Numerical Analysis; Partial Differential Equations.

ADVISOR

Underdegraduate theses

1. Erwin Eladio Henríquez Lagos. Numerical Methods for a Mathematical Model of Solidification. Degree of Mathematical Engineer in the Center of Modeling and Scientific Computation of the Universidad de la Frontera (Temuco). Co-supervised with Prof. Andrés Avila of the Center for Modeling and Scientific Computation of the Universidad de la Frontera, Temuco, Chile. 2004; supervised.

2. Ricardo Esteban Ruiz Baier. Multiresolution methods applied in some Engineering Models. Thesis of Mathematical Engineer. Department of Mathematical Engineering, U. de Concepción, Chile, 2005.

3. Alex Francisco Córdova Morales. Error Estimates in a Finite Volume method for a transport equation in porous media. Thesis of Mathematical Engineer. Department of Mathematical Engineering, U. de Concepción, Chile, 2010.

4. Jorge Luis Espinoza Ortega. High order numerical methods for a system of Lifshitz-Slyzov type equations with applications to polymer models. Thesis of Mathematical Engineer. Department of Mathematical Engineering, U. de Concepción, Chile, 2018.

5. Felipe Andres Jara Zubieta. Model of propagation and control of epidemiological processes of indirect transmission between two populations. Thesis of Mathematical Engineer. Department of Mathematical Engineering, U. de Concepción, Chile, In course (2017).

Graduate theses

1. Aníbal Coronel Pérez. Study of an Inverse Problem for a Degenerate Parabolic Equation with Applications to Sedimentation Theory. Doctoral Thesis, Doctorate in Applied Sciences with major in Mathematical Engineering, U. de Concepción, started March 2000; defended September 30, 2004.

2. Emilio Cariaga López. Mathematical Modeling of Leaching Processes in Copper Head. Doctoral Thesis, Doctorate in Applied Sciences with major in Mathematical Engineering, U. de Concepción, started March 2003; defended June 25, 2008 (Co-adviser: Prof. Fernando Concha).

3. Verónica Anaya Domínguez. Mathematical and numerical analysis of some models of population dynamics with non-linear diffusion. Doctoral Thesis, Doctorate in Applied Sciences with major in Mathematical Engineering, U. de Concepción, started August 2008; defended April 19, 2011.

4. Rodrigo Véjar. Study of stability and conservative numerical methods for a High order Nonlinear Schrödinger Equation. Doctoral Thesis, Doctorate in Applied Sciences with major in Mathematical Engineering, U. de Concepción, started April 2017; defended December 2019 (Co-adviser: Prof. Marcelo M. Cavalcanti, Universidad de Maringá, Brasil).

Postdoctoral advisor

1. Alice Kozakevicius (Postdoc Fondap in Applied Mathematics 15000001): Multiresolution methods for degenerate parabolic equations and systems of conservation laws. Advisor: Mauricio Sepúveda. March-August 2005.

2. Stefan Berres (Postdoc Fondap in Applied Mathematics 15000001): Systems of conser- vation laws modelling polydisperse sedimentation. Advisors: Raimund Büger, Mauricio Sepúlveda. Universidad de Concepción. January-December 2007.

3. Tatiana Voitovich (Postdoc Fundación Andes, project C-14055): Discontinuous Galerkin methods for degenerate parabolic equations. Advisors: Raimund Büger, Mauricio Sepúveda. Universidad de Concepción. January-December 2007.

4. Vikas Gupta (Postdoc Mecesup UCO0713): Numerical Analysis on PDE. Advisors: Raimund Bürger, Mauricio Sepúlveda. Universidad de Concepción (advisors). October-November 2010.

5. Verónica Anaya (Fondecyt-Postdoctorate 3120197): Analysis and Error for Finite Volume Element Schemes for Reaction-Diffusion Systems with Application in Population Dynamics. October 2011-September 2014

6. Erwan Hingant (Fondecyt-Postdoctorate 3130318): Mathematical and numerical methods for coagulation-fragmentation with diffusion equation. October 2012-September 2015

PARTICIPATION IN CONGRESSES

International Conference on Applied Mathematics.

