Sergio
Amat Plata
Catedrático de Universidad
![Foto de Dionisio F.](/img/nophoto.png)
Dionisio F.
Yáñez Avendaño
Publicacions en què col·labora amb Dionisio F. Yáñez Avendaño (20)
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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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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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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Explicit multivariate approximations from cell-average data
Advances in Computational Mathematics, Vol. 48, Núm. 6
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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 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
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On a family of non-oscillatory subdivision schemes having regularity C r with r > 1
Numerical Algorithms, Vol. 85, Núm. 2, pp. 543-569
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On the application of Lehmer means in signal and image processing
International Journal of Computer Mathematics, Vol. 97, Núm. 7, pp. 1503-1528
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On the local and semilocal convergence of a parameterized multi-step Newton method
Journal of Computational and Applied Mathematics, Vol. 376
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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
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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
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Analysis of the Gibbs phenomenon in stationary subdivision schemes
Applied Mathematics Letters, Vol. 76, pp. 157-163