publicaciones seleccionadas
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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