Absorbing boundary conditions for the ...
Type de document :
Compte-rendu et recension critique d'ouvrage
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]
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
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 >
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
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