Some New n -Point Ternary Subdivision Schemes without the Gibbs Phenomenon

Sofiane Zouaoui, Sergio Amat, Sonia Busquier and José Legaz Mª
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Sofiane Zouaoui: Ecole Supérieure des Sciences Appliquées-Alger and Laboratory of EDPNL & HM of ENS Kouba, Algiers 16001, Algeria
Sergio Amat: Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, 30202 Cartagena, Spain
Sonia Busquier: Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, 30202 Cartagena, Spain
José Legaz Mª: Departamento de Física Aplicada y Tecnología Naval, Universidad Politécnica de Cartagena, 30202 Cartagena, Spain

Mathematics, 2022, vol. 10, issue 15, 1-22

Abstract: This paper is devoted to the construction and analysis of some new families of n -point ternary subdivision schemes. Some members of the families were adapted to the presence of discontinuities converging to limit functions without Gibbs oscillations. We present a numerical comparison where we check the theoretical properties.

Keywords: subdivision; ternary; Laurent polynomial; convergence; reproduction polynomials; discontinuities; Gibbs phenomenon (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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