TY - JOUR
T1 - Stability of the Linearized Transient Semiconductor Device Equations
AU - Markowich, P. A.
AU - Ringhofer, Christian
PY - 1987
Y1 - 1987
N2 - 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’.
AB - 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’.
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U2 - 10.1002/zamm.19870670710
DO - 10.1002/zamm.19870670710
M3 - Article
AN - SCOPUS:84983962173
SN - 0044-2267
VL - 67
SP - 319
EP - 332
JO - ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
JF - ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
IS - 7
ER -