Development and testing of high accuracy hybrid methods for time-domain simulation of electronic circuits and systems

This paper presents hybrid L- and P-stable implicit numerical methods for solving differential equations of electronic circuits and systems. Hybrid methods are developed on the basis of two known subclasses of implicit Runge-Kutta methods commonly referred to as Rado IIA and Lobatto IIIA methods. Comparative analysis of the known methods and the proposed hybrid methods demonstrates a high accuracy of the latter methods for time-domain simulation of stiff and oscillating circuits and systems. Hybrid methods are also effective for solving differential-algebraic equations which describe arbitrary electrical circuits.