TY - JOUR
T1 - Analysis of High-Order Absorbing Boundary Conditions for the Schrödinger Equation
JO - Communications in Computational Physics
VL - 3
SP - 742
EP - 766
PY - 2011
DA - 2011/10
SN - 10
DO - http://doi.org/10.4208/cicp.280610.161110a
UR - https://global-sci.org/intro/article_detail/cicp/7459.html
KW - 
AB - <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>