STABILITY OF THE LINEARIZED TRANSIENT SEMICONDUCTOR DEVICE EQUATIONS.

P. A. Markowich, Christian Ringhofer

Research output: Contribution to journalArticle

7 Citations (Scopus)

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 discretization 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
JournalZeitschrift fur angewandte Mathematik und Mechanik
Volume37
Issue number7
StatePublished - 1987
Externally publishedYes

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Semiconductor Devices
Semiconductor devices
Semigroup Theory
Time Discretization
Singular Perturbation
Euler
Stability Analysis
Upper bound
Eigenvalue
Estimate

ASJC Scopus subject areas

  • Computational Mechanics
  • Applied Mathematics

Cite this

STABILITY OF THE LINEARIZED TRANSIENT SEMICONDUCTOR DEVICE EQUATIONS. / Markowich, P. A.; Ringhofer, Christian.

In: Zeitschrift fur angewandte Mathematik und Mechanik, Vol. 37, No. 7, 1987, p. 319-332.

Research output: Contribution to journalArticle

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