Mathematical Challenges of Quantum Transport in Nano-Optoelectronic Systems - Abstract

Arnold, Anton

Asymptotically correct finite difference schemes for highly oscillatory ODEs

We are concerned with the numerical integration of ODEs of the form $epsilon2 psi_xx + a(x)psi=0$ for given $a(x)gealpha>0$ in the highly oscillatory regime $0[2mm] Ref: A. ARNOLD, N. BEN ABDALLAH and C. NEGULESCU: WKB-based schemes for the Schrödinger equation in the semi-classical limit, preprint 2010.