Approximation with Radial Bases Functions

Joseph L. Awange (), Béla Paláncz (), Robert H. Lewis () and Lajos Völgyesi ()
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Joseph L. Awange: Curtin University, Department of Spatial Sciences, School of Earth and Planetary Sciences
Béla Paláncz: Budapest University of Technology and Economics, Department of Geodesy and Surveying, Faculty of Civil Engineering
Robert H. Lewis: Fordham University
Lajos Völgyesi: Budapest University of Technology and Economics, Department of Geodesy and Surveying, Faculty of Civil Engineering

Chapter 10 in Mathematical Geosciences, 2023, pp 355-390 from Springer

Abstract: Abstract Employing RBF as a function approximation method is introduced. Different types of RBF functions are considered and their effectiveness discussed, especially positive definite RBF. In order to use them in meshless techniques, their generic derivatives are presented. These functions can be employed as an activation function in a neural network for image compression. Examples for solution for partial differential equations and nonlinear heat transfer problems are presented.

Date: 2023
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DOI: 10.1007/978-3-030-92495-9_10

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