Titre :

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

Auteur(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]

Titre de la revue :

Journal of Computational Physics

Pagination :

312-335

Éditeur :

Elsevier

Date de publication :

2009

ISSN :

0021-9991

Mot(s)-clé(s) en anglais :

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

Discipline(s) HAL :

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

Résumé en anglais : [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 ...
Lire la suite >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.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL