Sergio Amat

107 papers Journal 107
YearRankTypeTitle / Venue / Authors
2026 J jnl
On a weighted Chaikin-type subdivision scheme for non-smooth data.
Appl. Math. Comput.
Sergio Amat, Sonia Busquier, David Levin, Juan Ruiz-Álvarez, Dionisio F. Yáñez
2025 J jnl
Algorithm-Based Real-Time Analysis of Training Phases in Competitive Canoeing: An Automated Approach for Performance Monitoring.
Algorithms
Sergio Amat, Sonia Busquier, Carlos D. Gómez-Carmona, Manuel Gómez-López, José Pino-Ortega
2025 J jnl
Non-linear WENO B-spline based approximation method.
Numer. Algorithms
Sergio Amat, David Levin, Juan Ruiz-Álvarez, Dionisio F. Yáñez
2025 J jnl
On a nonlinear version of Lane-Riesenfeld's subdivision schemes converging to piecewise smooth functions preserving high regularity.
Comput. Aided Geom. Des.
Sergio Amat, Sonia Busquier, David Levin, Juan Ruiz, Dionisio F. Yáñez
2024 J jnl
Detection, Measurement and Classification of Discontinuities of Signals Captured with Noise.
Axioms
Sergio Amat, Sonia Busquier, Denys Orieshkin
2023 J jnl
A new B-spline type approximation method for non-smooth functions.
Appl. Math. Lett.
Sergio Amat, David Levin, Juan Ruiz-Álvarez, Dionisio F. Yáñez
2023 J jnl
A new family of means: the generalized weighted power means and applications.
Int. J. Comput. Math.
Sergio Amat, Isabel Jiménez, Juan Ruiz, Juan Carlos Trillo, Dionisio F. Yáñez
2023 J jnl
Adapting Cubic Hermite Splines to the Presence of Singularities Through Correction Terms.
J. Sci. Comput.
Sergio Amat, Zhilin Li, Juan Ruiz-Álvarez, Concepcion Solano, Juan Carlos Trillo
2023 J jnl
Non-linear WENO B-spline based approximation method.
CoRR
Sergio Amat, David Levin, Juan Ruiz-Álvarez, Dionisio F. Yáñez
2023 J jnl
Numerical integration rules with improved accuracy close to discontinuities.
Math. Comput. Simul.
Sergio Amat, Zhilin Li, Juan Ruiz-Álvarez, Concepcion Solano, Juan Carlos Trillo
2023 J jnl
The translation operator. Applications to nonlinear reconstruction operators on nonuniform grids.
Math. Comput. Simul.
Sergio Amat, Pedro Ortiz, Juan Ruiz, Juan Carlos Trillo, Dionisio F. Yáñez
2022 J jnl
A class of C2 quasi-interpolating splines free of Gibbs phenomenon.
Numer. Algorithms
Sergio Amat, David Levin, Juan Ruiz-Álvarez, Juan Carlos Trillo, Dionisio F. Yáñez
2022 J jnl
A nonlinear PPH-type reconstruction based on equilateral triangles.
CoRR
Sergio Amat, Pedro Ortiz, Juan Ruiz, Juan Carlos Trillo, Dionisio F. Yáñez
2022 J jnl
Explicit multivariate approximations from cell-average data.
Adv. Comput. Math.
Sergio Amat, David Levin, Juan Ruiz-Álvarez, Dionisio F. Yáñez
2022 J jnl
Geometric representation of the weighted harmonic mean of n positive values and potential uses.
CoRR
Sergio Amat, P. Ortiz, Juan Ruiz, Juan Carlos Trillo, Dionisio F. Yáñez
2022 J jnl
Global and explicit approximation of piecewise smooth 2D functions from cell-average data.
CoRR
Sergio Amat, David Levin, Juan Ruiz-Álvarez, Dionisio F. Yáñez
2022 J jnl
Numerical integration rules with improved accuracy close to singularities.
CoRR
Sergio Amat, Zhilin Li, Juan Ruiz-Álvarez, Concepcion Solano, Juan Carlos Trillo
2022 J jnl
On the approximation of derivative values using a WENO algorithm with progressive order of accuracy close to discontinuities.
Comput. Appl. Math.
Sergio Amat, Juan Ruiz-Álvarez, Chi-Wang Shu, Dionisio F. Yáñez
2021 J jnl
Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing.
Appl. Math. Comput.
