Asymptotic analysis of spectral methods
type: Item
instance of: scholarly article
title: Asymptotic analysis of spectral methods
zbMATH Open document ID: 0666.65079
DOI: 10.1007/BF01061510
author: Moshe Dubiner
published in: Journal of Scientific Computing
publication date: 1987-01-01T00:00:00Z
review text: A detailed asymptotic analysis of spectral methods for prototype problems is presented. Asymptotic error behavior throughout the solution regime is given. A number of surprising results are presented, including the O(N) boundedness of the eigenvalues of collocation on Legendre points.
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 4090735
zbMATH Keywords: Laplace equation
zbMATH Keywords: spectral methods
zbMATH Keywords: Asymptotic error behavior
zbMATH Keywords: collocation
zbMATH Keywords: Legendre points
MaRDI profile type: Publication
cites work: The Stability of Pseudospectral-Chebyshev Methods
cites work: Q4199478
cites work: Q3846497
description: scientific article; zbMATH DE number 4090735