Approximation of Bivariate Functions by Generalized Wendland Radial Basis Functions

In this work, we deal with two approximation problems in a finite-dimensional generalized Wendland space of compactly supported radial basis functions. Namely, we present an interpolation method and a smoothing variational method in this space. Next, the theory of the presented method is justified b...

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Vydáno v:Mathematics (Basel) Ročník 12; číslo 16; s. 2597
Hlavní autoři: Kouibia, Abdelouahed, González, Pedro, Pasadas, Miguel, Mustafa, Bassim, Yakhlef, Hossain Oulad, Omri, Loubna
Médium: Journal Article
Jazyk:angličtina
Vydáno: Basel MDPI AG 01.08.2024
Témata:
Approximation
Bivariate analysis
Datasets
generalized Wendland radial basis functions
interpolation
Partial differential equations
Radial basis function
radial basis functions
smoothing
variational methods
ISSN:2227-7390, 2227-7390
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Shrnutí:In this work, we deal with two approximation problems in a finite-dimensional generalized Wendland space of compactly supported radial basis functions. Namely, we present an interpolation method and a smoothing variational method in this space. Next, the theory of the presented method is justified by proving the corresponding convergence result. Likewise, to illustrate this method, some graphical and numerical examples are presented in R2, and a comparison with another work is analyzed.
Bibliografie:ObjectType-Article-1
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ISSN:2227-7390
2227-7390
DOI:10.3390/math12162597