Absorbing boundary conditions for the one-dimensional Schrödinger equation with an exterior repulsive potential

Author:

Antoine Xavier,Besse Christophe,Klein Pauline

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modelling and Simulation,Numerical Analysis

Reference29 articles.

1. M. Abramowitz, I.A. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical tables, 10th Printing, Volume 55 of National Bureau of Standards Applied Mathematics Series, For Sale by the Superintendent of Documents, US Government Printing Office, Washington, DC, 1964.

2. A review of transparent and artificial boundary conditions techniques for linear and nonlinear Schrödinger equations;Antoine;Commun. Comput. Phys.,2008

3. Construction structure and asymptotic approximations of a microdifferential transparent boundary condition for the linear Schrödinger equation;Antoine;J. Math. Pures Appl. (9),2001

4. Unconditionally stable discretization schemes of non-reflecting boundary conditions for the one-dimensional Schrödinger equation;Antoine;J. Comput. Phys.,2003

5. Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations;Antoine;SIAM J. Numer. Anal.,2006

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