Title :

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

Author(s) :

Antoine, Xavier [Auteur]
Equations aux dérivées partielles [EDP]
Robust control of infinite dimensional systems and applications [CORIDA]
Besse, Christophe [Auteur]
SImulations and Modeling for PArticles and Fluids [SIMPAF]
Klein, Pauline [Auteur]
Robust control of infinite dimensional systems and applications [CORIDA]
SImulations and Modeling for PArticles and Fluids [SIMPAF]
Equations aux dérivées partielles [EDP]

Journal title :

Journal of Computational Physics

Pages :

312-335

Publisher :

Elsevier

Publication date :

2009

ISSN :

0021-9991

English keyword(s) :

Schrödinger equation
Artificial boundary condition
Exterior potential
Unconditionally stable discretization schemes
Numerical simulations

HAL domain(s) :

Mathématiques [math]/Analyse numérique [math.NA]

English abstract : [en]

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 ...
Show more >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.Show less >

Language :

Anglais

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL