Absorbing boundary conditions for the ...
Document type :
Compte-rendu et recension critique d'ouvrage
Title :
Absorbing boundary conditions for the one-dimensional Schrödinger equation with an exterior repulsive potential
Author(s) :
Antoine, Xavier [Auteur]
Robust control of infinite dimensional systems and applications [CORIDA]
Equations aux dérivées partielles [EDP]
Besse, Christophe [Auteur]
SImulations and Modeling for PArticles and Fluids [SIMPAF]
Klein, Pauline [Auteur]
Equations aux dérivées partielles [EDP]
SImulations and Modeling for PArticles and Fluids [SIMPAF]
Robust control of infinite dimensional systems and applications [CORIDA]
Robust control of infinite dimensional systems and applications [CORIDA]
Equations aux dérivées partielles [EDP]
Besse, Christophe [Auteur]
SImulations and Modeling for PArticles and Fluids [SIMPAF]
Klein, Pauline [Auteur]
Equations aux dérivées partielles [EDP]
SImulations and Modeling for PArticles and Fluids [SIMPAF]
Robust control of infinite dimensional systems and applications [CORIDA]
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
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 >
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
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