TY - JOUR T1 - Absorbing Boundary Conditions for Solving N-Dimensional Stationary Schrödinger Equations with Unbounded Potentials and Nonlinearities JO - Communications in Computational Physics VL - 5 SP - 1280 EP - 1304 PY - 2011 DA - 2011/10 SN - 10 DO - http://doi.org/10.4208/cicp.251010.160211a UR - https://global-sci.org/intro/article_detail/cicp/7484.html KW - AB -

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 N-dimensional stationary Schrödinger equations.