A posteriori error estimator and indicator in generalized finite differences. Application to improve the approximated solution of elliptic PDEs. - Juan José Benito; Francisco Ureña; Luis Gavete; Beatriz Alonso (Int. J. Comput. Math., 2008)

Pseudo-spectral/finite-difference adaptive method for spherical shallow-water equations. - Luis Gavete; Beatriz Alonso; Francisco Ureña; Juan José Benito; Julian Herranz (Int. J. Comput. Math., 2008)

An adaptive solver for the spherical shallow water equations. - Luis Gavete; Beatriz Alonso; M. Lucía Gavete; Francisco Ureña; Juan José Benito (Math. Comput. Simul., 2009)

A Comparison of Different Advective Solvers in the CHIMERE Air Quality Model. - Pedro Molina; Luis Gavete; Marta García Vivanco; Inmaculada Palomino; M. Lucía Gavete; Francisco Ureña; Juan José Benito (ICCSA (4), 2011)

Seismic Wave Propagation and Perfectly Matched Layers Using a GFDM. - Francisco Ureña; Juan José Benito; Eduardo Salete 001; Luis Gavete (ICCSA (3), 2011)

Application of the GFDM for Dynamic Analysis of Plates. - Francisco Ureña; Luis Gavete; Juan José Benito; Eduardo Salete 001 (ICCSA (1), 2011)

Application of the generalized finite difference method to solve the advection-diffusion equation. - Francisco Ureña Prieto; Juan José Benito; Luis Gavete (J. Comput. Appl. Math., 2011)

Modelling of the advection-diffusion equation with a meshless method without numerical diffusion. - Luis Gavete; Francisco Ureña; Juan José Benito; María Lucía Gavete (Int. J. Comput. Math., 2012)

Solving anisotropic elliptic and parabolic equations by a meshless method: simulation of the electrical conductivity of a tissue. - María Lucía Gavete; F. Vicente; Luis Gavete; Francisco Ureña; Juan José Benito (Int. J. Comput. Math., 2012)

Solving third- and fourth-order partial differential equations using GFDM: application to solve problems of plates. - Francisco Ureña; Eduardo Salete 001; Juan José Benito; Luis Gavete (Int. J. Comput. Math., 2012)

Implementation in CHIMERE of a conservative solver for the advection equation - cmmse10. - Luis Gavete; Marta García Vivanco; Pedro Molina; M. Lucía Gavete; Francisco Ureña; Juan José Benito (J. Comput. Appl. Math., 2012)

A note on the application of the generalized finite difference method to seismic wave propagation in 2D. - Francisco Ureña; Juan José Benito; Eduardo Salete 001; Luis Gavete (J. Comput. Appl. Math., 2012)

A GFDM with PML for seismic wave equations in heterogeneous media. - Juan José Benito; Francisco Ureña; Luis Gavete; Eduardo Salete 001; A. Muelas (J. Comput. Appl. Math., 2013)

A note on the dynamic analysis using the generalized finite difference method. - Luis Gavete; Francisco Ureña; Juan José Benito; Eduardo Salete 001 (J. Comput. Appl. Math., 2013)

A finite volume-finite difference method with a stiff ordinary differential equation solver for advection-diffusion-reaction equation. - Pedro Molina; Luis Gavete; M. Lucía Gavete; Francisco Ureña; Juan José Benito (Int. J. Comput. Math., 2015)

Solving second order non-linear elliptic partial differential equations using generalized finite difference method. - Luis Gavete; Francisco Ureña; Juan José Benito; Ángel García Gómez; Miguel Ureña; Eduardo Salete 001 (J. Comput. Appl. Math., 2017)

Stability of perfectly matched layer regions in generalized finite difference method for wave problems. - Eduardo Salete 001; Juan José Benito; Francisco Ureña; Luis Gavete; Miguel Ureña; Ángel García Gómez (J. Comput. Appl. Math., 2017)

Solving second order non-linear parabolic PDEs using generalized finite difference method (GFDM). - Francisco Ureña; Luis Gavete; Ángel García Gómez; Juan José Benito; Antonio Manuel Vargas (J. Comput. Appl. Math., 2019)

Non-linear Fokker-Planck equation solved with generalized finite differences in 2D and 3D. - Francisco Ureña; Luis Gavete; Ángel García Gómez; Juan José Benito; Antonio Manuel Vargas (Appl. Math. Comput., 2020)

Solving a chemotaxis-haptotaxis system in 2D using Generalized Finite Difference Method. - Juan José Benito; Ángel García Gómez; Luis Gavete; Mihaela Negreanu; Francisco Ureña; Antonio Manuel Vargas (Comput. Math. Appl., 2020)

Solving second order non-linear hyperbolic PDEs using generalized finite difference method (GFDM). - Francisco Ureña; Luis Gavete; Ángel García Gómez; Juan José Benito; Antonio Manuel Vargas (J. Comput. Appl. Math., 2020)

Solving a reaction-diffusion system with chemotaxis and non-local terms using Generalized Finite Difference Method. Study of the convergence. - Juan José Benito; Ángel García Gómez; Luis Gavete; Mihaela Negreanu; Francisco Ureña; Antonio Manuel Vargas (J. Comput. Appl. Math., 2021)

Solving Eikonal equation in 2D and 3D by generalized finite difference method. - Eduardo Salete 001; Jesús Flores; Ángel García Gómez; Mihaela Negreanu; Antonio Manuel Vargas; Francisco Ureña (Comput. Math. Methods, 2021)

Convergence and numerical solution of nonlinear generalized Benjamin-Bona-Mahony-Burgers equation in 2D and 3D via generalized finite difference method. - Ángel García Gómez; Mihaela Negreanu; Francisco Ureña; Antonio Manuel Vargas (Int. J. Comput. Math., 2022)

A spatio-temporal fully meshless method for hyperbolic PDEs. - Jesús Flores; Ángel García Gómez; Mihaela Negreanu; Eduardo Salete 001; Francisco Ureña; Antonio Manuel Vargas (J. Comput. Appl. Math., 2023)

On the numerical solution to space fractional differential equations using meshless finite differences. - A. García; Mihaela Negreanu; Francisco Ureña; Antonio Manuel Vargas (J. Comput. Appl. Math., 2025)