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ORCIDFrancisco R. Villatoro
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- affiliation: University of Málaga, Spain
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Journal Articles
- 2023
[j26]Rubén Garralón-López, Francisco Rus, Francisco R. Villatoro
:
Compacton-anticompacton collisions in the Rosenau-Hyman K(p, p) equation by numerical simulations with hyperviscosity. Commun. Nonlinear Sci. Numer. Simul. 117: 106927 (2023)- 2020
- [j25]Francisca Martin-Vergara, Francisco Rus, Francisco R. Villatoro:
Padé schemes with Richardson extrapolation for the sine-Gordon equation. Commun. Nonlinear Sci. Numer. Simul. 85: 105243 (2020) - 2019
- [j24]Francisca Martin-Vergara, Francisco Rus, Francisco R. Villatoro:
Padé numerical schemes for the sine-Gordon equation. Appl. Math. Comput. 358: 232-243 (2019) - 2016
- [j23]Miguel Arevalillo-Herráez, Francisco R. Villatoro, Munther A. Gdeisat:
A Robust and Simple Measure for Quality-Guided 2D Phase Unwrapping Algorithms. IEEE Trans. Image Process. 25(6): 2601-2609 (2016) - 2014
- [j22]Horacio D. Kuna, Ramón García-Martínez, Francisco R. Villatoro:
Outlier detection in audit logs for application systems. Inf. Syst. 44: 22-33 (2014) - 2013
- [j21]Julio Garralón, Francisco Rus, Francisco R. Villatoro:
Removing trailing tails and delays induced by artificial dissipation in Padé numerical schemes for stable compacton collisions. Appl. Math. Comput. 220: 185-192 (2013) - [j20]Julio Garralón, Francisco Rus, Francisco R. Villatoro:
Numerical interactions between compactons and kovatons of the Rosenau-Pikovsky K(cos) equation. Commun. Nonlinear Sci. Numer. Simul. 18(7): 1576-1588 (2013) - 2012
- [j19]Francisco J. Blanco-Rodríguez, Francisco R. Villatoro, Juan I. Ramos:
Numerical analysis of the effect of small geometrical imperfections on photonic crystal wires. Appl. Math. Comput. 218(10): 5989-5993 (2012) - [j18]Julio Garralón, Francisco R. Villatoro:
Numerical evaluation of compactons and kovatons of the K(cos) Rosenau-Pikovsky equation. Math. Comput. Model. 55(7-8): 1858-1865 (2012) - 2011
- [j17]Miguel A. García-March, Fernando Giménez, Francisco R. Villatoro, Jezabel Pérez, Pedro Fernández de Córdoba:
Unisolvency for multivariate polynomial interpolation in Coatmèlec configurations of nodes. Appl. Math. Comput. 217(18): 7427-7431 (2011) - 2010
- [j16]Francisco Rus, Francisco R. Villatoro:
Time-stepping in Petrov-Galerkin methods based on cubic B-splines for compactons. Appl. Math. Comput. 217(6): 2788-2797 (2010) - [j15]Francisco R. Villatoro:
Stability by order stars for non-linear theta-methods based on means. Int. J. Comput. Math. 87(1): 226-242 (2010) - [j14]Francisco R. Villatoro:
Local error analysis of Evans-Sanugi, nonlinear one-step methods based on theta-means. Int. J. Comput. Math. 87(5): 1009-1022 (2010) - 2009
- [j13]Francisco Rus, Francisco R. Villatoro:
A repository of equations with cosine/sine compactons. Appl. Math. Comput. 215(5): 1838-1851 (2009) - [j12]Miguel A. García-March, Miguel Arevalillo-Herráez, Francisco R. Villatoro, Fernando Giménez, Pedro Fernández de Córdoba:
A generalized finite difference method using Coatmèlec lattices. Comput. Phys. Commun. 180(7): 1125-1133 (2009) - [j11]Francisco Rus, Francisco R. Villatoro:
Adiabatic perturbations for compactons under dissipation and numerically-induced dissipation. J. Comput. Phys. 228(11): 4291-4302 (2009) - 2008
- [j10]Francisco Rus, Francisco R. Villatoro:
Numerical methods based on modified equations for nonlinear evolution equations with compactons. Appl. Math. Comput. 204(1): 416-422 (2008) - [j9]Jezabel Pérez, Francisco R. Villatoro, Juan Luis González-Santander, M. A. Borovsky, Yu. L. Ratis, E. A. Izzheurov, Pedro Fernández de Córdoba:
Heat transfer between a gas and an ultralow thermal conductivity porous structure. Appl. Math. Comput. 204(2): 687-693 (2008) - 2007
- [j8]Francisco Rus, Francisco R. Villatoro:
Self-similar radiation from numerical Rosenau-Hyman compactons. J. Comput. Phys. 227(1): 440-454 (2007) - [j7]Francisco Rus, Francisco R. Villatoro:
Padé numerical method for the Rosenau-Hyman compacton equation. Math. Comput. Simul. 76(1-3): 188-192 (2007) - 1999
- [j6]Francisco R. Villatoro, Juan I. Ramos:
On the method of modified equations. I: Asymptotic analysis of the Euler forward difference method. Appl. Math. Comput. 103(2-3): 111-139 (1999) - [j5]Francisco R. Villatoro, Juan I. Ramos:
On the method of modified equations. II: Numerical techniques based on the equivalent equation for the Euler forward difference method. Appl. Math. Comput. 103(2-3): 141-177 (1999) - [j4]Francisco R. Villatoro, Juan I. Ramos:
On the method of modified equations. III. Numerical techniques based on the second equivalent equation for the Euler forward difference method. Appl. Math. Comput. 103(2-3): 179-212 (1999) - [j3]Francisco R. Villatoro, Juan I. Ramos:
On the method of modified equations. IV. Numerical techniques based on the modified equation for the Euler forward difference method. Appl. Math. Comput. 103(2-3): 213-240 (1999) - [j2]Francisco R. Villatoro, Juan I. Ramos:
On the method of modified equations. V: Asymptotic analysis of and direct-correction and asymptotic successive-correction techniques for the implicit midpoint method. Appl. Math. Comput. 103(2-3): 241-285 (1999) - [j1]Francisco R. Villatoro, Juan I. Ramos:
On the method of modified equations. VI: Asymptotic analysis of and asymptotic successive-corrections techniques for two-point, boundary-value problems in ODE's. Appl. Math. Comput. 105(2-3): 137-171 (1999)
Conference and Workshop Papers
- 2005
- [c1]Francisco R. Villatoro:
Exponential stability of implicit Euler, discrete-time Hopfield neural networks. ESANN 2005: 49-54
Informal and Other Publications
- 2008
- [i1]Francisco R. Villatoro, Antonio J. Nebro, Jose E. Fernández:
PVM-Distributed Implementation of the Radiance Code. CoRR abs/0802.3355 (2008)
Coauthor Index
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