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Raimund Bürger

Profesor Titular (Full Professor)

UNIVERSIDAD DE CONCEPCIÓN

Concepción, Chile

Líneas de Investigación


Numerical analysis of partial differential equations; conservation laws and related equations; applications in mineral processing, wastewater treatment, traffic modelling, mathematical biology, propagation of forest fires, and epidemiology.

Educación

  •  Mathematics, UNIVERSITAT STUTTGART. Alemania, 1996
  •  Diplom-Mathematiker, TECHNISCHE UNIVERSITAT DARMSTADT. Alemania, 1993
  •  Mathematics, UNIVERSITAT STUTTGART. Alemania, 2002

Experiencia Académica

  •   Profesor Titular Full Time

    UNIVERSIDAD DE CONCEPCION

    Facultad de Ciencias Físicas y Matemáticas

    Concepción, Chile

    2005 - At present

  •   Research Fellow / Teaching assistant Full Time

    UNIVERSITAT STUTTGART

    Faculty of Mathematics

    Stuttgart, Alemania

    1998 - 2005

  •   Post-doctoral researcher Other

    UNIVERSIDAD DE CONCEPCION

    Faculty of Engineering

    Concepción, Chile

    1997 - 1998

  •   PhD student / Research fellow Other

    UNIVERSITAT STUTTGART

    Faculty of Mathematics

    Stuttgart, Alemania

    1993 - 1997

Experiencia Profesional

  •   Profesor Titular Full Time

    Universidad de Concepción

    Concepción, Chile

    2005 - At present

  •   Profesor Asistente Full Time

    Universität Stuttgart, Alemania

    Stuttgart, Alemania

    2001 - At present

  •   Director, Doctoral Program in Applied Sciences with major in Mathematical Engineering Other

    Universidad de Concepción

    Concepción, Chile

    2020 - At present

  •   Member of area committee in mathematics and statistics (evaluation of graduate programs) Other

    Comisión Nacional de Acreditación (CNA-Chile)

    Santiago, Chile

    2010 - At present

  •   Director, Doctoral Program in Applied Sciences with major in Mathematical Engineering Other

    Universidad de Concepción

    Concepción, Chile

    2007 - 2018

  •   Member of Fondecyt study group mathematics and statistics Other

    CONICYT

    Santiago, Chile

    2007 - 2010

  •   Subdirector, Centro de Investigación en Ingeniería Matemática (Research Center in Mathematical Engineering), CI2MA Other

    Universidad de Concepción

    Concepción, Chile

    2010 - At present

  •   Member of editorial board Other

    Networks and Heterogeneous Media (WoS journal)

    Concepción, Chile

    2017 - At present

  •   Member of editorial board Other

    International Journal of Minerals, Metallurgy and Materials (WoS journal)

    Concepción, Chile

    2019 - At present

Formación de Capital Humano


I supervised, or am still supervising, the following undergraduate and gradiate theses. Further below post-doctoral researchers I hosted are listed.

Undergraduate theses:

1. Camilo Mejías, Identificación de la Función Densidad de Flujo Mediante Medición de Curvas de Asentamiento de Suspensiones y Simulación Numérica de Sedimentación Continua (Identification of the flux density function by measuring settling curves of suspensions and numerical simulation of continuous sedimentation). Memoria de Título (final thesis), Ingeniería Civil Matemática (undergraduate career in Mathematical Engineering), Universidad de Concepción; started March 2013; concluded March 12, 2015. Supervised (jointly with Professor Fernando Betancourt, Department of Metallurgical Engineering, UdeC).

2. Víctor Osores, Modelamiento Matemático y Simulación Numérica de un Sistema Shallow Water Multicapa con Sedimentación Polidispersa en dos Dimensiones Horizontales (Mathematical modelling and numerical simulation of a multilayer shallow water system with polydisperse sedimentation in two horizontal dimensions). Memoria de Título (final thesis), Ingeniería Civil Matemática (undergraduate career in Mathematical Engineering), Universidad de Concepción; started September 2013; concluded March 31, 2015. Supervised (jointly with Professor Enrique D. Fernández-Nieto, Universidad de Sevilla, Spain).

3. Julio Careaga, Modelamiento Matemático y Simulación Numérica de Sedimentadores con Area Variable en Plantas de Tratamiento de Aguas Servidas (PTAS) (Mathematical modelling and numerical simulation of settlers with variable cross-sectional area in wastewater treatment plants). Memoria de Título (final thesis), Ingeniería Civil Matemática (undergraduate career in Mathematical Engineering), Universidad de Concepción; started October 2013; concluded January 28, 2016. Supervised.

Doctoral theses:

1. Stefan Berres, Modeling, Analysis and Numerical Simulation of Polydisperse Suspensions. Doctoral Thesis (Dr. rer. nat.), Faculty of Mathematics. Universität Stuttgart, Germany, defended June 6, 2006. Terminated; supervised.

2. Antonio García, On Mathematical Models for Kinematic Flows with Discontinuous Flux, Doctoral Thesis, Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción, started March 2005; defended August 24, 2007; supervised.

3. Ricardo Ruiz, Numerical Methods and Analysis for Degenerate Parabolic Equations and Reaction-Diffusion Systems, Doctoral Thesis, Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción, started March 2007; defended December 22, 2008; supervised (jointly with Mostafa Bendahmane, U. de Bordeaux, France).

4. Carlos Vega, Hyperbolicity and Numerical Simulation of Certain Models of Polydisperse Sedimentation, Doctoral Thesis, Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción, started May 2008; defended December 29, 2010; supervised (jointly with Pep Mulet, U. de Valencia, Spain).

5. Fernando Betancourt, Conservation Laws and Related Equations with Nonlocal Fluxes and Invoutions, Doctoral Thesis, Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción, started March 2007; defended January 26, 2011; supervised (jointly with Christian Rohde, Universität Stuttgart, Germany).

