Stability of the Linearized Transient Semiconductor Device Equations

P. A. Markowich, Christian Ringhofer

Research output: Contribution to journalArticle

Abstract

We present a stability analysis of the linearized transient semiconductor device equations by means of semigroup theory. Central to the developed theory is an estimate for the real parts of the eigenvalues of the linearized device problem with an upper bound which only depends on the biasing situation of the device. Under realistic assumptions we show that the device problem and its implicit Euler time discretisation are uniformly (with respect to an intrinsic singular perturbation parameter) stable ‘in the linearized sense’.

Original languageEnglish (US)
Pages (from-to)319-332
Number of pages14
JournalZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Volume67
Issue number7
DOIs
StatePublished - 1987

ASJC Scopus subject areas

  • Computational Mechanics
  • Applied Mathematics

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