Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
520298 | Journal of Computational Physics | 2009 | 24 Pages |
Abstract
Mathematical constructions and comparisons of accurate absorbing boundary conditions for the one-dimensional Schrödinger equation with a general variable repulsive potential are developed. Stable semi-discretization schemes are built for the associated initial boundary value problems. Finally, some numerical simulations give a comparison of the various absorbing boundary conditions and show that they yield accurate computations.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Xavier Antoine, Christophe Besse, Pauline Klein,