Linearly implicit IMEX Runge--Kutta methods for a class of degenerate convection-diffusion problems S Boscarino, R Bürger, P Mulet, G Russo, LM Villada SIAM Journal on Scientific Computing 37 (2), B305-B331, 2015 | 72 | 2015 |
High-order numerical schemes for one-dimensional nonlocal conservation laws C Chalons, P Goatin, LM Villada SIAM Journal on Scientific Computing 40 (1), A288-A305, 2018 | 49 | 2018 |
REGULARIZED NONLINEAR SOLVERS FOR IMEX METHODS APPLIED TO DIFFUSIVELY CORRECTED MULTI-SPECIES KINEMATIC FLOW MODELS R Bürger, P Mulet, LM Villada SIAM Journal on Scientific Computing 35 (3), B751–B777, 2013 | 34 | 2013 |
On linearly implicit IMEX Runge-Kutta methods for degenerate convection-diffusion problems modeling polydisperse sedimentation S Boscarino, R Bürger, P Mulet, G Russo, LM Villada Bulletin of the Brazilian Mathematical Society, New Series 47, 171-185, 2016 | 27 | 2016 |
Lagrangian-antidiffusive remap schemes for non-local multi-class traffic flow models FA Chiarello, P Goatin, LM Villada Computational and Applied Mathematics 39, 1-22, 2020 | 25 | 2020 |
Numerical solution of a spatio-temporal gender-structured model for hantavirus infection in rodents R Bürger, G Chowell, E Gavilán, P Mulet, LM Villada Math. Biosci. Eng 15 (1), 95-123, 2018 | 25 | 2018 |
A reaction–diffusion predator–prey model with pursuit, evasion, and nonlocal sensing P Amorim, B Telch, LM Villada Mathematical Biosciences and Engineering 16 (5), 5114-5145, 2019 | 23 | 2019 |
A diffusively corrected multiclass Lighthill-Whitham-Richards traffic model with anticipation lengths and reaction times R Buerger, P Mulet, LM Villada Advances in Applied Mathematics and Mechanics 5 (5), 728-758, 2013 | 23 | 2013 |
A non-local pedestrian flow model accounting for anisotropic interactions and domain boundaries R Bürger, P Goatin, D Inzunza, LM Villada Mathematical biosciences and engineering 17 (5), 5883-5906, 2020 | 20 | 2020 |
Modelling the spatial-temporal progression of the 2009 A/H1N1 influenza pandemic in Chile R Bürger, G Chowell, P Mulet, LM Villada Mathematical Biosciences & Engineering 13 (1), 43-65, 2015 | 20 | 2015 |
Implicit-explicit methods for a convection-diffusion-reaction model of the propagation of forest fires R Bürger, E Gavilán, D Inzunza, P Mulet, LM Villada Mathematics 8 (6), 1034, 2020 | 19 | 2020 |
Numerical solution of a spatio-temporal predator-prey model with infected prey R Bürger, G Chowell, E Gavilán, P Mulet, LM Villada Math. Biosci. Eng 16 (1), 438-473, 2019 | 19 | 2019 |
Antidiffusive and Random-Sampling Lagrangian-Remap Schemes for the Multiclass Lighthill--Whitham--Richards Traffic Model R Bürger, C Chalons, LM Villada SIAM Journal on Scientific Computing 35 (6), B1341-B1368, 2013 | 18 | 2013 |
Implicit-explicit methods for a class of nonlinear nonlocal gradient flow equations modelling collective behaviour R Bürger, D Inzunza, P Mulet, LM Villada Applied Numerical Mathematics 144, 234-252, 2019 | 15 | 2019 |
Antidiffusive L agrangian‐remap schemes for models of polydisperse sedimentation R Buerger, C Chalons, LM Villada Numerical Methods for Partial Differential Equations 32 (4), 1109-1136, 2016 | 12 | 2016 |
Spectral WENO schemes with Adaptive Mesh Refinement for models of polydisperse sedimentation R Bürger, P Mulet, LM Villada ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte …, 2013 | 11 | 2013 |
A Hilliges-Weidlich-type scheme for a one-dimensional scalar conservation law with nonlocal flux. R Bürger, HD Contreras, LM Villada Networks & Heterogeneous Media 18 (2), 2023 | 9 | 2023 |
Nonlocal reaction traffic flow model with on-off ramps FA Chiarello, HD Contreras, LM Villada arXiv preprint arXiv:2109.04141, 2021 | 8 | 2021 |
High-order Finite Volume WENO schemes for non-local multi-class traffic flow models FA Chiarello, P Goatin, LM Villada Hyperbolic Problems: Theory, Numerics, Applications. Proceedings of the XVII …, 2018 | 8 | 2018 |
Exploring a convection–diffusion–reaction model of the propagation of forest fires: computation of risk maps for heterogeneous environments R Bürger, E Gavilán, D Inzunza, P Mulet, LM Villada Mathematics 8 (10), 1674, 2020 | 7 | 2020 |