1. M. Sepulveda, Identification of coefficients of a chromatography model from experimental data. 23th National Congress of Numerical Analysis, Royan, France. May 1991.
2. F. James, M. Sepulveda, Parameter identification for an hyperbolic equation modelling chromatography. IV International Conference on Hyperbolic Problems, Taormina, Italia. April 1992.
3. W. Jager, M. Postel, P. Valentin, M. Sepulveda, Numerical simulation and identification of reactive liquids in a chromatographic column. Workshops in Rahmen des BMFT-Foerderprogramms. Munich, Germany. December 1995.
4. F. James, M. Sepulveda, Identification Problems for a Transport Equation Modeling Chromatography, 5th Workshop in PDE, IMPA, Rio de Janeiro, Brazil. July 1997.
5. G. Guiochon, F. James, and M. Sepulveda. Numerical results for the flux identification in a system of conservation laws. VII Internat. Conf. on Hyperbolic Problems, Zurich, Switzerland. February, 1998.
6. F. James, M. Postel, and M. Sepulveda, Numerical comparison between relaxation and nonlinear equilibrium models. Application to chemical engineering. Godunov Methods: Theory & Applications Conference. Oxford, England. October 1999.
7. M. Sepulveda, Numerical Methods for Conservation Laws Modeling Chromatography and Distillation. SIAM Annual Meeting. San-Diego, EEUU. July 2001.
8. A. Coronel, M. Sepulveda, Identification of parameters for a model of sedimentation processes. 11th Workshop in PDE, IMPA, Rio de Janeiro, Brazil. July, 2003.
9. J.-C. Ceballos, M. Sepulveda, O. Vera, The Korteweg de Vries - Kawahara equation in a boundary domain approximating the quarter-plane problem. ALECHILE Workshop. Analysis und numerische Methoden fuer Partielle Diferentialgleichungen der Stroemungs und Festkrpermechanik. Universidad de Stuttgart, Germany. January 13, 2005.
10. J.-C. Ceballos, M. Sepulveda, O. Vera, The Korteweg de Vries - Kawahara equation in a boundary domain approximating the quarter-plane problem. Workshop on Partial Differential Equations. To celebrate the 60th Birthday of Professor Gustavo Perla Menzala. LNCC, Petropolis, Brazil. August 10 - 12, 2005.
11. A. Coronel, R. Burger, F. James and M. Sepuveda, Inverse Problems for Strongly Degenerated Parabolic Equations. MAFELAP 2006. Brunel University, Uxbridge, Inglaterra. June 13–16, 2006.
12. R. Burger, R. Ruiz, K. Schneider, M. Sepulveda, Fully adaptive multiresolution schemes for strongly degenerate parabolic equations with discontinuous flux. ICIAM 2007. 6th International Congress on Industrial and Applied Mathematics. Minisymposium on Conservation laws with discontinuous flux. ETH, Zurich, Switzerland, July 16-20, 2007
13. M. Sepulveda, O. Vera Numerical Method for the KdV-Kawahara and Benney-Lin equations. ICIAM 2007. 6th International Congress on Industrial and Applied Mathematics. Contributed Talk Session on Numerical methods for PDEs: evolution problems. ETH, Zurich, Switzerland, July 16-20, 2007
14. F. Linares, A. Pazoto,M. Sepulveda, O. Vera. Numerical scheme with uniform exponential decay for the critical case of KdV equation with damping. Workshop on Partial Differential Equation, LNCC/MCT and IM/UFRJ Auditorium of CBPF/LNCC, Rio de Janeiro Brasil. August 28-31, 2007.
15. S. Pop, F. Radu, M. Sepulveda, O. Vera, Error estimates for the finite volume dis- cretization for the porous medium equation. 13th International Congress on Computational and Applied Mathematics. Katholieke Universiteit Leuven and Universiteit Gent, Ghent, Belgica, July 07-11, 2008.
16. M. Sepulveda, O. Vera, Numerical methods for generalized KDV equations. Minisymposium Wavelets e metodos numericos para EDPs. XXXI National Congress of Applied and Computational Mathematics. SBMAC, Univerzidade da Amazonia, Campus BR, Belem-PA, Brazil, September 08-11, 2008.
17. M. Sepulveda, FV Methods for Nonlocal and Degenerate Diffusion-Reaction Systems (Conference). XXXI National Congress of Applied and Computational Mathematics. SB- MAC, Univerzidade da Amazonia, Campus BR, Belem-PA, Brasil, September 08-11, 2008.
18. M. Sepulveda, Error Estimates for the Finite Volume Method for a Copper Heap Leaching Model. Minisymposium MS63 (Effective and Reliable Simulations of Solute Transport in Porous Media). SIAM Conference on Mathematical and Computational Issues in the Geosciences (SIAM-GS09). Leipzig Kubus Conference Center. Leipzig, Germany. July 15-18, 2009.
