Alexander Zlotnik

About Alexander Zlotnik

Alexander Zlotnik, With an exceptional h-index of 31 and a recent h-index of 17 (since 2020), a distinguished researcher at National Research University Higher School of Economics, specializes in the field of numerical mathematics, partial differential equations.

His recent articles reflect a diverse array of research interests and contributions to the field:

On properties of a semi-explicit in time fourth-order vector compact scheme for the multidimensional acoustic wave equation

On stability and error bounds of an explicit in time higher-order vector compact scheme for the multidimensional wave and acoustic wave equations

Remarks on the model of quasi-homogeneous binary mixtures with the NASG equations of state

On construction and properties of compact 4th order finite-difference schemes for the variable coefficient wave equation

On regularized systems of equations for gas mixture dynamics with new regularizing velocities and diffusion fluxes

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

Conditions for -dissipativity of an explicit symmetric finite-difference scheme for linearized 2d and 3d gas dynamics equations with a regularization

Regularized equations for dynamics of the heterogeneous binary mixtures of the Noble-Abel stiffened-gases and their application

Alexander Zlotnik Information

University

Position

___

Citations(all)

3349

Citations(since 2020)

981

Cited By

2711

hIndex(all)

31

hIndex(since 2020)

17

i10Index(all)

105

i10Index(since 2020)

35

Email

University Profile Page

Google Scholar

Alexander Zlotnik Skills & Research Interests

numerical mathematics

partial differential equations

Top articles of Alexander Zlotnik

Title

Journal

Author(s)

Publication Date

On properties of a semi-explicit in time fourth-order vector compact scheme for the multidimensional acoustic wave equation

arXiv preprint arXiv:2403.16174

Alexander Zlotnik

Timofey Lomonosov

2024/3/24

On stability and error bounds of an explicit in time higher-order vector compact scheme for the multidimensional wave and acoustic wave equations

Applied Numerical Mathematics

Alexander Zlotnik

Timofey Lomonosov

2024/1/1

Remarks on the model of quasi-homogeneous binary mixtures with the NASG equations of state

Applied Mathematics Letters

Alexander Zlotnik

2023/12/1

On construction and properties of compact 4th order finite-difference schemes for the variable coefficient wave equation

Journal of Scientific Computing

Alexander Zlotnik

Raimondas Čiegis

2023/4

On regularized systems of equations for gas mixture dynamics with new regularizing velocities and diffusion fluxes

Entropy

Alexander Zlotnik

Timofey Lomonosov

2023/1/12

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

Chaos

A. Zlotnik

T. Lomonosov

2023

Conditions for -dissipativity of an explicit symmetric finite-difference scheme for linearized 2d and 3d gas dynamics equations with a regularization

Discrete and Continuous Dynamical Systems-B

Alexander Zlotnik

2023

Regularized equations for dynamics of the heterogeneous binary mixtures of the Noble-Abel stiffened-gases and their application

Doklady Mathematics

Alexander Anatol'evich Zlotnik

Timofei Aleksandrovich Lomonosov

2023/12

On second-order parabolic and hyperbolic perturbations of a first-order hyperbolic system

Doklady Mathematics

Alexander Anatol'evich Zlotnik

Boris Nikolaevich Chetverushkin

2022/11

On the properties of a quasihydrodynamic system of equations for a homogeneous gas mixture with a common regularizing velocity

Differential Equations

AA Zlotnik

AS Fedchenko

2022/3

On properties of aggregated regularized systems of equations for a homogeneous multicomponent gas mixture

Mathematical Methods in the Applied Sciences

Alexander Zlotnik

Anna Fedchenko

2022

On the construction of regularized equations of motion for a mixture of viscous incompressible fluids

Doklady Mathematics

Alexander Anatol'evich Zlotnik

2022/11

On higher-order compact ADI schemes for the variable coefficient wave equation

Applied Mathematics and Computation

Alexander Zlotnik

Raimondas Čiegis

2022/1/1

On L2-Dissipativity of a Linearized Scheme on Staggered Meshes with a Regularization for 1D Barotropic Gas Dynamics Equations

Computational Mathematics and Mathematical Physics

Alexander Anatol'evich Zlotnik

Timofei Aleksandrovich Lomonosov

2022/11

Entropy correct spatial discretizations for 1D regularized systems of equations for gas mixture dynamics

Symmetry

Alexander Zlotnik

Anna Fedchenko

Timofey Lomonosov

2022/10/17

Conditions for dissipativity of an explicit finite-difference scheme for a linearized multidimensional quasi-gasdynamic system of equations

Doklady Mathematics

Alexander Anatol'evich Zlotnik

2022/8

On compact 4th order finite-difference schemes for the wave equation

Mathematical Modelling and Analysis

A. Zlotnik

O. Kireeva

2021

Spectral stability conditions for an explicit three-level finite-difference scheme for a multidimensional transport equation with perturbations

Differential Equations

AA Zlotnik

BN Chetverushkin

2021/7

Correction to the paper: An energy dissipative spatial discretization for the regularized compressible Navier-Stokes-Cahn-Hilliard system of equations (in Math. Model. Anal …

Mathematical Modelling and Analysis

Vladislav Balashov

Alexander Zlotnik

2021/5/26

On properties of an explicit in time fourth-order vector compact scheme for the multidimensional wave equation

arXiv preprint arXiv:2105.07206

Alexander Zlotnik

2021/5/15

See List of Professors in Alexander Zlotnik University(National Research University Higher School of Economics)