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
Jul 6, 2023
May 17, 2023
103
https://zbc.uz.zgora.pl/publication/81686
Edition name | Date |
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Residual error based adaptive method with an optimal variable scaling parameter for RBF interpolation | Jul 6, 2023 |
Skubalska-Rafajłowicz, Ewa Korbicz, Józef (1951- ) - ed. Sauter, Dominique - ed.
Ahmida, Zahir Charef, Abdelfettah Becerra, Victor M. Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.