19. V. Anaya, M. Bendahmane, M. Sepulveda, Finite volumes method for nonlocal reaction-diffusion problems and application to the population dynamics. Workshop Com- putational and Applied Mathematics for Engineering - WAMCE 2010, Universidad de Asuncion, San Lorenzo, Paraguay. October 25-26, 2010.
20. M. Sepulveda, Convergence Analysis of a Vertex-centered Finite Volume Scheme for a Copper Heap Leaching Model. Minisymposium MS29 (Convergent Numerical Schemes for Flow and Solute Transport in Porous Media). SIAM Conference on Mathematical and Computational Issues in the Geosciences (SIAM-GS11). Hilton Long Beach & Executive Meeting Center. Long Beach, California (USA). March, 21-24 2011.
21. M. Sepulveda, Convergent finite volume schemes for nonlinear diffusion reaction equations. Applications for mining, biology, and population dynamics. X Workshop on Partial Differential Equations and Applications. Belem, Para, Brazil. August 29 - September 01, 2011.
22. M. Sepulveda, Some numerical results and difficulties in dispersion equations. Control and Asymptotic Properties of Models in Partial Differential Equations. National Laboratory of Scientific Computation (LNCC). Petropolis - Brazil. September 05-06, 2011.
23. M. Sepulveda, Newmark numerical approach to study stability in transmission problems with localized Kelvin Voigt dissipation. XI Workshop on Partial Differential Equations and Applications. IM/UFRJ and LNCC, Rio de Janeiro, Brazil, August 28-31, 2012.
24. M. Sepulveda, Convergent Finite Volume Schemes for Nonlocal and Cross Diffusion Reaction Equations. Applications to biology. European Numerical Mathematics and Advanced Applications (ENUMATH 2013). Ecole Polytechnique Federal de Lausanne, Lausanne, Switzerland, August 26-30, 2013.
25. M. Sepulveda: Numerical Analysis for the Lack of Exponential Stability in Certain Transmission Problems with Localized Kelvin-Voigt Dissipation. XIII Workshop on Partial Differential Equations and Applications (WPDE2014), To celebrate the 70th Anniversary of Professor Gustavo Perla Menzala, National Laboratory of Scientific Computation (LNCC), Petropolis, Brazil, September 9-12, 2014.
26. M. Sepulveda: Uniform stabilisation for a finite difference of the 1-d Timoshenko system. Summer Seminar in PDE, National Laboratory of Scientific Computation (LNCC), Petropolis, Brazil, March 16-17, 2015.
27. M. Sepúlveda: Numerical methods for Timoshenko system with shear boundary dissipation. Exponential stability. XIV Workshop on Partial Differential Equations and Applications (WPDE2015), National Laboratory of Scientific Computation (LNCC), Petropolis, Brazil, September 22-25, 2015.
28. M. Sepulveda: Numerical methods for localized viscoelastic transmission problem and Timoshenko system with indefinite damping. XV Workshop on Partial Differential Equations and Applications (WPDE2016) to celebrate the 60th Anniversary of Professor Marcelo Moreira Cavalcanti, National Laboratory of Scientific Computation (LNCC), Petropolis, Brazil, September 13-16, 2016.
29. M. Sepúlveda: Numerical Methods for Viscoelastic and Thermoelastic Problems. VII Simposio Internacional de Matemática Aplicada, efectuado en la Universidad Nacional Mayor de San Marcos, Lima, Perú, desde el 3 al 7 de Julio de 2017.
30. M. Sepúlveda: Numerical Methods for Viscoelastic and Thermoelastic Problems. XVI Workshop on Partial Differential Equations and Applications (WPDE2017), efectuado en el LNCC, Petrópolis, Brasil, desde el 12 al 15 de Septiembre de 2017.
31. M. Sepúlveda: Numerical methods for a High order Nonlinear Schrödinger Equation modelling Fiber Optics. International Conference on Applied Analysis and Mathematical Modelling (ICAAMM2018), efectuado en la Gelisim Üniversitesi, Istambul, Turquía, desde el 20 al 24 de Junio de 2018.
32. M. Sepúlveda: A virtual element method for a nonlocal FitzHugh-Nagumo model of cardiac electrophysiology. Workshop: Modélisation et Calcul Numérique pour la Biomathématique (WIMCB), Higher School of Technology of Essaouira, Essaouira, Marroc, July 8-10, 2019. [Plenary Conference]
33. M. Sepúlveda: Stability analysis of numerical methods for damped dispersive equations. V Symposium on Partial Differential Equations to celebrate the 60th birthday of Jaime Muñoz Rivera, Universidade Estadual de Maringá, Maringá, Brazil, Octuber 22-24, 2019.
34. M. Sepúlveda: A virtual element method for a nonlocal FitzHugh-Nagumo model of cardiac electrophysiology. WCCM-ECCOMAS Congress. Virtual Congress. January 11-15, 2021. https://slideslive.com/38946471/a-virtual-element-method-for-a-nonlocal-fitzhughnagumo-model-of-cardiac-electrophysiology

