Sonia Busquier

According to our database, Sonia Busquier authored at least 34 papers between 2002 and 2025.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of five.

2025

On a nonlinear version of Lane-Riesenfeld's subdivision schemes converging to piecewise smooth functions preserving high regularity.

Sergio Amat, Sonia Busquier, David Levin, Juan Ruiz, Dionisio F. Yáñez

Comput. Aided Geom. Des., 2025

Algorithm-Based Real-Time Analysis of Training Phases in Competitive Canoeing: An Automated Approach for Performance Monitoring.

Sergio Amat, Sonia Busquier, Carlos D. Gómez-Carmona, Manuel Gómez-López, José Pino-Ortega

Algorithms, 2025

2024

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

Sergio Amat, Sonia Busquier, Denys Orieshkin

Axioms, January, 2024

2020

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

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 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

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

Wavelets for the Maxwell's equations: An overview.

Sergio Amat, Pedro J. Blázquez Tobías, Sonia Busquier, Concepción Bermúdez

J. Comput. Appl. Math., 2017

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

2016

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

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

Int. J. Interact. Multim. Artif. Intell., 2015

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

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

Third-order methods on Riemannian manifolds under Kantorovich conditions.

Sergio Amat, Sonia Busquier, Rodrigo A. Castro, Sergio Plaza

J. Comput. Appl. Math., 2014

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

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

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

2012

Reciprocal polynomial extrapolation vs Richardson extrapolation for singular perturbed boundary problems.

Sergio Amat, Sonia Busquier, María José Legaz, Fernando Manzano, Juan Ruiz

Numer. Algorithms, 2012

On two families of high order Newton type methods.

Sergio Amat, Sonia Busquier, Concepción Bermúdez, Sergio Plaza

Appl. Math. Lett., 2012

2011

A wavelet adaptive two-step Newton type method.

Sergio Amat, Sonia Busquier, Antonio Escudero, Fernando Manzano

J. Frankl. Inst., 2011

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

2010

On a third-order Newton-type method free of bilinear operators.

Sergio Amat, Concepción Bermúdez, Sonia Busquier, Sergio Plaza

Numer. Linear Algebra Appl., 2010

2009

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

2008

High order iterative schemes for quadratic equations.

Virginia Alarcón, Sergio Amat, Sonia Busquier, Fernando Manzano

Numer. Algorithms, 2008

On the dynamics of the Euler iterative function.

Sergio Amat, Concepción Bermúdez, Sonia Busquier, Sergio Plaza

Appl. Math. Comput., 2008

2007

On multiresolution schemes using a stencil selection procedure: applications to ENO schemes.

Sergio Amat, Sonia Busquier, Juan Carlos Trillo

Numer. Algorithms, 2007

2006

On a Steffensen's type method and its behavior for semismooth equations.

Sergio Amat, Sonia Busquier

Appl. Math. Comput., 2006

2005

Constructing attracting periodic orbits of three third-order iterative methods.

Sergio Amat, Sonia Busquier, Sergio Plaza

Appl. Math. Comput., 2005

2004

On the local convergence of secant-type methods.

Sergio Amat, Sonia Busquier, José Manuel Gutiérrez Jiménez

Int. J. Comput. Math., 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

A fast Chebyshev's method for quadratic equations.

Sergio Amat, Sonia Busquier, Dhafer El Kebir, José Molina

Appl. Math. Comput., 2004

2003

A modified secant method for semismooth equations.

Sergio Amat, Sonia Busquier

Appl. Math. Lett., 2003

On a higher order Secant method.

Sergio Amat, Sonia Busquier

Appl. Math. Comput., 2003

2002

A Note on the Stability of ENO Multiresolution.

Sergio Amat, Sonia Busquier

Int. J. Comput. Math., 2002