Antidiffusive and Random-Sampling Lagrangian-Remap Schemes for the Multiclass Lighthill-Whitham-Richards Traffic Model. - Raimund Bürger; Christophe Chalons; Luis Miguel Villada (SIAM J. Sci. Comput., 2013)

Regularized Nonlinear Solvers for IMEX Methods Applied to Diffusively Corrected Multispecies Kinematic Flow Models. - Raimund Bürger; Pep Mulet; Luis Miguel Villada (SIAM J. Sci. Comput., 2013)

Linearly Implicit IMEX Runge-Kutta Methods for a Class of Degenerate Convection-Diffusion Problems. - Sebastiano Boscarino; Raimund Bürger; Pep Mulet; Giovanni Russo 001; Luis Miguel Villada (SIAM J. Sci. Comput., 2015)

High-Order Numerical Schemes for One-Dimensional Nonlocal Conservation Laws. - Christophe Chalons; Paola Goatin; Luis Miguel Villada (SIAM J. Sci. Comput., 2018)

Lagrangian-antidiffusive remap schemes for non-local multi-class traffic flow models. - Felisia Angela Chiarello; Paola Goatin; Luis Miguel Villada (Comput. Appl. Math., 2020)

Numerical analysis of a three-species chemotaxis model. - Raimund Bürger; Rafael Ordoñez; Mauricio Sepúlveda; Luis Miguel Villada (Comput. Math. Appl., 2020)

A multiclass Lighthill-Whitham-Richards traffic model with a discontinuous velocity function. - Raimund Bürger; Christophe Chalons; Rafael Ordoñez; Luis Miguel Villada (Networks Heterog. Media, 2021)

Nonlocal reaction traffic flow model with on-off ramps. - Felisia Angela Chiarello; Harold Deivi Contreras; Luis Miguel Villada (Networks Heterog. Media, 2022)

A Hilliges-Weidlich-type scheme for a one-dimensional scalar conservation law with nonlocal flux. - Raimund Bürger; Harold Deivi Contreras; Luis Miguel Villada (Networks Heterog. Media, 2023)

Invariant-region-preserving WENO schemes for one-dimensional multispecies kinematic flow models. - Juan Barajas-Calonge; Raimund Bürger; Pep Mulet; Luis Miguel Villada (J. Comput. Phys., 2025)

Well-posedness and numerical analysis of an elapsed time model with strongly coupled neural networks. - Mauricio Sepúlveda; Nicolas Torres; Luis Miguel Villada (Commun. Nonlinear Sci. Numer. Simul., 2026)