National Conference on Mathematics.

1. M. Postel, M. Sepulveda, Modelling and numerical analysis for the propagation of a fluid on a porous medium. 4to Congreso Franco-Latinoamericano de Matematicas Aplicadas. Concepcion, Chile. December 1995.
2. F. James, M. Postel, and M. Sepulveda, Numerical comparison between relaxation and nonlinear equilibrium models. Application to chemical engineering. Workshop on Numerical Analysis. 5to Congreso Franco-Latinoamericano de Matematicas Aplicadas. U. de Chile, Santiago, December 15-18, 1998.
3. F. James, M. Postel, and M. Sepulveda, Numerical comparison between models of non-linear equilibrium and relaxation. Application in Chemical Engineering. XIII Jornadas de Matematicas de la Zona Sur. U. Austral, Valdivia. April 21-23, 1999.
4. M. Sepulveda, Several models of conservation laws with kinetic terms, and some numerical results. XIV Jornadas de Matematicas de la Zona Sur. U. de Temuco, Lican-Ray. April 26-29, 2000.
5. M. Sepulveda, Convergence results for the identification of the flow in a law of scalar conservation. X Congreso de Matematicas Capricornio, COMCA 2000. Universidad de la Serena. August 2-5, 2000.
6. M. Sepulveda, An inverse problem for the identification of flow in a conservation law. Short Course on Numerical Methods. CMM/Concepcion Workshop. Project FONDAP. CMM, Universidad de Chile, Santiago, November 27-28, 2000.
7. M. Sepulveda, Some models of conservation laws and their approximation through terms of diffusion, relaxation and/or numerical methods. XV Jornadas de Matematicas de la Zona Sur. U. de Concepcion. April 25-27, 2001.
8. M. Sepulveda, A system of Hyperbolic Equations as models of a Chromatography process and resolution of an Inverse problem. Workshop en EDP y Sistemas Dinamicos. Departamento de Matematicas, Universidad de la Frontera, Temuco, June 22-23, 2001.
9. M. Sepulveda, Relaxation limit and boundary layers for hyperbolic systems with applications to chemical engineering. XI Congreso de Matematicas Capricornio, COMCA 2001. Universidad de Atacama. Copiapo. August 1-4, 2001.
10. M. Sepulveda, Relaxation limit and boundary layers for hyperbolic systems. Application to Chemical Engineering. XII Congreso de Matematicas Capricornio, COMCA 2002. Universidad Arturo Prat. Iquique. July 31-August 3, 2002
11. A. Coronel, M. Sepulveda, Identification of parameters for a model of sedimentation processes. XVII Jornadas de Matematicas de la Zona Sur. U. Catolica de Temuco. Trailanqui. April 23-25, 2003.
12. J.-C. Ceballos, M. Sepulveda, O. Vera, The Korteweg - de Vries - Kawahara equa- tion in a boundary domain approximating the quarter-plane problem. LXXVI Encuentro de la Sociedad de Matematicas de Chile. Olmue, October 28 al 30, 2004.
13. J.-C. Ceballos, M. Sepulveda, O. Vera, The KdV - Kawahara equation in a bounded domain. Miniworkshop sobre Modelos Matematicos para Problemas de Mecanica del Medio Continuo. Campus Fdo. May, U. del Bio-Bio, Sede Chillan. December 07, 2004.
14. R. Burger, A. Kozakevicius, M. Sepulveda, Multiresolution scheme for degenerate parabolic equations. XV Congreso de Matematicas Capricornio, Special Session of Numerical Analysis. Universidad de Antofagasta, Chile. August 3-6, 2005.
15. R. Burger, A. Coronel, M. Sepulveda, A semi-implicit monotone difference scheme for an initial- boundary value problem of a strongly degenerate parabolic equation modelling sedimentation-consolidation processes. XV Congreso de Matematicas Capricornio, Special Session of Numerical Analysis. Universidad de Antofagasta, Chile. August 3-6, 2005.
16. R. Burger, Ricardo Ruiz, K. Schneider and M. Sepulveda, Fully adaptive multiresolution scheme for degenerate parabolic equations. XX Jornadas de la Matematica de la Zona Sur. Universidad de Los Lagos, Hotel Termas de Puyehue, Osorno, Chile. 26-28 de April de 2006
