Fast Fourier transform solvers and preconditioners for quadratic spline collocation
type: Item
instance of: scholarly article
title: Fast Fourier transform solvers and preconditioners for quadratic spline collocation
zbMATH Open document ID: 1016.65092
DOI: 10.1023/A:1021944218806
author: Christina C. Christara
author: Kit Sun Ng
published in: BIT
publication date: 2003-07-28T00:00:00Z
review text: The authors prove some new results concerning the approximation errors for the quadratic spline collocation (QSC) operator. They also consider the eigenvalues and the eigenvectors for a model of QSC eigenvalue problem. Five particular problems corresponding to partial differential equations and systems are analysed in order to underline the effectiveness of the solvers and of the preconditioners. However, the implemented algorithms seem to have a high degree of parallelism.
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 65T50
Mathematics Subject Classification ID: 65Y05
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 35P15
Mathematics Subject Classification ID: 65N25
Mathematics Subject Classification ID: 65F35
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 1876908
zbMATH Keywords: spline collocation
zbMATH Keywords: elliptic boundary value problems
zbMATH Keywords: eigenvalue problems
zbMATH Keywords: fast Fourier transform
zbMATH Keywords: iterative solver
zbMATH Keywords: scale Laplace preconditioner
zbMATH Keywords: systems of elliptic PDEs
zbMATH Keywords: parallel computation
reviewed by: Calin Ioan Gheorghiu
MaRDI profile type: Publication
full work available at URL: a:1021944218806
OpenAlex ID: W1545311513
description: scientific article; zbMATH DE number 1876908