According to our database1, Alexander Zlotnik authored at least 20 papers between 2001 and 2021.
Legend:Book In proceedings Article PhD thesis Other
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.
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
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
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
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