Publications (67) Publications de Juan Ruiz Álvarez

2024

  1. A Stable FE-FD Method for Anisotropic Parabolic PDEs with Moving Interfaces

    Communications on Applied Mathematics and Computation, Vol. 6, Núm. 2, pp. 992-1012

  2. A non-separable progressive multivariate WENO-2r point value

    Applied Numerical Mathematics, Vol. 204, pp. 26-47

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

    BIT Numerical Mathematics, Vol. 64, Núm. 1

  4. Fully accurate approximation of piecewise smooth functions using corrected B-spline quasi-interpolants

    Computational and Applied Mathematics, Vol. 43, Núm. 4

  5. 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

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

    Numerical Algorithms

  7. Stable high order FD methods for interface and internal layer problems based on non-matching grids

    Numerical Algorithms, Vol. 96, Núm. 4, pp. 1647-1674

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. About a dubious proof of a correct result about closed Newton Cotes error formulas

    Open Mathematics, Vol. 21, Núm. 1

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

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

  5. 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

  6. Numerical integration rules with improved accuracy close to discontinuities

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

  7. 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