科研成果详情

题名Accuracy enhancement using spectral postprocessing for differential equations and integral equations
作者
发表日期2009
会议名称7th International Conference on Spectral and High Order Methods
会议录名称Communications in Computational Physics
ISSN1815-2406
卷号5
期号2-4
页码779-792
会议日期JUN 18-22, 2007
会议地点Chinese Acad Sci, Beijing, China
摘要

It is demonstrated that spectral methods can be used to improve the accuracy of numerical solutions obtained by some lower order methods. More precisely, we can use spectral methods to postprocess numerical solutions of initial value differential equations. After a few number of iterations (say 3 to 4), the errors can decrease to a few orders of magnitude less. The iteration uses the Gauss-Seidel type strategy, which gives an explicit way of postprocessing. Numerical examples for ODEs, Hamiltonian system and integral equations are provided. They all indicate that the spectral processing technique can be a very useful way in improving the accuracy of the numerical solutions. In particular, for a Hamiltonian system accuracy is only one of the issues; some other conservative properties are even more important for large time simulations. The spectral postprocessing with the coarse-mesh symplectic initial guess can not only produce high accurate approximations but can also save a significant amount of computational time over the standard symplectic schemes. © 2009 Global-Science Press.

关键词Hamiltonian system Integral equations Postprocessing Rate of convergence Spectral methods
URL查看来源
收录类别SCIE
语种英语English
WOS研究方向Physics
WOS类目Physics, Mathematical
WOS记录号WOS:000263563600033
引用统计
被引频次:27[WOS]   [WOS记录]     [WOS相关记录]
文献类型会议论文
条目标识符https://repository.uic.edu.cn/handle/39GCC9TT/3547
专题个人在本单位外知识产出
作者单位
1.Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong;
2.School of Mathematics, Fudan University, Shanghai 200433, China
推荐引用方式
GB/T 7714
Tang, Tao,Xu, Xiang. Accuracy enhancement using spectral postprocessing for differential equations and integral equations[C], 2009: 779-792.
条目包含的文件
条目无相关文件。
个性服务
查看访问统计
谷歌学术
谷歌学术中相似的文章
[Tang, Tao]的文章
[Xu, Xiang]的文章
百度学术
百度学术中相似的文章
[Tang, Tao]的文章
[Xu, Xiang]的文章
必应学术
必应学术中相似的文章
[Tang, Tao]的文章
[Xu, Xiang]的文章
相关权益政策
暂无数据
收藏/分享
所有评论 (0)
暂无评论
 

除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。