Alexander Zlotnik

Publication Activity (10 Years)

Years Active: 2009-2024
Publications (10 Years): 19

Top Topics

Numerical Scheme

Finite Difference

Top Venues

Appl. Math. Lett.

Math. Model. Anal.

Publications

Alexander Zlotnik, Timofey Lomonosov
On properties of a semi-explicit in time fourth-order vector compact scheme for the multidimensional acoustic wave equation. CoRR (2024)
Alexander Zlotnik
Remarks on the model of quasi-homogeneous binary mixtures with the NASG equations of state. Appl. Math. Lett. 146 (2023)
Alexander Zlotnik, Raimondas Ciegis
On Construction and Properties of Compact 4th Order Finite-Difference Schemes for the Variable Coefficient Wave Equation. J. Sci. Comput. 95 (1) (2023)
Alexander Zlotnik, Timofey Lomonosov
On Regularized Systems of Equations for Gas Mixture Dynamics with New Regularizing Velocities and Diffusion Fluxes. Entropy 25 (1) (2023)
Alexander Zlotnik, Anna Fedchenko, Timofey Lomonosov
Entropy Correct Spatial Discretizations for 1D Regularized Systems of Equations for Gas Mixture Dynamics. Symmetry 14 (10) (2022)
Alexander Zlotnik, Raimondas Ciegis
On higher-order compact ADI schemes for the variable coefficient wave equation. Appl. Math. Comput. 412 (2022)
Alexander Zlotnik
On Conditions for L2-Dissipativity of an Explicit Finite-Difference Scheme for Linearized 2D and 3D Barotropic Gas Dynamics System of Equations with Regularizations. Symmetry 13 (11) (2021)
Vladislav A. Balashov, Alexander Zlotnik
Correction to the Paper: An Energy Dissipative Spatial Discretization for the Regularized Compressible Navier-stokes-cahn-hilliard System of Equations (in Math. Model. Anal., 25(1): 110-129, https: //doi.org/10.3846/MMA.2020.10577). Math. Model. Anal. 26 (2) (2021)
Alexander Zlotnik, Olga Kireeva
On Compact 4th order finite-difference Schemes for the wave equation. Math. Model. Anal. 26 (3) (2021)
Vladislav A. Balashov, Alexander Zlotnik
On a New Spatial Discretization for a Regularized 3D Compressible Isothermal Navier-Stokes-Cahn-Hilliard System of Equations with Boundary Conditions. J. Sci. Comput. 86 (3) (2021)
Alexander Zlotnik, Raimondas Ciegis
On Properties of Compact 4th order Finite-Difference Schemes for the Variable Coefficient Wave Equation. CoRR (2021)
Alexander Zlotnik, Raimondas Ciegis
A compact higher-order finite-difference scheme for the wave equation can be strongly non-dissipative on non-uniform meshes. Appl. Math. Lett. 115 (2021)
Alexander Zlotnik, Raimondas Ciegis
A compact higher-order finite-difference scheme for the wave equation can be strongly non-dissipative on non-uniform meshes. CoRR (2020)
Alexander Zlotnik, Timofey Lomonosov
L2-dissipativity of the linearized explicit finite-difference scheme with a kinetic regularization for 2D and 3D gas dynamics system of equations. Appl. Math. Lett. 103 (2020)
Vladislav A. Balashov, Alexander Zlotnik
An Energy dissipative Spatial discretization for the Regularized compressible Navier-Stokes-Cahn-Hilliard System of equations. Math. Model. Anal. 25 (1) (2020)
Alexander Zlotnik, Timofey Lomonosov
Verification of an Entropy dissipative Qgd-Scheme. Math. Model. Anal. 24 (2) (2019)
Alexander Zlotnik
On L2-dissipativity of linearized explicit finite-difference schemes with a regularization on a non-uniform spatial mesh for the 1D gas dynamics equations. Appl. Math. Lett. 92 (2019)
Alexander Zlotnik, Raimondas Ciegis
A "converse" stability condition is necessary for a compact higher order scheme on non-uniform meshes for the time-dependent Schrödinger equation. Appl. Math. Lett. 80 (2018)
Alexander Zlotnik, Olga Kireeva
Practical error Analysis for the three-Level Bilinear FEM and finite-difference Scheme for the 1D wave equation with non-smooth Data. Math. Model. Anal. 23 (3) (2018)
Alexander Zlotnik
Error Estimates of the Crank-Nicolson-Polylinear FEM with the Discrete TBC for the Generalized Schrödinger Equation in an Unbounded Parallelepiped. FDM (2014)
Alexander Zlotnik, Natalya Koltsova
A Family of Finite-Difference Schemes with Discrete Transparent Boundary Conditions for a Parabolic Equation on the Half-Axis. Comput. Methods Appl. Math. 13 (2) (2013)
Alexander Zlotnik, Olga Kireeva
Error Bounds for Finite Element Methods with Generalized Cubic Splines for a 4-th Order Ordinary Differential Equation with Nonsmooth Data. Comput. Methods Appl. Math. 9 (2) (2009)