2 papers
math.NA2021
WKB-based scheme with adaptive step size control for the Schrödinger equation in the highly oscillatory regime
Jannis Körner, Anton Arnold, Kirian Döpfner
This paper is concerned with an efficient numerical method for solving the 1D stationary Schrödinger equation in the highly oscillatory regime. Being a hybrid, analytical-numerical…
math.NA2018
Stationary Schrödinger equation in the semi-classical limit: WKB-based scheme coupled to a turning point
Anton Arnold, Kirian Döpfner
This paper is concerned with the efficient numerical treatment of 1D stationary Schrödinger equations in the semi-classical limit when including a turning point of first order. For…