Investigadores
 | Nombre | Luis M. Villada |
|---|---|---|
| Unidad Académica | Departamento de Matemática, Facultad de Ciencias, Universidad del Bío-Bío | |
| Áreas de Investigación |
Áreas en Ciencias Básicas: - Análisis Numérico de Ecuaciones Diferenciales Parciales |
|
| Sitio Web Personal | http://ciencias.ubiobio.cl/lmvillad/ | |
| Teléfono | +56 - 41 - 3111095 |
*La información mostrada a continuación refleja las contribuciones desarrolladas por el investigador durante su participación en el centro o en colaboración con este. Para detalles adicionales, puede consultar su Sitio Web Personal.
Publicaciones (28) +
| Número | Autores, Título y Datos de la Publicación | DOI Link |
|---|---|---|
| 2025-14 | Raimund BüRGER, Yessennia MARTíNEZ, Luis M. VILLADA: Front tracking and parameter identification for a conservation law with a space-dependent coefficient modeling granular segregation. Advances in Applied Mathematics and Mechanics, vol. 17, No. 3, pp. 989-1013, (2025). |
Link |
| 2025-07 | Paola GOATIN, Daniel INZUNZA, Luis M. VILLADA: Nonlocal macroscopic models of multi-population pedestrian flows for walking facilities optimization. Applied Mathematical Modelling, vol. 141, article: 115927, (2025). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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). |
Link |
| 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) |
Link |
| 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) . |
Link |
| 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). |
Link |
| 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). |
Link |
Proceedings (4) +
| Número | Autores, Título y Datos del Proceeding |
|---|---|
| 2024-02 | Paola GOATIN, Daniel INZUNZA, Luis M. VILLADA: Numerical comparison of nonlocal macroscopic models of multi-population pedestrian flows with anisotropic kernel. In: Parés, C., Castro, M.J., Morales de Luna, T., Muñoz-Ruiz, M.L. (eds) Hyperbolic Problems: Theory, Numerics and Applications. . Volume II HYP 2022. SEMA SIMAI Springer Series, vol 35. Springer, Cham. pp 371-381. (2024) |
| 2024-01 | Paola GOATIN, Luis M. VILLADA, Alexandra WÜRTH: A cheap and easy-to-implement upwind scheme for second order traffic flow models. In: Parés, C., Castro, M.J., Morales de Luna, T., Muñoz-Ruiz, M.L. (eds) Hyperbolic Problems: Theory, Numerics and Applications. Volume II . HYP 2022. SEMA SIMAI Springer Series, vol 35. Springer, Cham. pp 209-219. (2024) |
| 2020-01 | Felisia A. CHIARELLO, Paola GOATIN, Luis M. VILLADA: High-order finite volume WENO schemes for non-local multi-class traffic flow models. In: Alberto Bressan, Marta Lewicka, Dehua Wang, Yuxi Zheng (eds.), Hyperbolic Problems: Theory, Numerics and Applications. AIMS Series on Applied Mathematics vol. 10 American Institute of Applied Mathematics, Springfield, MO, USA, pp. 353-360, (2020) |
| 2014-02 | Raimund BÜRGER, Pep MULET, Luis M. VILLADA: Adaptive Mesh Refinement for spectral WENO schemes for efficient simulation of polydisperse sedimentation processes. In: F. Ancona, A. Bressan, P. Marcati and A. Marson (eds.), Hyperbolic Problems: Theory, Numerics and Applications. AIMS Series on Applied Mathematics vol. 8, American Institute of Applied Mathematics, Sprigfield, MO, USA, pp. 381-388, (2014) |
Prepublicaciones (4+28) +
| Prepublicaciones | |
|---|---|
| Número | Autores y Título |
| 2024-26 | Juan BARAJAS-CALONGE, Raimund BÜRGER, Pep MULET, Luis M. VILLADA: Invariant-region-preserving central WENO schemes for one-dimensional multispecies kinematic flow models. |
| 2023-24 | Mauricio SEPÚLVEDA, Nicolás TORRES, Luis M. VILLADA: Well-posedness and numerical analysis of an elapsed time model with strongly coupled neural networks. |
