Publicaciones de Luis M. VILLADA

Harold D. CONTRERAS, Paola GOATIN, Luis M. VILLADA: A two-lane bidirectional nonlocal traffic model. Journal of Mathematical Analysis and Applications, vol. 543, article: 129027, (2025).

Felisia A. CHIARELLO, Harold D. CONTRERAS, Luis M. VILLADA: Existence of entropy weak solutions for 1D non-local traffic models with space-discontinous flux. Journal of Engineering Mathematics, vol. 141, no. 9, (2023).

Raimund BÜRGER, Harold D. CONTRERAS, Luis M. VILLADA: A Hilliges-Weidlich-type scheme for a one-dimensional scalar conservation law with nonlocal flux. Networks and Heterogeneous Media, vol. 18, pp. 664-693, (2023).

Paulo AMORIM, Raimund BÜRGER, Rafael ORDOÑEZ, Luis M. VILLADA: Global existence in a food chain model consisting of two competitive preys, one predator and chemotaxis. Nonlinear Analysis: Real World Applications, vol. 69, article: 103703 (24pp), (2023).

Felisia A. CHIARELLO, Harold D. CONTRERAS, Luis M. VILLADA: Nonlocal reaction traffic flow model with on-off ramps. Networks and Heterogeneous Media, vol. 17, no. 2, pp. 203-226, (2022).

Raimund BÜRGER, Christophe CHALONS, Rafael ORDOÑEZ, Luis M. VILLADA: A multiclass Lighthill-Whitham-Richards traffic model with a discontinuous velocity function. Networks and Heterogeneous Media, vol. 16, 2, pp. 187-219, (2021).

Raimund BÜRGER, Elvis GAVILÁN, Daniel INZUNZA, Pep MULET, Luis M. VILLADA: Exploring a convection-diffusion-reaction model of the propagation of forest fires: computation of risk maps for heterogeneous environments. Mathematics, vol. 8, 10, article: 1674 (20pp), (2020).

Raimund BÜRGER, Paola GOATIN, Daniel INZUNZA, Luis M. VILLADA: A non-local pedestrian flow model accounting for anisotropic interactions and domain boundaries. Mathematical Biosciences and Engineering, vol. 17, 5, pp. 5883-5906, (2020).

Raimund BÜRGER, Elvis GAVILÁN, Daniel INZUNZA, Pep MULET, Luis M. VILLADA: Implicit-explicit methods for a convection-diffusion-reaction model of the propagation of forest fires. Mathematics, vol. 8, article: 1034 (21pp), (2020).

Raimund BÜRGER, Rafael ORDOÑEZ, Mauricio SEPÚLVEDA, Luis M. VILLADA: Numerical analysis of a three-species chemotaxis model. Computers & Mathematics with Applications, vol. 80, pp. 183-203, (2020).

Felisia A. CHIARELLO, Paola GOATIN, Luis M. VILLADA: Lagrangian-antidiffusive remap schemes for non-local multi-class traffic flow models. Computational and Applied Mathematics, vol. 39, article:60, (2020).

Paulo AMORIM, Bruno TELCH, Luis M. VILLADA: A reaction-diffusion predator-prey model with pursuit, evasion, and nonlocal sensing. Mathematical Biosciences and Engineering, vol. 16, 5, pp. 5114-5145, (2019).

Raimund BÜRGER, Daniel INZUNZA, Pep MULET, Luis M. VILLADA: Implicit-explicit methods for a class of nonlinear nonlocal gradient flow equations modelling collective behaviour. Applied Numerical Mathematics, vol. 144, pp. 234-252, (2019).

Raimund BÜRGER, Daniel INZUNZA, Pep MULET, Luis M. VILLADA: Implicit-explicit schemes for nonlinear nonlocal equations with a gradient flow structure in one space dimension. Numerical Methods for Partial Differential Equations, vol. 35, 3, pp. 1008-1034, (2019).

Raimund BÜRGER, Gerardo CHOWELL, Elvis GAVILÁN, Pep MULET, Luis M. VILLADA: Numerical solution of a spatio-temporal predator-prey model with infected prey. Mathematical Biosciences and Engineering, vol. 16, 1, pp. 438-473, (2019).

Christophe CHALONS, Paola GOATIN, Luis M. VILLADA: High order numerical schemes for one-dimension non-local conservation laws. SIAM Journal on Scientific Computing, vol. 40, 1, pp. A288-A305, (2018).

Raimund BÜRGER, Gerardo CHOWELL, Elvis GAVILÁN, Pep MULET, Luis M. VILLADA: Numerical solution of a spatio-temporal gender-structured model for hantavirus infection in rodents. Mathematical Biosciences and Engineering, vol. 15, pp. 95-123, (2018).

Raimund BÜRGER, Christophe CHALONS, Luis M. VILLADA: Antidiffusive Lagrangian-remap schemes for models of polydisperse sedimentation. Numerical Methods for Partial Differential Equations, vol. 32, 4, pp. 1109-1136, (2016).

Raimund BÜRGER, Christophe CHALONS, Luis M. VILLADA: On second-order antidiffusive Lagrangian-remap schemes for multispecies kinematic flow models. Bulletin of the Brazilian Mathematical Society, (New Series), vol. 47, 1, pp. 187-200, (2016).

Sebastiano BOSCARINO, Raimund BÜRGER, Pep MULET, Giovanni RUSSO, Luis M. VILLADA: On linearly implicit IMEX Runge-Kutta methods for degenerate convection-diffusion problems modeling polydisperse sedimentation. Bulletin of the Brazilian Mathematical Society, (New Series), vol. 47, 1, pp. 171-185, (2016).

Raimund BÜRGER, Gerardo CHOWELL, Pep MULET, Luis M. VILLADA: Modelling the spatial-temporal evolution of the 2009 A/H1N1 influenza pandemic in Chile. Mathematical Biosciences and Engineering, vol. 13, 1, pp. 43-65, (2016).

Sebastiano BOSCARINO, Raimund BÜRGER, Pep MULET, Giovanni RUSSO, Luis M. VILLADA: Linearly implicit IMEX Runge-Kutta methods for a class of degenerate convection-diffusion problems. SIAM Journal on Scientific Computing, vol. 37, no. 2, pp. B305-B331, (2015).

Raimund BÜRGER, Christophe CHALONS, Luis M. VILLADA: Anti-diffusive and random-sampling Lagrangian-remap schemes for the multi-class Lighthill-Whitham-Richards traffic model. SIAM Journal on Scientific Computing, vol. 35, 6, pp. 1341-1368, (2013)

Raimund BÜRGER, Pep MULET, Luis M. VILLADA: A diffusively corrected multiclass Lighthill-Whitham-Richards traffic model with anticipation lengths and reaction times. Advances in Applied Mathematics and Mechanics, vol. 5, 5, pp. 728-758, (2013) .

Raimund BÜRGER, Pep MULET, Luis M. VILLADA: Regularized nonlinear solvers for IMEX methods applied to diffusively corrected multi-species kinematic flow models. SIAM Journal on Scientific Computing, 35 (3), pp. B751-B777, (2013).

Raimund BÜRGER, Pep MULET, Luis M. VILLADA: Spectral WENO schemes with adaptive mesh refinement for models of polydisperse sedimentation. Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), vol. 93, 6-7, pp. 373-386, (2013).