15 citations · 99 across the 17 of their papers we have counts for
Showing 2014Show all
2 papers · 1 filter
math.NA2014★ 4 cited
Some remarks on discrete and semi-discrete transparent boundary conditions for solving the time-dependent Schrödinger equation on the half-axis
Alexander Zlotnik, Ilya Zlotnik
We consider the generalized time-dependent Schrödinger equation on the half-axis and a broad family of finite-difference schemes with the discrete transparent boundary conditions (…
math.NA2014★ 4 cited
On the Richardson Extrapolation in Time of Finite Element Method with Discrete TBCs for the Cauchy Problem for the 1D Schrödinger Equation
A. Zlotnik, I. Zlotnik
We consider the Cauchy problem for the 1D generalized Schrödinger equation on the whole axis. To solve it, any order finite element in space and the Crank-Nicolson in time method w…