A new enveloped following (EF) method based on high-order Obreshkov integration formula is presented. The new method is suitable for transient analysis of highly oscillatory circuits with widely separated time-scales. In addition, the proposed algorithm is capable of producing high-order numerically stable approximation of the transient response. The use of high-order formulas leads to a significant reduction in the computational time compared to low-order EF methods because it allows taking large steps in time while keeping the same accuracy.

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Keywords Envelope following (EF) methods, high-order stable methods, oscillatory circuits analysis, simulation of microwave structures, time-domain simulation
Persistent URL dx.doi.org/10.1109/TMTT.2014.2365177
Journal IEEE Transactions on Microwave Theory and Techniques
Farhan, M.A. (Mina A.), Gad, E. (Emad), Nakhla, M.S, & Achar, R. (2014). High order and a-stable envelope following method for transient simulations of oscillatory circuits. IEEE Transactions on Microwave Theory and Techniques, 62(12), 3309–3317. doi:10.1109/TMTT.2014.2365177