Spectral and finite difference solutions of the Burgers equations
type: Item
instance of: scholarly article
title: Spectral and finite difference solutions of the Burgers equations
zbMATH Open document ID: 0612.76031
DOI: 10.1016/0045-7930(86)90036-8
author: J. M. Lacroix
author: Anthony T. Patera
author: Claude Basdevant
author: Michel O. Deville
author: Pierre Haldenwang
author: Jalil Ouazzani
author: R. Peyret
author: P. Orlandi
published in: Computers and Fluids
publication date: 1986-01-01T00:00:00Z
review text: This is a report of the results by the authors who simultaneously attempted to investigate the accuracy of the spectral method applied to problems admitting solutions with rapid variation. As a test problem nonlinear Burgers equation with a very small viscosity is discussed. Spectral methods are found well suited to the calculation of thin inner layers. The accuracy in the sharp region is acceptable under certain conditions whereas standard numerical schemes such as finite differences suffer from numerical dispersion.
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35Q99
zbMATH DE Number: 3991098
zbMATH Keywords: accuracy
zbMATH Keywords: spectral method
zbMATH Keywords: solutions with rapid variation
zbMATH Keywords: nonlinear Burgers equation
zbMATH Keywords: small viscosity
zbMATH Keywords: thin inner layers
zbMATH Keywords: numerical dispersion
MaRDI profile type: Publication
full work available at URL: 0045-7930(86)90036-8
OpenAlex ID: W2027355161
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description: scientific article; zbMATH DE number 3991098