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arXiv · 1811.10566

A nonlinear interpolatory reconstruction operator on non uniform grids

Juan Carlos Trillo·Pedro Ortiz
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Abstract

This paper is devoted to introduce the non linear reconstruction operator PPH on non uniform grids. We define this operator and we study its main properties such as reproduction of polynomials of second degree, approximation order and conditions for convexity preservation.

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Juan Carlos Trillo, Pedro Ortiz. 2018-11-26. A nonlinear interpolatory reconstruction operator on non uniform grids. https://arxiv.org/abs/1811.10566

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