15 citations · 99 across the 17 of their papers we have counts for
17 papers
On Properties of Compact 4th order Finite-Difference Schemes for the Variable Coefficient Wave Equation
Alexander Zlotnik, Raimondas Čiegis
We consider an initial-boundary value problem for the -dimensional wave equation with the variable sound speed, . We construct three-level implicit in time and compact…
A compact higher-order finite-difference scheme for the wave equation can be strongly non-dissipative on non-uniform meshes
Alexander Zlotnik, Raimondas Čiegis
We study necessary conditions for stability of a Numerov-type compact higher-order finite-difference scheme for the 1D homogeneous wave equation in the case of non-uniform spatial…
On compact 4th order finite-difference schemes for the wave equation
Alexander Zlotnik, Olga Kireeva
We consider compact finite-difference schemes of the 4th approximation order for an initial-boundary value problem (IBVP) for the -dimensional non-homogeneous wave equation, $n\…
On conditions for weak conservativeness of regularized explicit finite-difference schemes for 1D barotropic gas dynamics equations
A. Zlotnik, T. Lomonosov
We consider explicit two-level three-point in space finite-difference schemes for solving 1D barotropic gas dynamics equations. The schemes are based on special quasi-gasdynamic an…
A "converse" stability condition is necessary for a compact higher order scheme on non-uniform meshes
Alexander Zlotnik, Raimondas Čiegis
The stability bounds and error estimates for a compact higher order Numerov-Crank-Nicolson scheme on non-uniform space meshes for the 1D time-dependent Schrödinger equation have be…
Finite element error analysis for measure-valued optimal control problems governed by a 1D wave equation with variable coefficients
Philip Trautmann, Boris Vexler, Alexander Zlotnik
This work is concerned with the optimal control problems governed by a 1D wave equation with variable coefficients and the control spaces of either measure-valued fu…