We construct cubature methods on scattered data via resampling on the support of known algebraic cubature formulas, by different kinds of adaptive interpolation (polynomial, RBF, PUM). This approach gives a promising alternative to other recent methods, such as direct meshless cubature by RBF or least-squares cubature formulas.

Numerical cubature on scattered data by adaptive interpolation

Cavoretto R.;De Rossi A.;Di Tommaso F.;Vianello M.
2024-01-01

Abstract

We construct cubature methods on scattered data via resampling on the support of known algebraic cubature formulas, by different kinds of adaptive interpolation (polynomial, RBF, PUM). This approach gives a promising alternative to other recent methods, such as direct meshless cubature by RBF or least-squares cubature formulas.
2024
444
1
12
https://www.researchgate.net/publication/372344695_Numerical_cubature_on_scattered_data_by_adaptive_interpolation
Adaptive interpolation; Multinode Shepard method; Numerical cubature; PUM; RBF; Scattered data
Cavoretto R.; De Rossi A.; Dell'Accio F.; Di Tommaso F.; Siar N.; Sommariva A.; Vianello M.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1965651
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