1 citations · 1 across the 4 of their papers we have counts for
4 papers
Numerical integration rules with improved accuracy close to singularities
Sergio Amat, Zhilin Li, Juan Ruiz-Alvarez +2
Sometimes it is necessary to obtain a numerical integration using only discretised data. In some cases, the data contains singularities which position is known but does not coincid…
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…
A nonlinear interpolatory reconstruction operator on non uniform grids
Juan Carlos Trillo, Pedro Ortiz
This paper is devoted to introduce the non linear reconstruction operator PPH on non uniform grids. We define this operator and we study its main properties such as reproduction of…