Sergio Amat

Orcid: 0000-0002-9954-5240

According to our database1, Sergio Amat authored at least 100 papers between 2002 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of five.

Timeline

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Bibliography

2024
Detection, Measurement and Classification of Discontinuities of Signals Captured with Noise.
Axioms, January, 2024

2023
A new B-spline type approximation method for non-smooth functions.
Appl. Math. Lett., July, 2023

Adapting Cubic Hermite Splines to the Presence of Singularities Through Correction Terms.
J. Sci. Comput., June, 2023

A new family of means: the generalized weighted power means and applications.
Int. J. Comput. Math., February, 2023

The translation operator. Applications to nonlinear reconstruction operators on nonuniform grids.
Math. Comput. Simul., 2023

Numerical integration rules with improved accuracy close to discontinuities.
Math. Comput. Simul., 2023

Non-linear WENO B-spline based approximation method.
CoRR, 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

A class of C2 quasi-interpolating splines free of Gibbs phenomenon.
Numer. Algorithms, 2022

Numerical integration rules with improved accuracy close to singularities.
CoRR, 2022

Geometric representation of the weighted harmonic mean of n positive values and potential uses.
CoRR, 2022

A nonlinear PPH-type reconstruction based on equilateral triangles.
CoRR, 2022

Global and explicit approximation of piecewise smooth 2D functions from cell-average data.
CoRR, 2022

Explicit multivariate approximations from cell-average data.
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
A New WENO-2r Algorithm with Progressive Order of Accuracy Close to Discontinuities.
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

On the local and semilocal convergence of a parameterized multi-step Newton method.
J. Comput. Appl. Math., 2020

On the application of Lehmer means in signal and image processing.
Int. J. Comput. Math., 2020

On the use of generalized harmonic means in image processing using multiresolution algorithms.
Int. J. Comput. Math., 2020

Corrected subdivision approximation of piecewise smooth functions.
CoRR, 2020

Corrected approximation strategy for piecewise smooth bivariate functions.
CoRR, 2020

On a new WENO algorithm of order 2r with improved accuracy close to discontinuities.
Appl. Math. Lett., 2020

2019
On New Strategies to Control the Accuracy of WENO Algorithms Close to Discontinuities.
SIAM J. Numer. Anal., 2019

On an algorithm to adapt spline approximations to the presence of discontinuities.
Numer. Algorithms, 2019

An efficient optimal family of sixteenth order methods for nonlinear models.
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
On two high-order families of frozen Newton-type methods.
Numer. Linear Algebra Appl., 2018

On a class of three points cell-average multiresolution schemes.
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

On the local convergence study for an efficient k-step iterative method.
J. Comput. Appl. Math., 2018

Analysis of the Gibbs phenomenon in stationary subdivision schemes.
Appl. Math. Lett., 2018

On a nonlinear 4-point ternary and non-interpolatory subdivision scheme eliminating the Gibbs phenomenon.
Appl. Math. Comput., 2018

2017
On a Power WENO Scheme with Improved Accuracy Near Discontinuities.
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

Wavelets for the Maxwell's equations: An overview.
J. Comput. Appl. Math., 2017

On the Efficiency of a Family of Steffensen-Like Methods with Frozen Divided Differences.
Comput. Methods Appl. Math., 2017

Expanding the Applicability of Some High Order Househölder-Like Methods.
Algorithms, 2017

2016
On a nonlinear mean and its application to image compression using multiresolution schemes.
Numer. Algorithms, 2016

On an efficient k-step iterative method for nonlinear equations.
J. Comput. Appl. Math., 2016

A Steffensen type method of two steps in Banach spaces with applications.
J. Comput. Appl. Math., 2016

2015
On a new family of high-order iterative methods for the matrix <i>p</i>th root.
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

Approximation of inverse operators by a new family of high-order iterative methods.
Numer. Linear Algebra Appl., 2014

Improving the compression rate versus L 1 error ratio in cell-average error control algorithms.
Numer. Algorithms, 2014

Expanding the Applicability of High-Order Traub-Type Iterative Procedures.
J. Optim. Theory Appl., 2014

Third-order methods on Riemannian manifolds under Kantorovich conditions.
J. Comput. Appl. Math., 2014

Improving the applicability of the secant method to solve nonlinear systems of equations.
Appl. Math. Comput., 2014

Newton-type methods on Riemannian manifolds under Kantorovich-type conditions.
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

On a two-step relaxed Newton-type method.
Appl. Math. Comput., 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

On a bilinear operator free third order method on Riemannian manifolds.
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

Adaptive interpolation of images using a new nonlinear cell-average scheme.
Math. Comput. Simul., 2012

On a compact non-extrapolating scheme for adaptive image interpolation.
J. Frankl. Inst., 2012

On a Newton-Type Method for Differential-Algebraic Equations.
J. Appl. Math., 2012

On two families of high order Newton type methods.
Appl. Math. Lett., 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

A wavelet adaptive two-step Newton type method.
J. Frankl. Inst., 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
On a third-order Newton-type method free of bilinear operators.
Numer. Linear Algebra Appl., 2010

Fast Multiresolution Algorithms and Their Related Variational Problems for Image Denoising.
J. Sci. Comput., 2010

Non-uniform multiresolution analysis with supercompact multiwavelets.
J. Comput. Appl. Math., 2010

A family of stable nonlinear nonseparable multiresolution schemes in 2D.
J. Comput. Appl. Math., 2010

On a class of L<sup>1</sup>-stable nonlinear cell-average multiresolution schemes.
J. Comput. Appl. Math., 2010

2009
Exact error bounds for the reconstruction processes using interpolating wavelets.
Math. Comput. Simul., 2009

On the dynamics of some Newton's type iterative functions.
Int. J. Comput. Math., 2009

2008
High order iterative schemes for quadratic equations.
Numer. Algorithms, 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

A modified Chebyshev's iterative method with at least sixth order of convergence.
Appl. Math. Comput., 2008

On the dynamics of the Euler iterative function.
Appl. Math. Comput., 2008

2007
On multiresolution schemes using a stencil selection procedure: applications to ENO schemes.
Numer. Algorithms, 2007

A fully adaptive multiresolution scheme for image processing.
Math. Comput. Model., 2007

2006
Analysis of a New Nonlinear Subdivision Scheme. Applications in Image Processing.
Found. Comput. Math., 2006

Point Values Hermite Multiresolution for Non-smooth Noisy Signals.
Computing, 2006

On a Steffensen's type method and its behavior for semismooth equations.
Appl. Math. Comput., 2006

2005
Constructing attracting periodic orbits of three third-order iterative methods.
Appl. Math. Comput., 2005

2004
On the local convergence of secant-type methods.
Int. J. Comput. Math., 2004

Dynamics of a family of third-order iterative methods that do not require using second derivatives.
Appl. Math. Comput., 2004

A fast Chebyshev's method for quadratic equations.
Appl. Math. Comput., 2004

2003
A modified secant method for semismooth equations.
Appl. Math. Lett., 2003

On a higher order Secant method.
Appl. Math. Comput., 2003

Nonseparable multiresolution with error control.
Appl. Math. Comput., 2003

2002
Tensor product multiresolution analysis with error control for compact image representation.
Signal Process., 2002

A Note on the Stability of ENO Multiresolution.
Int. J. Comput. Math., 2002


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