A new efficient numerical integration scheme for highly oscillatory electric circuits

This paper presents a new numerical integration scheme for second order ordinary differential equations which can integrate highly oscillating electric circuits with high efficiency. This is shown by numerical results. The discretization scheme is based on the principle of coherence proposed by Hersch which will be described shortly. The analysis reveals important properties of the new method such as consistency. Some problems (e. g. cancellation) make an efficient implementation difficult, solutions are given.

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