TY - JOUR 
A1 - Ortiz Herranz, Pedro
AU - Trillo Moya, Juan Carlos
T1 - On the convexity preservation of a quasi C3 nonlinear interpolatory reconstruction operator on σ quasi-uniform grids
Y1 - 2021
SN - 2227-7390
UR - http://hdl.handle.net/10317/10575
AB - 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 preservation. In particular, for σ quasi-uniform grids with σ≤4, we get a quasi C3 reconstruction that maintains the convexity properties of the initial data. We give some numerical experiments regarding the approximation order and the convexity preservation.
KW - Matemática Aplicada
KW - Interpolation
KW - Reconstruction
KW - Nonlinearity
KW - Nonuniform
KW - σ quasi-uniform
KW - Convexity
KW - Class quasi C3
KW - 12 Matemáticas
KW - 1206.07 Interpolación, Aproximación y Ajuste de Curvas
LA - eng
PB - MDPI
ER -