A note on the accuracy of spectral method applied to nonlinear conservation laws
type: Item
instance of: scholarly article
title: A note on the accuracy of spectral method applied to nonlinear conservation laws
zbMATH Open document ID: 0840.65103
DOI: 10.1007/BF02091780
author: Chi-Wang Shu
author: Peter S. Wong
published in: Journal of Scientific Computing
publication date: 1996-02-28T00:00:00Z
review text: The accuracy of the Fourier spectral method applied to nonlinear conservation laws is assessed through a numerical case study. The authors find out that the moments against analytic functions are not very accurate. However, the numerical solution contains accurate information which can be extracted by a Gegenbauer polynomial based post-processing.
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35L65
zbMATH DE Number: 849014
zbMATH Keywords: Gibbs phenomenon
zbMATH Keywords: Fourier spectral method
zbMATH Keywords: nonlinear conservation laws
zbMATH Keywords: numerical case study
zbMATH Keywords: moments
zbMATH Keywords: Gegenbauer polynomial based post-processing
reviewed by: Plamen Yalamov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 849014