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Sergio Amat
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2020 – today
- 2024
- [j93]Sergio Amat, Sonia Busquier, Denys Orieshkin:
Detection, Measurement and Classification of Discontinuities of Signals Captured with Noise. Axioms 13(1): 63 (2024) - 2023
- [j92]Sergio Amat, David Levin, Juan Ruiz-Álvarez
, Dionisio F. Yáñez
A new B-spline type approximation method for non-smooth functions. Appl. Math. Lett. 141: 108628 (2023) - [j91]Sergio Amat
A new family of means: the generalized weighted power means and applications. Int. J. Comput. Math. 100(2): 422-439 (2023) - [j90]Sergio Amat, Zhilin Li
Adapting Cubic Hermite Splines to the Presence of Singularities Through Correction Terms. J. Sci. Comput. 95(3): 84 (2023) - [j89]Sergio Amat, Pedro Ortiz, Juan Ruiz
The translation operator. Applications to nonlinear reconstruction operators on nonuniform grids. Math. Comput. Simul. 203: 408-424 (2023) - [j88]Sergio Amat, Zhilin Li
Numerical integration rules with improved accuracy close to discontinuities. Math. Comput. Simul. 210: 593-614 (2023) - [i10]Sergio Amat, David Levin, Juan Ruiz-Álvarez
Non-linear WENO B-spline based approximation method. CoRR abs/2308.06153 (2023) - 2022
- [j87]Sergio Amat, David Levin, Juan Ruiz-Álvarez
Explicit multivariate approximations from cell-average data. Adv. Comput. Math. 48(6): 85 (2022) - [j86]Sergio Amat, Juan Ruiz-Álvarez
On the approximation of derivative values using a WENO algorithm with progressive order of accuracy close to discontinuities. Comput. Appl. Math. 41(6) (2022) - [j85]Sergio Amat, David Levin, Juan Ruiz-Álvarez
A class of C2 quasi-interpolating splines free of Gibbs phenomenon. Numer. Algorithms 91(1): 51-79 (2022) - [i9]Sergio Amat, David Levin, Juan Ruiz-Álvarez, Dionisio F. Yáñez:
Global and explicit approximation of piecewise smooth 2D functions from cell-average data. CoRR abs/2201.10823 (2022) - [i8]Sergio Amat, Pedro Ortiz, Juan Ruiz, Juan Carlos Trillo, Dionisio F. Yáñez:
A nonlinear PPH-type reconstruction based on equilateral triangles. CoRR abs/2202.02293 (2022) - [i7]Sergio Amat, P. Ortiz, Juan Ruiz, Juan Carlos Trillo, Dionisio F. Yáñez:
Geometric representation of the weighted harmonic mean of n positive values and potential uses. CoRR abs/2202.09200 (2022) - [i6]Sergio Amat, Zhilin Li, Juan Ruiz-Álvarez
Numerical integration rules with improved accuracy close to singularities. CoRR abs/2209.03049 (2022) - 2021
- [j84]Sergio Amat, Juan Ruiz-Álvarez
Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing. Appl. Math. Comput. 403: 126131 (2021) - [i5]Sergio Amat, David Levin, Juan Ruiz-Álvarez, Dionisio F. Yáñez:
Explicit multivariate approximations from cell-average data. CoRR abs/2112.10119 (2021) - 2020
- [j83]Sergio Amat, Juan Ruiz
On a new WENO algorithm of order 2r with improved accuracy close to discontinuities. Appl. Math. Lett. 105: 106298 (2020) - [j82]Sergio Amat, Ángel Alberto Magreñán
On the use of generalized harmonic means in image processing using multiresolution algorithms. Int. J. Comput. Math. 97(1-2): 455-466 (2020) - [j81]Sergio Amat, Ángel Alberto Magreñán
On the application of Lehmer means in signal and image processing. Int. J. Comput. Math. 97(7): 1503-1528 (2020) - [j80]Sergio Amat, Ioannis K. Argyros, Sonia Busquier, M. A. Hernández-Verón
On the local and semilocal convergence of a parameterized multi-step Newton method. J. Comput. Appl. Math. 376: 112843 (2020) - [j79]Sergio Amat, Juan Ruiz
On a family of non-oscillatory subdivision schemes having regularity Cr with r > 1. Numer. Algorithms 85(2): 543-569 (2020) - [j78]Sergio Amat, Juan Ruiz