17. M. Sepulveda, Adaptive multiresolution methods for discontinuous solutions of equations that model metallurgical engineering processes. Interdisciplinary Scientific Workshop. Department of Mathematics, Faculty of Sciences, Universidad del Bio-Bio, Chile. May 25, 2006.
18. M. Sepulveda, Study of transport equations with dispersive terms. Wellposedness and Numerical Method. Second Workshop of Partial Differential Equations and Dynamic Systems. CMCC, Universidad de la Frontera, Temuco, Chile. September 11-12, 2006.
19. Raimund, Burger, Ricardo Ruiz, Kai Schneider, M. Sepulveda, Fully adaptive multiresolution schemes for strongly degenerate parabolic equations in one space dimension. WONAPDE 2007. Minisymposium on Multiresolution and wavelets. Universidad de Concepcion, Concepcion, Chile. January 16-19, 2007.
20. M. Sepulveda, O. Vera, Numerical method for the KdV-Kawahara and Benney-Lin equations. WONAPDE 2007. Minisymposium on Numerical methods for conservation laws and related equations. Universidad de Concepcion, Concepcion, Chile. January 16-19, 2007.
21. M. Sepulveda, O. Vera, Numerical method for the KdV-Kawahara and Benney-Lin equations. WONAPDE 2007. Minisymposium on Numerical methods for conservation laws and related equations. Universidad de Concepcion, Concepcion, Chile. January 16-19, 2007.
22. M. Sepulveda, Parameter Identification Techniques for Metallugical Engineering. MM- MINING 2007. Workshop on Rock Mechanics and Logistics in Mining. Contributions on Metallurgic and Materials. Hotel Torre Mayor, CMM, Santiago de Chile. February 26-March 2, 2007.
23. M. Sepulveda, Coupled system of Korteweg de Vries equations type in domains with moving boundaries. XXI Jornadas de Matematicas de la Zona Sur. Special Session of Numerical Analysis. U. de la Santisima Concepcion. Sur Activo, Talcahuano, Chile. April 25-27, 2007.
24. M. Sepulveda, Metodos Numericos para Ecuaciones Dispersivas No-lineales. Workshop Iberoamericano de Matematicas Aplicadas. Campus Fernando May, Universidad del Bio- Bio, Chillan, Chile. August 6-8, 2007.
25. M. Sepulveda O. Vera, Numerical Methods for dispersive equations. III Workshop on Applied Mathematics, WAM 2007. Universidad de Antofagasta, Antofagasta, Chile. November 22-23, 2007
26. M. Bendahmane, M. Sepulveda, Convergence of a finite volume scheme for nonlocal reaction-diffusion systems modelling an epidemic disease. Valparaiso Numerico III, December 4-6, 2007.
27. F. Linares, A. Pazoto, M. Sepulveda, O. Vera. Numerical scheme with uniform exponential decay for the critical case of KdV equation with damping. XXII Jornada de Matematica de La Zona Sur. Special Session of Numerical Analysis. Universidad Austral de Chile, Valdivia, Chile, April 23-25, 2008
28. M. Sepulveda, Finite volumes method for nonlocal reaction-diffusion problems and application to the population dynamics. Workshop Iberoamericano de Matematicas Aplicadas. Campus Fernando May, Universidad del Bio-Bio, Chillan, Chile. December 2-4, 2008.
29. I.S. Pop, M. Sepulveda, Error estimates for the finite volume discretization for the porous medium equation. Santiago Numerico I. Fourth Meeting on Numerical Analysis of Partial Differential Equations.. Facultad de Matematicas, Pontificia Universidad Catolica de Chile, January 14-16, 2009.
30. V. Anaya, M. Bendahmane, M. Sepulveda, Finite volumes method for nonlocal reaction-diffusion problems and application to the population dynamics. XXIII Jornada de Matematica de la Zona Sur. Universidad de Magallanes, Punta Arenas. April 28-30, 2009.
31. V. Anaya, M. Bendahmane, M. Sepulveda, Mathematical and numerical analysis for a predator-prey system in a polluted environment. XXIII Jornada de Matematica de la Zona Sur. Universidad de Magallanes, Punta Arenas. April 28-30, 2009.
