A Generalized Discontinuous Galerkin Method & Its Applications (Paperback)

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.

General

Imprint:	VDM Verlag
Country of origin:	Germany
Release date:	December 2008
First published:	December 2008
Authors:	Kai Fan
Dimensions:	229 x 152 x 4mm (L x W x T)
Format:	Paperback - Trade
Pages:	80
ISBN-13:	978-3-639-10804-0
Categories:	Books > Science & Mathematics > Mathematics > General Promotions
LSN:	3-639-10804-3
Barcode:	9783639108040

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!