On numerical dispersion by upwind differencing
type: Item
instance of: scholarly article
title: On numerical dispersion by upwind differencing
zbMATH Open document ID: 0619.65078
DOI: 10.1016/0168-9274(86)90040-1
author: Bram van Leer
published in: Applied Numerical Mathematics
publication date: 1986-01-01T00:00:00Z
review text: It is shown that any upwind biased scheme for the linear one-dimensional convection equation for the Courant-Friedrichs-Lewy (CFL) number \(\sigma\) in the range [0,1] is free of dispersion if it is applied in one step with CFL number \(\sigma\) followed by a step with CFL number 1-\(\sigma\).
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35L45
zbMATH DE Number: 4005501
zbMATH Keywords: Courant-Friedrichs-Lewy number
zbMATH Keywords: upwind biased scheme
zbMATH Keywords: linear one- dimensional convection equation
zbMATH Keywords: dispersion
zbMATH Keywords: CFL number
MaRDI profile type: Publication
full work available at URL: 0168-9274(86)90040-1
OpenAlex ID: W2027295576
cites work: On the solution of nonlinear hyperbolic differential equations by finite differences
cites work: Difference schemes with best possible truncation error
cites work: On the construction of accurate difference schemes for hyper olic partial differential equations
cites work: A method for reducing dispersion in convective difference schemes
cites work: The numerical simulation of two-dimensional fluid flow with strong shocks
cites work: Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection
Wikidata QID: Q127295942
description: scientific article; zbMATH DE number 4005501