Numerical Techniques For Fast And Accurate Transient Analysis Of Nonlinear Circuits

The field of nonlinear circuit simulation has from the beginning been plagued by numerical problems arising from the use of numerical methods not matched to the problems which simulation programs were intended to solve. These programs have, however, provided the stimulus for research in this area by electrical engineers or by engineer-mathematician teams. The result has been an enormous increase in the efficiency and reliability of experimental simulation programs. In this paper, it is shown how recent work in sparse matrix methods and numerical integration techniques have made possible analysis of gate-sized switching circuits in seconds with a medium-speed computer and in fractions of a second with high-speed models. Further, it is shown how choice of proper variables affects both the reliability and speed of solution. (Author).