Compressed QMC volume and surface integration on union of balls
Numerical Analysis
2023-03-03 v1 Numerical Analysis
Abstract
We discuss an algorithm for Tchakaloff-like compression of Quasi-MonteCarlo (QMC) volume/surface integration on union of balls (multibubbles). The key tools are Davis-Wilhelmsen theorem on the so-called Tchakaloff sets for positive linear functionals on polynomial spaces, and Lawson-Hanson algorithm for NNLS. We provide the corresponding Matlab package together with several examples.
Keywords
Cite
@article{arxiv.2303.01460,
title = {Compressed QMC volume and surface integration on union of balls},
author = {Giacomo Elefante and Alvise Sommariva and Marco Vianello},
journal= {arXiv preprint arXiv:2303.01460},
year = {2023}
}