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.

(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

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.