On the Convexity Preservation of a Quasi <i>C</i><sup>3</sup> Nonlinear Interpolatory Reconstruction Operator on <i>σ</i> Quasi-Uniform Grids

On the Convexity Preservation of a Quasi <i>C</i><sup>3</sup> Nonlinear Interpolatory Reconstruction Operator on <i>σ</i> Quasi-Uniform Grids

This paper is devoted to introducing a nonlinear reconstruction operator, the piecewise polynomial harmonic (PPH), on nonuniform grids. We define this operator and we study its main properties, such as its reproduction of second-degree polynomials, approximation order, and conditions for convexity p...

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Bibliographic Details
Main Authors: Pedro Ortiz, Juan Carlos Trillo
Format: Article
Language:English
Published: MDPI AG 2021-02-01
Series:Mathematics
Subjects:
interpolation
reconstruction
nonlinearity
nonuniform
σ quasi-uniform
convexity
Online Access:https://www.mdpi.com/2227-7390/9/4/310

Internet

https://www.mdpi.com/2227-7390/9/4/310

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