4 papers
The Levin Method for the Summation of One-dimensional and Multidimensional Infinite Series
David Levin
The Levin method transforms the evaluation of a highly oscillatory integral into the solution of a first-order linear ODE for a slowly varying auxiliary function. This ODE is typic…
Data-dependent approximation through RBF
José Kuruc, David Levin, Pep Mulet +2
In this article we present a modification of classical Radial Basis Function (RBF) interpolation techniques aimed at reducing oscillations near discontinuities in one and two dimen…
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…