In this paper, a hybrid solution method is implemented for solving the semiconductor transport
equations. The hybrid “local Newton” method consists of a combination of the fixedpoint
iteration (FPI) and Newton’s methods. The FPI technique is nearly ideally suited to
solving large, 3-D systems of semiconductor equations on machines of limited computer
memory ; however, it has certain limitations. This motivates the local Newton method, which
coordinates the use of both the FPI and Newton’s methods, for convergence faster than either
method alone.