Fast and Stable Transient Simulation of Nonlinear Circuits Using the Numerical Inversion of the Laplace Transform

This article outlines a novel approach for simulating general nonlinear circuits in the time-domain. The proposed approach can be considered as the generalization of the numerical inversion Laplace transform (NILT). NILT has been used for circuits with only linear elements. The new approach enables the well-known advantages of NILT such as the guaranteed numerical stability and the high-order approximation, to be carried over to the domain of nonlinear circuit simulations. Numerical examples are given to demonstrate the validity and efficiency of the proposed method.