Sergio Amat, Juan Ruiz-Álvarez, Chi-Wang Shu, Dionisio F. Yáñez
2021 J jnl
Explicit multivariate approximations from cell-average data.
CoRR
Sergio Amat, David Levin, Juan Ruiz-Álvarez, Dionisio F. Yáñez
2020 J jnl
A New WENO-2r Algorithm with Progressive Order of Accuracy Close to Discontinuities.
SIAM J. Numer. Anal.
Sergio Amat, Juan Ruiz, Chi-Wang Shu, Dionisio F. Yáñez
2020 J jnl
A new WENO-2r algorithm with progressive order of accuracy close to discontinuities.
CoRR
Sergio Amat, Juan Ruiz, Chi-Wang Shu, Dionisio F. Yáñez
2020 J jnl
Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing.
CoRR
Sergio Amat, Juan Ruiz, Chi-Wang Shu, Dionisio F. Yáñez
2020 J jnl
Corrected approximation strategy for piecewise smooth bivariate functions.
CoRR
Sergio Amat, David Levin, Juan Ruiz-Álvarez
2020 J jnl
Corrected subdivision approximation of piecewise smooth functions.
CoRR
Sergio Amat, David Levin, Juan Ruiz-Álvarez
2020 J jnl
On a family of non-oscillatory subdivision schemes having regularity C
Numer. Algorithms
Sergio Amat, Juan Ruiz, Juan Carlos Trillo, Dionisio F. Yáñez
2020 J jnl
On a new WENO algorithm of order 2r with improved accuracy close to discontinuities.
Appl. Math. Lett.
Sergio Amat, Juan Ruiz, Chi-Wang Shu
2020 J jnl
On the application of Lehmer means in signal and image processing.
Int. J. Comput. Math.
Sergio Amat, Ángel Alberto Magreñán, Juan Ruiz, Juan Carlos Trillo, Dionisio F. Yáñez
2020 J jnl
On the local and semilocal convergence of a parameterized multi-step Newton method.
J. Comput. Appl. Math.
Sergio Amat, Ioannis K. Argyros, Sonia Busquier, M. A. Hernández-Verón, Dionisio F. Yáñez
2020 J jnl
On the use of generalized harmonic means in image processing using multiresolution algorithms.
Int. J. Comput. Math.
Sergio Amat, Ángel Alberto Magreñán, Juan Ruiz, Juan Carlos Trillo, Dionisio F. Yáñez
2019 J jnl
An efficient optimal family of sixteenth order methods for nonlinear models.
J. Comput. Appl. Math.
Ramandeep Behl, Sergio Amat, Ángel Alberto Magreñán, Sandile Sydney Motsa
2019 J jnl
On New Strategies to Control the Accuracy of WENO Algorithms Close to Discontinuities.
SIAM J. Numer. Anal.
Sergio Amat, Juan Ruiz, Chi-Wang Shu
2019 J jnl
On a stable family of four-point nonlinear subdivision schemes eliminating the Gibbs phenomenon.
J. Comput. Appl. Math.
Sergio Amat, Juan Ruiz, Juan Carlos Trillo, Dionisio F. Yáñez
2019 J jnl
On an algorithm to adapt spline approximations to the presence of discontinuities.
Numer. Algorithms
Sergio Amat, Juan Ruiz, Juan Carlos Trillo
2018 J jnl
Analysis of the Gibbs phenomenon in stationary subdivision schemes.
Appl. Math. Lett.
Sergio Amat, Juan Ruiz, Juan Carlos Trillo, Dionisio F. Yáñez
2018 J jnl
On a class of three points cell-average multiresolution schemes.
Math. Comput. Simul.
Sergio Amat, Jacques Liandrat, María Moncayo, Juan Ruiz, Juan Carlos Trillo
2018 J jnl
On a nonlinear 4-point ternary and non-interpolatory subdivision scheme eliminating the Gibbs phenomenon.
Appl. Math. Comput.
Sergio Amat, A. Choutri, Juan Ruiz, Sofiane Zouaoui
2018 J jnl
On an New Algorithm for Function Approximation with Full Accuracy in the Presence of Discontinuities Based on the Immersed Interface Method.
J. Sci. Comput.
Sergio Amat, Zhilin Li, Juan Ruiz
2018 J jnl
On the local convergence study for an efficient k-step iterative method.
J. Comput. Appl. Math.
Sergio Amat, Ioannis K. Argyros, Sonia Busquier, M. A. Hernández-Verón, Eulalia Martínez
2018 J jnl
On two high-order families of frozen Newton-type methods.
