Year: 2021
Type: preprint
Abstract: We discuss a pointwise numerical differentiation formula on multivariate scattered data, based on the coefficients of local polynomial interpolation at Discrete Leja Points, written in Taylor's formula monomial basis. Error bounds for the approximation of partial derivatives of any order compatible with the function regularity are provided, as well as sensitivity estimates to functional perturbations, in terms of the inverse Vandermonde coefficients that are active in the differentiation process. Several numerical tests are presented showing the accuracy of the approximation.
Source: arXiv (Cornell University)
Authors: Dell'Accio, Francesco, Di Tommaso, F., Siar, N., Vianello, M.
Institutions: University of Padua, Université Ibn-Tofail, University of Calabria
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3163552834