A Generalized Discontinuous Galerkin Method: The GDG Method - Couverture souple

Fan, Kai

 
9783639108040: A Generalized Discontinuous Galerkin Method: The GDG Method
Couverture souple
ISBN 10 : 3639108043 ISBN 13 : 9783639108040
Editeur : VDM Verlag Dr. Müller, 2008

Synopsis

In this book, a new Generalized Discontinuous Galerkin (GDG) method for Schrodinger equations with nonsmooth solutions is proposed. The numerical method is based on a reformulation of Schrodinger equations, using split distributional variables and their related integration by parts formulae to account for solution jumps across material interfaces. GDG can handle time dependent and general nonlinear jump conditions. And numerical results validate the high order accuracy and the flexibility of the method for various types of interface conditions. As one of GDG's application, a new vectorial generalized discontinuous Galerkin beam propagation method (GDG-BPM) for wave propagations in inhomogeneous optical waveguides is also included. The resulting GDG-BPM takes on four formulations for either electric or magnetic field. GDG- BPM's unique feature of handling interface jump conditions and its flexibility in modeling wave propagations in inhomogeneous optical fibers is shown by various numerical results.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

In this book, a new Generalized Discontinuous Galerkin (GDG) method for Schrodinger equations with nonsmooth solutions is proposed. The numerical method is based on a reformulation of Schrodinger equations, using split distributional variables and their related integration by parts formulae to account for solution jumps across material interfaces. GDG can handle time dependent and general nonlinear jump conditions. And numerical results validate the high order accuracy and the flexibility of the method for various types of interface conditions. As one of GDG's application, a new vectorial generalized discontinuous Galerkin beam propagation method (GDG-BPM) for wave propagations in inhomogeneous optical waveguides is also included. The resulting GDG-BPM takes on four formulations for either electric or magnetic field. GDG- BPM's unique feature of handling interface jump conditions and its flexibility in modeling wave propagations in inhomogeneous optical fibers is shown by various numerical results.

Biographie de l'auteur

Kai Fan holds a B.Sc (2003) in Mathematics from Hong Kong Baptist University, China, and a Ph.D (2008) in Applied Mathematics from the University of North Carolina at Charlotte, US. In 2008, he joined North Carolina State University as a research associate.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
VDM Verlag Dr. Müller
Date d'édition
2008
Langue
anglais
ISBN 10 
3639108043
ISBN 13 
9783639108040
Reliure
Broché
Nombre de pages
80
Coordonnées du fabricant
non disponible
Personne responsable
non disponible

Autres éditions populaires du même titre

9781243475893: A Generalized Discontinuous Galerkin (Gdg) Method and Its Applications

Edition présentée

ISBN 10 :  1243475897 ISBN 13 :  9781243475893
Editeur : Proquest, Umi Dissertation Publi..., 2011
Couverture souple