Numer. Linear Algebra Appl.
Sergio Amat, Ioannis K. Argyros, Sonia Busquier, M. A. Hernández-Verón
2017 J jnl
Expanding the Applicability of Some High Order Househölder-Like Methods.
Algorithms
Sergio Amat, Ioannis K. Argyros, Miguel Ángel Hernández, Natalia Romero Álvarez
2017 J jnl
Local convergence and the dynamics of a two-point four parameter Jarratt-like method under weak conditions.
Numer. Algorithms
Sergio Amat, Ioannis K. Argyros, Sonia Busquier, Ángel Alberto Magreñán
2017 J jnl
New WENO Smoothness Indicators Computationally Efficient in the Presence of Corner Discontinuities.
J. Sci. Comput.
Sergio Amat, Juan Ruiz
2017 J jnl
On a Power WENO Scheme with Improved Accuracy Near Discontinuities.
SIAM J. Sci. Comput.
Sergio Amat, Jacques Liandrat, Juan Ruiz, Juan Carlos Trillo
2017 J jnl
On the Efficiency of a Family of Steffensen-Like Methods with Frozen Divided Differences.
Comput. Methods Appl. Math.
Sergio Amat, Sonia Busquier, Miquel Grau-Sánchez, Miguel Ángel Hernández-Verón
2017 J jnl
On the convergence of a local third order shock capturing method for hyperbolic conservation laws.
Numer. Algorithms
Sergio Amat, Vicente F. Candela
2017 J jnl
Wavelets for the Maxwell's equations: An overview.
J. Comput. Appl. Math.
Sergio Amat, Pedro J. Blázquez Tobías, Sonia Busquier, Concepción Bermúdez
2016 J jnl
A Steffensen type method of two steps in Banach spaces with applications.
J. Comput. Appl. Math.
Sergio Amat, Sonia Busquier, J. A. Ezquerro, M. A. Hernández-Verón
2016 J jnl
On a nonlinear mean and its application to image compression using multiresolution schemes.
Numer. Algorithms
Sergio Amat, Jacques Liandrat, Juan Ruiz, Juan Carlos Trillo
2016 J jnl
On an efficient k-step iterative method for nonlinear equations.
J. Comput. Appl. Math.
Sergio Amat, Concepción Bermúdez, M. A. Hernández-Verón, Eulalia Martínez
2015 J jnl
A variable step-size implementation of a variational method for stiff differential equations.
Math. Comput. Simul.
Sergio Amat, María José Legaz, Pablo Pedregal
2015 J jnl
Expanding the Applicability of a Third Order Newton-Type Method Free of Bilinear Operators.
Algorithms
Sergio Amat, Sonia Busquier, Concepción Bermúdez, Ángel Alberto Magreñán
2015 J jnl
On a family of nonlinear cell-average multiresolution schemes for image processing: An experimental study.
Math. Comput. Simul.
Sergio Amat, Jacques Liandrat, Juan Ruiz, Juan Carlos Trillo
2015 J jnl
On a new family of high-order iterative methods for the matrix
Numer. Linear Algebra Appl.
Sergio Amat, J. A. Ezquerro, M. A. Hernández-Verón
2015 J jnl
Unifying the Classical Approach with New Technologies: An Innovative Proposal for Teaching Mathematics in Engineering.
Int. J. Interact. Multim. Artif. Intell.
Sergio Amat, Sonia Busquier, María José Legaz, Juan Ruiz
2014 J jnl
Approximation of inverse operators by a new family of high-order iterative methods.
Numer. Linear Algebra Appl.
Sergio Amat, José Antonio Ezquerro, Miguel Ángel Hernández-Verón
2014 J jnl
Expanding the Applicability of High-Order Traub-Type Iterative Procedures.
J. Optim. Theory Appl.
Sergio Amat, Ioannis K. Argyros, Sonia Busquier, Saïd Hilout
2014 J jnl
Improving the applicability of the secant method to solve nonlinear systems of equations.
Appl. Math. Comput.
Sergio Amat, Miguel Ángel Hernández-Verón, M. Jóse Rubio
2014 J jnl
Improving the compression rate versus L 1 error ratio in cell-average error control algorithms.
Numer. Algorithms
Sergio Amat, Juan Ruiz, Juan Carlos Trillo
2014 J jnl
Newton-type methods on Riemannian manifolds under Kantorovich-type conditions.
