Meshless cubature over the disk using thin-plate splines

DOI10.1016/j.cam.2007.10.023zbMath1152.65040OpenAlexW1965011885MaRDI QIDQ950192

Alessandro Punzi, Marco Vianello, Alvise Sommariva

Publication date: 22 October 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2007.10.023

zbMATH Keywords

disknumerical examplesscattered dataGreen's formulathin-plate splines

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (5)

Towards stability results for global radial basis function based quadrature formulas ⋮ Radial basis function neural network based on an improved exponential decreasing inertia weight-particle swarm optimization algorithm for AQI prediction ⋮ Numerical integration on multivariate scattered data by Lobachevsky splines ⋮ A meshless like method for the approximate solution of integral equations over polygons ⋮ A new radial basis integration method applied to the boundary element analysis of 2D scalar wave equations

Uses Software

• Matlab
• GreenDisk

Cites Work

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• Numerical cubature on scattered data by radial basis functions
• Meshless cubature by Green's formula
• Multiresolution methods in scattered data modelling.
• Error estimates and condition numbers for radial basis function interpolation
• Special issue: Numerical evaluation of integrals
• Fast construction of the Fejér and Clenshaw-Curtis quadrature rules
• Is Gauss Quadrature Better than Clenshaw–Curtis?
• Scattered Data Approximation

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