7 citations · 10 across the 13 of their papers we have counts for
13 papers
Non-linear WENO B-spline based approximation method
Sergio Amat, David Levin, Juan Ruiz-Álvarez +1
In this work we present a new WENO b-spline based quasi-interpolation algorithm. The novelty of this construction resides in the application of the WENO weights to the b-spline fun…
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…
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…
Explicit multivariate approximations from cell-average data
Sergio Amat, David Levin, Juan Ruiz-Alvarez +1
Given gridded cell-average data of a smooth multivariate function, we present a constructive explicit procedure for generating a high-order global approximation of the function. On…