32. M. Sepulveda, Numerical scheme for the critical generalized Korteweg-de Vries equation. Seminar. Current & New Trends in Scientific Computing. CMM - Universidad de Chile. Santiago, Chile. October 5-9, 2009.
33. V. Anaya, M. Bendahmane, M. Sepulveda, Finite volumes method for nonlocal reaction-diffusion problems and application to the population dynamics. WONAPDE 2010. Minisymposium on Numerical Methods in Life Sciences Modeling. Universidad de Concepcion, Concepcion, Chile. January 11-15 2010.
34. E. Cariaga, I. S. Pop, M. Sepulveda, Finite volumes method for nonlocal reaction- diffusion problems and application to the population dynamics. WONAPDE 2010. Minisymposium on Numerics Modelling and Applications in the Mining Industry. Universidad de Concepcion, Concepcion, Chile. January 11-15, 2010.
35. M. Sepulveda, Finite volumes methods for nonlocal reaction-diffusion systems. Applications to population dynamics. Third Workshop of Partial Differential Equations and Dynamic Systems. CMCC, Universidad de la Frontera, Temuco, Chile. June 10-11, 2010.
36. V. Anaya, M. Bendahmane, M. Sepulveda, Finite volumes methods for nonlocal reaction-diffusion systems. Applications to population dynamics. II Taller en Arqueologia-Matematica, Universidad de Tarapaca, Arica, Chile, October 18-21, 2010.
37. M. Sepulveda, A numerical study of the exponential stability for some models of Thermo-viscoelasticity. Interdisciplinary Scientific Workshop. Departamento de Matematicas. Universidad del Bio-Bio, Concepcion, Chile. October 20, 2010.
38. M. Sepulveda, Stabilization of a second order scheme for a GKdV-4 equation modelling surface water waves. SANTIAGO NUMERICO II. Fifth Meeting on Numerical Analysis of Partial Differential Equations. Facultad de Matematicas, Pontificia Universidad Catolica de Chile. December 9-11, 2010.
39. M. Sepulveda, Convergent finite volume schemes for solute transport in porous media. First CI2MA Focus SeminarNumerical Methods for Convection-Diffusion Problems. CI2MA, Universidad de Concepcion, Chile. April 20, 2011.
40. M. Sepulveda, Numerical study of exponential stability and unstability for some thermoviscoelastic models. 4th International Workshop on EDP and Dynamical Systems. Instituto de Ciencias Fisicas y Matematicas. Universidad Austral de Chile. Valdivia, Chile. June 21-22, 2011.
41. m: Alves, J. Munoz Rivera, M. Sepulveda, O. Vera, M. Zegarra, Polynomial de- cay for transmission problem in viscoelasticity. La Serena Numerica I. Sixth Meeting on Numerical Analysis of Partial Differential Equations. Departamento de Matematicas, Universidad de La Serena, December 14-16, 2011.
42. C. Buriol , M. Sepulveda, O. Vera, Numerical Methods for dispersive water wave equations, XXV Jornada de Matematica de la Zona Sur, Universidad de Concepcion, April 18-20, 2012.
43. m: Alves, J. Munoz Rivera, M. Sepulveda, O. Vera, Exponential and the lack of exponential stability in transmission problems with localized Kelvin Voigt dissipation, XXI Congreso de Matematica Capricornio (COMCA2012), Universidad de Antofagasta, August 1-4, 2012.
44. M. Sepulveda, Research Activities in Mathematical Engineering. Presentation DIM & CI2MA, Seminar of High Performance Computing (HPC 2012)., CMCC, Universidad de la Frontera, Temuco, October 8-12, 2012.
45. M. Sepulveda, Numerical methods and exact solutions for a Benney-Lin equation type, Special Session of Numerical Analysis. XXV Jornada de Matematica de la Zona Sur, Universidad Catolica del Maule, Termas de Quinamavida. Region del Maule, Chile, April 24-26, 2013.
46. M. Sepulveda, Numerical methods for a porous medium problem, 4th CI2MA Focus Seminar: Polymers and numerical methods for chemical engineering, Universidad de Concepcion, May 30, 2013.