6. Héctor Torres, Numerical Methods for Clarifier-Thickeners in One and Two Dimensions, Doctoral Thesis, Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción, started May 2008; defended April 19, 2011; supervised.

7. Luis Miguel Villada, Modelling and Numerical Schemes for Multi-Species Kinematic Flow Problems, Doctoral Thesis, Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción, started April 2011; defended July 8, 2013; supervised (jointly with Christophe Chalons (Université de Versailles Saint-Quentin-en-Yvelines, France, and Pep Mulet).

8. Lihki Rubio, A Contribution to the Study of Efficient Numerical Methods for Some Multi-Species Models in One Dimension, Doctoral Thesis, Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción, started September 2014; defended July 7, 2017; supervised (jointly with Pep Mulet).

9. Elvis Gavilán, Numerical solution of spatio-temporal epidemic models, Doctoral Thesis, Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción, started March 2014; defended July 12, 2018; supervised (jointly with Gerardo Chowell-Puente, School of Public Health, Georgia State University, Atlanta, GA, USA).

10. Camilo Mejías, A Contribution to the Numerical Simulation of Settling Tanks and Related Applications, Doctoral Thesis, Doctorado en Ciencias Aplicadas con Mencio ?n en Ingeniería Matemática, Universidad de Concepción, started October 2015; defended January 18, 2019; supervised (jointly with Stefan Diehl, Lund University, Sweden).

11. Víctor Osores, Multilayer Shallow Water Systems for Polydisperse Sedimentation: Theory, Numer- ics and Applications, Doctoral Thesis, Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción, started June 2016; defended November 19, 2019; supervised (jointly with Enrique D. Fernández-Nieto, Department of Applied Mathematics I, Universidad de Sevilla, Spain).

12. Daniel Inzunza, Implicit-Explicit Methods for Nonlinear and Nonlocal Convection-Diffusion-Reaction Problems, Doctoral Thesis, Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción, started November 2016; defended December 16, 2019; supervised (jointly with Pep Mulet and Luis Miguel Villada, Universidad del Bio-Bio, Concepción, Chile).

13. Paul Méndez, Numerical Methods for the Simulation of Viscous Flow and Transport in Porous Media, Doctoral Thesis, Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción, started January 2018; defended March 12, 2020; supervised (jointly with Ricardo Ruiz-Baier, School of Mathematics, Monash University, Australia).

14. Rafael Ordoñez, Modelling, Analysis and Numerical Solution of Conservation Laws with Discontinuous and Non-Local Flux Arising in Water Resources, Doctoral Thesis, Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción,started July 2017; defended January 26, 2021; supervised (jointly with Christophe Chalons and Luis Miguel Villada).

15. Yissedt Lara, Temporal and Spatial Modelling of Infectious Diseases, Invasive Forest Insects and Biological Control, Doctoral Thesis, Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción, started April 8, 2019; in progress; being supervised (jointly with Gerardo Chowell-Puente).

16. Yolanda Vásquez, Systems of convection-diffusion-reaction equations modelling unit operations in mineral processing, Doctoral Thesis, Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción, started May 3, 2019; in progress; being supervised (jointly with Stefan Diehl and María Carmen Martí).

17. Harold Deivi Contreras Contreras, Numerical analysis of balance/conservation laws with nonlocal and memory terms, Doctoral Thesis, Doctorado en Matemática Aplicada, Universidad del Bío-Bío, Concepción, started October 30, 2020; in progress; being supervised; main supervisor: L.M. Villada, co-supervisor: R. Bürger.

18. Julio Careaga, On quasi-one-dimensional conservation laws modeling sedimentation (working title), Doctial Thesis, Centre of Mathematical Sciences (CMS), Lund University, Sweden, started October 2016; in progress; being supervided; main supervisor: Stefan Diehl; co-supervisors: R. Bürger (UdeC), Eskil Hansen (CMS, Lund University, Sweden).

19. Romel Pineda, On models of reactive settling in sequencing batch reactors and related equipment (working title), Doctoral Thesis, Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción, to be started in March 2021; to be supervised (jointly with Stefan Diehl).

20. Jorge Moya, On multilayer shallow water models for the impact of tsunamis on coastal forests working title), Doctoral Thesis, Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción, to be started in April 2021; jointly with Enrique D. Fernández-Nieto, U. de Sevilla, Spain).

Post-doctoral researchers: Since 2010 I have hosted the following post-doctoral researchers (as host, ``investigador patrocinante"):

Mari Camen Martí (Universitat de València, Spain). Project Fondecyt Postdoctorado 3150140, funded by CONICYT (Chile) November 2014–October 2017 (3 years). Topic: Adaptive schemes for multidimensional polydisperse sedimentation models.

Sudarshan K. Kenettinkara (Tata Institute of Fundamental Research Centre For Applicable Mathematics, Bangalore, Karnataka, India). Project Fondecyt Postdoctorado 3150313, funded by CONICYT (Chile) November 2014–October 2016 (2 years). Topic: High order numerical methods for hyperbolic conservation laws.

David Zorío (Universitat de València, Spain). Project Fondecyt Postdoctorado 3170077, funded by CONICYT (Chile) March 2017–March 2020 (3 years). Topic: Adaptive mesh refinement applied to finite difference schemes associated with hyperbolic conservation laws defined on domains with curved boundary.

I collaborated in the evaluation and/or examination committtees of the following doctoral theses (2016-present):

Diana Celi, Study of new technologies in the water recovery processes for copper tailings. Doctoral Thesis, Doctoral Programme in Metallurgical Engineering, Universidad de Concepción, Chile, defended August 2018 (supervisor: Fernando Betancourt). I refereed this thesis as an external reviewer and was member of the examination jury.

Felisia Chiarello, Non-local conservation laws for traffic flow modeling. Doctoral Thesis, Ecole Doctorale Sciences Fondamentales et Appliqués, Université Côte d'Azur, France, defended December 6, 2019 (supervisor: Paola Goatin, INRIA Sophia Antipolis, France). I refereed this thesis as an external reviewer and was member of the examination jury.

