Contributions to Books:
X. Antoine, A. Arnold, C. Besse, M. Ehrhardt, A. Schädle:
"A review of transparent and artificial boundary conditions techniques for linear and nonlinear Schrödinger equations";
in: "ASC Report 24/2007",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
In this review article we discuss different techniques to solve numerically the timedependent
Schršodinger equation on unbounded domains. We present in detail the
most recent approaches and describe briefly alternative ideas pointing out the relations
between these works. We conclude with several numerical examples from
different application areas to compare the presented techniques. We mainly focus
on the one-dimensional problem but also touch upon the situation in two space
dimensions and the cubic nonlinear case.
Schršodinger equation, transparent boundary conditions, discrete
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.