Appl. Math. Comput.
Sergio Amat, Ioannis K. Argyros, Sonia Busquier, Rodrigo A. Castro, Saïd Hilout, Sergio Plaza
2014 J jnl
On a family of high-order iterative methods under gamma conditions with applications in denoising.
Numerische Mathematik
Sergio Amat, Miguel Ángel Hernández, Natalia Romero Álvarez
2014 J jnl
Third-order methods on Riemannian manifolds under Kantorovich conditions.
J. Comput. Appl. Math.
Sergio Amat, Sonia Busquier, Rodrigo A. Castro, Sergio Plaza
2013 J jnl
High order nonlinear interpolatory reconstruction operators and associated multiresolution schemes.
J. Comput. Appl. Math.
Sergio Amat, Karine Dadourian, Jacques Liandrat, Juan Carlos Trillo
2013 J jnl
Maximum efficiency for a family of Newton-like methods with frozen derivatives and some applications.
Appl. Math. Comput.
Sergio Amat, Sonia Busquier, Àngela Grau, Miquel Grau-Sánchez
2013 J jnl
Nonlinear thresholding of multiresolution decompositions adapted to the presence of discontinuities.
Adv. Comput. Math.
Sergio Amat, Jacques Liandrat
2013 J jnl
On a bilinear operator free third order method on Riemannian manifolds.
Appl. Math. Comput.
Sergio Amat, Ioannis K. Argyros, Sonia Busquier, Rodrigo A. Castro, Saïd Hilout, Sergio Plaza
2013 J jnl
On a two-step relaxed Newton-type method.
Appl. Math. Comput.
Sergio Amat, Ángel Alberto Magreñán, Natalia Romero Álvarez
2013 J jnl
On the approximation of derivatives using divided difference operators preserving the local convergence order of iterative methods.
J. Comput. Appl. Math.
Miquel Grau-Sánchez, Miquel Noguera, Sergio Amat
2013 J jnl
Proving convexity preserving properties of interpolatory subdivision schemes through reconstruction operators.
Appl. Math. Comput.
Sergio Amat, Rosa Donat, Juan Carlos Trillo
2012 J jnl
Adaptive interpolation of images using a new nonlinear cell-average scheme.
Math. Comput. Simul.
Sergio Amat, Juan Ruiz, Juan Carlos Trillo
2012 J jnl
On a Newton-Type Method for Differential-Algebraic Equations.
J. Appl. Math.
Sergio Amat, María José Legaz, Pablo Pedregal
2012 J jnl
On a compact non-extrapolating scheme for adaptive image interpolation.
J. Frankl. Inst.
Sergio Amat, Jacques Liandrat, Juan Ruiz, Juan Carlos Trillo
2012 J jnl
On two families of high order Newton type methods.
Appl. Math. Lett.
Sergio Amat, Sonia Busquier, Concepción Bermúdez, Sergio Plaza
2012 J jnl
Reciprocal polynomial extrapolation vs Richardson extrapolation for singular perturbed boundary problems.
Numer. Algorithms
Sergio Amat, Sonia Busquier, María José Legaz, Fernando Manzano, Juan Ruiz
2011 J jnl
A wavelet adaptive two-step Newton type method.
J. Frankl. Inst.
Sergio Amat, Sonia Busquier, Antonio Escudero, Fernando Manzano
2011 J jnl
Analysis of a class of nonlinear subdivision schemes and associated multiresolution transforms.
Adv. Comput. Math.
Sergio Amat, Karine Dadourian, Jacques Liandrat
2011 J jnl
Error bounds for a class of subdivision schemes based on the two-scale refinement equation.
J. Comput. Appl. Math.
María Moncayo, Sergio Amat
2011 J jnl
On a nonlinear subdivision scheme avoiding Gibbs oscillations and converging towards C
Math. Comput.
Sergio Amat, Karine Dadourian, Jacques Liandrat
2011 J jnl
Third-order iterative methods with applications to Hammerstein equations: A unified approach.
J. Comput. Appl. Math.
Sergio Amat, Sonia Busquier, José Manuel Gutiérrez Jiménez
2011 J jnl
Tight numerical bounds for digital terrain modeling by interpolatory subdivision schemes.
Math. Comput. Simul.
María Moncayo, J. F. Reinoso, Sergio Amat
2010 J jnl
A family of stable nonlinear nonseparable multiresolution schemes in 2D.