Yanyang Qiao, Mathematical modeling of compressible and incompressible multiphase flow based on mixture theory. Doctoral Thesis, Faculty of Science and Technology, University of Stavanger, Stavanger, Norway, defended February 27, 2020 (supervisor: Steinar Evje, U. of Stavanger). I refereed this thesis as an external reviewer and was president of the examination jury ("opponent").

Hugo Carrillo, High-order approximate Lax-Wendroff methods for systems of conservation laws. Doctoral Thesis, Department of Mathematical Analysis, Statistics and Operations Research and Applied Mathematics, University of Malaga, Malaga, Spain, defended September 16, 2020 (supervisor: Carlos Parés, U. of Malaga). I refereed this thesis as an external reviewer.


Difusión y Transferencia


Presentations given since 2016 include the following:

“A random sampling approach for a family of Temple-class systems of conservation laws”, Fifth Chilean Workshop on Numerical Analysis of Partial Differential Equations (WONAPDE 2016), Universidad de Concepción, January 11–15, 2016.

“Discontinuous approximation of viscous two-phase flow in heterogeneous porous media”, Joint Annual Meeting of GAMM and DMV, Braunschweig, Germany, March 7–11, 2016.

“A random sampling approach for a family of Temple-class systems of conservation laws”, Focus Seminar on Conservation Laws, IANS, Universität Stuttgart, Germany, March 17, 2016.

“Random sampling techniques for the numerical solution of conservation laws: some recent contributions”, invited plenary talk, XXIX Jornada de Matemática de la Zona Sur, Universidad de Talca, Campus Santa Cruz, Chile, April 21–23, 2016.

“A random sampling approach for a family of Temple-class systems of conservation laws”, invited talk, Nonlinear PDEs at IMPA 2016, IMPA, Rio de Janeiro, Brazil, June 20–24, 2016.

“A random sampling approach for a family of Temple-class systems of conservation laws”, 16th International Conference on Hyperbolic Problems: Theory, Numerics, Applications, RWTH Aachen, Germany, August 1– 5, 2016.

“Mathematical modelling of secondary settling tanks in wastewater treatment plants”, invited talk, Focus Seminar on Advanced Modelling and Simulation of Wastewater Treatment Plants, Lund University, Lund, Sweden, August 9, 2016.

“A model of continuous sedimentation with compression and reactions”, Seminario de Investigación EUDIM 2016, Escuela de Ingeniería Mecánica, Universidad de Tarapacá, Arica, Chile, September 15, 2016.

“A model of continuous sedimentation with compression and reactions”, invited talk, Fourth French-Chilean Workshop on Bioprocess Modelling, Centro de Modelamiento Matemático, Universidad de Chile, Santiago, September 20–22, 2016.

“Grupo de Investigacón en Análisis Numérico de Ecuaciones Diferenciales Parciales del Centro de Investigación en Ingeniería Matemática de la Universidad de Concepción”, dissemination talk, Universidad Tecnológica de Panamá, Panamá City, Panamá, September 27, 2016.

“Promoción del Doctorado en Ciencias Aplicadas con mención en Ingeniería Matemática de la Universidad de Concepción”, dissemination talk, Universidad Tecnológica de Panamá, Panamá City, Panamá, September 30, 2016.

“A model of continuous sedimentation with compression and reactions”, Universidad Tecnológica de Panamá, Panamá City, Panamá, September 30, 2016.

“On models of continuous sedimentation with biological reactions”, invited talk, International SimTech Symposium on the Occasion of Wolfgang L. Wendland’s 80th Birthday, Universität Stuttgart, October 27, 2016.

“Approximate Lax-Wendroff discontinuous Galerkin methods for hyperbolic conservation laws”, Numerical Analysis Seminar, Lund University, Lund, Sweden, May 10, 2017.

“On diffusively corrected multispecies kinematic flow models”, Seminario de Análisis Matemático, Universidad de Málaga, Málaga, Spain, May 17, 2017.

“Approximate Lax-Wendroff discontinuous Galerkin methods for hyperbolic conservation laws”, Noveno Encuentro de Análisis Numérico de Ecuaciones Diferenciales Parciales (Santiago Numérico III), Pontificia Universidad Católica de Chile, Santiago, Chile, June 28–30, 2017.

“Entropy solutions and flux identification for a scalar conservation law modelling sedimentation in cones”, CI2MA Seminario de Análisis Numérico y Modelación Matemática, Universidad del Bio-Bio, Concepción, Chile, July 25, 2017.

“Entropy solutions and flux identification for a scalar conservation law modelling sedimentation in cones”, invited lecture, XXVI Congreso de Matemática Capricornio 2017 (COMCA 2017), Universidad de Tarapacá, Arica, Chile, August 2–4, 2017.

“Entropy solutions and flux identification for a scalar conservation law modelling sedimentation in cones”, Departament de Matemàtiques, Universitat de València, Spain, November 23, 2017.

“Entropy solutions and flux identification for a scalar conservation law modelling sedimentation in cones”, plenary invited lecture, International Conference on Applied Mathematics and Informatics (ICAMI2017), Isla San Andrés, Colombia, November 26–December 1, 2017.

“Coupling of DG schemes for viscous flow in porous media with adsorption”, invited talk, Universidad Nacional de Colombia, Sede Medellín, December 4, 2017.

“Numerical solution of a spatio-temporal gender-structured model for hantavirus infection in rodents”, invited talk, 2do Workshop Modelamiento Matemático de Sistemas Biológicos, Universidad Tecnológica Metropolitana, Santiago, Chile, January 10–12, 2018.

“Entropy solutions and flux identification for a scalar conservation law modelling sedimentation in cones” and “Promoción del Doctorado en Ciencias Aplicadas con mención en Ingeniería Matemática de la Universidad de Concepción”, Sección de Matemáticas, Sede de Occidente, Universidad de Costa Rica, San Ramón, Costa Rica, February 16, 2018.

