Evaluation of Chebyshev pseudospectral methods for third order differential equations
type: Item
instance of: scholarly article
title: Evaluation of Chebyshev pseudospectral methods for third order differential equations
zbMATH Open document ID: 0895.65046
DOI: 10.1023/A:1019199416310
author: Yi Su
author: R. A. Renaut
published in: Numerical Algorithms
publication date: 1998-09-21T00:00:00Z
review text: The problem of very large condition numbers of the differentiation matrix of standard Chebyshev collocation for third-order problems with Neumann boundary conditions is addressed. The authors show by proper mapping techniques and implementation of the boundary conditions that a condition number of well below \({\mathcal O} ({\mathcal N}^4)\) can be achieved. Numerical tests are provided to verify the given analysis.
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65F35
Mathematics Subject Classification ID: 35K25
zbMATH DE Number: 1146020
zbMATH Keywords: Chebyshev pseudospectral methods
zbMATH Keywords: third-order differential equations
zbMATH Keywords: numerical tests
zbMATH Keywords: very large condition numbers
zbMATH Keywords: differentiation matrix
zbMATH Keywords: Chebyshev collocation
zbMATH Keywords: Neumann boundary conditions
reviewed by: Thomas Sonar
MaRDI profile type: Publication
full work available at URL: a:1019199416310
OpenAlex ID: W196356609
description: scientific article; zbMATH DE number 1146020