Sonia Busquier

Publication Activity (10 Years)

Years Active: 2002-2024
Publications (10 Years): 10

Top Topics

Teaching Mathematics

Top Venues

J. Comput. Appl. Math.

J. Optim. Theory Appl.

Int. J. Interact. Multim. Artif. Intell.

Appl. Math. Comput.

Publications

Sergio Amat, Sonia Busquier, Denys Orieshkin
Detection, Measurement and Classification of Discontinuities of Signals Captured with Noise. Axioms 13 (1) (2024)
Sergio Amat, Ioannis K. Argyros, Sonia Busquier, M. A. Hernández-Verón, Dionisio F. Yáñez
On the local and semilocal convergence of a parameterized multi-step Newton method. J. Comput. Appl. Math. 376 (2020)
Sergio Amat, Ioannis K. Argyros, Sonia Busquier, M. A. Hernández-Verón, Eulalia Martínez
On the local convergence study for an efficient k-step iterative method. J. Comput. Appl. Math. 343 (2018)
Sergio Amat, Ioannis K. Argyros, Sonia Busquier, M. A. Hernández-Verón
On two high-order families of frozen Newton-type methods. Numer. Linear Algebra Appl. 25 (1) (2018)
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) (2017)
Sergio Amat, Pedro J. Blázquez Tobías, Sonia Busquier, Concepción Bermúdez
Wavelets for the Maxwell's equations: An overview. J. Comput. Appl. Math. 321 (2017)
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) (2017)
Sergio Amat, Sonia Busquier, J. A. Ezquerro, M. A. Hernández-Verón
A Steffensen type method of two steps in Banach spaces with applications. J. Comput. Appl. Math. 291 (2016)
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) (2015)
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) (2015)
Sergio Amat, Sonia Busquier, Rodrigo Castro, Sergio Plaza
Third-order methods on Riemannian manifolds under Kantorovich conditions. J. Comput. Appl. Math. 255 (2014)
Sergio Amat, Ioannis K. Argyros, Sonia Busquier, Rodrigo Castro, Saïd Hilout, Sergio Plaza
Newton-type methods on Riemannian manifolds under Kantorovich-type conditions. Appl. Math. Comput. 227 (2014)
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) (2014)
Sergio Amat, Sonia Busquier, Àngela Grau, Miquel Grau-Sánchez
Maximum efficiency for a family of Newton-like methods with frozen derivatives and some applications. Appl. Math. Comput. 219 (15) (2013)
Sergio Amat, Ioannis K. Argyros, Sonia Busquier, Rodrigo Castro, Saïd Hilout, Sergio Plaza
On a bilinear operator free third order method on Riemannian manifolds. Appl. Math. Comput. 219 (14) (2013)
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) (2012)
Sergio Amat, Sonia Busquier, Concepción Bermúdez, Sergio Plaza
On two families of high order Newton type methods. Appl. Math. Lett. 25 (12) (2012)
Sergio Amat, Sonia Busquier, A. Escudero, Fernando Manzano
A wavelet adaptive two-step Newton type method. J. Frankl. Inst. 348 (5) (2011)
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) (2011)
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) (2010)
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) (2009)
Sergio Amat, Concepción Bermúdez, Sonia Busquier, Sergio Plaza
On the dynamics of the Euler iterative function. Appl. Math. Comput. 197 (2) (2008)
Virginia Alarcón, Sergio Amat, Sonia Busquier, Fernando Manzano
High order iterative schemes for quadratic equations. Numer. Algorithms 48 (4) (2008)
Sergio Amat, Sonia Busquier, Juan Carlos Trillo
On multiresolution schemes using a stencil selection procedure: applications to ENO schemes. Numer. Algorithms 44 (1) (2007)
Sergio Amat, Sonia Busquier
On a Steffensen's type method and its behavior for semismooth equations. Appl. Math. Comput. 177 (2) (2006)
Sergio Amat, Sonia Busquier, Sergio Plaza
Constructing attracting periodic orbits of three third-order iterative methods. Appl. Math. Comput. 161 (2) (2005)
Sergio Amat, Sonia Busquier, Dhafer El Kebir, José Molina
A fast Chebyshev's method for quadratic equations. Appl. Math. Comput. 148 (2) (2004)
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) (2004)
Sergio Amat, Sonia Busquier, José Manuel Gutiérrez Jiménez
On the local convergence of secant-type methods. Int. J. Comput. Math. 81 (9) (2004)
Sergio Amat, Sonia Busquier
A modified secant method for semismooth equations. Appl. Math. Lett. 16 (6) (2003)
Sergio Amat, Sonia Busquier
On a higher order Secant method. Appl. Math. Comput. 141 (2-3) (2003)
Sergio Amat, Sonia Busquier
A Note on the Stability of ENO Multiresolution. Int. J. Comput. Math. 79 (10) (2002)