A nonlinear interpolatory reconstruction operator on non uniform grids
Numerical Analysis
2018-11-27 v1
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.
Cite
@article{arxiv.1811.10566,
title = {A nonlinear interpolatory reconstruction operator on non uniform grids},
author = {Juan Carlos Trillo and Pedro Ortiz},
journal= {arXiv preprint arXiv:1811.10566},
year = {2018}
}
Comments
28 pages, 4 figures