11 citations · 20 across the 2 of their papers we have counts for
2 papers
math.NA2013★ 9 cited
A splitting higher order scheme with discrete transparent boundary conditions for the Schrödinger equation in a semi-infinite parallelepiped
Bernard Ducomet, Alexander Zlotnik, Alla Romanova
An initial-boundary value problem for the -dimensional () time-dependent Schrödinger equation in a semi-infinite (or infinite) parallelepiped is considered. Starting fr…
math.NA2013★ 11 cited
A Numerov-Crank-Nicolson-Strang scheme with discrete transparent boundary conditions for the Schrödinger equation on a semi-infinite strip
Alexander Zlotnik, Alla Romanova
We consider an initial-boundary value problem for a 2D time-dependent Schrödinger equation on a semi-infinite strip. For the Numerov-Crank-Nicolson finite-difference scheme with di…