Remark on the stabilization of a viscous barotropic medium with a nonmonotonic equation of state. - Bernard Ducomet; Alexander A. Zlotnik (Appl. Math. Lett., 2001)

Stress and heat flux stabilization for viscous compressible medium equations with a nonmonotone state function. - Alexander A. Zlotnik (Appl. Math. Lett., 2003)

Stabilization and stability for the spherically symmetric Navier-Stokes-Poisson system. - Bernard Ducomet; Alexander A. Zlotnik (Appl. Math. Lett., 2005)

On one semidiscrete Galerkin method for a generalized time-dependent 2D Schrödinger equation. - Alexander A. Zlotnik; Bernard Ducomet; Héloïse Goutte; Jean-Francois Berger (Appl. Math. Lett., 2009)

Error Bounds for Finite Element Methods with Generalized Cubic Splines for a 4-th Order Ordinary Differential Equation with Nonsmooth Data. - Alexander Zlotnik 002; Olga Kireeva (Comput. Methods Appl. Math., 2009)

Splitting in Potential Finite-Difference Schemes with Discrete Transparent Boundary Conditions for the Time-Dependent Schrödinger Equation. - Alexander A. Zlotnik; Bernard Ducomet; Ilya Zlotnik; Alla Romanova (ENUMATH, 2013)

A Family of Finite-Difference Schemes with Discrete Transparent Boundary Conditions for a Parabolic Equation on the Half-Axis. - Alexander Zlotnik 002; Natalya Koltsova (Comput. Methods Appl. Math., 2013)

Error Estimates of the Crank-Nicolson-Polylinear FEM with the Discrete TBC for the Generalized Schrödinger Equation in an Unbounded Parallelepiped. - Alexander Zlotnik 002 (FDM, 2014)

On a splitting higher-order scheme with discrete transparent boundary conditions for the Schrödinger equation in a semi-infinite parallelepiped. - Bernard Ducomet; Alexander A. Zlotnik; Alla Romanova (Appl. Math. Comput., 2015)

The High Order Method with Discrete TBCs for Solving the Cauchy Problem for the 1D Schrödinger Equation. - Alexander A. Zlotnik; Ilya Zlotnik (Comput. Methods Appl. Math., 2015)

On a hyperbolic perturbation of a parabolic initial-boundary value problem. - Boris N. Chetverushkin; Alexander A. Zlotnik (Appl. Math. Lett., 2018)

A "converse" stability condition is necessary for a compact higher order scheme on non-uniform meshes for the time-dependent Schrödinger equation. - Alexander Zlotnik 002; Raimondas Ciegis (Appl. Math. Lett., 2018)

Practical error Analysis for the three-Level Bilinear FEM and finite-difference Scheme for the 1D wave equation with non-smooth Data. - Alexander Zlotnik 002; Olga Kireeva (Math. Model. Anal., 2018)

On L2-dissipativity of linearized explicit finite-difference schemes with a regularization on a non-uniform spatial mesh for the 1D gas dynamics equations. - Alexander Zlotnik 002 (Appl. Math. Lett., 2019)

Verification of an Entropy dissipative Qgd-Scheme. - Alexander Zlotnik 002; Timofey Lomonosov (Math. Model. Anal., 2019)

L2-dissipativity of the linearized explicit finite-difference scheme with a kinetic regularization for 2D and 3D gas dynamics system of equations. - Alexander Zlotnik 002; Timofey Lomonosov (Appl. Math. Lett., 2020)

An Energy dissipative Spatial discretization for the Regularized compressible Navier-Stokes-Cahn-Hilliard System of equations. - Vladislav A. Balashov; Alexander Zlotnik 002 (Math. Model. Anal., 2020)

A compact higher-order finite-difference scheme for the wave equation can be strongly non-dissipative on non-uniform meshes. - Alexander Zlotnik 002; Raimondas Ciegis (Appl. Math. Lett., 2021)

On Properties of Compact 4th order Finite-Difference Schemes for the Variable Coefficient Wave Equation. - Alexander Zlotnik 002; Raimondas Ciegis (CoRR, 2021)

On properties of an explicit in time fourth-order vector compact scheme for the multidimensional wave equation. - Alexander Zlotnik 002 (CoRR, 2021)

On a New Spatial Discretization for a Regularized 3D Compressible Isothermal Navier-Stokes-Cahn-Hilliard System of Equations with Boundary Conditions. - Vladislav A. Balashov; Alexander Zlotnik 002 (J. Sci. Comput., 2021)

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). - Vladislav A. Balashov; Alexander Zlotnik 002 (Math. Model. Anal., 2021)

On Compact 4th order finite-difference Schemes for the wave equation. - Alexander Zlotnik 002; Olga Kireeva (Math. Model. Anal., 2021)

On Conditions for L2-Dissipativity of an Explicit Finite-Difference Scheme for Linearized 2D and 3D Barotropic Gas Dynamics System of Equations with Regularizations. - Alexander Zlotnik 002 (Symmetry, 2021)

On higher-order compact ADI schemes for the variable coefficient wave equation. - Alexander Zlotnik 002; Raimondas Ciegis (Appl. Math. Comput., 2022)

Entropy Correct Spatial Discretizations for 1D Regularized Systems of Equations for Gas Mixture Dynamics. - Alexander Zlotnik 002; Anna Fedchenko; Timofey Lomonosov (Symmetry, 2022)

On a Doubly Reduced Model for Dynamics of Heterogeneous Mixtures of Stiffened Gases, its Regularizations and their Implementations. - Alexander A. Zlotnik; Timofey Lomonosov (CoRR, 2023)

On Regularized Systems of Equations for Gas Mixture Dynamics with New Regularizing Velocities and Diffusion Fluxes. - Alexander Zlotnik 002; Timofey Lomonosov (Entropy, 2023)

On Construction and Properties of Compact 4th Order Finite-Difference Schemes for the Variable Coefficient Wave Equation. - Alexander Zlotnik 002; Raimondas Ciegis (J. Sci. Comput., 2023)

Remarks on the model of quasi-homogeneous binary mixtures with the NASG equations of state. - Alexander Zlotnik 002 (Appl. Math. Lett., 2023)

On properties of a semi-explicit in time fourth-order vector compact scheme for the multidimensional acoustic wave equation. - Alexander Zlotnik 002; Timofey Lomonosov (CoRR, 2024)

Upper and lower error bounds for a compact fourth-order finite-difference scheme for the wave equation with nonsmooth data. - Alexander Zlotnik 002 (J. Complex., 2025)

A Semi-Explicit Compact Fourth-Order Finite-Difference Scheme for the General Acoustic Wave Equation. - Alexander A. Zlotnik; Timofey Lomonosov (CoRR, 2025)