An absolutely-stable arbitrarily high-order implicit numerical integration method and its application to the time-domain simulation of interconnect circuits

Abstract

This paper presents an outline of a new integration method and describes the results of its application in simulating electric circuits in the time-domain. The proposed method does not suffer from the stability vs. order limitation of classical linear multistep methods. Hence, it enables using arbitrarily high- order approximations to the circuit waveforms while maintaining the stability over the entire left side of the complex-plane (A-stability).