A waveform bounding algorithm for simulation of RLC circuits

Abstract

A new waveform bounding algorithm to obtain an upper and lower waveform bound of the time response of a class of RLC circuits is presented. The algorithm produces a sequence of waveforms which converge to the true solution monotonically from above and below. The key step is the choice of the initial guess in the relaxation process. A new method to obtain an initial guess that guarantees monotonic convergence is given. Numerical examples are included to confirm the theoretical results.