Alexander Zlotnik

According to our database1, Alexander Zlotnik authored at least 20 papers between 2001 and 2021.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of five.



In proceedings 
PhD thesis 


Online presence:



On a New Spatial Discretization for a Regularized 3D Compressible Isothermal Navier-Stokes-Cahn-Hilliard System of Equations with Boundary Conditions.
J. Sci. Comput., 2021

On Properties of Compact 4th order Finite-Difference Schemes for the Variable Coefficient Wave Equation.
CoRR, 2021

A compact higher-order finite-difference scheme for the wave equation can be strongly non-dissipative on non-uniform meshes.
Appl. Math. Lett., 2021

An Energy dissipative Spatial discretization for the Regularized compressible Navier-Stokes-Cahn-Hilliard System of equations.
Math. Model. Anal., 2020

On compact 4th order finite-difference schemes for the wave equation.
CoRR, 2020

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., 2020

Verification of an Entropy dissipative Qgd-Scheme.
Math. Model. Anal., 2019

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., 2019

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., 2018

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., 2018

On a hyperbolic perturbation of a parabolic initial-boundary value problem.
Appl. Math. Lett., 2018

The High Order Method with Discrete TBCs for Solving the Cauchy Problem for the 1D Schrödinger Equation.
Comput. Methods Appl. Math., 2015

On a splitting higher-order scheme with discrete transparent boundary conditions for the Schrödinger equation in a semi-infinite parallelepiped.
Appl. Math. Comput., 2015

Error Estimates of the Crank-Nicolson-Polylinear FEM with the Discrete TBC for the Generalized Schrödinger Equation in an Unbounded Parallelepiped.
Proceedings of the Finite Difference Methods, Theory and Applications, 2014

A Family of Finite-Difference Schemes with Discrete Transparent Boundary Conditions for a Parabolic Equation on the Half-Axis.
Comput. Methods Appl. Math., 2013

Splitting in Potential Finite-Difference Schemes with Discrete Transparent Boundary Conditions for the Time-Dependent Schrödinger Equation.
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2013, 2013

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., 2009

On one semidiscrete Galerkin method for a generalized time-dependent 2D Schrödinger equation.
Appl. Math. Lett., 2009

Stabilization and stability for the spherically symmetric Navier-Stokes-Poisson system.
Appl. Math. Lett., 2005

Remark on the stabilization of a viscous barotropic medium with a nonmonotonic equation of state.
Appl. Math. Lett., 2001