Anton Arnold

activity

20162024

most citedOptimally truncated WKB approximation for the highly oscillatory stationary 1D Schrödinger equation

1 citations · 1 across the 4 of their papers we have counts for

collaborators

Showing 2023Show all

2 papers · 1 filter

math.NA2023

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 $ε^{2} φ^{''} + a (x) φ = 0$ in the highly oscillatory regime, i.e., with $a (x) > 0$ and $0 < ε ≪ 1$ . We discuss their efficient num…

math.NA2023★ 1 cited

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 $ε^{2} φ^{''} + a (x) φ = 0$ in the highly oscillatory regime, i.e., with $a (x) > 0$ and $0 < ε ≪ 1$ . We an…