@Article{CiCP-10-1280, author = {}, title = {Absorbing Boundary Conditions for Solving N-Dimensional Stationary Schrödinger Equations with Unbounded Potentials and Nonlinearities}, journal = {Communications in Computational Physics}, year = {2011}, volume = {10}, number = {5}, pages = {1280--1304}, abstract = {

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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.251010.160211a}, url = {http://global-sci.org/intro/article_detail/cicp/7484.html} }