Creator:
Veni, Krishna G. ; Satyanarayana, Chirala ; Krishareddy, Chenna M.
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Subject and Keywords:
radial basis functions ; adaptive residual subsampling ; optimal shape parameter
Abstract:
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.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
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Source:
IJAME, volume 28, number 1 (2023)