@misc{10481/92709,
year = {2024},
month = {4},
url = {https://hdl.handle.net/10481/92709},
abstract = {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.},
organization = {Spanish MINECO project PID2020-117211GB-I00},
organization = {GVA project
CIAICO/2021/227},
organization = {Project PID2022-139586NB-44 funded by
MCIN/AEI/10.13039/501100011033 and by European Union NextGenerationEU/PRTR},
organization = {Project QUAL21-011 (Modeling Nature) of the Consejería de Universidad, Investigación e Innovación of the Junta de
Andalucía, Spain},
organization = {INdAM Research group GNCS of Italy},
organization = {MUR Excellence
Department Project awarded to the Department of Mathematics, University of Rome Tor Vergata, CUP E83C23000330006},
organization = {Funding for open access charge: Universidad de Granada / CBUA},
publisher = {Elsevier},
keywords = {Bernstein–Bézier representation},
keywords = {Quasi-interpolation},
keywords = {WENO},
title = {Non-uniform WENO-based quasi-interpolating splines from the Bernstein–Bézier representation and applications},
doi = {10.1016/j.matcom.2024.04.006},
author = {Aràndiga, F. and Barrera Rosillo, Domingo and Eddargani, Salah and Ibáñez Pérez, María José and Roldán Aranda, Juan Bautista},
}