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Luis Miguel Villada Osorio

Profesor Asociado

Universidad del Bío Bío

concepcion, Chile

Líneas de Investigación


Numerical analysis for Partial Difference Equations: -Systems of Conservation Laws -High order Finite volume/difference methods, implicit-explicit schemes, Lagrangian-Remap solver. -Applications: vehicular traffic, sedimentation, epidemiology.

Educación

  •  Matemático, Universidad de cordoba. Colombia, 2004
  •  Ciencias Matemáticas, UNIVERSIDAD NACIONAL DE COLOMBIA. Chile, 2007
  •  Ciencias Aplicadas c/m Ingeniería Matemática, UNIVERSIDAD DE CONCEPCION. Chile, 2013

Experiencia Académica

  •   Associate Professor Full Time

    UNIVERSIDAD DEL BIO-BIO

    Faculty of Science

    Concepcion, Chile

    2014 - At present

  •   Associate Researcher Other

    UNIVERSIDAD DE CHILE

    Facultad de Ciencias Físicas y Matemáticas

    Santiago, Chile

    2018 - At present

Experiencia Profesional

  •   Director of the Magister Program in Mathematics with minor in Applied Mathematic or Statistic Other

    Universidad del Bio-Bio

    Concepcion, Chile

    2017 - 2019

  •   Professor Part Time

    Universidad de Cordoba

    Montería, Colombia

    2007 - 2008

  •   Professor Other

    Universidad Nacional de Colombia

    Medellín, Colombia

    2005 - 2006

Formación de Capital Humano


(PhD 2) Program: Doctorado en Ciencias Aplicadas c/m en IngenieríaMatemática,
University: Universidad de Concepción.
Student name: Rafael Ordoñez.
Thesis Title: Spatio-temporal dynamics of selected multispecies systems: multiclass traffic and predator-prey-taxis Models
Status : Finished
co-advised with R. Burger (advised) and C. Chalons
Year: 2019

(PhD 1) Program: Doctorado en Ciencias Aplicadas c/m en IngenieríaMatemática,
University: Universidad de Concepción.
Student name: Daniel Inzunza H.
Thesis Title: Métodos Implicitos-Explicitos para Problemas de Convección-Difusión-Reacción no Lineales y no Locales
Status : Finished
co-advised with R. Burger (advised) and P. Mulet
Year: 2019

(MSc 2) Program: Master's thesis in Mathematics with minor in Applied Mathematic
University: Universidad del Bio-Bio
Student name: Yessennia Martinez Martinez
Thesis Title: ESQUEMAS NUMÉRICOS PARA LEYES DE CONSERVACIÓN CON FLUJO RESTRINGIDO
Advised
Status : Finished
Year: 2018

(MSc 1) Program: Master's thesis in Mathematics with minor in Applied Mathematic
University: Universidad del Bio-Bio
Student name: Natalia Inzunza
Thesis Title: CONVERGENCIA DE UN ESQUEMA IMPLICITO-EXPLICITO PARA UN SISTEMA MIXTO PARABOLICO-HIPERBOLICO EN DOS DIMENSIONES
Advised
Status : Finished
Year: 2017


Difusión y Transferencia


Event Organization:
6) Co-organizator: Escuela de Primavera en Matemáticas Universidad del Bío-Bío. E'(UBB) = 2019. Octubre 14 al 18, 2019. Universidad del Bío-Bío.
5) Co-organizator: Mynisympossium: Numerical Methods For Traffic Flow Problems at Workshop On Numerical Analysis for Partial Differential Equations WONAPDE, Universidad de Concepción, January 21-25 2019.
4) Co-organizator: Escuela de Primavera en Matemáticas Universidad del Bío-Bío. E'(UBB) = 2018. Noviembre 12 al 18, 2018. Universidad del Bío-Bío.
3) Co-organizator: 13th CI2MA Focus Seminar: Numerical Methods for Hyperbolic and Related Problems. July 10, 2017.
2) Co-organizator: Second CI2MA Workshop : Mathematical Models in Epidemiology. July 6, 7, 2016.
1) Co-organizator: 10th Focus Seminar: Hyperbolic Problems and related equations. CI2MA. October 21th 2015.

Work presented in conferences at international level
11) XVI conferencias del Encuentro Internacional de Matemáticas (EIMAT) 17-20 de noviembre de 2020, Universidad Atlántico, Barranquilla, Colombia.
10) XXII Simposio Internacional de Métodos Matemáticos Aplicados a las Ciencias (XXII SIMMAC). UCR - San José de Costa Rica. Febrero 2020.
9) XXXVI Coloquio Nacional de la Sociedad Matemática Peruana. Chiclayo - Peru. Agosto 2019.
8) ICIAM 2019: The 9th International Congress on Industrial and Applied Mathematics (ICIAM 2019). Valencia, Spain. Julio 2019.
7) WONAPDE 2019: fourth Workshop on Numerical analysis of Partial Differential Equations. Universidad de Concepción, Concepción-Chile. January 2019.
6) HYP2018: 17th International Conference on Hyperbolic Problems. PSU, State College, USA, Jun 25th to 29th, 2018.
5) ICAMI2017: International Conference on Applied Mathematics and Informatics. San Andres Islas, Colombia. Noviembre 2017.
4) WONAPDE 2016: Fifth Workshop on Numerical analysis of Partial Differential Equations. Universidad de Concepción, Concepción-Chile. January 2016.
3) HYP2014: 15th International Conference on Hyperbolic Problems. IMPA, Rio de Janeiro, Brazil, July 28th to August 1st, 2014.
2) Valparaíso Numérico IV : Séptimo Encuentro de Análisis Numérico de Ecuaciones Diferenciales Parciales. Valparaiso, Chile, December 11 - 13, 2013
1) WONAPDE 2013: fourth Workshop on Numerical analysis of Partial Differential Equations. Universidad de Concepción, Concepción-Chile. January 2013.

