Speed Versus Stability of Multi-Rate Runge-Kutta Methods in Transient Electronic Circuit Simulation

Dynamical behavior of some electronic circuits involves signals with widely separated rates of variation. Numerical solution of ordinary differential systems describing such circuits may be achieved in an efficient way using multi-rate methods, which use different step sizes for each subsystem. In this paper we will test the performance of two multi-rate Runge-Kutta algorithms in terms of numerical stability and computational speed. Being similar to the previous study done in [6], the results for linear stability analysis here presented are much more coherent with the characteristics of the methods. Key-Words: Electronic circuit simulation, transient analysis, multi-rate Runge-Kutta methods, speed, stability.