| 2023-07 | Paola GOATIN, Daniel INZUNZA, Luis M. VILLADA: Numerical comparison of nonlocal macroscopic models of multi-population pedestrian flows with anisotropic kernel. |
| 2023-05 | Paola GOATIN, Luis M. VILLADA, Alexandra WÜRTH: A cheap and easy-to-implement upwind scheme for second order traffic flow models. |
| Prepublicaciones que Dieron Origen a Publicaciónes Definitivas | |
|---|---|
| Número | Autores y Título |
| 2024-03 | Harold D. CONTRERAS, Paola GOATIN, Luis M. VILLADA: A two-lane bidirectional nonlocal traffic model. |
| 2023-27 | Raimund BÜRGER, Yessennia MARTÍNEZ, Luis M. VILLADA: Front tracking and parameter identification for a conservation law with a space-dependent coefficient modeling granular segregation. |
| 2023-20 | Paola GOATIN, Daniel INZUNZA, Luis M. VILLADA: Nonlocal macroscopic models of multi-population pedestrian flows for walking facilities optimization. |
| 2022-25 | Raimund BÜRGER, Harold D. CONTRERAS, Luis M. VILLADA: A Hilliges-Weidlich-type scheme for a one-dimensional scalar conservation law with nonlocal flux. |
| 2021-23 | Felisia A. CHIARELLO, Harold D. CONTRERAS, Luis M. VILLADA: Nonlocal reaction traffic flow model with on-off ramps. |
| 2021-14 | 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. |
| 2021-09 | Felisia A. CHIARELLO, Luis M. VILLADA: On existence of entropy solutions for 1D nonlocal conservation laws with space-discontinous flux. |
| 2020-26 | Raimund BÜRGER, Christophe CHALONS, Rafael ORDOÑEZ, Luis M. VILLADA: A multiclass Lighthill-Whitham-Richards traffic model with a discontinuous velocity function. |
| 2020-22 | 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. |
| 2020-14 | Raimund BÜRGER, Paola GOATIN, Daniel INZUNZA, Luis M. VILLADA: A non-local pedestrian flow model accounting for anisotropic interactions and walking domain boundaries. |
| 2020-07 | Raimund BÜRGER, Elvis GAVILÁN, Daniel INZUNZA, Pep MULET, Luis M. VILLADA: Numerical simulation of forest fires by IMEX methods. |
| 2019-26 | Raimund BÜRGER, Rafael ORDOÑEZ, Mauricio SEPÚLVEDA, Luis M. VILLADA: Numerical analysis of a three-species chemotaxis model. |
| 2019-03 | Raimund BÜRGER, Daniel INZUNZA, Pep MULET, Luis M. VILLADA: Implicit-explicit methods for a class of nonlinear nonlocal gradient flow equations modelling collective behaviour. |
| 2019-01 | Paulo AMORIM, Bruno TELCH, Luis M. VILLADA: A reaction-diffusion predator-prey model with pursuit, evasion, and nonlocal sensing. |
| 2018-52 | Felisia A. CHIARELLO, Paola GOATIN, Luis M. VILLADA: Lagrangian-antidiffusive remap schemes for non-local multi-class traffic flow models. |
| 2018-20 | 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. |
| 2018-17 | Raimund BÜRGER, Gerardo CHOWELL, Elvis GAVILÁN, Pep MULET, Luis M. VILLADA: Numerical solution of a spatio-temporal predator-prey model with infected prey. |
| 2016-41 | Christophe CHALONS, Paola GOATIN, Luis M. VILLADA: High order numerical schemes for one-dimension non-local conservation laws. |
| 2016-33 | 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. |
| 2015-12 | Raimund BÜRGER, Christophe CHALONS, Luis M. VILLADA: On second-order antidiffusive Lagrangian-remap schemes for multispecies kinematic flow models. |
| 2015-11 | 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. |
| 2015-04 | Raimund BÜRGER, Christophe CHALONS, Luis M. VILLADA: Antidiffusive Lagrangianremap schemes for models of polydisperse sedimentation. |
| 2014-12 | 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. |
