A Note on the Stability of ENO Multiresolution. - Sergio Amat; Sonia Busquier (Int. J. Comput. Math., 2002)

On a higher order Secant method. - Sergio Amat; Sonia Busquier (Appl. Math. Comput., 2003)

A modified secant method for semismooth equations. - Sergio Amat; Sonia Busquier (Appl. Math. Lett., 2003)

A fast Chebyshev's method for quadratic equations. - Sergio Amat; Sonia Busquier; Dhafer El Kebir; José Molina (Appl. Math. Comput., 2004)

Dynamics of a family of third-order iterative methods that do not require using second derivatives. - Sergio Amat; Sonia Busquier; Sergio Plaza (Appl. Math. Comput., 2004)

On the local convergence of secant-type methods. - Sergio Amat; Sonia Busquier; José Manuel Gutiérrez Jiménez (Int. J. Comput. Math., 2004)

Constructing attracting periodic orbits of three third-order iterative methods. - Sergio Amat; Sonia Busquier; Sergio Plaza (Appl. Math. Comput., 2005)

On a Steffensen's type method and its behavior for semismooth equations. - Sergio Amat; Sonia Busquier (Appl. Math. Comput., 2006)

On multiresolution schemes using a stencil selection procedure: applications to ENO schemes. - Sergio Amat; Sonia Busquier; Juan Carlos Trillo (Numer. Algorithms, 2007)

On the dynamics of the Euler iterative function. - Sergio Amat; Concepción Bermúdez; Sonia Busquier; Sergio Plaza (Appl. Math. Comput., 2008)

High order iterative schemes for quadratic equations. - Virginia Alarcón; Sergio Amat; Sonia Busquier; Fernando Manzano (Numer. Algorithms, 2008)

On the dynamics of some Newton's type iterative functions. - Sergio Amat; Concepción Bermúdez; Sonia Busquier; P. Leauthier; Sergio Plaza (Int. J. Comput. Math., 2009)

On a third-order Newton-type method free of bilinear operators. - Sergio Amat; Concepción Bermúdez; Sonia Busquier; Sergio Plaza (Numer. Linear Algebra Appl., 2010)

Third-order iterative methods with applications to Hammerstein equations: A unified approach. - Sergio Amat; Sonia Busquier; José Manuel Gutiérrez Jiménez (J. Comput. Appl. Math., 2011)

A wavelet adaptive two-step Newton type method. - Sergio Amat; Sonia Busquier; Antonio Escudero; Fernando Manzano (J. Frankl. Inst., 2011)

On two families of high order Newton type methods. - Sergio Amat; Sonia Busquier; Concepción Bermúdez; Sergio Plaza (Appl. Math. Lett., 2012)

Reciprocal polynomial extrapolation vs Richardson extrapolation for singular perturbed boundary problems. - Sergio Amat; Sonia Busquier; María José Legaz; Fernando Manzano; Juan Ruiz 001 (Numer. Algorithms, 2012)

On a bilinear operator free third order method on Riemannian manifolds. - Sergio Amat; Ioannis K. Argyros; Sonia Busquier; Rodrigo A. Castro; Saïd Hilout; Sergio Plaza (Appl. Math. Comput., 2013)

Maximum efficiency for a family of Newton-like methods with frozen derivatives and some applications. - Sergio Amat; Sonia Busquier; Àngela Grau; Miquel Grau-Sánchez (Appl. Math. Comput., 2013)

Newton-type methods on Riemannian manifolds under Kantorovich-type conditions. - Sergio Amat; Ioannis K. Argyros; Sonia Busquier; Rodrigo A. Castro; Saïd Hilout; Sergio Plaza (Appl. Math. Comput., 2014)

Third-order methods on Riemannian manifolds under Kantorovich conditions. - Sergio Amat; Sonia Busquier; Rodrigo A. Castro; Sergio Plaza (J. Comput. Appl. Math., 2014)

Expanding the Applicability of High-Order Traub-Type Iterative Procedures. - Sergio Amat; Ioannis K. Argyros; Sonia Busquier; Saïd Hilout (J. Optim. Theory Appl., 2014)

Expanding the Applicability of a Third Order Newton-Type Method Free of Bilinear Operators. - Sergio Amat; Sonia Busquier; Concepción Bermúdez; Ángel Alberto Magreñán (Algorithms, 2015)

Unifying the Classical Approach with New Technologies: An Innovative Proposal for Teaching Mathematics in Engineering. - Sergio Amat; Sonia Busquier; María José Legaz; Juan Ruiz 001 (Int. J. Interact. Multim. Artif. Intell., 2015)

A Steffensen type method of two steps in Banach spaces with applications. - Sergio Amat; Sonia Busquier; J. A. Ezquerro; M. A. Hernández-Verón (J. Comput. Appl. Math., 2016)

On the Efficiency of a Family of Steffensen-Like Methods with Frozen Divided Differences. - Sergio Amat; Sonia Busquier; Miquel Grau-Sánchez; Miguel Ángel Hernández-Verón (Comput. Methods Appl. Math., 2017)

Wavelets for the Maxwell's equations: An overview. - Sergio Amat; Pedro J. Blázquez Tobías; Sonia Busquier; Concepción Bermúdez (J. Comput. Appl. Math., 2017)

Local convergence and the dynamics of a two-point four parameter Jarratt-like method under weak conditions. - Sergio Amat; Ioannis K. Argyros; Sonia Busquier; Ángel Alberto Magreñán (Numer. Algorithms, 2017)

On the local convergence study for an efficient k-step iterative method. - Sergio Amat; Ioannis K. Argyros; Sonia Busquier; M. A. Hernández-Verón; Eulalia Martínez (J. Comput. Appl. Math., 2018)

On two high-order families of frozen Newton-type methods. - Sergio Amat; Ioannis K. Argyros; Sonia Busquier; M. A. Hernández-Verón (Numer. Linear Algebra Appl., 2018)

On the local and semilocal convergence of a parameterized multi-step Newton method. - Sergio Amat; Ioannis K. Argyros; Sonia Busquier; M. A. Hernández-Verón; Dionisio F. Yáñez (J. Comput. Appl. Math., 2020)

Detection, Measurement and Classification of Discontinuities of Signals Captured with Noise. - Sergio Amat; Sonia Busquier; Denys Orieshkin (Axioms, 2024)