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arXiv · 0807.2941

A New Family of Multistep Methods with Improved Phase Lag Characteristics for the Integration of Orbital Problems

D. S. Vlachos·Z. A. Anastassi·T. E. Simos
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Abstract

In this work we introduce a new family of ten-step linear multistep methods for the integration of orbital problems. The new methods are constructed by adopting a new methodology which improves the phase lag characteristics by vanishing both the phase lag function and its first derivatives at a specific frequency. The efficiency of the new family of methods is proved via error analysis and numerical applications.

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D. S. Vlachos, Z. A. Anastassi, T. E. Simos. 2008-07-18. A New Family of Multistep Methods with Improved Phase Lag Characteristics for the Integration of Orbital Problems. https://doi.org/10.1088/0004-6256%2F138%2F1%2F86

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