47. M. Sepulveda, Newmark-B numerical approach to study stability in transmission problems with localized kelvin-Voigt dissipation, Interdisciplinary Workshop on Partial Differential Equations, Universidad del Bio-Bio, Concepcion, Chile, October 10, 2013.
48. M. Sepulveda, Numerical methods for dispersive and dissipative water wave equations, Special Session of Numerical Analysis. LXXXII Encuentro Anual Sociedad Matematica de Chile, Olmue, V Region, November 7-9, 2013.
49. M. Sepulveda, Convergent Finite Volume Schemes for Nonlocal and Cross Diffusion Reaction Equations. Applications to biology, Seventh Meeting on Numerical Analysis of Partial Differential Equations.(Valparaiso Numerico IV), PUCV, December 11-13, 2013.
50. M. Sepulveda, Convergent Finite Volume Schemes for Nonlocal and Cross Diffusion Reaction Equations. Applications to biology, Seminar of Numerical Analysis and Mathematical Modeling, CI2MA-UdeC y DMAT-UBB, April 15, 2014.
51. M. Sepulveda: Uniform stabilisation for a finite difference of the 1-d Timoshenko system. Eighth Meeting on Numerical Analysis of Partial Differential Equations. (LA SERENA NUMERICA II), Universidad de La Serena, La Serena, Chile, January 14-16, 2015
52. M. Sepulveda: Convergence of a level-set algorithm in scalar conservation laws . 10th CI2MA Focus Seminar: Numerical Methods for Hyperbolic and Related Problems, Universidad de Concepcion, Concepcion, Chile, October 21, 2015.
53. M. Sepulveda: Convergence of a finite volume scheme for a sorption-coagulation equation . LXXXIV Encuentro Anual de la Sociedad Matematica de Chile (SOMACHI), Pucon, Chile, November 26-28, 2015.
54. J. Munoz-Rivera, R. Racke, M. Sepulveda: On exponential stability for thermoelastic plates – a comparison of different models. Ninth Meeting on Numerical Analysis of Partial Differential Equations. (SANTIAGO NUMERICO III), Pontificia Universidad Catolica de Chile, June 28-30, 2017.
55. M. Sepúlveda: On exponential stability for thermoelastic plates – a comparison of different models. 13th CI2MA Focus Seminar on Numerical Methods for Hyperbolic and Related Problems, Universidad de Concepción, July 10, 2017.
56. M. Sepúlveda: On exponential stability for thermoelastic plates – a comparison of different models. LXXXVI Encuentro Anual SOMACHI, [Sesión: Análisis Numérico de Ecuaciones Diferenciales Parciales], Universidad de Talca, July 2-4, 2017.
57. M. Sepúlveda: Numerical methods for a High order Nonlinear Schrödinger Equation modelling Fiber Optics. XXXI Jornada de Matemática de la Zona Sur [Sesión: Análisis Numérico y Modelación Matemática], Universidad Austral de Chile, Valdivia, Chile, April 25-27, 2018.
58. M. Sepúlveda: On exponential stability for thermoelastic plates: comparison and singular limits. 14th CI2MA Focus Seminar on Finite Element and Related Methods for PDEs in Continuum Mechanics, Universidad de Concepción, August 27-28, 2018.
59. M. Sepúlveda: A virtual element method for a nonlocal FitzHugh–Nagumo model of cardiac electrophysiology. WONAPDE 2019: Sixth Chilean Workshop on Numerical Analysis of Partial Differential Equations, Universidad de Concepción, Chile, January 21-25, 2019.[Minisimposium: Recent Advancements in Polygonal Methods].
60. M. Sepúlveda: Análisis de estabilidad y métodos numéricos para ecuaciones dispersivas amortiguadas. XXXII Jornada de Matemática de la Zona Sur, Universidad de Magallanes, Punta Arenas, Chile, April, 24-26, 2019. [Plenary Conference].
61. M. Sepúlveda: Stability analysis of numerical methods for damped dispersive equations. French-Latin-American Conference on New Trends in Applied Mathematics (FLACAM 2019), on the occasion of the 80th anniversary of the CNRS, Centro de Modelamiento Matemático (CMM), Universidad de Chile, Santiago, Chile, November 5-8, 2019. [Sesión: Numerical Methods for Partial Differential Equations]

