Numerical cubature on scattered data by adaptive interpolation
Numerical Analysis
2023-07-17 v1 Numerical Analysis
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.
Cite
@article{arxiv.2307.07203,
title = {Numerical cubature on scattered data by adaptive interpolation},
author = {R. Cavoretto and F. Dell'Accio and A. De Rossi and F. Di Tommaso and N. Siar and A. Sommariva and M. Vianello},
journal= {arXiv preprint arXiv:2307.07203},
year = {2023}
}