Numerical studies of hyperbolic IBVP with high-order finite difference operators satisfying a summation by parts rule
type: Item
instance of: scholarly article
title: Numerical studies of hyperbolic IBVP with high-order finite difference operators satisfying a summation by parts rule
zbMATH Open document ID: 0949.65091
DOI: 10.1016/S0168-9274(97)00096-2
author: Bo Strand
published in: Applied Numerical Mathematics
publication date: 2000-11-21T00:00:00Z
review text: Numerical studies of hyperbolic initial-boundary value problems (IBVPs) are presented using high-order difference operators satisfying a summation by parts rule. Two recently developed methods by \textit{M. H. Carpenter} et al. [J. Comput. Phys. 111, No. 2, 220--236 (1994; Zbl 0832.65098)] and by \textit{P. Olsson} [Math. Comput 64, No. 211, 1035--1065, Supplement S23--S26 (1995; Zbl 0828.65111); ibid. 64, No. 212, 1473--1493 (1995; Zbl 0848.65064)] are used. The numerical methods are strictly stable and have a convergence rate that agrees well with the theory of \textit{B. Gustafsson} [SIAM J. Numer. Anal. 18, 179--190 (1981; Zbl 0469.65068)].
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35L45
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 1311230
zbMATH Keywords: hyperbolic initial-boundary value problems
zbMATH Keywords: finite difference
zbMATH Keywords: summation by parts
zbMATH Keywords: stability
zbMATH Keywords: convergence
reviewed by: Plamen Yalamov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1311230