Alexander Zlotnik

26 papers Journal 25Unranked 1
YearRankTypeTitle / Venue / Authors
2026 J jnl
An entropy-correct regularization of a system of equations for dynamics of heterogeneous multicomponent mixtures.
Appl. Math. Lett.
Alexander Zlotnik
2025 J jnl
Upper and Lower Error Bounds for a Compact Fourth-Order Finite-Difference Scheme for the Wave Equation with Nonsmooth Data.
CoRR
Alexander Zlotnik
2025 J jnl
Upper and lower error bounds for a compact fourth-order finite-difference scheme for the wave equation with nonsmooth data.
J. Complex.
Alexander Zlotnik
2024 J jnl
On properties of a semi-explicit in time fourth-order vector compact scheme for the multidimensional acoustic wave equation.
CoRR
Alexander Zlotnik, Timofey Lomonosov
2023 J jnl
On Construction and Properties of Compact 4th Order Finite-Difference Schemes for the Variable Coefficient Wave Equation.
J. Sci. Comput.
Alexander Zlotnik, Raimondas Ciegis
2023 J jnl
On Regularized Systems of Equations for Gas Mixture Dynamics with New Regularizing Velocities and Diffusion Fluxes.
Entropy
Alexander Zlotnik, Timofey Lomonosov
2023 J jnl
Remarks on the model of quasi-homogeneous binary mixtures with the NASG equations of state.
Appl. Math. Lett.
Alexander Zlotnik
2022 J jnl
Entropy Correct Spatial Discretizations for 1D Regularized Systems of Equations for Gas Mixture Dynamics.
Symmetry
Alexander Zlotnik, Anna Fedchenko, Timofey Lomonosov
2022 J jnl
On higher-order compact ADI schemes for the variable coefficient wave equation.
Appl. Math. Comput.
Alexander Zlotnik, Raimondas Ciegis
2021 J jnl
A compact higher-order finite-difference scheme for the wave equation can be strongly non-dissipative on non-uniform meshes.
Appl. Math. Lett.
Alexander Zlotnik, Raimondas Ciegis
2021 J jnl
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.
Vladislav A. Balashov, Alexander Zlotnik
2021 J jnl
On Compact 4th order finite-difference Schemes for the wave equation.
Math. Model. Anal.
Alexander Zlotnik, Olga Kireeva
2021 J jnl
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
Alexander Zlotnik
2021 J jnl
On Properties of Compact 4th order Finite-Difference Schemes for the Variable Coefficient Wave Equation.
CoRR
Alexander Zlotnik, Raimondas Ciegis
2021 J jnl
On a New Spatial Discretization for a Regularized 3D Compressible Isothermal Navier-Stokes-Cahn-Hilliard System of Equations with Boundary Conditions.
J. Sci. Comput.
Vladislav A. Balashov, Alexander Zlotnik
2021 J jnl
On properties of an explicit in time fourth-order vector compact scheme for the multidimensional wave equation.
CoRR
Alexander Zlotnik
2020 J jnl
A compact higher-order finite-difference scheme for the wave equation can be strongly non-dissipative on non-uniform meshes.
CoRR
Alexander Zlotnik, Raimondas Ciegis
2020 J jnl
An Energy dissipative Spatial discretization for the Regularized compressible Navier-Stokes-Cahn-Hilliard System of equations.
Math. Model. Anal.
Vladislav A. Balashov, Alexander Zlotnik
2020 J jnl
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.
Alexander Zlotnik, Timofey Lomonosov
2019 J jnl
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.
Alexander Zlotnik
2019 J jnl
Verification of an Entropy dissipative Qgd-Scheme.
Math. Model. Anal.
Alexander Zlotnik, Timofey Lomonosov
2018 J jnl
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.
Alexander Zlotnik, Raimondas Ciegis
2018 J jnl
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.
Alexander Zlotnik, Olga Kireeva
2014 — conf
Error Estimates of the Crank-Nicolson-Polylinear FEM with the Discrete TBC for the Generalized Schrödinger Equation in an Unbounded Parallelepiped.
FDM
Alexander Zlotnik
2013 J jnl
A Family of Finite-Difference Schemes with Discrete Transparent Boundary Conditions for a Parabolic Equation on the Half-Axis.
Comput. Methods Appl. Math.
Alexander Zlotnik, Natalya Koltsova
2009 J jnl
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.
Alexander Zlotnik, Olga Kireeva