| 2014-03 | Raimund BÜRGER, Gerardo CHOWELL, Pep MULET, Luis M. VILLADA: Modelling the spatial-temporal evolution of the 2009 A/H1N1 influenza pandemic in Chile. |
| 2013-14 | Raimund BÜRGER, Christophe CHALONS, Luis M. VILLADA: Anti-diffusive and random-sampling Lagrangian-remap schemes for the multi-class Lighthill-Whitham-Richards traffic model. |
| 2012-25 | Raimund BÜRGER, Pep MULET, Luis M. VILLADA: A diffusively corrected multiclass Lighthill-Whitham-Richards traffic model with anticipation lengths and reaction times. |
| 2012-21 | Raimund BÜRGER, Pep MULET, Luis M. VILLADA: Implicit-explicit methods for diffusively corrected multi-species kinematic flow models. |
| 2011-30 | Raimund BÜRGER, Pep MULET, Luis M. VILLADA: Spectral WENO schemes with adaptive mesh refinement for models of polydisperse sedimentation. |
Proyectos (4) +
Libros (0) +
| Autores | Título | Descripción |
|---|---|---|
| (Actualmente, no se han registrado libros publicados del investigador asociados al centro) | ||
Director/Codirector de Tesis Posgrado (1+6) +
| Alumnos Tesistas de Posgrado Actuales | ||||
|---|---|---|---|---|
| Aprobacion Tesis | Nombre | Título de la Tesis | Programa | Directores |
| 2022-01-27 | Martinez, Yessennia | Análisis y Métodos Numéricos para Leyes de Conservación con Flujo Discontinuo y sobre Redes | Doctorado en Ciencias Aplicadas con mención en Ingeniería Matemática, Universidad de Concepción | Raimund Bürger, Paola Goatin, Luis M. Villada |
| Alumnos Tesistas de Posgrado Graduados | ||||
|---|---|---|---|---|
| Defensa de Tesis | Nombre | Título de la Tesis | Programa | Directores |
| 2023-01-20 | Contreras, Harold | Modelling and numerical analysis of nonlocal conservation laws with applications to sedimentation and traffic flow problems | Doctorado en Matemática Aplicada, Universidad del Bío-Bío | Raimund Bürger, Felisia A. Chiarello, Luis M. Villada |
| 2022-09-02 | Barajas, Juan | Modelamiento Matemático en la separación sólido-líquido: circuitos a contracorriente | Magíster en Matemática, mención Matemática Aplicada, Universidad del Bío-Bío | Raimund Bürger, Luis M. Villada |
| 2021-01-26 | Ordóñez, Rafael | Spatio-Temporal Dynamics of Selected Multispecies Systems: Multiclass Traffic and Predator-Prey-Taxis Models | Doctorado en Ciencias Aplicadas con mención en Ingeniería Matemática, Universidad de Concepción | Raimund Bürger, Christophe Chalons, Luis M. Villada |
| 2019-12-16 | Inzunza, Daniel | Métodos Implicitos-Explicitos para Problemas de Convección-Difusión-Reacción no Lineales y no Locales | Doctorado en Ciencias Aplicadas con mención en Ingeniería Matemática, Universidad de Concepción | Raimund Bürger, Pep Mulet, Luis M. Villada |
| 2018-07-23 | Martínez, Yessennia | Esquemas numéricos para leyes de conservación con flujo restringido | Magíster en Matemática, mención Matemática Aplicada, Universidad del Bío-Bío | Luis M. Villada |
| 2017-09-13 | Inzunza, Natalia | Esquemas Numéricos de Alto Orden para un Sistema de Ecuaciones Diferenciales Parciales Hiperbólico-Parabólico en 2D. | Magíster en Matemática, mención Matemática Aplicada, Universidad del Bío-Bío | Luis M. Villada |
Director/Codirector de Tesis Pregrado (0+0) +
| Alumnos Tesistas de Pregrado Actuales | ||||
|---|---|---|---|---|
| Aprobacion Tesis | Nombre | Título de la Tesis | Carrera | Directores |
| (Actualmente, no se han registrado tesistas de pregrado asociados al investigador en el centro) | ||||
| Alumnos Tesistas de Pregrado Graduados | ||||
|---|---|---|---|---|
| Defensa de Tesis | Nombre | Título de la Tesis | Carrera | Directores |
| (Actualmente, no se han registrado graduados de pregrado asociados al investigador en el centro.) | ||||