J. Comput. Appl. Math.
Sergio Amat, Karine Dadourian, Jacques Liandrat, Juan Ruiz, Juan Carlos Trillo
2010 J jnl
Fast Multiresolution Algorithms and Their Related Variational Problems for Image Denoising.
J. Sci. Comput.
Sergio Amat, Juan Ruiz, Juan Carlos Trillo
2010 J jnl
Non-uniform multiresolution analysis with supercompact multiwavelets.
J. Comput. Appl. Math.
Sergio Amat, María Moncayo
2010 J jnl
On a class of L
J. Comput. Appl. Math.
Sergio Amat, Karine Dadourian, Jacques Liandrat, Juan Ruiz, Juan Carlos Trillo
2010 J jnl
On a third-order Newton-type method free of bilinear operators.
Numer. Linear Algebra Appl.
Sergio Amat, Concepción Bermúdez, Sonia Busquier, Sergio Plaza
2009 J jnl
Exact error bounds for the reconstruction processes using interpolating wavelets.
Math. Comput. Simul.
Sergio Amat, María Moncayo
2009 J jnl
On the dynamics of some Newton's type iterative functions.
Int. J. Comput. Math.
Sergio Amat, Concepción Bermúdez, Sonia Busquier, P. Leauthier, Sergio Plaza
2008 J jnl
A modified Chebyshev's iterative method with at least sixth order of convergence.
Appl. Math. Comput.
Sergio Amat, Miguel Ángel Hernández-Verón, Natalia Romero Álvarez
2008 J jnl
High order iterative schemes for quadratic equations.
Numer. Algorithms
Virginia Alarcón, Sergio Amat, Sonia Busquier, Fernando Manzano
2008 J jnl
On the dynamics of the Euler iterative function.
Appl. Math. Comput.
Sergio Amat, Concepción Bermúdez, Sonia Busquier, Sergio Plaza
2008 J jnl
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Appl. Math. Comput.
Sergio Amat, María Moncayo
2008 J jnl
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Appl. Math. Comput.
Sergio Amat, María Moncayo
2008 J jnl
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Appl. Math. Comput.
Sergio Amat, María Moncayo
2007 J jnl
A fully adaptive multiresolution scheme for image processing.
Math. Comput. Model.
Sergio Amat, Rosa Donat, Jacques Liandrat, Juan Carlos Trillo
2007 J jnl
On multiresolution schemes using a stencil selection procedure: applications to ENO schemes.
Numer. Algorithms
Sergio Amat, Sonia Busquier, Juan Carlos Trillo
2006 J jnl
Analysis of a New Nonlinear Subdivision Scheme. Applications in Image Processing.
Found. Comput. Math.
Sergio Amat, Rosa Donat, Jacques Liandrat, Juan Carlos Trillo
2006 J jnl
On a Steffensen's type method and its behavior for semismooth equations.
Appl. Math. Comput.
Sergio Amat, Sonia Busquier
2006 J jnl
Point Values Hermite Multiresolution for Non-smooth Noisy Signals.
Computing
I. Ali, Sergio Amat, Juan Carlos Trillo
2005 J jnl
Constructing attracting periodic orbits of three third-order iterative methods.
Appl. Math. Comput.
Sergio Amat, Sonia Busquier, Sergio Plaza
2004 J jnl
A fast Chebyshev's method for quadratic equations.
Appl. Math. Comput.
Sergio Amat, Sonia Busquier, Dhafer El Kebir, José Molina
2004 J jnl
Dynamics of a family of third-order iterative methods that do not require using second derivatives.
Appl. Math. Comput.
Sergio Amat, Sonia Busquier, Sergio Plaza
2004 J jnl
On the local convergence of secant-type methods.
Int. J. Comput. Math.
Sergio Amat, Sonia Busquier, José Manuel Gutiérrez Jiménez
2003 J jnl
A modified secant method for semismooth equations.
Appl. Math. Lett.
Sergio Amat, Sonia Busquier
2003 J jnl
Nonseparable multiresolution with error control.
Appl. Math. Comput.
Sergio Amat
2003 J jnl
On a higher order Secant method.
Appl. Math. Comput.
Sergio Amat, Sonia Busquier
2002 J jnl
A Note on the Stability of ENO Multiresolution.
Int. J. Comput. Math.
Sergio Amat, Sonia Busquier
2002 J jnl
Tensor product multiresolution analysis with error control for compact image representation.
Signal Process.
Sergio Amat, Francesc Aràndiga, Albert Cohen, Rosa Donat