3 papers
math.NA2025
Multinode Shepard Functions and Tensor Product Polynomial Interpolation: Applications to Digital Elevation Models
Domingo Barrera, Francesco Dell'Accio, Filomena Di Tommaso +5
The paper presents an in-depth exploration of the multinode Shepard interpolant on a regular rectangular grid, demonstrating its efficacy in reconstructing surfaces from DEM data.…
math.OC2024
Minimal time of the pointwise controllability for degenerate singular operators and related numerical results via B-splines
Salah Eddargani, Amine Sbai
The goal of this paper is to analyze the pointwise controllability properties of a one-dimensional degenerate/singular equation. We prove the conditions that characterize approxima…
math.NA2024
Construction of 2D explicit cubic quasi-interpolating splines in Bernstein-Bézier form
Domingo Barrera, Salah Eddargani, María José Ibáñez +1
In this paper, the construction of cubic quasi-interpolants on a three-direction mesh of $\RR^{2}$ is addressed. The quasi-interpolating splines are defined by directly set…