Research Visits:
10) Universidad de Córdoba, Colombia, Febrero 2021
9) Universidad de Ibagué, Ibagué -Colombia, 2 week March 2020.
8) ACUMES Team, INRIA-Sophia-Antipolis-Méditerranée, Antibes- France, 4 months Mar 2016, 2 weeks Sep 2018, 2 weeks Nov 2019.
7) Universidad de Oviedo, Oviedo Spain, 1 week Jul 2019.
6) Universidad Federal de Rio de Janeiro, RJ-Brasil, 1 week Jul 2019.
5) Universidad del Norte, Barranquilla-Colombia, 1 week Sep 2016.
4) Université Versailles Saint-Quentin-en-Yvelines, Versailles-France, 1 week Nov 2013, 3 weeks Jan 2015, 4 weeks Jun 2016.
3) Universitat de Valéncia, Valencia-Spain, 11 weeks Jan 2012, 10 weeks Oct 2013, 3 weeks Feb 2015, 1 week May 2016.
2) Georgia State University , Atlanta-USA, 3 weeks Sept 2015.
1) Jacques-Louis Lions Laboratory. Université Pierre et Marie Curie, Paris 6. Paris- France, 1 Week Mar 2012, 11 Weeks Oct 2012.



 

Article (21)

A non-local pedestrian flow model accounting for anisotropic interactions and domain boundaries
Exploring a Convection-Diffusion-Reaction Model of the Propagation of Forest Fires: Computation of Risk Maps for Heterogeneous Environments
Implicit-Explicit Methods for a Convection-Diffusion-Reaction Model of the Propagation of Forest Fires
Lagrangian-antidiffusive remap schemes for non-local multi-class traffic flow models
Numerical analysis of a three-species chemotaxis model
A reaction-diffusion predator-prey model with pursuit, evasion, and nonlocal sensing
Implicit-explicit methods for a class of nonlinear nonlocal gradient flow equations modelling collective behaviour
Implicit-explicit schemes for nonlinear nonlocal equations with a gradient flow structure in one space dimension
Numerical solution of a spatio-temporal predator-prey model with infected prey
Numerical solution of a spatio-temporal predator-prey model with infected prey
HIGH-ORDER NUMERICAL SCHEMES FOR ONE-DIMENSIONAL NONLOCAL CONSERVATION LAWS
NUMERICAL SOLUTION OF A SPATIO-TEMPORAL GENDER-STRUCTURED MODEL FOR HANTAVIRUS INFECTION IN RODENTS
Antidiffusive Lagrangian-remap schemes for models of polydisperse sedimentation
MODELLING THE SPATIAL-TEMPORAL PROGRESSION OF THE 2009 A/H1N1 INFLUENZA PANDEMIC IN CHILE
On linearly implicit IMEX Runge-Kutta methods for degenerate convection-diffusion problems modeling polydisperse sedimentation
On second-order antidiffusive Lagrangian-remap schemes for multispecies kinematic flow models
LINEARLY IMPLICIT IMEX RUNGE-KUTTA METHODS FOR A CLASS OF DEGENERATE CONVECTION-DIFFUSION PROBLEMS
A Diffusively Corrected Multiclass Lighthill-Whitham-Richards Traffic Model with Anticipation Lengths and Reaction Times
ANTIDIFFUSIVE AND RANDOM-SAMPLING LAGRANGIAN-REMAP SCHEMES FOR THE MULTICLASS LIGHTHILL-WHITHAM-RICHARDS TRAFFIC MODEL
REGULARIZED NONLINEAR SOLVERS FOR IMEX METHODS APPLIED TO DIFFUSIVELY CORRECTED MULTISPECIES KINEMATIC FLOW MODELS
Spectral WENO schemes with Adaptive Mesh Refinement for models of polydisperse sedimentation

Proyecto (9)

NOLOCO- Efficient numerical schemes for non-local transport phenomena
Concurso Apoyo a Centros Científicos y Tecnólogicos de Excelencia con Financiamiento Basal
Efficient numerical schemes for non-local transport phenomena
Modelling and Numerical Analysis for Non-local Systems of Conservation Laws
Modelling and Numerical Analysis for Non-local Systems of Conservation Laws
Grupo de Investigación Métodos Numéricos y Aplicaciones (GIMNAP)
Grupo de Investigación Métodos Numéricos y Aplicaciones (GIMNAP)
Modeling and numerical schemes for multi-species kinematic flow problems on networks
Modeling and numerical schemes for multi-species kinematic flow problems on networks.
24
Luis Villada

Profesor Asociado

Matemáticas

Universidad del Bío Bío

concepcion, Chile

14
Raimund Bürger

Profesor Titular (Full Professor)

CI2MA & Departamento de Ingeniería Matemática

UNIVERSIDAD DE CONCEPCIÓN

Concepción, Chile

3
Daniel Inzunza

Postdoctorado

Departamento de Ingeniería Matemática

Universidad de Concepción

Concepción, Chile

2
Elvis Gavilán

Profesor

de Silvicultura

Universidad de Concepción

Concepción, Chile

1
Mauricio Sepúlveda

Profesor Titular

Department of Mathematical Engineering

Universidad de Concepción

Concepción, Chile