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

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 highorder approximations to the circuit waveforms while maintaining the stability over the entire left side of the complex-plane (A-stability).