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Rational Hermite interpolation on six-tuples and scattered data

Author

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  • Dell’Accio, Francesco
  • Di Tommaso, Filomena
  • Nouisser, Otheman
  • Siar, Najoua

Abstract

The main objective of this paper is to construct an approximant, with cubic precision and quartic approximation order, which interpolates functional values and first order derivatives on a set of scattered data. This approximant is a combination of six-point Shepard basis functions with rational interpolants based on six-tuples of nodes. The numerical results show the efficiency and the accuracy of the proposed method, which is implemented by a fast algorithm that makes it useful in several domains of application.

Suggested Citation

  • Dell’Accio, Francesco & Di Tommaso, Filomena & Nouisser, Otheman & Siar, Najoua, 2020. "Rational Hermite interpolation on six-tuples and scattered data," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    • Handle: RePEc:eee:apmaco:v:386:y:2020:i:c:s0096300320304136
    DOI: 10.1016/j.amc.2020.125452
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    References listed on IDEAS

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    1. Dell’Accio, F. & Di Tommaso, F., 2017. "Bivariate Shepard–Bernoulli operators," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 141(C), pages 65-82.
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    Cited by:

    1. Xia, Peng & Lei, Na & Dong, Tian, 2023. "On the linearization methods for univariate Birkhoff rational interpolation," Applied Mathematics and Computation, Elsevier, vol. 445(C).

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