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

We 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 effici...

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Vydané v:	Applied numerical mathematics Ročník 57; číslo 3; s. 304 - 319
Hlavní autori:	Karageorghis, Andreas, Chen, C.S., Smyrlis, Yiorgos-Sokratis
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Amsterdam Elsevier B.V 01.03.2007 Elsevier
Predmet:	Boundary meshless methods Circulant matrices Elliptic boundary value problems Exact sciences and technology Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Numerical approximation Numerical linear algebra Partial differential equations Radial basis functions Sciences and techniques of general use Elliptic boundary value problems Radial basis functions Boundary meshless methods Circulant matrices Function approximation Numerical approximation Radial basis function Numerical analysis Elliptic equation Boundary value problem Applied mathematics Circulant matrix Two-dimensional calculations Large scale Boundary meshless method Block matrix
ISSN:	0168-9274, 1873-5460
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