7 citations · 10 across the 13 of their papers we have counts for
4 papers · 1 filter
Corrected approximation strategy for piecewise smooth bivariate functions
Sergio Amat, David Levin, Juan Ruiz-Álvarez
Given values of a piecewise smooth function on a square grid within a domain , we look for a piecewise adaptive approximation to . Standard approximation techniques achie…
On a regularization-correction approach for the approximation of piecewise smooth functions
Sergio Amat, David Levin, Juan Ruiz-Álvarez
Linear approximation approaches suffer from Gibbs oscillations when approximating functions with singularities. ENO-SR resolution is a local approach avoiding oscillations and with…
Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing
Sergio Amat, Juan Ruiz, Chi-Wang Shu +1
In this paper we translate to the cell-average setting the algorithm for the point-value discretization presented in S. Amat, J. Ruiz, C.-W. Shu, D. F. Yáñez, A new WENO-2r algorit…
A new WENO-2r algorithm with progressive order of accuracy close to discontinuities
Sergio Amat, Juan Ruiz, Chi-Wang Shu +1
In this article we present a modification of the algorithm for data discretized in the point values introduced in [S. Amat, J. Ruiz, C.-W. Shu, On a new WENO algorithm of order 2r…