Pleiades Publishing Ltd

    Professor Alexander Zlotnik

  26. Finite element method with discrete transparent boundary conditions for the time-dependent 1D Schrödinger equation

    Article • Kinetic and Related Models, August 2012, American Institute of Mathematical Sciences (AIMS)

    Professor Alexander Zlotnik

  27. Spatial discretization of one-dimensional quasi-gasdynamic systems of equations and the entropy and energy balance equations

    Article • Doklady Mathematics, July 2012, Pleiades Publishing Ltd

    Professor Alexander Zlotnik

  28. Spatial discretization of the one-dimensional quasi-gasdynamic system of equations and the entropy balance equation

    Article • Computational Mathematics and Mathematical Physics, July 2012, Pleiades Publishing Ltd

    Professor Alexander Zlotnik

  29. On Quasi-Gasdynamic System of Equations with General Equations of State and its Application

    Article • Mathematical Modelling and Analysis, December 2011, Vilnius Gediminas Technical University

    Professor Alexander Zlotnik

  30. Family of finite-difference schemes with transparent boundary conditions for the nonstationary Schrödinger equation in a semi-infinite strip

    Article • Doklady Mathematics, February 2011, Pleiades Publishing Ltd

    Professor Alexander Zlotnik

  31. Stability of small perturbations for a modified two-dimensional quasi-gasdynamic model of traffic flows

    Article • Mathematical Models and Computer Simulations, November 2010, Pleiades Publishing Ltd

    Professor Alexander Zlotnik

  32. Linearized stability of equilibrium solutions to the quasi-gasdynamic system of equations

    Article • Doklady Mathematics, October 2010, Pleiades Publishing Ltd

    Professor Alexander Zlotnik

  33. Stability of a Numerov type finite–difference scheme with approximate transparent boundary conditions for the nonstationary Schrödinger equation on the half-axis

    Article • Journal of Mathematical Sciences, July 2010, Springer Science + Business Media

    Professor Alexander Zlotnik

  34. Quasi-gasdynamic system of equations with general equations of state

    Article • Doklady Mathematics, April 2010, Pleiades Publishing Ltd

    Professor Alexander Zlotnik

  35. Energy equalities and estimates for barotropic quasi-gasdynamic and quasi-hydrodynamic systems of equations

    Article • Computational Mathematics and Mathematical Physics, February 2010, Pleiades Publishing Ltd

    Professor Alexander Zlotnik

  36. 10.1007/s11472-008-1036-x

    Article • January 2010, CrossRef Test Account

    Professor Alexander Zlotnik

  37. 10.1007/s11470-008-3008-9

    Article • January 2010, CrossRef Test Account

    Professor Alexander Zlotnik

  38. On one semidiscrete Galerkin method for a generalized time-dependent 2D Schrödinger equation

    Article • Applied Mathematics Letters, February 2009, Elsevier

    Professor Alexander Zlotnik

  39. Some properties of the equations governing a two-dimensional quasi-gasdynamic model of traffic flows

    Article • Computational Mathematics and Mathematical Physics, February 2009, Pleiades Publishing Ltd

    Professor Alexander Zlotnik

  40. On a family of finite-difference schemes with approximate transparent boundary conditions for a generalized 1D Schrödinger equation

    Article • Kinetic and Related Models, January 2009, American Institute of Mathematical Sciences (AIMS)

    Professor Alexander Zlotnik

  41. On one version of a semidiscrete Galerkin method for PDE problems involving a generalized 2D Hamiltonian operator

    Article • Communications in Mathematical Sciences, January 2009, International Press of Boston

    Professor Alexander Zlotnik

  42. Error Bounds for Finite Element Methods with Generalized Cubic Splines for a 4-th Order Ordinary Differential Equation with Nonsmooth Data

    Article • Computational Methods in Applied Mathematics, January 2009, De Gruyter

    Professor Alexander Zlotnik

  43. Parabolicity of a quasihydrodynamic system of equations and the stability of its small perturbations

    Article • Mathematical Notes, June 2008, Pleiades Publishing Ltd

    Professor Alexander Zlotnik

  44. On the stability of the σ-scheme with transparent boundary conditions for parabolic equations

    Article • Computational Mathematics and Mathematical Physics, April 2007, Pleiades Publishing Ltd

    Professor Alexander Zlotnik

  45. Stability of a symmetric finite-difference scheme with approximate transparent boundary conditions for the time-dependent Schrödinger equation

    Article • Doklady Mathematics, April 2007, Pleiades Publishing Ltd

    Professor Alexander Zlotnik

  46. Classification of some modifications of the euler system of equations

    Article • Doklady Mathematics, June 2006, Pleiades Publishing Ltd

    Professor Alexander Zlotnik

  47. POWER-RATE ASYMPTOTIC EXPANSION FOR 1D VISCOUS HEAT-CONDUCTING GAS FLOWS

    Article • Mathematical Models and Methods in Applied Sciences, March 2006, World Scientific Pub Co Pte Lt

