Work

Numerical cubature on scattered data by adaptive interpolation

Year: 2023

Type: preprint

Abstract: We construct cubature methods on scattered data via resampling on the support of known algebraic cubature formulas, by different kinds of adaptive interpolation (polynomial, RBF, PUM). This approach gives a promising alternative to other recent methods, such as direct meshless cubature by RBF or least-squares cubature formulas.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2307.07203

Authors: Cavoretto, R., Dell'Accio, F., De Rossi, A., Di Tommaso, F., Siar, N., Sommariva, A., Vianello, M.

Institutions: University of Turin, Université Moulay Ismail de Meknes, University of Padua

Language: English

Topic: Numerical methods in engineering

Subfield: Mechanics of Materials

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Università degli Studi di Padova, Gruppo Nazionale per il Calcolo Scientifico

OpenAlex ID: W4384615678

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Cited by: 1

Related to: 10