Francisco R. Villatoro

Publication Activity (10 Years)

Years Active: 1999-2023
Publications (10 Years): 4

Top Topics

Hamilton Jacobi

Numerical Simulations

Phase Unwrapping

Outlier Detection

Top Venues

Commun. Nonlinear Sci. Numer. Simul.

Appl. Math. Comput.

IEEE Trans. Image Process.

Publications

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 (2023)
Francisca Martin-Vergara, Francisco Rus, Francisco R. Villatoro
Padé schemes with Richardson extrapolation for the sine-Gordon equation. Commun. Nonlinear Sci. Numer. Simul. 85 (2020)
Francisca Martin-Vergara, Francisco Rus, Francisco R. Villatoro
Padé numerical schemes for the sine-Gordon equation. Appl. Math. Comput. 358 (2019)
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) (2016)
Horacio D. Kuna, Ramón García-Martínez, Francisco R. Villatoro
Outlier detection in audit logs for application systems. Inf. Syst. 44 (2014)
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) (2013)
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 (2013)
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) (2012)
Julio Garralón, Francisco R. Villatoro
Numerical evaluation of compactons and kovatons of the K(cos) Rosenau-Pikovsky equation. Math. Comput. Model. 55 (7-8) (2012)
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) (2011)
Francisco R. Villatoro
Local error analysis of Evans-Sanugi, nonlinear one-step methods based on theta-means. Int. J. Comput. Math. 87 (5) (2010)
Francisco Rus, Francisco R. Villatoro
Time-stepping in Petrov-Galerkin methods based on cubic B-splines for compactons. Appl. Math. Comput. 217 (6) (2010)
Francisco R. Villatoro
Stability by order stars for non-linear theta-methods based on means. Int. J. Comput. Math. 87 (1) (2010)
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) (2009)
Francisco Rus, Francisco R. Villatoro
A repository of equations with cosine/sine compactons. Appl. Math. Comput. 215 (5) (2009)
Francisco Rus, Francisco R. Villatoro
Adiabatic perturbations for compactons under dissipation and numerically-induced dissipation. J. Comput. Phys. 228 (11) (2009)
Jezabel Pérez, Francisco R. Villatoro, J. L. 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) (2008)
Francisco R. Villatoro, Antonio J. Nebro, Jose E. Fernández
PVM-Distributed Implementation of the Radiance Code CoRR (2008)
Francisco Rus, Francisco R. Villatoro
Numerical methods based on modified equations for nonlinear evolution equations with compactons. Appl. Math. Comput. 204 (1) (2008)
Francisco Rus, Francisco R. Villatoro
Padé numerical method for the Rosenau-Hyman compacton equation. Math. Comput. Simul. 76 (1-3) (2007)
Francisco Rus, Francisco R. Villatoro
Self-similar radiation from numerical Rosenau-Hyman compactons. J. Comput. Phys. 227 (1) (2007)
Francisco R. Villatoro
Exponential stability of implicit Euler, discrete-time Hopfield neural networks. ESANN (2005)
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) (1999)
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) (1999)
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) (1999)
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) (1999)
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) (1999)
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) (1999)