publicaciones seleccionadas

• artículo académico

  • Well-posedness and numerical analysis of an elapsed time model with strongly coupled neural networks.  COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION.  152(parta). 2026
  • Nonlocal macroscopic models of multi-population pedestrian flows for walking facilities optimization.  APPLIED MATHEMATICAL MODELLING.  141. 2025
  • Existence of Traveling Waves of a Diffusive Susceptible-Infected-Symptomatic-Recovered Epidemic Model with Temporal Delay.  MATHEMATICS.  12(5). 2024
  • A Hilliges-Weidlich-type scheme for a one-dimensional scalar conservation law with nonlocal flux.  NETWORKS AND HETEROGENEOUS MEDIA.  18(2):664-693. 2023
  • Existence of entropy weak solutions for 1D non-local traffic models with space-discontinuous flux.  JOURNAL OF ENGINEERING MATHEMATICS.  141(1). 2023
  • Nonlocal reaction traffic flow model with on-off ramps.  NETWORKS AND HETEROGENEOUS MEDIA.  17(2):203-226. 2022
  • A multiclass Lighthill-Whithma-Richards traffic model with a discontinuous velocity function.  NETWORKS AND HETEROGENEOUS MEDIA.  16(2):187-219. 2021
  • A non-local pedestrian flow model accounting for anisotropic interactions and domain boundaries.  MATHEMATICAL BIOSCIENCES AND ENGINEERING.  17(5):5883-5906. 2020
  • Exploring a Convection-Diffusion-Reaction Model of the Propagation of Forest Fires: Computation of Risk Maps for Heterogeneous Environments.  MATHEMATICS.  8(10):1-5. 2020
  • Lagrangian-antidiffusive remap schemes for non-local multi-class traffic flow models.  COMPUTATIONAL & APPLIED MATHEMATICS.  39(2). 2020
  • A reaction-diffusion predator-prey model with pursuit, evasion, and nonlocal sensing.  MATHEMATICAL BIOSCIENCES AND ENGINEERING.  16(5):5114-5145. 2019
  • High-order numerical schemes for one-dimensional nonlocal conservation laws.  SIAM JOURNAL ON SCIENTIFIC COMPUTING.  40(1):288-305. 2018
  • Modelling the spatial-temporal progression of the 2009 A/H1N1 influenza pandemic in Chile.  MATHEMATICAL BIOSCIENCES AND ENGINEERING.  13(1):43-65. 2016
  • A Diffusively Corrected Multiclass Lighthill-Whitham-Richards Traffic Model with Anticipation Lengths and Reaction Times.  ADVANCES IN APPLIED MATHEMATICS AND MECHANICS.  5(5):728-758. 2013
  • Antidiffusive and Random-sampling Lagrangian-remap schemes for the multiclass Lighthill-whitham-richards traffic model.  SIAM JOURNAL ON SCIENTIFIC COMPUTING.  35(6):B341-B368. 2013
  • Regularized Nonlinear Solvers for IMEX Methods Applied to Diffusively Corrected Multispecies Kinematic Flow Models.  SIAM JOURNAL ON SCIENTIFIC COMPUTING.  35(3):751-777. 2013
  • Spectral WENO schemes with Adaptive Mesh Refinement for models of polydisperse sedimentation.  ZAMM-ZEITSCHRIFT FÜR ANGEWANDTE MATHEMATIK UND MECHANIK.  93(6-7):373-386. 2013