A Singular Perturbation Analysis for the Transient Semiconductor Device Equations in One Space Dimension

A singular perturbation analysis for the basic semiconductorequations is presented. Asymptotic expansions are derived andthe existence of solutions is investigated. Effects of velocitysaturation are included in the model.     

Computation of Current-Voltage Characteristics in a Semiconductor Device using Arc-length Continuation

This paper is concerned with the computation of semiconductordevice current—voltage characteristics. We describe analgorithm which allows the computation of characteristics bycontinuation in a parameter which approximates the arc lengthof the characteristic. The use of this parameterization allowsthe characteristic to continue beyond snap-back voltages, whilecontinuation in the voltage fails past snap-back voltages. Wediscuss the implementation of the parameterization and givea numerical example.