A New Family of Multistep Methods with Improved Phase Lag
Characteristics for the Integration of Orbital Problems
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by
D. S. Vlachos,
Z. A. Anastassi,
T. E. Simos
2008
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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0807.2941v1
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