Sergio
Amat Plata
Catedrático de Universidad
![Foto de Sergio](/img/uploaded/72c7cc3610c601529328695a99ebb46d.jpg)
![Foto de Universitat de València](/img/noimage_org.png)
Universitat de València
Valencia, EspañaPublicacións en colaboración con investigadores/as de Universitat de València (38)
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 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
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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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Study of a new nonlinear parametric reconstruction
9th International Congress on Industrial and Applied Mathematics (ICIAM 2019)