Publications by the researcher in collaboration with Sergio Amat Plata (60)

2024

  1. A regularization–correction approach for adapting subdivision schemes to the presence of discontinuities

    BIT Numerical Mathematics, Vol. 64, Núm. 1

  2. Geometric representation of the weighted harmonic mean of n positive values and potential applications.

    Indian Journal of Pure and Applied Mathematics, Vol. 55, Núm. 2, pp. 794-804

  3. Non-linear WENO B-spline based approximation method

    Numerical Algorithms

2023

  1. A new B-spline type approximation method for non-smooth functions

    Applied Mathematics Letters, Vol. 141

  2. A new family of means: the generalized weighted power means and applications

    International Journal of Computer Mathematics, Vol. 100, Núm. 2, pp. 422-439

  3. Adapting Cubic Hermite Splines to the Presence of Singularities Through Correction Terms

    Journal of Scientific Computing, Vol. 95, Núm. 3

  4. Global and explicit approximation of piecewise-smooth two-dimensional functions from cell-average data

    IMA Journal of Numerical Analysis, Vol. 43, Núm. 4, pp. 2299-2319

  5. Numerical integration rules with improved accuracy close to discontinuities

    Mathematics and Computers in Simulation, Vol. 210, pp. 593-614

  6. The translation operator. Applications to nonlinear reconstruction operators on nonuniform grids

    Mathematics and Computers in Simulation, Vol. 203, pp. 408-424

2022

  1. A class of C 2 quasi-interpolating splines free of Gibbs phenomenon

    Numerical Algorithms, Vol. 91, Núm. 1, pp. 51-79

  2. A two-stage approximation strategy for piecewise smooth functions in two and three dimensions

    IMA Journal of Numerical Analysis, Vol. 42, Núm. 4, pp. 3330-3359

  3. Explicit multivariate approximations from cell-average data

    Advances in Computational Mathematics, Vol. 48, Núm. 6

  4. On a Nonlinear Three-Point Subdivision Scheme Reproducing Piecewise Constant Functions

    Mathematics, Vol. 10, Núm. 15

  5. On the approximation of derivative values using a WENO algorithm with progressive order of accuracy close to discontinuities

    Computational and Applied Mathematics, Vol. 41, Núm. 6

2021

  1. Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing

    Applied Mathematics and Computation, Vol. 403

  2. On a class of splines free of Gibbs phenomenon

    ESAIM: Mathematical Modelling and Numerical Analysis, Vol. 55, pp. S29-S64

  3. On a new centered strategy to control the accuracy of weighted essentially non oscillatory algorithm for conservation laws close to discontinuities

    Numerical Methods for Partial Differential Equations, Vol. 37, Núm. 1, pp. 172-195

  4. On new means with interesting practical applications: Generalized power means

    Mathematics, Vol. 9, Núm. 9

  5. On the application of the generalized means to construct multiresolution schemes satisfying certain inequalities proving stability

    Mathematics, Vol. 9, Núm. 5, pp. 1-15

2020

  1. A new WENO-2r algorithm with progressive order of accuracy close to discontinuities

    SIAM Journal on Numerical Analysis, Vol. 58, Núm. 6, pp. 3448-3474