Work

Numerical derivation of multivariate functions

Year: 2024

Type: article

Abstract: We consider the problem of the numerical derivation of a function of several real variables. The proposed numerical method is based on the singular value expansion of the integral formulation of the derivative problem generalised to the multivariate case. The resulting derivation method is able to compute the partial derivatives of a multivariate function sampled at points in general position. The accuracy of the proposed method is analysed and confirmed by numerical tests performed for different distributions of the sampling points.

Source: Applied Numerical Mathematics

DOI: 10.1016/j.apnum.2024.12.011

Authors: Nadaniela Egidi, Josephin Giacomini, Pierluigi Maponi

Institution: Università di Camerino

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $1,560

Funders: European Commission, Faculty of Science and Engineering, University of Manchester