Papers in Scientific Journals
The following is the list of publications in scientific journals of the Center for Research in Mathematical Engineering, ordered by year of occurrence, since 2009, date of creation of this center. When you click on the name of a certain author, all their publications available in this database are displayed together with a link to their list of publications in the AMS MathScinet database.
Publications of Luis M. VILLADA |
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| Number | Authors, Title and Details |
|---|---|
| 2025-05 | 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). |
| 2023-31 | 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). |
| 2023-09 | 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). |
| 2023-01 | 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). |
| 2022-11 | 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). |
| 2021-18 | 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). |
| 2020-50 | 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). |
| 2020-46 | 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). |
| 2020-37 | 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). |
| 2020-28 | 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). |
| 2020-08 | 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). |
| 2019-29 | 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). |
| 2019-28 | 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). |
| 2019-18 | 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). |
| 2019-07 | 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). |
| 2018-07 | 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). |
| 2018-01 | 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). |
| 2016-26 | 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). |
| 2016-18 | 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). |
| 2016-17 | 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). |
| 2016-02 | 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). |
| 2015-08 | 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). |
| 2013-28 | 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) |
| 2013-23 | 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) . |
| 2013-19 | 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). |
| 2013-14 | 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). |