IMECH-IR  > 力学所知识产出(1956-2008)
 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 Title The 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 Volume 53Issue:6Pages:1699-1703 ISSN 1000-3290 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 Abstract The 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 By SCI ; CSCD Language 中文 WOS ID WOS:000221946200017 Funding Organization 国家自然科学基金 (批准号 :1990 2 0 0 2 ) CSCD ID CSCD:1811199 Citation statistics Cited Times:1[CSCD]   [CSCD Record] Document Type 期刊论文 Identifier http://dspace.imech.ac.cn/handle/311007/42406 Collection 力学所知识产出(1956-2008) Corresponding Author 唐晨 Recommended CitationGB/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.