Author(s) :
Xavier Antoine
,
Anton Arnold
,
Christophe Besse
,
Matthias Ehrhardt
,
Achim Schädle
Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 37-2007
PACS : 02.70.Bf, 31.15.Fx
Abstract :
In this review we discuss techniques to solve numerically the
time-dependent linear Schrödinger equation on unbounded domains.
We present some recent approaches and describe alternative ideas pointing out the relations between these works.
Keywords :
Schrödinger equation, transparent boundary conditions, discrete convolution, unbounded domain, finite difference schemes, finite elements
Notes :
Proceedings of ICIAM07, the 6th International Congress on Industrial and Applied Mathematics, Zürich, Switzerland, 16-20 July 2007,
Minisymposium Artificial Boundary Conditions for linear and nonlinear Schrödinger equations.