THE SHARPNESS OF KUZNETSOVS O(ROOT-DELTA-X) L(1)-ERROR ESTIMATE FOR MONOTONE-DIFFERENCE SCHEMES

Authors
TANG T TENG ZH
Citation
T. Tang et Zh. Teng, THE SHARPNESS OF KUZNETSOVS O(ROOT-DELTA-X) L(1)-ERROR ESTIMATE FOR MONOTONE-DIFFERENCE SCHEMES, Mathematics of computation, 64(210), 1995, pp. 581-589
Citations number
8
Categorie Soggetti
Mathematics,Mathematics
Journal title
Mathematics of computation → ACNP
ISSN journal
00255718
Volume
64
Issue
210
Year of publication
1995
Pages
581 - 589
Database
ISI
SICI code
0025-5718(1995)64:210<581:TSOKOL>2.0.ZU;2-T
Abstract
We derive a lower error bound for monotone difference schemes to the s olution of the linear advection equation with BV initial data. A rigor ous analysis shows that for any monotone difference scheme the lower L (1)-error bound is O(root Delta x), where Delta x is the spatial steps ize.