Publicaciones (58) Publicaciones de Juan Ruiz Álvarez

2024

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

    BIT Numerical Mathematics, Vol. 64, Núm. 1

2023

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

    Communications on Applied Mathematics and Computation

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

    Applied Mathematics Letters, Vol. 141

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

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

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

    Open Mathematics, Vol. 21, Núm. 1

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

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

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

    Indian Journal of Pure and Applied Mathematics

  7. 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

  8. Numerical integration rules with improved accuracy close to discontinuities

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

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

    Numerical Algorithms

  10. 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. Herramientas para asegurar la calidad de las guías docentes de la EICIM II

    Diseño de títulos y elaboración de guías docentes en el marco de sellos internacionales de calidad (Universidad Politécnica de Cartagena), pp. 1-241

  2. Improving the stability bound for the PPH nonlinear subdivision scheme for data coming from strictly convex functions

    Applied Mathematics and Computation, Vol. 399

  3. On a class of splines free of Gibbs phenomenon

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

  4. 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