Non-uniform WENO-based quasi-interpolating splines from the Bernstein–Bézier representation and applications Aràndiga, F. Barrera Rosillo, Domingo Eddargani, Salah Ibáñez Pérez, María José Roldán Aranda, Juan Bautista Bernstein–Bézier representation Quasi-interpolation WENO 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. 2024-06-19T10:33:02Z 2024-06-19T10:33:02Z 2024-04-16 journal article 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] https://hdl.handle.net/10481/92709 10.1016/j.matcom.2024.04.006 eng info:eu-repo/grantAgreement/EC/NextGenerationEU/PID2022-139586NB-44 http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional Elsevier