Spline collocation differentiation matrices

doi:10.1137/S0036142994277985

科研成果详情

发表状态	已发表Published
题名	Spline collocation differentiation matrices
作者	Russell, Robert David 1; Sun, Weiwei2
发表日期	1997
发表期刊	SIAM Journal on Numerical Analysis
ISSN/eISSN	0036-1429
卷号	34 期号:6 页码:2274-2287
摘要	Spline collocation differentiation matrices arising when solving PDEs with periodic boundary conditions have block circulant structure. In this paper, we use this fact to present an eigenvalue analysis for a large class of such spline collocation differentiation matrices. We use this to discuss the stability of collocation algorithms for parabolic and hyperbolic problems and fast collocation algorithms for elliptic PDEs.
关键词	Differentiation matrices Eigenvalues analysis Spline collocation
DOI	10.1137/S0036142994277985
URL	查看来源
收录类别	SCIE
语种	英语English
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:A1997YH15700011
引用统计	被引频次：14[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://repository.uic.edu.cn/handle/39GCC9TT/3320
专题	个人在本单位外知识产出
通讯作者	Russell, Robert David
作者单位	1.Department of Mathematics, Simon Fraser University, Burnaby, BC V5A 1S6, Canada 2.Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong
推荐引用方式 GB/T 7714	Russell, Robert David,Sun, Weiwei. Spline collocation differentiation matrices[J]. SIAM Journal on Numerical Analysis, 1997, 34(6): 2274-2287.
APA	Russell, Robert David, & Sun, Weiwei. (1997). Spline collocation differentiation matrices. SIAM Journal on Numerical Analysis, 34(6), 2274-2287.
MLA	Russell, Robert David,et al."Spline collocation differentiation matrices". SIAM Journal on Numerical Analysis 34.6(1997): 2274-2287.