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

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

2008-07-18

arxiv.org/abs/0807.2941v1

Mathematics

Numerical Analysis

21 pages, 3 figures, 1 table

Scientific paper

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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