Invited to Seminars [Last 5 years]

M. Sepúlveda: Estabilizacao de métodos numéricos para sistemas viscoelásticos. Seminario de Análise / EDP, efectuado en el Instituto de Matemática de la Universidad Federal de Rio de Janeiro, Brazil, January 29, 2015.
M. Sepúlveda: Stabilization of numerical methods for viscoelastic systems. Seminario, efectuado en el Departamento de Matemática, Universidad Estadual de Londrina, PR, Brasil, June 10, 2015.
1. M. Sepúlveda: Numerical methods for Timoshenko system with shear boundary dissipation. Exponential stability. Seminario de Análisis Numérico y Modelación Matemática, CI²MA, Universidad de Concepción and DMAT, Universidad del Bío-Bío, Concepción, Chile. November 24, 2015.
2. M. Sepúlveda: Stability analysis of a numerical method for damped dispersive equations. Seminaire EDP, Analyse et Applications, efectuado en el Laboratoire de Mathématiques et Applications de Metz (LMAM), Université de Lorraine, Metz, France, June 8, 2018.
3. M. Sepúlveda: Stability analysis of a numerical method for damped dispersive equations. Oberseminars Partielle Dierentialgleichungen, efectuado en el Fachbereich Mathematik und Statistik, Universitat Konstanz, Konstanz, Germany, June 14, 2018.
5. M. Sepúlveda: Métodos numéricos para ecuaciones de evolución no-lineales. Coloquio del Departamento de Ingeniería Matemática, Universidad de Concepción, Concepción, Chile, October 1, 2019.
6. M. Sepúlveda: A virtual element method for a nonlocal FitzHugh-Nagumo model of cardiac electrophysiology. Seminario de Análisis Numérico y Modelación Matemática (SANMoMa). CI²MA, Universidad de Concepción and DMAT, Universidad del Bío-Bío, Concepción, Chile. November 10, 2020. [Virtual Seminar].
7. M. Sepúlveda: Energy Conservative Finite Difference Methods for Dispersive Equations. Seminario de EDP e Matemáticas Aplicadas. Universidade Federal Fluminense. Brazil. February 10, 2021. [Virtual Seminar].

EVENT ORGANIZATION [Last 5 years]

1. LXXXIV Encuentro Anual de la Sociedad Matemática de Chile (SOMACHI), Pucón, November 26-28, 2015 [M. Sepúlveda, organizer of the numerical analysis session].
2. French-Latin-American Conference on New Trends in Applied Mathematics (FLACAM 2019), on the occasion of the 80th anniversary of the CNRS, efectuada en el Centro de Modelamiento Matemático (CMM), Universidad de Chile, Santiago, Chile, November 5-8, 2019. [Co-organized by M. Sepúlveda].