Long Time Energy and Kinetic Energy Conservations of Exponential Integrators for Highly Oscillatory Conservative Systems

IF 1.9 4区数学 Q1 MATHEMATICS

Numerical Mathematics-Theory Methods and Applications Pub Date : 2022-06-01 DOI:10.4208/nmtma.oa-2021-0181

Ting Li, Changying Liu, Bin Wang

引用次数: 1

Abstract

In this paper, we investigate the long-time near-conservations of energy and kinetic energy by the widely used exponential integrators to highly oscillatory conservative systems. The modulated Fourier expansions of two kinds of exponential integrators have been constructed and the long-time numerical conservations of energy and kinetic energy are obtained by deriving two almost-invariants of the expansions. Practical examples of the methods are given and the theoretical results are confirmed and demonstrated by a numerical experiment. AMS subject classifications: 65P10, 65L05

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高振荡守恒系统指数积分器的长时间能量守恒和动能守恒

本文利用指数积分器研究了高振荡保守系统能量和动能的长时间近守恒。构造了两类指数积分器的调制傅里叶展开式，通过推导展开式的两个几乎不变量，得到了能量和动能的长时间数值守恒。给出了方法的实例，并通过数值实验对理论结果进行了验证和验证。AMS学科分类:65P10, 65L05

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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来源期刊

Numerical Mathematics-Theory Methods and Applications 数学-数学

CiteScore

2.80

自引率

7.70%

发文量

审稿时长

>12 weeks

期刊介绍： Numerical Mathematics: Theory, Methods and Applications (NM-TMA) publishes high-quality original research papers on the construction, analysis and application of numerical methods for solving scientific and engineering problems. Important research and expository papers devoted to the numerical solution of mathematical equations arising in all areas of science and technology are expected. The journal originates from the journal Numerical Mathematics: A Journal of Chinese Universities (English Edition). NM-TMA is a refereed international journal sponsored by Nanjing University and the Ministry of Education of China. As an international journal, NM-TMA is published in a timely fashion in printed and electronic forms.