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Status已发表Published
TitleThe sharpness of kuznetsov's o(√∆x) l1-error estimate for monotone difference schemes
Creator
Date Issued1995
Source PublicationMathematics of Computation
ISSN0025-5718
Volume64Issue:210Pages:581-589
Abstract

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.

KeywordError estimate Lower error bound Monotone difference scheme
DOI10.1090/S0025-5718-1995-1270625-9
URLView source
Indexed BySCIE
Language英语English
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:A1995QU15200007
Scopus ID2-s2.0-84968519569
Citation statistics
Cited Times:62[WOS]   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
Identifierhttp://repository.uic.edu.cn/handle/39GCC9TT/2117
CollectionResearch outside affiliated institution
Affiliation
1.Department of Mathematics and Statistics, Simon Fraser University, Burnaby, BC, V5A1S6, Canada
2.Department of Mathematics, Peking University, Beijing, 100871, China
Recommended Citation
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.
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