4 papers
Integrating Moving Least Squares with non-linear WENO method: A novel Partition of Unity approach in 1D
Inmaculada Garcés, José M. Ramón, Juan Ruiz-Ãlvarez +1
The approximation of data is a fundamental challenge encountered in various fields, including computer-aided geometric design, the numerical solution of partial differential equati…
Non-linear Partition of Unity method
José Manuel Ramón, Juan Ruiz-Alvarez, Dionisio F. Yáñez
This paper introduces the Non-linear Partition of Unity Method, a novel technique integrating Radial Basis Function interpolation and Weighted Essentially Non-Oscillatory algorithm…
Data dependent Moving Least Squares
David Levin, José M. Ramón, Juan Ruiz-Alvarez +1
In this paper, we address a data dependent modification of the moving least squares (MLS) problem. We propose a novel approach by replacing the traditional weight functions with ne…
Weighted Essentially Non-Oscillatory Shepard method
David Levin, José M. Ramón, Juan Ruiz-Alvarez +1
Shepard method is a fast algorithm that has been classically used to interpolate scattered data in several dimensions. This is an important and well-known technique in numerical an…