Rational Hermite interpolation on six-tuples and scattered data

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

Applied Mathematics and Computation, 2020, vol. 386, issue C

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.

Keywords: Scattered data; Shepard methods; Hermite interpolation; Rational interpolant; Approximation order (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:386:y:2020:i:c:s0096300320304136

DOI: 10.1016/j.amc.2020.125452

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