Cubature rules with positive weights on union of disks
Title | Cubature rules with positive weights on union of disks |
Publication Type | Journal Article |
Year of Publication | 2022 |
Authors | Sommariva, A, Vianello, M |
Journal | Dolomites Research Notes on Approximation |
Volume | 15 |
Issue | 4 |
Pagination | 73-81 |
Date Published | 12/2022 |
Publisher | Padova University Press |
Place Published | Padova, IT |
ISSN Number | 2035-6803 |
Abstract | In this work we present a new algorithm that computes cubature formulas with positive weights, interior nodes and fixed algebraic degree of precision, over domains Ω that are arbitrary union of disks. This novel approach first determines the boundary ∂ Ω and then defines a decomposition of Ω by means of nonoverlapping circular segments and polygons, where algebraic positive interior rules can be locally constructed. The resulting global Positive Interior (PI) formula is finally compressed by Caratheodory- Tchakaloff subsampling implemented via NonNegative Least-Squares. |
URL | https://drna.padovauniversitypress.it/2022/4/7 |
DOI | 10.14658/pupj-drna-2022-4-7 |