“Mathematical and numerical treatment of polydisperse sedimentation: some recent developments”, Kolloquium über neuere Arbeiten auf dem Gebiet der Mechanik und Strömungslehre, TU Wien, Vienna, Austria, March 15, 2018.

“Coupling of DG schemes for viscous flow in porous media with adsorption”, 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics, TU München, Munich, Germany, March 19–23, 2018.

“Convection-diffusion-reaction and transport-flow problems motivated by problems of sedimentation: some recent advances”, invited plenary talk, XXXI Jornada de Matemática de la Zona Sur, Universidad Austral de Chile, Valdivia, Chile, April 25–27, 2018.

“A dynamic multilayer shallow water model for polydisperse sedimentation”, Seminario del Departamento de Matemática y Física Aplicadas, Universidad Católica de la Santísima Concepción, Concepción, Chile, May 4, 2018.

“On the efficient computation of smoothness indicators for optimal-order WENO reconstructions”, 17th International Conference on Hyperbolic Problems: Theory, Numerics, Applications, Pennsylvania State Uni- versity, University Park, PA, USA, June 25–29, 2018.

“On entropy stable schemes for degenerate parabolic multispecies kinematic flow models”, XXVII Congreso de Matemática Capricornio 2018 (COMCA 2018), Universidad de Antofagasta, Antofagasta, Chile, July 25–27, 2018.

“On convection-diffusion-reaction and transport-flow problems modelling sedimentation”, invited lecture, International Congress of Mathematicians (ICM 2018), Rio de Janeiro, Brazil, August 1–9, 2018.

“Sucesiones y series con aplicaciones" and “On convection-diffusion-reaction and transport-flow problems modelling sedimentation”, outreach talks, Liceo Politécnico Capitán Ignacio Carrera Pinto, San Carlos, Chile, August 23, 2018.

“On convection-diffusion-reaction and transport-flow problems modelling sedimentation”, Seminario Hubert
Mennickent, Universidad de Concepción, September 6, 2018.

“Promoción del Doctorado en Ciencias Aplicadas con mención en Ingeniería Matemática de la Universidad de Concepción”, outreach talk,
“Introducción a la Epidemiología Matemática” (short course), Programa de Maestría en Ingeniería Matemática, and “Numerical solution of a spatio-temporal gender-structured model for hantavirus infection in rodents”, Facultad de Ciencias y Tecnología, Universidad Tecnológica de Panamá, Panamá City, Panamá, October 5, 2018.

“On convection-diffusion-reaction and transport-flow problems modelling sedimentation”, Workshop 2018 Matemática-Estadística, Universidad de Atacama, Copiapó, Chile, October 25 and 26, 2018.

“On smoothness indicators for high-order weighted essentially non-oscillatory (WENO) reconstructions”, Numerical Analysis Seminar, Lund University, Lund, Sweden, November 7, 2018.

“Modelamiento matemático para problemas de sedimentación”, invited talk, IV Encuentro Nacional de Ingeniería Matemática (ENIM 2018), Universidad de Concepción, December 12–14, 2018.

“Mathematical and numerical treatment of polydisperse sedimentation: some recent developments”, invited keynote lecture (communicated via skype), International Conference on Numerical Analysis, Computing and Applications in Science, Engineering and Technology, Mohandas College of Engineering and Technology, Thiruvananthapuram, Kerala, India, December 17–20, 2018.

“On convection-diffusion-reaction and transport-flow problems modelling sedimentation”, “Numerical Analysis of PDEs@CI2MA: some current research topics”, and “Some current research topics”, Department of Mathematics, Indian Institute of Space Science and Technology (IIST), Thiruvananthapuram, Kerala, India, January 11 to 15, 2019.

“Numerical Analysis of PDEs@CI2MA: some current research topics” and “Some current research topics”, Mohandas College of Engineering and Technology, Thiruvananthapuram, Kerala, India, January 14, 2019.

“On mathematical problems and numerical simulation of batch sedimentation and continuous thickening”, “Recent advances on modelling sedimentation in cones and vessels with variable cross-sectional area”, and “Mathematical models and numerical simulation of polydisperse sedimentation”, School of Civil and Resource Engineeering, University of Science and Technology Beijing (USTB), Beijing, China, June 11 and 12, 2019.

“On convection-diffusion-reaction and transport-flow models of thickening”, invited lecture, 4th International Seminar on Paste Backfill in China (ISPBC2019), Preess Resort & Hotel, Changsha, China, June 14–17, 2019.

“A system of conservation laws with discontinuous flux modelling flotation with sedimentation”, Coloquio, Departamento de Ingeniería Matemática, Universidad de Concepción, Chile, June 25, 2019.

“A model of flotation with sedimentation: steady states and numerical simulation of transient operation”, Foundations of Mineral Processing & Extractive Metallurgy International Conference (FoMPEM 2019), Antofagasta, Chile, July 2–4, 2019.

“On a linearly implicit scheme for strongly degenerate diffusion equations” and “Flux identification of scalar conservation laws from sedimentation in a cone”, 9th International Congress of Industrial and Applied Mathematics (ICIAM2019), Valencia, Spain, July 15–19, 2019.

“Mathematical models and numerical simulation of wastewater treatment and related processes: some recent advances”, invited keynote lecture, Focus Seminar on Advanced Modelling and Simulation of Wastewater Treatment Plants, Lund University, Lund, Sweden, August 9, 2019.

“On conservation laws and multilayer shallow water systems modeling flotation and sedimentation”, invited plenary talk, French-Latin-American Conference on New Trends in Applied Mathematics (FLACAM2019), Centro de Modelamiento Matemático (CMM), Universidad de Chile, Santiago, November 5–8, 2019.

“On convection-diffusion-reaction and transport-flow models of thickening”, Department of Energy and Petroleum Engineering, University of Stavanger, Stavanger, Norway, February 25, 2020.

