Work

Progressive iterative Schoenberg-Marsden variation diminishing operator and related quadratures

Year: 2024

Type: article

Abstract: In this paper we propose an approximation method based on the classical Schoenberg-Marsden variation diminishing operator with applications to the construction of new quadrature rules. We compare the new operator with the multilevel one studied in [E. Fornaca, P. Lamberti: Multilevel Schoenberg-Marsden variation diminishing operator and related quadratures, J. Comput. Appl. Math., 445 (2024), Article 115804, 10.1016/j.cam.2024.115804] in order to characterize both of them with respect to the well known classical one. We discuss convergence properties and present numerical experiments.

Source: Applied Numerical Mathematics

DOI: 10.1016/j.apnum.2024.08.014

Authors: Elena Fornaca, Paola Lamberti

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: Istituto Nazionale di Alta Matematica "Francesco Severi", Gruppo Nazionale per il Calcolo Scientifico

OpenAlex ID: W4401817762