학술논문

Numerical cubature on scattered data by adaptive interpolation
Document Type
Working Paper
Source
Subject
Mathematics - Numerical Analysis
65D05, 65D32
Language
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.