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arXiv 0807.2941math.NAcs.NA
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一种具有改进相位滞后特性的多步法新族用于轨道问题积分

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

University of Peloponnese(伯罗奔尼撒大学)

D. S. Vlachos, Z. A. Anastassi, T. E. Simos

AI总结:

提出一种十步线性多步法新族,通过使相位滞后函数及其一阶导数在特定频率为零来改善相位滞后特性,用于轨道问题积分。

摘要:

本文介绍了一种新的十步线性多步法族,用于轨道问题的积分。新方法采用一种新方法论,通过使相位滞后函数及其一阶导数在特定频率为零来改善相位滞后特性。通过误差分析和数值应用证明了新方法族的有效性。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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