Spatial finite difference approximations for wave-type equations

Authors
Fornberg, B Ghrist, M
Citation
B. Fornberg et M. Ghrist, Spatial finite difference approximations for wave-type equations, SIAM J NUM, 37(1), 1999, pp. 105-130
Citations number
22
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN journal
00361429 → ACNP
Volume
37
Issue
1
Year of publication
1999
Pages
105 - 130
Database
ISI
SICI code
0036-1429(199912)37:1<105:SFDAFW>2.0.ZU;2-Y
Abstract
The simplest finite difference approximations for spatial derivatives are c entered, explicit, and applied to "regular" equispaced grids. Well-establis hed generalizations include the use of implicit (compact) approximations an d staggered grids. We find here that the combination of these two concepts, together with high formal order of accuracy, is very effective for approxi mating the first derivatives in space that occur in many wave-type PDEs.