The Simulation of Oscillatory Circuits: An Efficient Integration Scheme

Abstract

Circuit simulation is a standard task for the computer-aided design of electronic circuits. From the mathematical point of view, the transient simulation is well-understood for most circuits. For very large circuits (e.g., memory chips) and highly oscillatory circuits (e.g., quartz oscillators) standard techniques will fail due to the very large computational effort for the numerical simulation. The exploitation of latency is a remedy for very large circuits, see, e.g., [4]. The simulation of highly oscillatory circuits, however, requires a quite different approach.

Granted partly by the Bayerishe Forshungsstiftung within the “Bavarian Concortion for High Performance Scientific Computing — FORTWIHT”. This work is part of the project “Numerical simulatoin of electric circuits and semiconductor devices”.