CQMC: an improved code for low-dimensional Compressed Quasi-MonteCarlo cubature

TitleCQMC: an improved code for low-dimensional Compressed Quasi-MonteCarlo cubature
Publication TypeJournal Article
Year of Publication2022
AuthorsElefante, G, Sommariva, A, Vianello, M
JournalDolomites Research Notes on Approximation
Volume15
Issue2
Pagination92-100
Date Published10/2022
PublisherPadova Univeristy Press
Place PublishedPadova
ISSN Number2035-6803
Abstract

An improved version of Compressed Quasi-MonteCarlo cubature (CQMC) on large low-discrepancy samples is implemented, on 2D and 3D regions with complex shape. The algorithms rests on the concept of Tchakaloff set and on NNLS solution of a sequence of “small” moment-matching systems. Examples of area and volume integration are provided.

URLhttp://drna.padovauniversitypress.it/2022/2/8
DOI10.14658/pupj-drna-2022-2-8