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 fixed-point iteration (FPI) and Newt
on's methods. The FPI technique is nearly ideally suited to solving la
rge, 3-D systems of semiconductor equations on machines of limited com
puter memory; however, it has certain limitations. This motivates the
local Newton method, which coordinates the use of both the FPI and New
ton's methods, for convergence faster than either method alone.