Alexander Zlotnik
According to our database^{1},
Alexander Zlotnik
authored at least 20 papers
between 2001 and 2021.
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Bibliography
2021
On a New Spatial Discretization for a Regularized 3D Compressible Isothermal NavierStokesCahnHilliard System of Equations with Boundary Conditions.
J. Sci. Comput., 2021
On Properties of Compact 4th order FiniteDifference Schemes for the Variable Coefficient Wave Equation.
CoRR, 2021
A compact higherorder finitedifference scheme for the wave equation can be strongly nondissipative on nonuniform meshes.
Appl. Math. Lett., 2021
2020
An Energy dissipative Spatial discretization for the Regularized compressible NavierStokesCahnHilliard System of equations.
Math. Model. Anal., 2020
CoRR, 2020
L2dissipativity of the linearized explicit finitedifference scheme with a kinetic regularization for 2D and 3D gas dynamics system of equations.
Appl. Math. Lett., 2020
2019
Math. Model. Anal., 2019
On L2dissipativity of linearized explicit finitedifference schemes with a regularization on a nonuniform spatial mesh for the 1D gas dynamics equations.
Appl. Math. Lett., 2019
2018
Practical error Analysis for the threeLevel Bilinear FEM and finitedifference Scheme for the 1D wave equation with nonsmooth Data.
Math. Model. Anal., 2018
A "converse" stability condition is necessary for a compact higher order scheme on nonuniform meshes for the timedependent Schrödinger equation.
Appl. Math. Lett., 2018
Appl. Math. Lett., 2018
2015
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 higherorder scheme with discrete transparent boundary conditions for the Schrödinger equation in a semiinfinite parallelepiped.
Appl. Math. Comput., 2015
2014
Error Estimates of the CrankNicolsonPolylinear FEM with the Discrete TBC for the Generalized Schrödinger Equation in an Unbounded Parallelepiped.
Proceedings of the Finite Difference Methods, Theory and Applications, 2014
2013
A Family of FiniteDifference Schemes with Discrete Transparent Boundary Conditions for a Parabolic Equation on the HalfAxis.
Comput. Methods Appl. Math., 2013
Splitting in Potential FiniteDifference Schemes with Discrete Transparent Boundary Conditions for the TimeDependent Schrödinger Equation.
Proceedings of the Numerical Mathematics and Advanced Applications  ENUMATH 2013, 2013
2009
Error Bounds for Finite Element Methods with Generalized Cubic Splines for a 4th Order Ordinary Differential Equation with Nonsmooth Data.
Comput. Methods Appl. Math., 2009
On one semidiscrete Galerkin method for a generalized timedependent 2D Schrödinger equation.
Appl. Math. Lett., 2009
2005
Stabilization and stability for the spherically symmetric NavierStokesPoisson system.
Appl. Math. Lett., 2005
2001
Remark on the stabilization of a viscous barotropic medium with a nonmonotonic equation of state.
Appl. Math. Lett., 2001