Non-uniform WENO-based quasi-interpolating splines from the Bernstein–Bézier representation and applications
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Aràndiga, F.; Barrera Rosillo, Domingo; Eddargani, Salah; Ibáñez Pérez, María José; Roldán Aranda, Juan BautistaEditorial
Elsevier
Materia
Bernstein–Bézier representation Quasi-interpolation WENO
Date
2024-04-16Referencia bibliográfica
Aràndiga, F., et al. Non-uniform WENO-based quasi-interpolating splines from the Bernstein–Bézier representation and applications. Mathematics and Computers in Simulation 223 (2024) 158–170 [10.1016/j.matcom.2024.04.006]
Sponsorship
Spanish MINECO project PID2020-117211GB-I00; GVA project CIAICO/2021/227; Project PID2022-139586NB-44 funded by MCIN/AEI/10.13039/501100011033 and by European Union NextGenerationEU/PRTR; Project QUAL21-011 (Modeling Nature) of the Consejería de Universidad, Investigación e Innovación of the Junta de Andalucía, Spain; INdAM Research group GNCS of Italy; MUR Excellence Department Project awarded to the Department of Mathematics, University of Rome Tor Vergata, CUP E83C23000330006; Funding for open access charge: Universidad de Granada / CBUAAbstract
In this paper, we propose a family of C1 non-uniform cubic quasi-interpolation schemes.
The construction used here is mainly based on directly establishing the BB-coefficients by a
suitable combination of the data values. These combinations generate masks for each of the
BB-coefficients. These masks can contain free parameters, which allow us to write a quasiinterpolation
schemes defined from a large stencil as a non-negative convex combination of
others defined from sub-stencils of small sizes, which coincide with the concept of WENO, which
we will use the deal with non-smooth data, or data with jumps. We consider an application of
the proposed technique for real measured data related to memristors fabricated with hafnium
oxide as a dielectric.