The sharpness of kuznetsov's o(√∆x) l1-error estimate for monotone difference schemes

doi:10.1090/S0025-5718-1995-1270625-9

科研成果详情

发表状态	已发表Published
题名	The sharpness of kuznetsov's o(√∆x) l1-error estimate for monotone difference schemes
作者	Tang, Tao1 ; Teng, Zhenhuan 2
发表日期	1995
发表期刊	Mathematics of Computation
ISSN/eISSN	0025-5718
卷号	64 期号:210 页码:581-589
摘要	We derive a lower error bound for monotone difference schemes to the solution of the linear advection equation with BV initial data. A rigorous analysis shows that for any monotone difference scheme the lower L1 error bound is O(√∆x), where ∆x is the spatial stepsize. © 1995 American Mathematical Society.
关键词	Error estimate Lower error bound Monotone difference scheme
DOI	10.1090/S0025-5718-1995-1270625-9
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:A1995QU15200007
Scopus入藏号	2-s2.0-84968519569
引用统计	被引频次：62[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/2117
专题	个人在本单位外知识产出
作者单位	1.Department of Mathematics and Statistics, Simon Fraser University, Burnaby, BC, V5A1S6, Canada 2.Department of Mathematics, Peking University, Beijing, 100871, China
推荐引用方式 GB/T 7714	Tang, Tao,Teng, Zhenhuan. The sharpness of kuznetsov's o(√∆x) l1-error estimate for monotone difference schemes[J]. Mathematics of Computation, 1995, 64(210): 581-589.
APA	Tang, Tao, & Teng, Zhenhuan. (1995). The sharpness of kuznetsov's o(√∆x) l1-error estimate for monotone difference schemes. Mathematics of Computation, 64(210), 581-589.
MLA	Tang, Tao,et al."The sharpness of kuznetsov's o(√∆x) l1-error estimate for monotone difference schemes". Mathematics of Computation 64.210(1995): 581-589.