Numerical cubature on scattered data by adaptive interpolation

Numerical cubature on scattered data by adaptive interpolation

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 lea...

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Veröffentlicht in:Journal of computational and applied mathematics 2024-07, Vol.444, p.115793, Article 115793
Hauptverfasser: Cavoretto, Roberto, De Rossi, Alessandra, Dell’Accio, Francesco, Di Tommaso, Filomena, Siar, Najoua, Sommariva, Alvise, Vianello, Marco
Format: Artikel
Sprache:eng
Schlagworte:
Adaptive interpolation
Multinode Shepard method
Numerical cubature
PUM
RBF
Scattered data
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Zusammenfassung: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.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2024.115793