In the period 2016-present I was involved in the organization of the following events:

Member of the Scientific Committee, 5th Chilean Workshop on Numerical Analysis of PDEs, Universidad de Concepción, Chile, January 11-15, 2016.

Member of the Scientific Committee, 6th Chilean Workshop on Numerical Analysis of PDEs, Universidad de Concepción, Chile, January 21-25, 2016.

Organizer, jointly with Luis Miguel Villada, of Second CI²MA Workshop: Mathematical Models in Epidemiology, Universidad de Concepción, Chile, July 6 and 7, 2016.

Organizer, jointly with Fernando Betancourt, of Third CI²MA Workshop: Mathematical modelling and simulation for bioprocesses, wastewater treatment and mineral processing,
Universidad de Concepción, Chile, September 27 and 28, 2017.

Organizer, jointly with Luis Miguel Villada, of Fourth CI²MA Workshop: Mathematical Models in Epidemiology, Universidad de Concepción, Chile, June 18 and 19, 2018.

Member of the Scientific Committee, 4th International Seminar on Paste Backfill in China (ISPBC2019), Preess Resort & Hotel, Changsha, China, June 14–17, 2019.

Organizer, jointly with Stefan Diehl, of a minisymposium Sedimentation, flotation, and related processes: modeling, numerics, applications, and calibration (three sessions, 10 presentations) within the 9th International Congress of Industrial and Applied Mathematics (ICIAM2019), Valencia, Spain, July 15–19, 2019.

During the period 2016-present I undertook research visits to the folloing international centers:

IANS, Universtät Stuttgart, Germany, 3 days in March 2016 amd 2 days in October 2016

Centre of Mathematical Sciences, Lund University, Lund, Sweden, 1 week in August 2016; 1 week in May 2017; 1 week in November 2018; 1 week in August 2019

Universidad Tecnológica de Panamá, Panama City, Panama, 1 week in September 2016; 1 week in October 2018

Department of Mathematical Analysis, Statistics and Operations Research and Applied Mathematics, University of Malaga, Malaga, Spain, 1 week in May 2017

Department of Applied Mathematics, University of Valencia, Spain, 1 week in November 2017; 1 month as a Visiting Professor in July/August 2019

Universidad Nacional de Colombia, Sede Medellín, Medellín, Colombia, 3 days in December 2017

Universidad de Costa Rica, Sede de Occidente, Sección de Matemáticas, San Ramón, Costa Rica, one day in February 2018

Technical University of Vienna, Institute of Fluid Mechanics, Vienna, Austria, 3 days in March 2018

Indian Institute of Space Science and Technology (IIST), Thiruvananthapuram, Kerala, India, 2 weeks in January 2019

University of Science and Technology Beijing (USTB), School of Civil and Resource Engineeering, Beijing, China, 4 days in June 2019

INRIA Sophia Antipolis, France, 1 week in December 2019.

University of Stavanger, Department of Energy and Petroleum Engineering, Stavanger, Norway, 1 week in February 2020.


Premios y Distinciones

  •   Invitation, lecture at ICM 2018

    International Congress of Mathematicians (ICM 2018)

    Brasil, 2018

    I was an invited speaker during the International Congress of Mathematicians 2018 (ICM 2018), a mathematical event organized by the International Mathematical Union that brought together mathematicians from all over the world in Rio de Janeiro, Brazil, from August 1st to 9th. (This is also the event at which the famous Fields medal is awarded.) In Mathematics an invitation to give a talk at an ICM, which is held every four years only, is considered as a distinction. The topic of my talk, within the section "Numerical Analysis and Scientific Computing", was "On convection-diffusion-reaction and transport-flow problems modeling sedimentation".

  •   Municipal Science Award, Concepción, 2020

    City Council, Concepción

    Chile, 2020

    In October 2020 I was awarded the Concepción City Hall Science Award 2020. for my scientific trajectory within the city of Concepción. The City Hall Science Prize is awarded annually in the context of the anniversary activities of the city of Concepción, which in this occasion turns 470 years. (See linked information at CI2MA website.)


 

Article (150)

