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 ${\epsilon }^2{\phi }^{\prime \prime }+a(x)\phi =0$ in the highly oscillatory regime, i.e., with $a(x)>0$ and $0<\epsilon \ll 1$. We an…