A New WENO-2r Algorithm with Progressive Order of Accuracy Close to Discontinuities. SIAM J. Numer. Anal. 58(6): 3448-3474 (2020) - [i4]Sergio Amat, Juan Ruiz, Chi-Wang Shu, Dionisio F. Yáñez:
A new WENO-2r algorithm with progressive order of accuracy close to discontinuities. CoRR abs/2005.06747 (2020) - [i3]Sergio Amat, Juan Ruiz, Chi-Wang Shu, Dionisio F. Yáñez:
Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing. CoRR abs/2009.09476 (2020) - [i2]Sergio Amat, David Levin, Juan Ruiz-Álvarez:
Corrected approximation strategy for piecewise smooth bivariate functions. CoRR abs/2012.01552 (2020) - [i1]Sergio Amat, David Levin, Juan Ruiz-Álvarez:
Corrected subdivision approximation of piecewise smooth functions. CoRR abs/2012.01575 (2020)
2010 – 2019
- 2019
- [j77]Ramandeep Behl
An efficient optimal family of sixteenth order methods for nonlinear models. J. Comput. Appl. Math. 354: 271-285 (2019) - [j76]Sergio Amat, Juan Ruiz
On a stable family of four-point nonlinear subdivision schemes eliminating the Gibbs phenomenon. J. Comput. Appl. Math. 354: 310-325 (2019) - [j75]Sergio Amat, Juan Ruiz
On an algorithm to adapt spline approximations to the presence of discontinuities. Numer. Algorithms 80(3): 903-936 (2019) - [j74]Sergio Amat, Juan Ruiz
On New Strategies to Control the Accuracy of WENO Algorithms Close to Discontinuities. SIAM J. Numer. Anal. 57(3): 1205-1237 (2019) - 2018
- [j73]Sergio Amat, A. Choutri, Juan Ruiz
On a nonlinear 4-point ternary and non-interpolatory subdivision scheme eliminating the Gibbs phenomenon. Appl. Math. Comput. 320: 16-26 (2018) - [j72]Sergio Amat, Juan Ruiz
Analysis of the Gibbs phenomenon in stationary subdivision schemes. Appl. Math. Lett. 76: 157-163 (2018) - [j71]Sergio Amat, Ioannis K. Argyros, Sonia Busquier, M. A. Hernández-Verón
On the local convergence study for an efficient k-step iterative method. J. Comput. Appl. Math. 343: 753-761 (2018) - [j70]Sergio Amat, Zhilin Li
On an New Algorithm for Function Approximation with Full Accuracy in the Presence of Discontinuities Based on the Immersed Interface Method. J. Sci. Comput. 75(3): 1500-1534 (2018) - [j69]Sergio Amat, Jacques Liandrat, María Moncayo, Juan Ruiz
On a class of three points cell-average multiresolution schemes. Math. Comput. Simul. 148: 66-93 (2018) - [j68]Sergio Amat
On two high-order families of frozen Newton-type methods. Numer. Linear Algebra Appl. 25(1) (2018) - 2017
- [j67]Sergio Amat, Ioannis K. Argyros
Expanding the Applicability of Some High Order Househölder-Like Methods. Algorithms 10(2): 64 (2017) - [j66]Sergio Amat, Sonia Busquier, Miquel Grau-Sánchez, Miguel Ángel Hernández-Verón
On the Efficiency of a Family of Steffensen-Like Methods with Frozen Divided Differences. Comput. Methods Appl. Math. 17(2): 187 (2017) - [j65]Sergio Amat, Pedro J. Blázquez Tobías, Sonia Busquier, Concepción Bermúdez:
Wavelets for the Maxwell's equations: An overview. J. Comput. Appl. Math. 321: 555-565 (2017) - [j64]Sergio Amat, Juan Ruiz
New WENO Smoothness Indicators Computationally Efficient in the Presence of Corner Discontinuities. J. Sci. Comput. 71(3): 1265-1302 (2017) - [j63]Sergio Amat, Ioannis K. Argyros, Sonia Busquier, Ángel Alberto Magreñán
Local convergence and the dynamics of a two-point four parameter Jarratt-like method under weak conditions. Numer. Algorithms 74(2): 371-391 (2017) - [j62]Sergio Amat, Vicente F. Candela:
On the convergence of a local third order shock capturing method for hyperbolic conservation laws. Numer. Algorithms 74(4): 1011-1028 (2017) - [j61]Sergio Amat, Jacques Liandrat, Juan Ruiz
