6 papers
A general correction for numerical integration rules over piece-wise continuous functions
Shipra Mahata, Samala Rathan, Juan Ruiz-Álvarez +1
This article presents a novel approach to enhance the accuracy of classical quadrature rules by incorporating correction terms. The proposed method is particularly effective when t…
Geometric representation of the weighted harmonic mean of positive values and potential uses
S. Amat, P. Ortiz, J. Ruiz +2
This paper is dedicated to the analysis and detailed study of a procedure to generate both the weighted arithmetic and harmonic means of positive real numbers. Together with th…
A nonlinear PPH-type reconstruction based on equilateral triangles
S. Amat, P. Ortiz, J. Ruiz +2
In this paper we introduce a new nonlinear reconstruction operator over two dimensional triangularized domains with equilateral triangles. We focus on the local definition of the o…
Global and explicit approximation of piecewise smooth 2D functions from cell-average data
Sergio Amat, David Levin, Juan Ruiz-Alvarez +1
Given cell-average data values of a piecewise smooth bivariate function within a domain , we look for a piecewise adaptive approximation to . We are interested in an expl…
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…