@Article{CiCP-10-742,
author = {Jiwei Zhang, Zhizhong Sun, Xiaonan Wu and Desheng Wang},
title = {Analysis of High-Order Absorbing Boundary Conditions for the Schrödinger Equation},
journal = {Communications in Computational Physics},
year = {2011},
volume = {10},
number = {3},
pages = {742--766},
abstract = {<p style="text-align: justify;">The paper is concerned with the numerical solution of Schrödinger equations
on an unbounded spatial domain. High-order absorbing boundary conditions
for one-dimensional domain are derived, and the stability of the reduced initial boundary
value problem in the computational interval is proved by energy estimate. Then a
second order finite difference scheme is proposed, and the convergence of the scheme
is established as well. Finally, numerical examples are reported to confirm our error
estimates of the numerical methods.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.280610.161110a},
url = {http://global-sci.org/intro/article_detail/cicp/7459.html}
}