15 citations · 99 across the 17 of their papers we have counts for
Showing 2017Show all
3 papers · 1 filter
math.NA2017★ 6 cited
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…
math.NA2017★ 13 cited
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…
math.NA2017★ 1 cited
On fast Fourier solvers for the tensor product high-order FEM for a generalized Poisson equation
Alexander Zlotnik, Ilya Zlotnik
We present direct logarithmically optimal in theory and fast in practice algorithms to implement the tensor product high order finite element method on multi-dimensional rectangula…