A new permeability model of the compressible tailings thickening bed based on the throat structure parameters
A computational approach to identifiability analysis for a model of the propagation and control of COVID-19 in Chile
A difference scheme for a triangular system of conservation laws with discontinuous flux modeling three-phase flows
A Hilliges-Weidlich-type scheme for a one-dimensional scalar conservation law with nonlocal flux
A Model of Froth Flotation with Drainage: Simulations and Comparison with Experiments
A model of reactive settling of activated sludge: Comparison with experimental data
A well-balanced and entropy stable scheme for a reduced blood flow model
An efficient three-level weighted essentially non-oscillatory scheme for hyperbolic equations
Effect of variations in the polar and azimuthal angles of coarse particles on the structure of drainage channels in thickened beds
Global existence in a food chain model consisting of two competitive preys, one predator and chemotaxis
Numerical schemes for a moving-boundary convection-diffusion-reaction model of sequencing batch reactors
Research on floc structure and physical properties based on pipeline flocculation
Structural evolution of bed drainage channels under the shear effect of the whole process of tailings thickening
Utilization of rice straw as an inhibitor of strength deterioration of sulfide-rich cemented paste backfill
A degenerating convection-diffusion system modelling froth flotation with drainage
A moving-boundary model of reactive settling in wastewater treatment. Part 1: Governing equations
A moving-boundary model of reactive settling in wastewater treatment. Part 2: Numerical scheme
A Population Balance Model for Shear-Induced Polymer-Bridging Flocculation of Total Tailings
An investigation of spatial-temporal patterns and predictions of the coronavirus 2019 pandemic in Colombia, 2020-2021
Optimization of Parameters for Rheological Properties and Strength of Cemented Paste Backfill Blended with Coarse Aggregates
Study of steel ball recharge and consumption in a wet cement industrial mill via a population balance model
A method-of-lines formulation for a model of reactive settling in tanks with varying cross-sectional area
A multiclass Lighthill-Whitham-Richards traffic model with a discontinuous velocity function
Effect of interparticle interactions on the yield stress of thickened flocculated copper mineral tailings slurry
Measuring differences between phenomenological growth models applied to epidemiology
Second-order schemes for axisymmetric Navier-Stokes-Brinkman and transport equations modelling water filters
Three-level order-adaptive weighted essentially non-oscillatory schemes
Virtual element methods for the three-field formulation of time-dependent linear poroelasticity
A Multilayer Shallow Water Approach for Polydisperse Sedimentation with Sediment Compressibility and Mixture Viscosity
A non-local pedestrian flow model accounting for anisotropic interactions and domain boundaries
A review of flux identification methods for models of sedimentation
An Efficient Third-Order WENO Scheme with Unconditionally Optimal Accuracy
Convergence of H(div)-conforming schemes for a new model of sedimentation in circular clarifiers with a rotating rake
Exploring a Convection-Diffusion-Reaction Model of the Propagation of Forest Fires: Computation of Risk Maps for Heterogeneous Environments
Flotation with sedimentation: Steady states and numerical simulation of transient operation
Implicit-Explicit Methods for a Convection-Diffusion-Reaction Model of the Propagation of Forest Fires
Numerical analysis of a three-species chemotaxis model
On approximate implicit Taylor methods for ordinary differential equations
Optimization of flocculation and settling parameters of tailings slurry by response surface methodology
Simulation and control of dissolved air flotation and column froth flotation with simultaneous sedimentation
A DYNAMIC MULTILAYER SHALLOW WATER MODEL FOR POLYDISPERSE SEDIMENTATION
A system of conservation laws with discontinuous flux modelling flotation with sedimentation
An Entropy Stable Scheme for the Multiclass Lighthill-Whitham-Richards Traffic Model
Central WENO Schemes Through a Global Average Weight
Comparative analysis of phenomenological growth models applied to epidemic outbreaks
Computational uncertainty quantification for some strongly degenerate parabolic convection-diffusion equations
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
On entropy stable schemes for degenerate parabolic multispecies kinematic flow models
ON H(div)-CONFORMING METHODS FOR DOUBLE-DIFFUSION EQUATIONS IN POROUS MEDIA
On the Efficient Computation of Smoothness Indicators for a Class of WENO Reconstructions
WENO Reconstructions of Unconditionally Optimal High Order
A conservation law with multiply discontinuous flux modelling a flotation column
A DIFFERENCE SCHEME FOR A DEGENERATING CONVECTION-DIFFUSION-REACTION SYSTEM MODELLING CONTINUOUS SEDIMENTATION
A population balance model of ball wear in grinding mills: An experimental case study
A random sampling method for a family of Temple-class systems of conservation laws
COUPLING OF DISCONTINUOUS GALERKIN SCHEMES FOR VISCOUS FLOW IN POROUS MEDIA WITH ADSORPTION
Estimating the hindered-settling flux function from a batch test in a cone
Flux identification of scalar conservation laws from sedimentation in a cone
Implicit-Explicit Methods for the Efficient Simulation of the Settling of Dispersions of Droplets and Colloidal Particles
Linearly implicit-explicit schemes for the equilibrium dispersive model of chromatography
NUMERICAL SOLUTION OF A SPATIO-TEMPORAL GENDER-STRUCTURED MODEL FOR HANTAVIRUS INFECTION IN RODENTS
A simulation model for settling tanks with varying cross-sectional area
Approximate Lax-Wendroff discontinuous Galerkin methods for hyperbolic conservation laws
Concentration-driven models revisited: towards a unified framework to model settling tanks in water resource recovery facilities
ENTROPY SOLUTIONS OF A SCALAR CONSERVATION LAW MODELING SEDIMENTATION IN VESSELS WITH VARYING CROSS-SECTIONAL AREA
Numerical solution of a multi-class model for batch settling in water resource recovery facilities
On constitutive functions for hindered settling velocity in 1-D settler models: Selection of appropriate model structure
Stability analysis and finite volume element discretization for delay-driven spatio-temporal patterns in a predator-prey model
Antidiffusive Lagrangian-remap schemes for models of polydisperse sedimentation
Computational uncertainty quantification for a clarifier-thickener model with several random perturbations: A hybrid stochastic Galerkin approach
Discontinuous approximation of viscous two-phase flow in heterogeneous porous media
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
On time discretizations for the simulation of the batch settling-compression process in one dimension
