Publicacions (74) Publicacions de Juan Ruiz Álvarez

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2026

  1. Integrating moving least squares with non-linear WENO method: A novel partition of unity approach in 1D

    Journal of Computational and Applied Mathematics, Vol. 477

  2. Non-linear Partition of Unity method

    Journal of Computational and Applied Mathematics, Vol. 473

2025

  1. A general correction for numerical integration rules over piece-wise continuous functions

    Journal of Computational and Applied Mathematics, Vol. 459

  2. Data-dependent moving least squares

    Applied Numerical Mathematics, Vol. 216, pp. 56-75

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

    Numerical Algorithms, Vol. 98, Núm. 3, pp. 1141-1169

  4. On the convergence of WENO schemes for scalar hyperbolic conservation laws

    Journal of Analysis, Vol. 33, Núm. 4, pp. 1937-1956

  5. Weighted essentially non-oscillatory shepard method

    Numerical Algorithms

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. 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

  7. The Immersed Interface Method for Navier-Stokes Equations with Interfaces in Cylindrical Coordinates

    Communications on Applied Mathematics and Computation

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