Title :
A modified Gummel method for the basic semiconductor device equations
Author :
Ringhofer, Christian ; Schmeiser, Christian
Author_Institution :
Dept. of Math., Arizona State Univ., Tempe, AZ, USA
fDate :
2/1/1988 12:00:00 AM
Abstract :
A modification of H.K. Gummel´s (1964) method for the iterative solution of the basic semiconductor device equations is presented. The method uses an approximation of an appropriately preconditioned Jacobian matrix and is designed to improve the convergence of Gummel´s method for large currents. Performance is tested on a model problem
Keywords :
convergence of numerical methods; iterative methods; semiconductor device models; convergence; iterative solution; large currents; model; modified Gummel method; preconditioned Jacobian matrix; semiconductor device equations; Convergence; Difference equations; Ear; Equations; Hydrogen; Iterative methods; Jacobian matrices; Mathematical analysis; Mathematics; Semiconductor devices; Steady-state; Testing;
Journal_Title :
Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on