    Professor Alexander Zlotnik

  48. Stability criterion for small perturbations for a quasi-gasdynamic system of equations

    Article • Computational Mathematics and Mathematical Physics, February 2006, Pleiades Publishing Ltd

    Professor Alexander Zlotnik

  49. Sharp Error Bounds for a Symmetrized Locally 1d Method for Solving the 2d Heat Equation

    Article • Computational Methods in Applied Mathematics, January 2006, De Gruyter

    Professor Alexander Zlotnik

  50. On symmetric equilibrium of an isothermal gas with a free boundary and a body force

    Article • Abstract and Applied Analysis, January 2006, Hindawi Publishing Corporation

    Professor Alexander Zlotnik

  51. On the rate of the volume growth for symmetric viscous heat-conducting gas flows with a free boundary

    Article • Abstract and Applied Analysis, January 2006, Hindawi Publishing Corporation

    Professor Alexander Zlotnik

  52. Stabilization rate and stability for viscous compressible barotropic symmetric flows with free boundary for a general mass force

    Article • Sbornik Mathematics, December 2005, Turpion-Moscow Limited

    Professor Alexander Zlotnik

  53. On the large-time behavior of 1D radiative and reactive viscous flows for higher-order kinetics

    Article • Nonlinear Analysis, December 2005, Elsevier

    Professor Alexander Zlotnik

  54. Stabilization and stability for the spherically symmetric Navier–Stokes–Poisson system

    Article • Applied Mathematics Letters, October 2005, Elsevier

    Professor Alexander Zlotnik

  55. Lyapunov Functional Method for 1D Radiative and Reactive Viscous Gas Dynamics

    Article • Archive for Rational Mechanics and Analysis, July 2005, Springer Science + Business Media

    Professor Alexander Zlotnik

  56. Viscous compressible barotropic symmetric flows with free boundary under general mass force Part I: Uniform-in-time bounds and stabilization

    Article • Mathematical Methods in the Applied Sciences, January 2005, Wiley

    Professor Alexander Zlotnik

  57. Erratum: Global Behavior of 1d-Viscous Compressible Barotropic Fluid with a Free Boundary and Large Data

    Article • Journal of Mathematical Fluid Mechanics, June 2004, Springer Science + Business Media

    Professor Alexander Zlotnik

  58. Stabilization for 1D radiative and reactive viscous gas flows

    Article • Comptes Rendus Mathématique, January 2004, Elsevier

    Professor Alexander Zlotnik

  59. Stress and heat flux stabilization for viscous compressible medium equations with a nonmonotone state function

    Article • Applied Mathematics Letters, November 2003, Elsevier

    Professor Alexander Zlotnik

  60. Stabilization for equations of one-dimensional viscous compressible heat-conducting media with nonmonotone equation of state

    Article • Journal of Differential Equations, October 2003, Elsevier

    Professor Alexander Zlotnik

  61. Global properties of solutions to 1D-viscous compressible barotropic fluid equations with density dependent viscosity

    Article • Zeitschrift für angewandte Mathematik und Physik, July 2003, Springer Science + Business Media

    Professor Alexander Zlotnik

  62. Global behaviour of 1-D viscous compressible barotropic flows with free boundary and self-gravitation

    Article • Mathematical Methods in the Applied Sciences, January 2003, Wiley

    Professor Alexander Zlotnik

  63. Article • Mathematical Notes, January 2003, Springer Science + Business Media

    Professor Alexander Zlotnik

  64. On a decay rate for 1D-viscous compressible barotropic fluid equations

    Article • Journal of Evolution Equations, March 2002, Springer Science + Business Media

    Professor Alexander Zlotnik

  65. On Superconvergence of a Gradient for Finite Element Methods for an Elliptic Equation with the Nonsmooth Right–hand Side

    Article • Computational Methods in Applied Mathematics, January 2002, De Gruyter

    Professor Alexander Zlotnik

  66. Stabilization for viscous compressible heat-conducting media equations with nonmonotone state functions

    Article • Comptes Rendus Mathématique, January 2002, Elsevier

    Professor Alexander Zlotnik

  67. ON THE STABILIZATION OF A VISCOUS BAROTROPIC SELF-GRAVITATING MEDIUM WITH A NONMONOTONE EQUATION OF STATE

    Article • Mathematical Models and Methods in Applied Sciences, January 2002, World Scientific Pub Co Pte Lt

    Professor Alexander Zlotnik

  68. Remark on the stabilization of a viscous barotropic medium with a nonmonotonic equation of state

    Article • Applied Mathematics Letters, November 2001, Elsevier

    Professor Alexander Zlotnik

  69. On two-scale homogenized equations of one-dimensional nonlinear thermoviscoelasticity with rapidly oscillating nonsmooth data

    Article • Comptes Rendus de l Académie des Sciences - Series IIB - Mechanics, March 2001, Elsevier

