Title :

Absorbing Boundary Conditions for General Nonlinear Schrödinger Equations

Author(s) :

Antoine, Xavier [Auteur]
Institut Élie Cartan de Nancy [IECN]
Robust control of infinite dimensional systems and applications [CORIDA]
Besse, Christophe [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
SImulations and Modeling for PArticles and Fluids [SIMPAF]
Klein, Pauline [Auteur]
Laboratoire de Mathématiques de Besançon (UMR 6623) [LMB]

Journal title :

SIAM Journal on Scientific Computing

Pages :

1008-1033

Publisher :

Society for Industrial and Applied Mathematics

Publication date :

2011

ISSN :

1064-8275

English keyword(s) :

absorbing boundary conditions
pseudodifferential operators
stable semi-discrete schemes
nonlinear Schrödinger equation with potential
fixed point algorithm
relaxation scheme

HAL domain(s) :

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

English abstract : [en]

This paper addresses the construction of different families of absorbing boundary conditions for the one- and two-dimensional Schrödinger equation with a general variable nonlinear potential. Various semi-discrete time ...
Show more >This paper addresses the construction of different families of absorbing boundary conditions for the one- and two-dimensional Schrödinger equation with a general variable nonlinear potential. Various semi-discrete time schemes are built for the associated initial boundary value problems. Finally, some numerical simulations give a comparison of the various absorbing boundary conditions and associated schemes to analyze their accuracy and efficiency.Show less >

Language :

Anglais

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL