一般二阶振荡系统的扩展显式伪两步 Runge-Kutta-Nyström 方法

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-07-29 DOI:10.1007/s11075-024-01896-8

Yonglei Fang, Changying Liu, Xiong You

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引用次数: 0

摘要

本文讨论了用于一般二阶振荡微分系统数值积分的显式伪两步扩展 Runge-Kutta-Nyström (EPTSERKN) 方法。推导了新的显式伪两步 Runge-Kutta-Nyström (EPTSRKN) 方法和显式扩展 Runge-Kutta-Nyström (ERKN) 方法。我们给出了新方法的全局误差分析。新方法的 s 阶为 \(s+1\) 阶，有一些合适的节点。我们通过数值实验证明了新方法的效率和鲁棒性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Extended explicit Pseudo two-step Runge-Kutta-Nyström methods for general second-order oscillatory systems

Explicit pseudo two-step extended Runge-Kutta-Nyström (EPTSERKN) methods for the numerical integration of general second-order oscillatory differential systems are discussed in this paper. New explicit pseudo two-step Runge-Kutta-Nyström (EPTSRKN) methods and explicit extended Runge-Kutta-Nyström (ERKN) methods are derived. We give the global error analysis of the new methods. The s-stages new methods are of order \(s+1\) with some suitable nodes. Numerical experiments are carried out to show the efficiency and robustness of the new methods.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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