Publications by the researcher in collaboration with Sergio Amat Plata (20)

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. 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

  4. 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. Explicit multivariate approximations from cell-average data

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

  3. 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 new means with interesting practical applications: Generalized power means

    Mathematics, Vol. 9, Núm. 9

  3. 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

  2. On a family of non-oscillatory subdivision schemes having regularity C r with r > 1

    Numerical Algorithms, Vol. 85, Núm. 2, pp. 543-569

  3. On the application of Lehmer means in signal and image processing

    International Journal of Computer Mathematics, Vol. 97, Núm. 7, pp. 1503-1528

  4. On the local and semilocal convergence of a parameterized multi-step Newton method

    Journal of Computational and Applied Mathematics, Vol. 376

  5. On the use of generalized harmonic means in image processing using multiresolution algorithms

    International Journal of Computer Mathematics, Vol. 97, Núm. 1-2, pp. 455-466

2019

  1. On a stable family of four-point nonlinear subdivision schemes eliminating the Gibbs phenomenon

    Journal of Computational and Applied Mathematics, Vol. 354, pp. 310-325

2018

  1. Analysis of the Gibbs phenomenon in stationary subdivision schemes

    Applied Mathematics Letters, Vol. 76, pp. 157-163