Formulation of network equations: Nodal, mesh, modified nodal and hybrid analysis equations.;Sparse matrix techniques; Solution of nonlinear networks through Newton-Raphson technique.;Multistep methods: convergence and stability; Special classes of multistep methods: Adams-bashforth, Adams-Moulton and Gear's methods; Solution of stiff systems of equations; Adaptation of multistep methods to the solution of electrical networks; General purpose circuit simulators.;Review of semiconductor equations (Poisson, continuity, drift-diffusion, trap rate). Finite difference formulation of these equations in 1D and 2D. Grid generation.;Physical/empirical models of semiconductor parameters (mobility, lifetime, band gap, etc.).;Computation of characteristics of simple devices (p-n junction, MOS capacitor, MOSFET, etc.); Small-signal analysis.
L.O.Chua and P.M.Lin, Computer aided analysis and electronic circuits, Prentice Hall, 1975.
S. Selberherr, Analysis and Simulation of Semiconductor Devices, Springer-Verlag, 1984.