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arXiv:2307.07203 [math.NA]AbstractReferencesReviewsResources

Numerical cubature on scattered data by adaptive interpolation

R. Cavoretto, F. Dell'Accio, A. De Rossi, F. Di Tommaso, N. Siar, A. Sommariva, M. Vianello

Published 2023-07-14Version 1

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.

Categories: math.NA, cs.NA
Subjects: 65D05, 65D32
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