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

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

Vianello M., Di Tommaso F., Dell'Accio F., Siar N. (2022) "DISC: an adaptive numerical Differentiator by local polynomial Interpolation on multivariate SCattered data " Dolomites Research Notes on Approximation, 15(2), 81-91. DOI: 10.14658/PUPJ-DRNA-2022-2-7  
Year of Publication
2022
Journal
Dolomites Research Notes on Approximation
Volume
15
Issue Number
2
Start Page
81
Last Page
91
Date Published
10/2022
ISSN Number
2035-6803
Serial Article Number
7
DOI
10.14658/PUPJ-DRNA-2022-2-7
Issue
Section
SpecialIssue