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

Authors:
Xavier Antoine;Christophe Besse;Pauline Klein
Affiliations:
Institut Elie Cartan Nancy, Nancy-Université, CNRS UMR 7502, INRIA CORIDA Team, Boulevard des Aiguillettes B.P. 239, F-54506 Vandoeuvre-lès-Nancy, France;Equipe Projet Simpaf - Inria CR Lille Nord Europe, Laboratoire Paul Painlevé, Unité Mixte de Recherche CNRS (UMR 8524), UFR de Mathématiques Pures et Appliquées, Université ...;Institut Elie Cartan Nancy, Nancy-Université, CNRS UMR 7502, INRIA CORIDA Team, Boulevard des Aiguillettes B.P. 239, F-54506 Vandoeuvre-lès-Nancy, France
Venue:
Journal of Computational Physics
Year:
2009

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Abstract

We discuss in this paper efficient solvers for stochastic diffusion equations in random media. We employ generalized polynomial chaos (gPC) expansion to express the solution in a convergent series and obtain a set of deterministic equations for the expansion ...