On the eigenvalues of second-order pseudospectral differentiation operators
type: Item
instance of: scholarly article
title: On the eigenvalues of second-order pseudospectral differentiation operators
zbMATH Open document ID: 0824.65083
DOI: 10.1016/S0045-7825(94)80034-0
author: Bruno D. Welfert
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1995-06-14T00:00:00Z
review text: For the boundary value problem \(u''(x) = \lambda u(x)\), \(x \in (-1,1)\), \(u(-1) = u(1) = 0\) the Legendre spectral Galerkin method and the Legendre pseudo-spectral collocation method are compared.
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 34B05
Mathematics Subject Classification ID: 65L15
Mathematics Subject Classification ID: 34L15
zbMATH DE Number: 764284
zbMATH Keywords: eigenvalues
zbMATH Keywords: second-order pseudospectral differentiation operators
zbMATH Keywords: comparison of methods
zbMATH Keywords: Legendre spectral Galerkin method
zbMATH Keywords: Legendre pseudo-spectral collocation method
reviewed by: Miroslav Bartušek
MaRDI profile type: Publication
cites work: Q3993205
cites work: Q3735023
cites work: An introduction to the numerical analysis of spectral methods. (Transl. of report CEA-N-2278, dated 1981, of the French Atomic Energy Commission, titled `Analyse numérique des méthodes spectrales')
cites work: The Eigenvalues of Second-Order Spectral Differentiation Matrices
cites work: On the eigenvalues of second-order spectral differentiation operators
description: scientific article; zbMATH DE number 764284