On a Power WENO Scheme with Improved Accuracy Near Discontinuities. SIAM J. Sci. Comput. 39(6) (2017) - 2016
- [j60]Sergio Amat, Sonia Busquier, J. A. Ezquerro
A Steffensen type method of two steps in Banach spaces with applications. J. Comput. Appl. Math. 291: 317-331 (2016) - [j59]Sergio Amat, Concepción Bermúdez, M. A. Hernández-Verón
On an efficient k-step iterative method for nonlinear equations. J. Comput. Appl. Math. 302: 258-271 (2016) - [j58]Sergio Amat, Jacques Liandrat, Juan Ruiz
On a nonlinear mean and its application to image compression using multiresolution schemes. Numer. Algorithms 71(4): 729-752 (2016) - 2015
- [j57]Sergio Amat, Sonia Busquier, Concepción Bermúdez, Ángel Alberto Magreñán
Expanding the Applicability of a Third Order Newton-Type Method Free of Bilinear Operators. Algorithms 8(3): 669-679 (2015) - [j56]Sergio Amat, Sonia Busquier, María José Legaz, Juan Ruiz:
Unifying the Classical Approach with New Technologies: An Innovative Proposal for Teaching Mathematics in Engineering. Int. J. Interact. Multim. Artif. Intell. 3(4): 17-19 (2015) - [j55]Sergio Amat, Jacques Liandrat, Juan Ruiz
On a family of nonlinear cell-average multiresolution schemes for image processing: An experimental study. Math. Comput. Simul. 118: 30-48 (2015) - [j54]Sergio Amat, María José Legaz, Pablo Pedregal
A variable step-size implementation of a variational method for stiff differential equations. Math. Comput. Simul. 118: 49-57 (2015) - [j53]Sergio Amat, J. A. Ezquerro
On a new family of high-order iterative methods for the matrix pth root. Numer. Linear Algebra Appl. 22(4): 585-595 (2015) - 2014
- [j52]Sergio Amat, Ioannis K. Argyros, Sonia Busquier, Rodrigo A. Castro
Newton-type methods on Riemannian manifolds under Kantorovich-type conditions. Appl. Math. Comput. 227: 762-787 (2014) - [j51]Sergio Amat, Miguel Ángel Hernández-Verón
Improving the applicability of the secant method to solve nonlinear systems of equations. Appl. Math. Comput. 247: 741-752 (2014) - [j50]Sergio Amat, Sonia Busquier, Rodrigo A. Castro
Third-order methods on Riemannian manifolds under Kantorovich conditions. J. Comput. Appl. Math. 255: 106-121 (2014) - [j49]Sergio Amat, Ioannis K. Argyros, Sonia Busquier, Saïd Hilout:
Expanding the Applicability of High-Order Traub-Type Iterative Procedures. J. Optim. Theory Appl. 161(3): 837-852 (2014) - [j48]Sergio Amat, Juan Ruiz
Improving the compression rate versus L 1 error ratio in cell-average error control algorithms. Numer. Algorithms 67(1): 145-162 (2014) - [j47]Sergio Amat, José Antonio Ezquerro
Approximation of inverse operators by a new family of high-order iterative methods. Numer. Linear Algebra Appl. 21(5): 629-644 (2014) - [j46]Sergio Amat, Miguel Ángel Hernández
On a family of high-order iterative methods under gamma conditions with applications in denoising. Numerische Mathematik 127(2): 201-221 (2014) - 2013
- [j45]Sergio Amat, Jacques Liandrat:
Nonlinear thresholding of multiresolution decompositions adapted to the presence of discontinuities. Adv. Comput. Math. 38(1): 133-146 (2013) - [j44]Sergio Amat, Rosa Donat
Proving convexity preserving properties of interpolatory subdivision schemes through reconstruction operators. Appl. Math. Comput. 219(14): 7413-7421 (2013) - [j43]Sergio Amat, Ioannis K. Argyros, Sonia Busquier, Rodrigo A. Castro
On a bilinear operator free third order method on Riemannian manifolds. Appl. Math. Comput. 219(14): 7429-7444 (2013) - [j42]Sergio Amat, Sonia Busquier, Àngela Grau
Maximum efficiency for a family of Newton-like methods with frozen derivatives and some applications. Appl. Math. Comput. 219(15): 7954-7963 (2013) - [j41]Sergio Amat, Ángel Alberto Magreñán
