In infinitely smooth Radial Basis Function (RBF) based interpolation, the scaling parameter plays an important role to obtain an accurate and stable numerical solution. When this method is applied to interpolate a function with sharp gradients, then adaptive methods will also play a significant role in determining an optimal number of centers according to the user desired accuracy. ; In this article, we test an optimization algorithm developed using the nonlinear optimization to find a scaling parameter for RBF along with an adaptive residual subsampling method [1] RBF interpolation. In this process, at each stage of adoption, the available optimal shape parameters have been obtained by solving the system of non-linear equations.
Zielona Góra: Uniwersytet Zielonogórski
IJAME, volume 28, number 1 (2023)
Biblioteka Uniwersytetu Zielonogórskiego
2023-07-06
2023-05-17
78
https://zbc.uz.zgora.pl/publication/81686
Nazwa wydania | Data |
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Residual error based adaptive method with an optimal variable scaling parameter for RBF interpolation | 2023-07-06 |
Ahmida, Zahir Charef, Abdelfettah Becerra, Victor M. Korbicz, Józef - red. Uciński, Dariusz - red.
Skubalska-Rafajłowicz, Ewa Korbicz, Józef - ed. Sauter, Dominique - ed.