Cell averaging Chebyshev methods for hyperbolic problems
type: Item
instance of: scholarly article
title: Cell averaging Chebyshev methods for hyperbolic problems
zbMATH Open document ID: 0764.65056
DOI: 10.1016/0898-1221(92)90039-K
author: Wei Cai
author: D. Gottlieb
author: Amiram Harten
publication date: 1993-02-11T00:00:00Z
review text: A new spectral technique based on a cell averaged form of the equations is presented. Formulas for transforming between pointwise data at the collocation points and cell averaged quantities and vice versa are constructed. The stability of the methods is discussed for linear problems, and its applicability to nonlinear systems of equations is demonstrated by simulating the shock problem.
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35L15
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35L67
zbMATH DE Number: 109014
zbMATH Keywords: cell averaging Chebyshev methods
zbMATH Keywords: spectral method
zbMATH Keywords: collocation
zbMATH Keywords: stability
zbMATH Keywords: linear problems
zbMATH Keywords: nonlinear systems
zbMATH Keywords: shock problem
MaRDI profile type: Publication
cites work: Essentially Nonoscillatory Spectral Fourier Method for Shocks Wave Calculations
cites work: Q3678611
cites work: A New Method of Imposing Boundary Conditions in Pseudospectral Approximations of Hyperbolic Equations
cites work: Convergence of Generalized MUSCL Schemes
cites work: Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
full work available at URL: 0898-1221(92)90039-k
OpenAlex ID: W2007346377
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 109014