Numerical analysis of the weighted particle method applied to the semiconductor Boltzmann equation
type: Item
instance of: scholarly article
title: Numerical analysis of the weighted particle method applied to the semiconductor Boltzmann equation
zbMATH Open document ID: 0672.65114
DOI: 10.1007/BF01398918
author: B. Niclot
author: Pierre Degond
published in: Numerische Mathematik
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133373
review text: The authors consider an approximation to the semiconductor Boltzmann equation with a distribution function associated with a set of particles. Estimates of the errors associated with the solution are given, and the problems of multiband and multivalued materials are considered. The authors suggest that the particle method considered in the paper is, from the point of view of stability in time, superior to finite difference methods.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 78A55
Mathematics Subject Classification ID: 45K05
zbMATH DE Number: 4100580
zbMATH Keywords: semiconductor Boltzmann equation
zbMATH Keywords: particle method
zbMATH Keywords: stability in time
zbMATH Keywords: finite difference methods
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4100580