Numerical methods for ordinary differential systems: the initial value problem
Numerical methods for ordinary differential systems: the initial value problem
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Multirate ROW methods and latency of electric circuits
Selected papers of the sixth conference on Numerical Treatment of Differential Equations
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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.