Non-uniform WENO-based quasi-interpolating splines from the Bernstein–Bézier representation and applications

F. Aràndiga, D. Barrera, S. Eddargani, M.J. Ibáñez and J.B. Roldán

Mathematics and Computers in Simulation (MATCOM), 2024, vol. 223, issue C, 158-170

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 quasi-interpolation 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.

Keywords: Bernstein–Bézier representation; Quasi-interpolation; WENO (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:223:y:2024:i:c:p:158-170

DOI: 10.1016/j.matcom.2024.04.006

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