Epoch: a Coherent P-stable Discretization Scheme for Highly Oscillatory Odes Epoch: a Coherent P -stable Discretization Scheme for Highly Oscillatory Ordinary Diierential Equations
نویسنده
چکیده
This paper presents a new discretization scheme for the ee-cient integration of highly oscillatory second-order ordinary diierential equations. The construction of the method is based on the principle of coherence due to Hersch. The analysis proves consistency, P-stability, and a phase-lag of the order 1 for the multistep formulas. The variable step size variable order multistep code EPOCH integrates eeciently and reliably problems arising from circuit simulation and mechanics. The author thanks the Bayerische Forschungsstiftung for the support by FORTWIHR: Bayerischer Forschungsverbund f ur Technisch-Wissen-schaftliches Hochleistungsrechnen. The work is part of the project 4.4 \Numerical simulation of electric circuits and semiconductor devices".
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تاریخ انتشار 1993