Ecuaciones Diferenciales y Análisis Numérico
ECUDIFA
Universitat de València
Valencia, España
2026
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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
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Non-linear Partition of Unity method
Journal of Computational and Applied Mathematics, Vol. 473
2025
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A general correction for numerical integration rules over piece-wise continuous functions
Journal of Computational and Applied Mathematics, Vol. 459
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Data-dependent moving least squares
Applied Numerical Mathematics, Vol. 216, pp. 56-75
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Non-linear WENO B-spline based approximation method
Numerical Algorithms, Vol. 98, Núm. 3, pp. 1141-1169
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ON THE GENERALIZATION OF SECANT METHOD AND THE ORDER OF CONVERGENCE
Journal of Applied Analysis and Computation, Vol. 15, Núm. 1, pp. 245-260
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On a nonlinear version of Lane-Riesenfeld's subdivision schemes converging to piecewise smooth functions preserving high regularity
Computer Aided Geometric Design, Vol. 122
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Weighted essentially non-oscillatory shepard method
Numerical Algorithms
2024
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A non-separable progressive multivariate WENO-2r point value
Applied Numerical Mathematics, Vol. 204, pp. 26-47
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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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Fully accurate approximation of piecewise smooth functions using corrected B-spline quasi-interpolants
Computational and Applied Mathematics, Vol. 43, Núm. 4
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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
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