57 citations · 357 across the 33 of their papers we have counts for
Showing 2018Show all
3 papers · 1 filter
math.NA2018★ 3 cited
WKB-method for the 1D Schrödinger equation in the semi-classical limit: enhanced phase treatment
A. Arnold, C. Klein. B. Ujvari
This paper is concerned with the efficient numerical computation of solutions to the 1D stationary Schrödinger equation in the semiclassical limit in the highly oscillatory regime.…
math.NA2018★ 6 cited
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…
math.AP2018★ 13 cited
On optimal decay estimates for ODEs and PDEs with modal decomposition
Franz Achleitner, Anton Arnold, Beatrice Signorello
We consider the Goldstein-Taylor model, which is a 2-velocity BGK model, and construct the "optimal" Lyapunov functional to quantify the convergence to the unique normalized steady…