The numerical behavior of high-order finite difference methods
type: Item
instance of: scholarly article
title: The numerical behavior of high-order finite difference methods
zbMATH Open document ID: 0822.76062
DOI: 10.1007/BF01575102
author: Pelle Olsson
published in: Journal of Scientific Computing
publication date: 1995-06-08T00:00:00Z
review text: We investigate the numerical behavior of a fourth-order accurate method. The results are compared with those of a second-order method. We have verified the rate of convergence for the numerical solution. As test cases the simple hyperbolic model equation \(u_ t+ u_ x=0\) and the two-dimensional Euler equations over backward-facing step have been used.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65N06
zbMATH DE Number: 762049
zbMATH Keywords: artificial viscosity operators
zbMATH Keywords: dataparallel implementation
zbMATH Keywords: fourth-order accurate method
zbMATH Keywords: second-order method
zbMATH Keywords: convergence
zbMATH Keywords: hyperbolic model equation
zbMATH Keywords: Euler equations
zbMATH Keywords: backward-facing step
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 762049