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A matrix decomposition RBF algorithm: Approximation of functions and their derivatives

dc.contributor.authorKarageorghis, Andreasen
dc.contributor.authorChen, C. S.en
dc.contributor.authorSmyrlis, Yiorgos-Sokratisen
dc.creatorKarageorghis, Andreasen
dc.creatorChen, C. S.en
dc.creatorSmyrlis, Yiorgos-Sokratisen
dc.date.accessioned2019-12-02T10:36:01Z
dc.date.available2019-12-02T10:36:01Z
dc.date.issued2007
dc.identifier.urihttp://gnosis.library.ucy.ac.cy/handle/7/57040
dc.description.abstractWe propose an efficient algorithm for the approximation of functions and their derivatives using radial basis functions (RBFs). The interpolation points are placed on concentric circles and the resulting matrix has a block circulant structure. We exploit this circulant structure to develop an efficient algorithm for the solution of the resulting system using RBFs. As a result, extremely high accuracy in approximating the given function and its derivatives can be achieved. The given algorithm is also capable of solving large-scale problems with more than 100 000 interpolation points in two dimensions. © 2006 IMACS.en
dc.sourceApplied Numerical Mathematicsen
dc.source.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-33846783143&doi=10.1016%2fj.apnum.2006.03.028&partnerID=40&md5=19de1827d269d9d8481021776704cc4a
dc.subjectProblem solvingen
dc.subjectAlgorithmsen
dc.subjectRadial basis functionsen
dc.subjectApproximation theoryen
dc.subjectFunctionsen
dc.subjectInterpolationen
dc.subjectElliptic boundary value problemsen
dc.subjectCirculant matricesen
dc.subjectRadial basis function networksen
dc.subjectBlock circulant structuresen
dc.subjectBoundary meshless methodsen
dc.subjectRadial basis functions (RBF)en
dc.titleA matrix decomposition RBF algorithm: Approximation of functions and their derivativesen
dc.typeinfo:eu-repo/semantics/article
dc.identifier.doi10.1016/j.apnum.2006.03.028
dc.description.volume57
dc.description.issue3
dc.description.startingpage304
dc.description.endingpage319
dc.author.facultyΣχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences
dc.author.departmentΤμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics
dc.type.uhtypeArticleen
dc.description.notes<p>Cited By :20</p>en
dc.source.abbreviationAppl Numer Mathen
dc.contributor.orcidKarageorghis, Andreas [0000-0002-8399-6880]
dc.contributor.orcidSmyrlis, Yiorgos-Sokratis [0000-0001-9126-2441]
dc.gnosis.orcid0000-0002-8399-6880|0000-0001-9126-2441


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