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任意阶隐式指数时程差分多步法及其在非线性系统中的应用
Alternative TitleThe arbitrary order implicit multistep exponential time differencing method and its application for nonlinear systems
唐晨; 闫海青; 张皞; 刘铭; 张桂敏
Source Publication物理学报
2004-06-12
Volume53Issue:6Pages:1699-1703
ISSN1000-3290
Abstract对非线性系统提出了任意阶隐式指数时程差分多步法 ,实现了任意阶次指数时程差分预测 校正算法 .发展完善了指数时程差分法 .将新算法应用于非线性系统 ,取得了较好的效果 .数值结果表明隐式指数时程差分多步法很好地修正了显式指数时程差分多步法 ,隐式指数时程差分多步法是一种高精度、高效率的方法
Other AbstractThe arbitrary order implicit exponential time differencing multistep method is proposed for nonlinear systems. We carry out the predictor-corrector method of exponential time differencing. When the method is applied to the nonlinear systems, the effect is admirable. The numerical results show that. the accuracy of explicit exponential time differencing multistep method can be enhanced by implicit exponential time differencing multistep method, and the lather is highly accurate and computationally efficient. The exponential time differencing method has been developen and perfected by the present studies.
Keyword非线性系统 混沌 任意阶隐式指数时程差分多步法 Nonlinear Systems The Arbitrary Order Implicit Exponential Time Differencing Multistep Method Chaos
Indexed BySCI ; CSCD
Language中文
WOS IDWOS:000221946200017
Funding Organization国家自然科学基金 (批准号 :1990 2 0 0 2 )
CSCD IDCSCD:1811199
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Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/42406
Collection力学所知识产出(1956-2008)
Corresponding Author唐晨
Recommended Citation
GB/T 7714
唐晨,闫海青,张皞,等. 任意阶隐式指数时程差分多步法及其在非线性系统中的应用[J]. 物理学报,2004,53(6):1699-1703.
APA 唐晨,闫海青,张皞,刘铭,&张桂敏.(2004).任意阶隐式指数时程差分多步法及其在非线性系统中的应用.物理学报,53(6),1699-1703.
MLA 唐晨,et al."任意阶隐式指数时程差分多步法及其在非线性系统中的应用".物理学报 53.6(2004):1699-1703.
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