DISC: an adaptive numerical Differentiator by local polynomial Interpolation on multivariate SCattered data

TitleDISC: an adaptive numerical Differentiator by local polynomial Interpolation on multivariate SCattered data
Publication TypeJournal Article
Year of Publication2022
AuthorsDell’Accio, F, Di Tommaso, F, Siar, N, Vianello, M
JournalDolomites Research Notes on Approximation
Volume15
Issue2
Pagination81-91
Date Published10/2022
PublisherPadova Univeristy Press
Place PublishedPadova
ISSN Number2035-6803
Abstract

We present an adaptive pointwise numerical differentiator on multivariate scattered data, based on local polynomial interpolation in the Taylor basis at discrete Leja points. We also provide the corresponding Matlab code for bivariate differentiation and a demo with the computation of first and second partial derivatives of Franke’s test function

URLhttp://drna.padovauniversitypress.it/2022/2/7
DOI10.14658/pupj-drna-2022-2-7