@Article{CiCP-10-1280,
author = {Pauline Klein, Xavier Antoine, Christophe Besse and Matthias Ehrhardt},
title = {Absorbing Boundary Conditions for Solving <em>N</em>-Dimensional Stationary Schrödinger Equations with Unbounded Potentials and Nonlinearities},
journal = {Communications in Computational Physics},
year = {2011},
volume = {10},
number = {5},
pages = {1280--1304},
abstract = {<p style="text-align: justify;">We propose a hierarchy of novel absorbing boundary conditions for the one-dimensional
stationary Schrödinger equation with general (linear and nonlinear) potential.
The accuracy of the new absorbing boundary conditions is investigated numerically
for the computation of energies and ground-states for linear and nonlinear
Schrödinger equations. It turns out that these absorbing boundary conditions and
their variants lead to a higher accuracy than the usual Dirichlet boundary condition.
Finally, we give the extension of these ABCs to <em>N</em>-dimensional stationary Schrödinger
equations.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.251010.160211a},
url = {http://global-sci.org/intro/article_detail/cicp/7484.html}
}