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

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

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.

Suggested Citation

  • Aràndiga, F. & Barrera, D. & Eddargani, S. & Ibáñez, M.J. & Roldán, J.B., 2024. "Non-uniform WENO-based quasi-interpolating splines from the Bernstein–Bézier representation and applications," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 223(C), pages 158-170.
    • Handle: RePEc:eee:matcom:v:223:y:2024:i:c:p:158-170
    DOI: 10.1016/j.matcom.2024.04.006
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    References listed on IDEAS

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    1. Alonso, F.J. & Maldonado, D. & Aguilera, A.M. & Roldán, J.B., 2021. "Memristor variability and stochastic physical properties modeling from a multivariate time series approach," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    2. María José Ibáñez & Domingo Barrera & David Maldonado & Rafael Yáñez & Juan Bautista Roldán, 2021. "Non-Uniform Spline Quasi-Interpolation to Extract the Series Resistance in Resistive Switching Memristors for Compact Modeling Purposes," Mathematics, MDPI, vol. 9(17), pages 1-12, September.
    3. Aràndiga, Francesc & Donat, Rosa & López-Ureña, Sergio, 2023. "Nonlinear improvements of quasi-interpolanting splines to approximate piecewise smooth functions," Applied Mathematics and Computation, Elsevier, vol. 448(C).
    4. Barrera, D. & Eddargani, S. & Ibáñez, M.J. & Remogna, S., 2023. "Low-degree spline quasi-interpolants in the Bernstein basis," Applied Mathematics and Computation, Elsevier, vol. 457(C).
    Full references (including those not matched with items on IDEAS)

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