Hypothetical simulation of non-linear systems with memory, using an ideal computer with infinite speed and capacity

Abstract

The solution of equations describing non-linear dynamic systems is considered. A computer with infinite speed and capacity—as a hypothetical device—is assumed. The method is based on the classical sampling theorem, Newton iteration and discrete Fourier transform. Algorithms for transient and periodic cases, working simultaneously in the time and frequency domain are introduced and demonstrated. Copyright © 2000 John Wiley & Sons, Ltd.