On the method of modified equations. I: Asymptotic analysis of the Euler forward difference method. - Francisco R. Villatoro; Juan I. Ramos 001 (Appl. Math. Comput., 1999)

On the method of modified equations. II: Numerical techniques based on the equivalent equation for the Euler forward difference method. - Francisco R. Villatoro; Juan I. Ramos 001 (Appl. Math. Comput., 1999)

On the method of modified equations. III. Numerical techniques based on the second equivalent equation for the Euler forward difference method. - Francisco R. Villatoro; Juan I. Ramos 001 (Appl. Math. Comput., 1999)

On the method of modified equations. IV. Numerical techniques based on the modified equation for the Euler forward difference method. - Francisco R. Villatoro; Juan I. Ramos 001 (Appl. Math. Comput., 1999)

On the method of modified equations. V: Asymptotic analysis of and direct-correction and asymptotic successive-correction techniques for the implicit midpoint method. - Francisco R. Villatoro; Juan I. Ramos 001 (Appl. Math. Comput., 1999)

On the method of modified equations. VI: Asymptotic analysis of and asymptotic successive-corrections techniques for two-point, boundary-value problems in ODE's. - Francisco R. Villatoro; Juan I. Ramos 001 (Appl. Math. Comput., 1999)

Exponential stability of implicit Euler, discrete-time Hopfield neural networks. - Francisco R. Villatoro (ESANN, 2005)

Self-similar radiation from numerical Rosenau-Hyman compactons. - Francisco Rus; Francisco R. Villatoro (J. Comput. Phys., 2007)

Padé numerical method for the Rosenau-Hyman compacton equation. - Francisco Rus; Francisco R. Villatoro (Math. Comput. Simul., 2007)

Heat transfer between a gas and an ultralow thermal conductivity porous structure. - Jezabel Pérez; Francisco R. Villatoro; Juan Luis González-Santander; M. A. Borovsky; Yu. L. Ratis; E. A. Izzheurov; Pedro Fernández de Córdoba (Appl. Math. Comput., 2008)

Numerical methods based on modified equations for nonlinear evolution equations with compactons. - Francisco Rus; Francisco R. Villatoro (Appl. Math. Comput., 2008)

PVM-Distributed Implementation of the Radiance Code - Francisco R. Villatoro; Antonio J. Nebro; Jose E. Fernández (CoRR, 2008)

A repository of equations with cosine/sine compactons. - Francisco Rus; Francisco R. Villatoro (Appl. Math. Comput., 2009)

A generalized finite difference method using Coatmèlec lattices. - Miguel A. García-March; Miguel Arevalillo-Herráez; Francisco R. Villatoro; Fernando Giménez; Pedro Fernández de Córdoba (Comput. Phys. Commun., 2009)

Adiabatic perturbations for compactons under dissipation and numerically-induced dissipation. - Francisco Rus; Francisco R. Villatoro (J. Comput. Phys., 2009)

Time-stepping in Petrov-Galerkin methods based on cubic B-splines for compactons. - Francisco Rus; Francisco R. Villatoro (Appl. Math. Comput., 2010)

Stability by order stars for non-linear theta-methods based on means. - Francisco R. Villatoro (Int. J. Comput. Math., 2010)

Local error analysis of Evans-Sanugi, nonlinear one-step methods based on theta-means. - Francisco R. Villatoro (Int. J. Comput. Math., 2010)

Unisolvency for multivariate polynomial interpolation in Coatmèlec configurations of nodes. - Miguel A. García-March; Fernando Giménez; Francisco R. Villatoro; Jezabel Pérez; Pedro Fernández de Córdoba (Appl. Math. Comput., 2011)

Numerical analysis of the effect of small geometrical imperfections on photonic crystal wires. - Francisco J. Blanco-Rodríguez; Francisco R. Villatoro; Juan I. Ramos 001 (Appl. Math. Comput., 2012)

Numerical evaluation of compactons and kovatons of the K(cos) Rosenau-Pikovsky equation. - Julio Garralón; Francisco R. Villatoro (Math. Comput. Model., 2012)

Removing trailing tails and delays induced by artificial dissipation in Padé numerical schemes for stable compacton collisions. - Julio Garralón; Francisco Rus; Francisco R. Villatoro (Appl. Math. Comput., 2013)

Numerical interactions between compactons and kovatons of the Rosenau-Pikovsky K(cos) equation. - Julio Garralón; Francisco Rus; Francisco R. Villatoro (Commun. Nonlinear Sci. Numer. Simul., 2013)

Outlier detection in audit logs for application systems. - Horacio D. Kuna; Ramón García-Martínez; Francisco R. Villatoro (Inf. Syst., 2014)

A Robust and Simple Measure for Quality-Guided 2D Phase Unwrapping Algorithms. - Miguel Arevalillo-Herráez; Francisco R. Villatoro; Munther A. Gdeisat (IEEE Trans. Image Process., 2016)

Padé numerical schemes for the sine-Gordon equation. - Francisca Martin-Vergara; Francisco Rus; Francisco R. Villatoro (Appl. Math. Comput., 2019)

Padé schemes with Richardson extrapolation for the sine-Gordon equation. - Francisca Martin-Vergara; Francisco Rus; Francisco R. Villatoro (Commun. Nonlinear Sci. Numer. Simul., 2020)

Compacton-anticompacton collisions in the Rosenau-Hyman K(p, p) equation by numerical simulations with hyperviscosity. - Rubén Garralón-López; Francisco Rus; Francisco R. Villatoro (Commun. Nonlinear Sci. Numer. Simul., 2023)