Sergio
Amat Plata
Catedrático de Universidad
Juan
Ruiz Álvarez
Profesor Titular de Universidad
Publications by the researcher in collaboration with Juan Ruiz Álvarez (54)
2024
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A regularization–correction approach for adapting subdivision schemes to the presence of discontinuities
BIT Numerical Mathematics, Vol. 64, Núm. 1
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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
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Non-linear WENO B-spline based approximation method
Numerical Algorithms
2023
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A new B-spline type approximation method for non-smooth functions
Applied Mathematics Letters, Vol. 141
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A new family of means: the generalized weighted power means and applications
International Journal of Computer Mathematics, Vol. 100, Núm. 2, pp. 422-439
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Adapting Cubic Hermite Splines to the Presence of Singularities Through Correction Terms
Journal of Scientific Computing, Vol. 95, Núm. 3
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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
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Numerical integration rules with improved accuracy close to discontinuities
Mathematics and Computers in Simulation, Vol. 210, pp. 593-614
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The translation operator. Applications to nonlinear reconstruction operators on nonuniform grids
Mathematics and Computers in Simulation, Vol. 203, pp. 408-424
2022
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A class of C 2 quasi-interpolating splines free of Gibbs phenomenon
Numerical Algorithms, Vol. 91, Núm. 1, pp. 51-79
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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
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Explicit multivariate approximations from cell-average data
Advances in Computational Mathematics, Vol. 48, Núm. 6
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On a Nonlinear Three-Point Subdivision Scheme Reproducing Piecewise Constant Functions
Mathematics, Vol. 10, Núm. 15
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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
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Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing
Applied Mathematics and Computation, Vol. 403
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On a class of splines free of Gibbs phenomenon
ESAIM: Mathematical Modelling and Numerical Analysis, Vol. 55, pp. S29-S64
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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
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On new means with interesting practical applications: Generalized power means
Mathematics, Vol. 9, Núm. 9
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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
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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