Sergio Amat
Orcid: 0000-0002-9954-5240
According to our database1,
Sergio Amat
authored at least 100 papers
between 2002 and 2024.
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Bibliography
2024
Detection, Measurement and Classification of Discontinuities of Signals Captured with Noise.
Axioms, January, 2024
2023
Appl. Math. Lett., July, 2023
Adapting Cubic Hermite Splines to the Presence of Singularities Through Correction Terms.
J. Sci. Comput., June, 2023
Int. J. Comput. Math., February, 2023
The translation operator. Applications to nonlinear reconstruction operators on nonuniform grids.
Math. Comput. Simul., 2023
Math. Comput. Simul., 2023
2022
On the approximation of derivative values using a WENO algorithm with progressive order of accuracy close to discontinuities.
Comput. Appl. Math., September, 2022
Numer. Algorithms, 2022
CoRR, 2022
Geometric representation of the weighted harmonic mean of n positive values and potential uses.
CoRR, 2022
Global and explicit approximation of piecewise smooth 2D functions from cell-average data.
CoRR, 2022
Adv. Comput. Math., 2022
2021
Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing.
Appl. Math. Comput., 2021
2020
SIAM J. Numer. Anal., 2020
On a family of non-oscillatory subdivision schemes having regularity C<sup>r</sup> with r > 1.
Numer. Algorithms, 2020
J. Comput. Appl. Math., 2020
Int. J. Comput. Math., 2020
On the use of generalized harmonic means in image processing using multiresolution algorithms.
Int. J. Comput. Math., 2020
CoRR, 2020
Appl. Math. Lett., 2020
2019
On New Strategies to Control the Accuracy of WENO Algorithms Close to Discontinuities.
SIAM J. Numer. Anal., 2019
Numer. Algorithms, 2019
J. Comput. Appl. Math., 2019
On a stable family of four-point nonlinear subdivision schemes eliminating the Gibbs phenomenon.
J. Comput. Appl. Math., 2019
2018
Numer. Linear Algebra Appl., 2018
Math. Comput. Simul., 2018
On an New Algorithm for Function Approximation with Full Accuracy in the Presence of Discontinuities Based on the Immersed Interface Method.
J. Sci. Comput., 2018
J. Comput. Appl. Math., 2018
Appl. Math. Lett., 2018
On a nonlinear 4-point ternary and non-interpolatory subdivision scheme eliminating the Gibbs phenomenon.
Appl. Math. Comput., 2018
2017
SIAM J. Sci. Comput., 2017
On the convergence of a local third order shock capturing method for hyperbolic conservation laws.
Numer. Algorithms, 2017
Local convergence and the dynamics of a two-point four parameter Jarratt-like method under weak conditions.
Numer. Algorithms, 2017
New WENO Smoothness Indicators Computationally Efficient in the Presence of Corner Discontinuities.
J. Sci. Comput., 2017
On the Efficiency of a Family of Steffensen-Like Methods with Frozen Divided Differences.
Comput. Methods Appl. Math., 2017
Algorithms, 2017
2016
On a nonlinear mean and its application to image compression using multiresolution schemes.
Numer. Algorithms, 2016
J. Comput. Appl. Math., 2016
J. Comput. Appl. Math., 2016
2015
Numer. Linear Algebra Appl., 2015
On a family of nonlinear cell-average multiresolution schemes for image processing: An experimental study.
Math. Comput. Simul., 2015
A variable step-size implementation of a variational method for stiff differential equations.
Math. Comput. Simul., 2015
Unifying the Classical Approach with New Technologies: An Innovative Proposal for Teaching Mathematics in Engineering.
Int. J. Interact. Multim. Artif. Intell., 2015
Expanding the Applicability of a Third Order Newton-Type Method Free of Bilinear Operators.
Algorithms, 2015
2014
On a family of high-order iterative methods under gamma conditions with applications in denoising.
Numerische Mathematik, 2014
Numer. Linear Algebra Appl., 2014
Improving the compression rate versus L 1 error ratio in cell-average error control algorithms.
Numer. Algorithms, 2014
J. Optim. Theory Appl., 2014
J. Comput. Appl. Math., 2014
Improving the applicability of the secant method to solve nonlinear systems of equations.
Appl. Math. Comput., 2014
Appl. Math. Comput., 2014
2013
On the approximation of derivatives using divided difference operators preserving the local convergence order of iterative methods.
J. Comput. Appl. Math., 2013
High order nonlinear interpolatory reconstruction operators and associated multiresolution schemes.
J. Comput. Appl. Math., 2013
Proving convexity preserving properties of interpolatory subdivision schemes through reconstruction operators.
Appl. Math. Comput., 2013
Maximum efficiency for a family of Newton-like methods with frozen derivatives and some applications.
Appl. Math. Comput., 2013
Appl. Math. Comput., 2013
Nonlinear thresholding of multiresolution decompositions adapted to the presence of discontinuities.
Adv. Comput. Math., 2013
2012
Reciprocal polynomial extrapolation vs Richardson extrapolation for singular perturbed boundary problems.
Numer. Algorithms, 2012
Math. Comput. Simul., 2012
J. Frankl. Inst., 2012
2011
On a nonlinear subdivision scheme avoiding Gibbs oscillations and converging towards C<sup>s</sup> functions with s>1.
Math. Comput., 2011
Tight numerical bounds for digital terrain modeling by interpolatory subdivision schemes.
Math. Comput. Simul., 2011
Error bounds for a class of subdivision schemes based on the two-scale refinement equation.
J. Comput. Appl. Math., 2011
Third-order iterative methods with applications to Hammerstein equations: A unified approach.
J. Comput. Appl. Math., 2011
Analysis of a class of nonlinear subdivision schemes and associated multiresolution transforms.
Adv. Comput. Math., 2011
2010
Numer. Linear Algebra Appl., 2010
Fast Multiresolution Algorithms and Their Related Variational Problems for Image Denoising.
J. Sci. Comput., 2010
J. Comput. Appl. Math., 2010
J. Comput. Appl. Math., 2010
J. Comput. Appl. Math., 2010
2009
Math. Comput. Simul., 2009
Int. J. Comput. Math., 2009
2008
l<sup>infinity</sup>-Stability for linear multiresolution algorithms: A new explicit approach. Part III: The 2-D case.
Appl. Math. Comput., 2008
l<sup>infinity</sup>-Stability for linear multiresolution algorithms: A new explicit approach. Part II: The cases of Symlets, Coiflets, biorthogonal wavelets and supercompact multiwavelets.
Appl. Math. Comput., 2008
l<sup>infinity</sup>-Stability for linear multiresolution algorithms: A new explicit approach. Part I: The basic rules and the Daubechies case.
Appl. Math. Comput., 2008
Appl. Math. Comput., 2008
2007
On multiresolution schemes using a stencil selection procedure: applications to ENO schemes.
Numer. Algorithms, 2007
Math. Comput. Model., 2007
2006
Found. Comput. Math., 2006
Appl. Math. Comput., 2006
2005
Appl. Math. Comput., 2005
2004
Dynamics of a family of third-order iterative methods that do not require using second derivatives.
Appl. Math. Comput., 2004
2003
2002
Tensor product multiresolution analysis with error control for compact image representation.
Signal Process., 2002