Numerical cubature on scattered data by radial basis functions

DOI10.1007/s00607-005-0142-2zbMath1091.65026OpenAlexW2143772913MaRDI QIDQ817038

Alvise Sommariva, Marco Vianello

Publication date: 2 March 2006

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-005-0142-2

zbMATH Keywords

numerical integrationradial basis functionsscattered datacubature formulasthin-plate splines

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items

Meshless cubature by Green's formula, Towards stability results for global radial basis function based quadrature formulas, Fully Symmetric Kernel Quadrature, Meshless cubature over the disk using thin-plate splines, RBF moment computation and meshless cubature on general polygonal regions, Numerical integration on multivariate scattered data by Lobachevsky splines, Gaussian kernel quadrature at scaled Gauss-Hermite nodes, Product Gauss cubature over polygons based on Green's integration formula, Convergence analysis of deterministic kernel-based quadrature rules in misspecified settings, Compressed algebraic cubature over polygons with applications to optical design, Optimal Monte Carlo integration on closed manifolds, Symmetry exploits for Bayesian cubature methods, On the positivity and magnitudes of Bayesian quadrature weights, Probabilistic integration: a role in statistical computation?, Sampling based approximation of linear functionals in reproducing kernel Hilbert spaces

Uses Software

• Matlab

Cites Work

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• Eigenvalues of euclidean distance matrices
• Adaptive quadrature -- Revisited
• Multistep scattered data interpolation using compactly supported radial basis functions
• Error estimates and condition numbers for radial basis function interpolation
• Special issue: Numerical evaluation of integrals
• Stable integration rules with scattered integration points
• An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
• A volumetric integral radial basis function method for time-dependent partial differential equations. I. Formulation
• Norms of inverses and condition numbers for matrices associated with scattered data
• Fast Solution of the Radial Basis Function Interpolation Equations: Domain Decomposition Methods
• Performance evaluation of programs for the error and complementary error functions
• Scattered Data Approximation