Sonia Busquier

35 papers Journal 35
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
Third-order iterative methods with applications to Hammerstein equations: A unified approach.
J. Comput. Appl. Math.
Sergio Amat, Sonia Busquier, José Manuel Gutiérrez Jiménez
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
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
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
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
On a Steffensen's type method and its behavior for semismooth equations.
Appl. Math. Comput.
Sergio Amat, Sonia Busquier
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
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