Adaptive radial basis function interpolation using an error indicator

DOI10.1007/s11075-017-0265-5zbMath1377.65017OpenAlexW2580730697WikidataQ59613235 ScholiaQ59613235MaRDI QIDQ1678590

Yangzhang Zhao, Jeremy Levesley, Qi Zhang

Publication date: 17 November 2017

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-017-0265-5

zbMATH Keywords

interpolationcondition numberadaptive algorithmradial basis functionfinancenumerical resulterror indicator

Mathematics Subject Classification ID

Numerical methods (including Monte Carlo methods) (91G60) Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05)

Related Items (5)

Adaptive LOOCV-based kernel methods for solving time-dependent BVPs ⋮ Energy-preserving schemes for conservative PDEs based on periodic quasi-interpolation methods ⋮ Adaptive radial basis function partition of unity interpolation: a bivariate algorithm for unstructured data ⋮ Moving mesh method for simulating high-dimensional time dependent PDEs with fast propagating shock waves ⋮ An adaptive residual sub-sampling algorithm for kernel interpolation based on maximum likelihood estimations

Cites Work

• On the sensitivity of radial basis interpolation to minimal data separation distance
• Detection of discontinuities in scattered data approximation
• Adaptive greedy techniques for approximate solution of large RBF systems
• Adaptive interpolation by scaled multiquadrics
• Grid-free adaptive semi-Lagrangian advection using radial basis functions
• Multilevel scattered data approximation by adaptive domain decomposition
• An adaptive greedy algorithm for solving large RBF collocation problems
• Error estimates and condition numbers for radial basis function interpolation
• Some studies on dual reciprocity BEM for elastodynamic analysis
• Adaptive residual subsampling methods for radial basis function interpolation and collocation problems
• Interpolation with variably scaled kernels
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