@misc{Veni_Krishna_G._Residual, author={Veni, Krishna G. and Satyanarayana, Chirala and Krishareddy, Chenna M.}, howpublished={online}, publisher={Zielona Góra: Uniwersytet Zielonogórski}, language={eng}, 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.}, abstract={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.}, type={artykuł}, title={Residual error based adaptive method with an optimal variable scaling parameter for RBF interpolation}, keywords={radial basis functions, adaptive residual subsampling, optimal shape parameter}, }