A New Family of Multistep Methods with Improved Phase Lag Characteristics for the Integration of Orbital Problems
For researchers solving orbital problems, this work offers a new family of methods with enhanced phase lag properties, though it is an incremental improvement over existing multistep methods.
The paper introduces a new family of ten-step linear multistep methods for orbital problems, achieving improved phase lag characteristics by vanishing the phase lag function and its first derivatives at a specific frequency. Error analysis and numerical applications demonstrate the efficiency of the methods.
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.