    Professor Alexander Zlotnik, Andrey Amosov

  70. Uniform estimates and stabilization of solutions to equations of one-dimensional motion of a multicomponent barotropic mixture

    Article • Mathematical Notes, August 1995, Springer Science + Business Media

    Professor Alexander Zlotnik

  71. On the asymptotic formation of vacuum zones in the one-dimensional motion of a viscous barotropic gas by the action of a large mass force

    Article • Russian Journal of Numerical Analysis and Mathematical Modelling, January 1995, De Gruyter

    Professor Alexander Zlotnik

  72. Uniqueness and stability of generalized solutions for a class of quasilinear systems of composite type equations

    Article • Mathematical Notes, June 1994, Springer Science + Business Media

    Professor Alexander Zlotnik

  73. Properties and asymptotic behavior of solutions of some problems of one-dimensional motion of a viscous barotropic gas

    Article • Mathematical Notes, May 1994, Springer Science + Business Media

    Professor Alexander Zlotnik

  74. Solvability ?in the large? of a system of equations of the one-dimensional motion of an inhomogeneous viscous heat-conducting gas

    Article • Mathematical Notes, August 1992, Springer Science + Business Media

    Professor Alexander Zlotnik

  75. On one family of integral functionals

    Article • Mathematical Notes, July 1992, Springer Science + Business Media

    Professor Alexander Zlotnik

  76. Two-layer projection-difference method with a splitting operator for the wave equation

    Article • Mathematical Notes, April 1992, Springer Science + Business Media

    Professor Alexander Zlotnik

  77. Lower error estimates for three-layer difference methods of solving the wave equation with data from holder spaces

    Article • Mathematical Notes, March 1992, Springer Science + Business Media

    Professor Alexander Zlotnik

  78. On equations for one-dimensional motion of a viscous barotropic gas in the presence of a body force

    Article • Siberian Mathematical Journal, January 1992, Springer Science + Business Media

    Professor Alexander Zlotnik

  79. Estimates and stabilization of finite-difference equations of one-dimensional gravital magnetic gas dynamics

    Article • Russian Journal of Numerical Analysis and Mathematical Modelling, January 1991, De Gruyter

    Professor Alexander Zlotnik

  80. Some finite-element and finite-difference methods for solving mathematical physics problems with non-smooth data in an n-dimensional cube. Part I

    Article • Russian Journal of Numerical Analysis and Mathematical Modelling, January 1991, De Gruyter

    Professor Alexander Zlotnik

  81. A difference scheme on a non-uniform mesh for the equations of one-dimensional magnetic gas dynamics

    Article • USSR Computational Mathematics and Mathematical Physics, January 1989, Elsevier

    Professor Alexander Zlotnik

  82. A family of finite-difference schemes for one-dimensional magnetic gas dynamics equations (viscous barotropic case)

    Article • Russian Journal of Numerical Analysis and Mathematical Modelling, January 1988, De Gruyter

    Professor Alexander Zlotnik

  83. SHARP ERROR ESTIMATES OF SOME TWO-LEVEL METHODS OF SOLVING THE THREE-DIMENSIONAL HEAT EQUATION

    Article • Mathematics of the USSR-Sbornik, February 1987, Institute of Physics Publishing

    Professor Alexander Zlotnik

  84. Difference schemes of second-order of accuracy for the equations of the one-dimensional motion of a viscous gas

    Article • USSR Computational Mathematics and Mathematical Physics, January 1987, Elsevier

    Professor Alexander Zlotnik

  85. A study of a finite-difference method for one-dimensional viscous heat-conducting gas flow equations. Part II: Error estimates and realization

    Article • Russian Journal of Numerical Analysis and Mathematical Modelling, January 1987, De Gruyter

    Professor Alexander Zlotnik

  86. A study of a finite-difference method for the one-dimensional viscous heat conductive gas flow equation. Part I: A priori estimates and stability

    Article • Russian Journal of Numerical Analysis and Mathematical Modelling, January 1987, De Gruyter

    Professor Alexander Zlotnik

  87. On a set of standad programs for solving problems of non-linear optics

    Article • USSR Computational Mathematics and Mathematical Physics, January 1982, Elsevier

    Professor Alexander Zlotnik

  88. The rate of convergence of the projection-difference scheme with a splitting operator for parabolic equations

    Article • USSR Computational Mathematics and Mathematical Physics, January 1980, Elsevier

    Professor Alexander Zlotnik

  89. Convergence rate estimate in L2 of projection-difference schemes for parabolic equations

    Article • USSR Computational Mathematics and Mathematical Physics, January 1978, Elsevier

    Professor Alexander Zlotnik

  90. Description of a set of programs for solving the light-wave propagation equations

    Article • USSR Computational Mathematics and Mathematical Physics, January 1977, Elsevier

    Professor Alexander Zlotnik

  91. On Global in Time Properties of the Symmetric Compressible Barotropic Navier–Stokes–Poisson Flows in a Vacuum

    Article • Springer Science + Business Media

    Professor Alexander Zlotnik