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

This paper 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) which has been used for circuits with only linear elements. The new approach enables the well-known advantages of NILT such the guaranteed numerical stability and the high-order approximation, to be carried to the domain of nonlinear circuit. A numerical example is given to demonstrate the validity of the proposed method.