4 papers
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…
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…