On a two-step relaxed Newton-type method. Appl. Math. Comput. 219(24): 11341-11347 (2013) - [j40]Miquel Grau-Sánchez, Miquel Noguera
On the approximation of derivatives using divided difference operators preserving the local convergence order of iterative methods. J. Comput. Appl. Math. 237(1): 363-372 (2013) - [j39]Sergio Amat, Karine Dadourian, Jacques Liandrat, Juan Carlos Trillo
High order nonlinear interpolatory reconstruction operators and associated multiresolution schemes. J. Comput. Appl. Math. 253: 163-180 (2013) - 2012
- [j38]Sergio Amat, Sonia Busquier, Concepción Bermúdez, Sergio Plaza:
On two families of high order Newton type methods. Appl. Math. Lett. 25(12): 2209-2217 (2012) - [j37]Sergio Amat, María José Legaz, Pablo Pedregal
On a Newton-Type Method for Differential-Algebraic Equations. J. Appl. Math. 2012: 718608:1-718608:15 (2012) - [j36]Sergio Amat, Jacques Liandrat, Juan Ruiz
On a compact non-extrapolating scheme for adaptive image interpolation. J. Frankl. Inst. 349(5): 1637-1647 (2012) - [j35]Sergio Amat, Juan Ruiz
Adaptive interpolation of images using a new nonlinear cell-average scheme. Math. Comput. Simul. 82(9): 1586-1596 (2012) - [j34]Sergio Amat, Sonia Busquier, María José Legaz, Fernando Manzano, Juan Ruiz
Reciprocal polynomial extrapolation vs Richardson extrapolation for singular perturbed boundary problems. Numer. Algorithms 61(4): 631-647 (2012) - 2011
- [j33]Sergio Amat, Karine Dadourian, Jacques Liandrat:
Analysis of a class of nonlinear subdivision schemes and associated multiresolution transforms. Adv. Comput. Math. 34(3): 253-277 (2011) - [j32]Sergio Amat, Sonia Busquier, José Manuel Gutiérrez Jiménez
Third-order iterative methods with applications to Hammerstein equations: A unified approach. J. Comput. Appl. Math. 235(9): 2936-2943 (2011) - [j31]María Moncayo, Sergio Amat:
Error bounds for a class of subdivision schemes based on the two-scale refinement equation. J. Comput. Appl. Math. 236(2): 265-278 (2011) - [j30]Sergio Amat, Sonia Busquier, Antonio Escudero, Fernando Manzano:
A wavelet adaptive two-step Newton type method. J. Frankl. Inst. 348(5): 823-831 (2011) - [j29]María Moncayo, J. F. Reinoso, Sergio Amat:
Tight numerical bounds for digital terrain modeling by interpolatory subdivision schemes. Math. Comput. Simul. 81(10): 2258-2269 (2011) - [j28]Sergio Amat, Karine Dadourian, Jacques Liandrat:
On a nonlinear subdivision scheme avoiding Gibbs oscillations and converging towards Cs functions with s>1. Math. Comput. 80(274): 959-971 (2011) - 2010
- [j27]Sergio Amat, Karine Dadourian, Jacques Liandrat, Juan Ruiz, Juan Carlos Trillo
On a class of L1-stable nonlinear cell-average multiresolution schemes. J. Comput. Appl. Math. 234(4): 1129-1139 (2010) - [j26]Sergio Amat, Karine Dadourian, Jacques Liandrat, Juan Ruiz
A family of stable nonlinear nonseparable multiresolution schemes in 2D. J. Comput. Appl. Math. 234(4): 1277-1290 (2010) - [j25]Sergio Amat, María Moncayo:
Non-uniform multiresolution analysis with supercompact multiwavelets. J. Comput. Appl. Math. 235(1): 334-340 (2010) - [j24]Sergio Amat, Juan Ruiz, Juan Carlos Trillo
Fast Multiresolution Algorithms and Their Related Variational Problems for Image Denoising. J. Sci. Comput. 43(1): 1-23 (2010) - [j23]Sergio Amat, Concepción Bermúdez, Sonia Busquier, Sergio Plaza:
On a third-order Newton-type method free of bilinear operators. Numer. Linear Algebra Appl. 17(4): 639-653 (2010)
2000 – 2009
- 2009
- [j22]Sergio Amat, Concepción Bermúdez, Sonia Busquier, P. Leauthier, Sergio Plaza:
