1 citations · 1 across the 4 of their papers we have counts for
5 papers
WKB-based third order method for the highly oscillatory 1D stationary Schrödinger equation
Anton Arnold, Jannis Körner
This paper introduces an efficient high-order numerical method for solving the 1D stationary Schrödinger equation in the highly oscillatory regime. Building upon the ideas from [Ar…
Optimally truncated WKB approximation for the 1D stationary Schrödinger equation in the highly oscillatory regime
Anton Arnold, Christian Klein, Jannis Körner +1
This paper is dedicated to the efficient numerical computation of solutions to the 1D stationary Schrödinger equation in the highly oscillatory regime. We compute an approximate so…
High-order WKB-based Method For The 1D Stationary Schrödinger Equation In The Semi-classical Limit
Anton Arnold, Jannis Körner
We consider initial value problems for in the highly oscillatory regime, i.e., with and . We discuss their efficient num…
Optimally truncated WKB approximation for the highly oscillatory stationary 1D Schrödinger equation
Jannis Körner, Anton Arnold, Christian Klein +1
We discuss the numerical solution of initial value problems for in the highly oscillatory regime, i.e., with and . We an…
Stationary Schrödinger equation in the semi-classical limit: numerical coupling of oscillatory and evanescent regions
Anton Arnold, Claudia Negulescu
This paper is concerned with a 1D Schrödinger scattering problem involving both oscillatory and evanescent regimes, separated by jump discontinuities in the potential function, to…