A Rescaled Method for RBF Approximation

DOI10.1007/978-3-319-59912-0_3zbMath1385.65017arXiv1611.10034OpenAlexW2559189243MaRDI QIDQ4609796

Andrea Idda, Stefano De Marchi, Gabriele Santin

Publication date: 26 March 2018

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.10034

zbMATH Keywords

Lebesgue constantradial basis functions (RBF)partition of unit methodrescaled interpolation

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Numerical interpolation (65D05)

Related Items (7)

A data-driven high order sub-cell artificial viscosity for the discontinuous Galerkin spectral element method ⋮ Partition of unity interpolation using stable kernel-based techniques ⋮ Unconditional convergence of iterative approximation methods ⋮ Fast and stable rational RBF-based partition of unity interpolation ⋮ A rational radial basis function method for accurately resolving discontinuities and steep gradients ⋮ RBF-based partition of unity methods for elliptic PDEs: adaptivity and stability issues via variably scaled kernels ⋮ On the convergence of the rescaled localized radial basis function method

Uses Software

• Matlab
• GaussQR

Cites Work

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• Efficient computation of partition of unity interpolants through a block-based searching technique
• Kernel-based Approximation Methods using MATLAB
• Local error estimates for radial basis function interpolation of scattered data
• Radial Basis Functions
• A Rescaled Localized Radial Basis Function Interpolation on Non-Cartesian and Nonconforming Grids
• Theory of Reproducing Kernels

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