Polynomial viscosity methods for multispecies kinematic flow models
Simulations of reactive settling of activated sludge with a reduced biokinetic model
Discontinuous finite volume element discretization for coupled flow-transport problems arising in models of sedimentation
Efficient parameter estimation in a macroscopic traffic flow model by discrete mollification
Impact on sludge inventory and control strategies using the benchmark simulation model no. 1 with the Burger-Diehl settler model
LINEARLY IMPLICIT IMEX RUNGE-KUTTA METHODS FOR A CLASS OF DEGENERATE CONVECTION-DIFFUSION PROBLEMS
A hybrid stochastic Galerkin method for uncertainty quantification applied to a conservation law modelling a clarifier-thickener unit
Advanced methods of flux identification for clarifier-thickener simulation models
Modeling and controlling clarifier-thickeners fed by suspensions with time-dependent properties
A consistent modelling methodology for secondary settling tanks: a reliable numerical method
A Diffusively Corrected Multiclass Lighthill-Whitham-Richards Traffic Model with Anticipation Lengths and Reaction Times
A multilayer shallow water system for polydisperse sedimentation
ANTIDIFFUSIVE AND RANDOM-SAMPLING LAGRANGIAN-REMAP SCHEMES FOR THE MULTICLASS LIGHTHILL-WHITHAM-RICHARDS TRAFFIC MODEL
Convexity-preserving flux identification for scalar conservation laws modelling sedimentation
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
A MULTIRESOLUTION METHOD FOR THE SIMULATION OF SEDIMENTATION IN INCLINED CHANNELS
A STABILIZED FINITE VOLUME ELEMENT FORMULATION FOR SEDIMENTATION-CONSOLIDATION PROCESSES
Difference schemes stabilized by discrete mollification for degenerate parabolic equations in two space dimensions
Monotone Difference Schemes Stabilized by Discrete Mollification for Strongly Degenerate Parabolic Equations
On reliable and unreliable numerical methods for the simulation of secondary settling tanks in wastewater treatment
On the hyperbolicity of certain models of polydisperse sedimentation
A consistent modelling methodology for secondary settling tanks in wastewater treatment
A STRONGLY DEGENERATE PARABOLIC AGGREGATION EQUATION
On nonlocal conservation laws modelling sedimentation
On the implementation of WENO schemes for a class of polydisperse sedimentation models
A finite volume scheme for cardiac propagation in media with isotropic conductivities
A Multiresolution Space-Time Adaptive Scheme for the Bidomain Model in Electrocardiology
Adaptive Multiresolution Methods for the Simulation of Waves in Excitable Media
Centrifugal Settling of Flocculated Suspensions: A Sensitivity Analysis of Parametric Model Functions
HYPERBOLICITY ANALYSIS OF POLYDISPERSE SEDIMENTATION MODELS VIA A SECULAR EQUATION FOR THE FLUX JACOBIAN
ON SOME DIFFERENCE SCHEMES AND ENTROPY CONDITIONS FOR A CLASS OF MULTI-SPECIES KINEMATIC FLOW MODELS WITH DISCONTINUOUS FLUX
Second-order schemes for conservation laws with discontinuous flux modelling clarifier-thickener units
Adaptive multiresolution schemes with local time stepping for two-dimensional degenerate reaction-diffusion systems
AN ENGQUIST-OSHER-TYPE SCHEME FOR CONSERVATION LAWS WITH DISCONTINUOUS FLUX ADAPTED TO FLUX CONNECTIONS
Numerical Approximation of Oscillatory Solutions of Hyperbolic-Elliptic Systems of Conservation Laws by Multiresolution Schemes
On a doubly nonlinear diffusion model of chemotaxis with prevention of overcrowding
A family of numerical schemes for kinematic flows with discontinuous flux
A GENERALIZED KINETIC MODEL OF SEDIMENTATION OF POLYDISPERSE SUSPENSIONS WITH A CONTINUOUS PARTICLE SIZE DISTRIBUTION
A kinematic model of continuous separation and classification of polydisperse suspensions
Centrifugal settling of polydisperse suspensions with a continuous particle size distribution: A generalized kinetic description
Conservation laws with discontinuous flux: a short introduction
Difference schemes, entropy solutions, and speedup impulse for an inhomogeneous kinematic traffic flow model
Fully adaptive multiresolution schemes for strongly degenerate parabolic equations in one space dimension
Fully adaptive multiresolution schemes for strongly degenerate parabolic equations with discontinuous flux
On the settling of a bidisperse suspension with particles having different sizes and densities
Adaptive multiresolution WENO schemes for multi-species kinematic flow models
Multiresolution schemes for strongly degenerate parabolic equations in one space dimension
On Riemann problems and front tracking for a model of sedimentation of polydisperse suspensions
On the well-posedness of entropy solutions to conservation laws with a zero-flux boundary condition
Steady-state, control, and capacity calculations for flocculated suspensions in clarifier-thickeners
A semi-implicit monotone difference scheme for an initial-boundary value problem of a strongly degenerate parabolic equation modeling sedimentation-consolidation processes
Mathematical models for the sedimentation of suspensions
Neumann problems for quasi-linear parabolic systems modeling polydisperse suspensions
Numerical simulation of clarifier-thickener units treating ideal suspensions with a flux density function having two inflection points
On an extended clarifier-thickener model with singular source and sink terms
On an upwind difference scheme for strongly degenerate parabolic equations modelling the settling of suspensions in centrifuges and non-cylindrical vessels
A relaxation scheme for continuous sedimentation in ideal clarifier-thickener units
Applications of polydisperse sedimentation models
Mathematical model and numerical simulation of the dynamics of flocculated suspensions in clarifier-thickeners
Numerical identification of parameters for a flocculated suspension from concentration measurements during batch centrifugation
Numerical identification of parameters for a strongly degenerate convection-diffusion problem modelling centrifugation of flocculated suspensions
Settling velocities of particulate systems: 13. A simulator for batch and continuous sedimentation of flocculated suspensions
Settling velocities of particulate systems: 14. Unified model of sedimentation, centrifugation and filtration of flocculated suspensions
Software for the design and simulation of gravity thickeners
Thickening in the 20th century: A historical perspective
Phenomenological model of filtration processes: 1. Cake formation and expression
Settling velocities of particulate systems: 120. Batch centrifugation of flocculated suspensions
A mathematical model for sedimentation-consolidation processes
Applications of the phenomenological theory to several published experimental cases of sedimentation processes
Model equations for gravitational sedimentation-consolidation processes
Numerical simulation of the settling of polydisperse suspensions of spheres
Settling velocities of particulate systems: 11. Comparison of the phenomenological sedimentation-consolidation model with published experimental results

