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 language||English (US)|
|Number of pages||14|
|Journal||ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik|
|State||Published - 1987|
ASJC Scopus subject areas
- Computational Mechanics
- Applied Mathematics