Stability analysis of high order phase fitted variational integrators
Kosmas O, Leyendecker S (2014)
Publication Language: English
Publication Type: Conference contribution, Conference Contribution
Publication year: 2014
Publisher: International Center for Numerical Methods in Engineering
Edited Volumes: 11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014
Pages Range: DVD
Conference Proceedings Title: Proceedings of WCCM XI - ECCM V - ECFD VI
Event location: Spain
Abstract
The linear stability properties of higher order variational integration methods that use phase lag technique are investigated. Towards this purpose, at first we calculate the eigenvalues of the amplification matrix for each method. Phase fitted integrators are derived specifically for the numerical integration of systems with oscillatory solutions. A linear stability analysis shows their good behavior, when simulating these problems. Finally, we test the proposed methods in numerical examples, first with regard to their stability and secondly the behavior in long term integration is illustrated.
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APA:
Kosmas, O., & Leyendecker, S. (2014). Stability analysis of high order phase fitted variational integrators. In Proceedings of WCCM XI - ECCM V - ECFD VI (pp. DVD). Spain, ES: International Center for Numerical Methods in Engineering.
MLA:
Kosmas, Odysseas, and Sigrid Leyendecker. "Stability analysis of high order phase fitted variational integrators." Proceedings of the Proceedings of WCCM XI - ECCM V - ECFD VI, Spain International Center for Numerical Methods in Engineering, 2014. DVD.
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