ConferencePaper (9)

Convection-diffusion-reaction and transport-flow problems motivated by models of sedimentation: some recent advances
A model for continuous sedimentation with reactions for wastewater treatment
Concentration-driven models revisited: Towards a unified framework to model settling tanks in WWTPs
WENO schemes for multi-dimensional porous media flow without capillarity
Uncertainty Quantification for a Clarifier-Thickener Model with Random Feed
A conservation law with discontinuous flux modelling traffic flow with abruptly changing road surface conditions
Numerical solution of an inverse problem for a scalar conservation law modelling sedimentation
A Numerical Descent Method for an Inverse Problem of a Scalar Conservation Law Modelling Sedimentation
A multiresolution method for the simulation of sedimentation-consolidation processes

ConferencePoster (2)

Modelling flotation with sedimentation by a system of conservation laws with discontinuous flux
A model for continuous sedimentation with reactions for WWT

EditorialMaterial (5)

Special Issue: Fourth Chilean Workshop on Numerical Analysis of Partial Differential Equations (WONAPDE 2013), Universidad de Concepcion, Chile
Special Issue: Third Chilean Workshop on Numerical Analysis of Partial Differential Equations (WONAPDE), 11-15 January 2010, Universidad de Concepcion, Chile Preface
Special Issue: Second Chilean Workshop on Numerical Analysis of Partial Differential Equations (WONAPDE 2007) Preface
ECI Conference on Solid-Liquid Separation Systems IV - Foreword
Thickening in the 20(th) century: a historical perspective

Proyecto (26)

Theory, numerics, and applications for systems of conservation laws, convection-diffusion-reaction problems, and coupled flow-transport problems
Convection-diffusion-reaction equations in industrial and biological processes
Numerical methods for PDE with degenerate diffusion and multiscale techniques in signal processing
Centro de Modelamiento Matemático
Efficient numerical schemes for non-local transport phenomena
Adaptive mesh refinement applied to finite difference schemes associated with hyperbolic conservation laws defined on domains with curved boundary
Modelling, numerical analysis and scientific computing for convection-diffusion-reaction equations and coupled flow-transport problems
Modelling, numerical analysis and scientific computing for convection-diffusion-reaction equations and coupled flow-transport problems
Nueva Tecnología para Aumentar la Recuperación de Agua en Plantas Concentradoras de Minerales de Cobre
New technology to increase water recovery in copper concentration plants
Numerical analysis, scientific computing and control of transport phemomena of hyperbolic type
ADAPTIVE SCHEMES FOR MULTI-DIMENSIONAL POLYDISPERSE SEDIMENTATION MODELS.
Adaptive schemes for multidimensional polydisperse sedimentation models
High order numerical methods for hyperbolic conservation laws
HIGH ORDER NUMERICAL METHODS FOR HYPERBOLIC CONSERVATION LAWS
Anillo de Investigación Científica y Tecnológica en Análisis Numérico de Ecuaciones Diferenciales Parciales (ANANUM)
Centro de Recursos Hídricos para la Agricultura y la Minería (CRHIAM)
CRHIAM=> Centro de Recursos Hídricos para la Agricultura y la Minería
Mathematical and numerical analysis of selected convection-diffusion problems with applications in engineering and epidemiology
Mathematical and numerical analysis of selected convection-diffusion-reaction problems with applications in engineering and epidemiology
INNOVA Chile 08-CM01-17 "Instrumentacion y Control de Espesadores"
Non-standard conservation laws and related equations=> theory, numericas and applications
BASAL project PFB03 Centro de Modelamiento Matemático
Simulation and parameter identification for suspensions in laboratory centrifuges and settling vessels
Simulation and parameter identification for suspensions in laboratory centrifuges and settling vessels
Simulation and parameter identification for suspensions in laboratory centrifuges and settling vessels

Review (1)

On models of polydisperse sedimentation with particle-size-specific hindered-settling factors
180
Raimund Bürger

Profesor Titular (Full Professor)

CI2MA & Departamento de Ingeniería Matemática

UNIVERSIDAD DE CONCEPCIÓN

Concepción, Chile

14
Luis Villada

Profesor Asociado

Matemáticas

Universidad del Bío Bío

concepcion, Chile

10
Mauricio Sepúlveda

Profesor Titular

Department of Mathematical Engineering

Universidad de Concepción

Concepción, Chile

10
Stefan Berres

Associate Professor

Departamento de Ciencias Matemáticas y Físicas

Universidad Católica de Temuco

Temuco, Chile

5
Anibal Coronel

academico

ciencias basicas

UNIVERSIDAD DEL BIO-BIO

Chillan, Chile

5
Antonio García

Académico

Departamento de Ingeniería Metalúrgica y Minas

UNIVERSIDAD CATÓLICA DEL NORTE

Antofagasta, Chile

5
Fernando Betancourt

Profesor Asociado

Departamento de Ingeniería Metalúrgica

Universidad de Concepción

Concepción, Chile

3
LEIDY LARA

ACADÉMICO INVESTIGADOR

MATEMÁTICA, FÍSICA Y ESTADÍSTICA

Universidad Católica del Maule

TALCA, Chile

3
Rodolfo Rodriguez

Full Professor

Ingeniería Matemática

UNIVERSIDAD DE CONCEPCION

Concepción, Chile

2
Elvis Gavilán

Profesor

de Silvicultura

Universidad de Concepción

Concepción, Chile

2
Víctor Osores

Académico

Matemática, Física y Estadística

Universidad Católica del Maule

Talca, Chile

2
Daniel Inzunza

Postdoctorado

Departamento de Ingeniería Matemática

Universidad de Concepción

Concepción, Chile

2
Mar Mart

Académico

Departamento de Matemática y Física Aplicadas

Universidad Católica de la Santísima Concepción

Concepción, Chile

2
Hector Torres

Académico

Matemáticas

UNIVERSIDAD DE LA SERENA

La Serena, Chile

2
Gabriel Gatica

Senior Researcher and Full Professor

Center for Research in Mathematical Engineering and Department of Mathematical Engineering

Universidad de Concepcion

Concepcion, Chile

1
Norbert Heuer

PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE, FACULTAD DE MATEMATICAS

Santiago, Chile

1
Leopoldo Gutierrez

Profesor Asociado

Ingeniería Metalúrgica

Universidad de Concepción

Concepción, Chile

1
David Mora

Associate Professor

Department of Mathematics

UNIVERSIDAD DEL BIO-BIO

CONCEPCION, Chile