A second-order L-stable time discretisation of the semiconductor device equations
type: Item
instance of: scholarly article
title: A second-order L-stable time discretisation of the semiconductor device equations
zbMATH Open document ID: 0756.65139
DOI: 10.1016/0377-0427(92)90072-6
author: Conor J. Fitzsimons
author: Fawang Liu
author: John J. H. Miller
published in: Journal of Computational and Applied Mathematics
publication date: 1993-01-17T00:00:00Z
review text: An \(L\)-stable and second-order accurate predictor-corrector method is applied to the semiconductor device equation. It is proved that the semidiscrete system linearized at an equilibrium point is stable independently of the time step and that current balance is conserved at each time level.
reviewed by: Edmond V. Nicolau
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65M20
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 78A55
Mathematics Subject Classification ID: 65M60
zbMATH DE Number: 96891
zbMATH Keywords: semiconductor device modelling
zbMATH Keywords: time-dependent
zbMATH Keywords: predictor-corrector
zbMATH Keywords: \(L\)- stability
zbMATH Keywords: linear stability
zbMATH Keywords: semidiscretization
MaRDI profile type: Publication
full work available at URL: 0377-0427(92)90072-6
OpenAlex ID: W2522619179
cites work: Split linear multistep methods for the numerical integration of stiff differential systems
cites work: Q4160330
cites work: Efficient Integration Methods for Stiff Systems of Ordinary Differential Equations
cites work: Q3314921
description: scientific article; zbMATH DE number 96891