On the dynamics of some Newton's type iterative functions. Int. J. Comput. Math. 86(4): 631-639 (2009) - [j21]Sergio Amat, María Moncayo:
Exact error bounds for the reconstruction processes using interpolating wavelets. Math. Comput. Simul. 79(12): 3547-3555 (2009) - 2008
- [j20]Sergio Amat, Concepción Bermúdez, Sonia Busquier, Sergio Plaza:
On the dynamics of the Euler iterative function. Appl. Math. Comput. 197(2): 725-732 (2008) - [j19]Sergio Amat, María Moncayo:
linfinity-Stability for linear multiresolution algorithms: A new explicit approach. Part I: The basic rules and the Daubechies case. Appl. Math. Comput. 206(1): 74-91 (2008) - [j18]Sergio Amat, María Moncayo:
linfinity-Stability for linear multiresolution algorithms: A new explicit approach. Part II: The cases of Symlets, Coiflets, biorthogonal wavelets and supercompact multiwavelets. Appl. Math. Comput. 206(1): 92-103 (2008) - [j17]Sergio Amat, María Moncayo:
linfinity-Stability for linear multiresolution algorithms: A new explicit approach. Part III: The 2-D case. Appl. Math. Comput. 206(1): 104-112 (2008) - [j16]Sergio Amat, Miguel Ángel Hernández-Verón
A modified Chebyshev's iterative method with at least sixth order of convergence. Appl. Math. Comput. 206(1): 164-174 (2008) - [j15]Virginia Alarcón
High order iterative schemes for quadratic equations. Numer. Algorithms 48(4): 373-381 (2008) - 2007
- [j14]Sergio Amat, Rosa Donat
A fully adaptive multiresolution scheme for image processing. Math. Comput. Model. 46(1-2): 2-11 (2007) - [j13]Sergio Amat, Sonia Busquier, Juan Carlos Trillo
On multiresolution schemes using a stencil selection procedure: applications to ENO schemes. Numer. Algorithms 44(1): 45-68 (2007) - 2006
- [j12]Sergio Amat, Sonia Busquier:
On a Steffensen's type method and its behavior for semismooth equations. Appl. Math. Comput. 177(2): 819-823 (2006) - [j11]I. Ali, Sergio Amat, Juan Carlos Trillo
Point Values Hermite Multiresolution for Non-smooth Noisy Signals. Computing 77(3): 223-236 (2006) - [j10]Sergio Amat, Rosa Donat
Analysis of a New Nonlinear Subdivision Scheme. Applications in Image Processing. Found. Comput. Math. 6(2): 193-225 (2006) - 2005
- [j9]Sergio Amat, Sonia Busquier, Sergio Plaza:
Constructing attracting periodic orbits of three third-order iterative methods. Appl. Math. Comput. 161(2): 679-690 (2005) - 2004
- [j8]Sergio Amat, Sonia Busquier, Dhafer El Kebir, José Molina:
A fast Chebyshev's method for quadratic equations. Appl. Math. Comput. 148(2): 461-474 (2004) - [j7]Sergio Amat, Sonia Busquier, Sergio Plaza:
Dynamics of a family of third-order iterative methods that do not require using second derivatives. Appl. Math. Comput. 154(3): 735-746 (2004) - [j6]Sergio Amat, Sonia Busquier, José Manuel Gutiérrez Jiménez
On the local convergence of secant-type methods. Int. J. Comput. Math. 81(9): 1153-1161 (2004) - 2003
- [j5]Sergio Amat, Sonia Busquier:
On a higher order Secant method. Appl. Math. Comput. 141(2-3): 321-329 (2003) - [j4]Sergio Amat:
Nonseparable multiresolution with error control. Appl. Math. Comput. 145(1): 117-132 (2003) - [j3]Sergio Amat, Sonia Busquier:
A modified secant method for semismooth equations. Appl. Math. Lett. 16(6): 877-881 (2003) - 2002
- [j2]Sergio Amat, Sonia Busquier:
A Note on the Stability of ENO Multiresolution. Int. J. Comput. Math. 79(10): 1093-1098 (2002) - [j1]Sergio Amat, Francesc Aràndiga
Tensor product multiresolution analysis with error control for compact image representation. Signal Process. 82(4): 587-608 (2002)
Coauthor Index
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