A numerical method for kinetic semiconductor equations in the drift-diffusion limit

Authors
Klar, A
Citation
A. Klar, A numerical method for kinetic semiconductor equations in the drift-diffusion limit, SIAM J SC C, 20(5), 1999, pp. 1696-1712
Citations number
25
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON SCIENTIFIC COMPUTING
ISSN journal
10648275 → ACNP
Volume
20
Issue
5
Year of publication
1999
Pages
1696 - 1712
Database
ISI
SICI code
1064-8275(19990521)20:5<1696:ANMFKS>2.0.ZU;2-3
Abstract
An asymptotic-induced scheme for kinetic semiconductor equations with the d iffusion scaling is developed. The scheme is based on the asymptotic analys is of the kinetic semiconductor equation. It works uniformly for all ranges of mean free paths. The velocity discretization is done using quadrature p oints equivalent to a moment expansion method. Numerical results for differ ent physical situations are presented.