On the equivalence between basis recombination and boundary bordering formulations for spectral collocation methods in rectangular domains
type: Item
instance of: scholarly article
title: On the equivalence between basis recombination and boundary bordering formulations for spectral collocation methods in rectangular domains
zbMATH Open document ID: 0809.65108
DOI: 10.1016/0378-4754(93)90070-B
author: A. Karageorghis
published in: Mathematics and Computers in Simulation
publication date: 1994-09-25T00:00:00Z
review text: The author considers the solution of (second- or fourth-order) boundary value problems by a collocation method with shifted Chebyshev polynomials and establishes the algebraic equivalence of the two systems obtained by either collocating also on the boundary (at Gauss points), or by recombining the polynomials to meet directly the homogeneous Dirichlet boundary data.
reviewed by: Gisbert Stoyan
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35J40
zbMATH DE Number: 643644
zbMATH Keywords: spectral method
zbMATH Keywords: second-order equations
zbMATH Keywords: fourth-order equations
zbMATH Keywords: equivalent algebraic systems
zbMATH Keywords: collocation
zbMATH Keywords: shifted Chebyshev polynomials
MaRDI profile type: Publication
cites work: Q3993205
cites work: Q4039908
cites work: Q5533821
cites work: Spectral Calculations of One-Dimensional Inviscid Compressible Flows
cites work: A note on the satisfaction of the boundary conditions for Chebyshev collocation methods in rectangular domains
full work available at URL: 0378-4754(93)90070-b
OpenAlex ID: W2084340895
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description: scientific article; zbMATH DE number 643644