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Computational Mathematics

Computational Mathematics

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Dr. Manuela Bastidas Olivares

Hasselt UniversityManuela Bastidas
Faculty of Sciences 
Discipline group Mathematics and statistics
Research group Computational mathematics

Campus Diepenbeek
Agoralaan Gebouw D (Room nr.: C101a)
BE 3590 Diepenbeek, Belgium
E-mail: manuela.bastidas@uhasselt.be
Telephone: +32-11-268296

My main field of research is numerical analysis. I also worked on areas like artificial intelligence, stochastic process and flow problems. In all cases the focus was on mathematical and computational approaches.

Currently I work on the simulation of the dynamic behavior of fluids immersed in highly anisotropic and heterogeneous porous media. My goal is to develop mathematical models and numerical schemes to solve multi scale problems defined in complex domains with evolving interfaces at the micro scale. 


Born on October 13th, 1991 in Medellín, Colombia.
Languages: Spanish, English.

Work and education

2017 - 2021: Ph.D.-candidate in Mathematics at Hasselt University, Computational Mathematics group (defended on May 6th, 2021).
2014 - 2016: Master of Science (MSc) in Mathematics, National University of Colombia.,Medellín-Colombia.
2009 – 2013: B.Sc. in Mathematical Engineering, EAFIT University, Colombia.

Profesional experience

2017: Assistant Professor, EAFIT University, Medellín-Colombia.
Department of Basic Sciences – Artificial Intelligence.
2016: Assistant Professor, EAFIT University, Medellín-Colombia.
Department of Systems engineering - Numerical Methods for engineers.
2016: Assistant Professor, National University of Colombia, Medellín-Colombia.
Department of Basic Sciences - Numerical Methods for engineers.
2015–2016: Graduate assistant professorship, National University of Colombia, Medellín-Colombia. Department of Basic Sciences - Numerical Methods for engineers.
2014: Graduate assistant professorship, National University of Colombia, Medellín-Colombia. Department of Basic Sciences - Linear Algebra.

List of publications

Refereed journal publications:

  1. M. Bastidas Olivares, C. Bringedal, I.S. Pop, A two-scale iterative scheme for a phase-field model for precipitation and dissolution in porous media, Appl. Math. Comput. Vol. 396 (2021), 125933 (see also CMAT Report UP-20-05,). 
  2. M. Bastidas Olivares, B. López-Rodríguez, M. Osorio, A High-Order HDG Method with Dubiner Basis for Elliptic Flow Problems, Ingeniería y Ciencia Vol. 16, No. 32 (2020), 33-54
  3. M. Bastidas Olivares, C. Bringedal, I.S. Pop, F.A. Radu, Numerical homogenization of non-linear parabolic problems on adaptive meshesJ. Comput. Phys. Vol. 425 (2021), 109903 (see also CMAT Report UP-19-04).  
  4. H. Hajibeygi, M. Bastidas Olivares, M. HosseiniMehr, I.S. Pop, M.F. Wheeler, A benchmark study of the multiscale and homogenization methods for fully implicit multiphase ow simulations with adaptive dynamic mesh (ADM),  Adv. Water Res. Vol 143 (2020), 103674, (see also CMAT Report UP-19-08).
  5. O.L.Q., Montoya, L.F. Villa, S. Muñoz, A.C.R. Arenas, M. Bastidas, Information retrieval on documents methodology based on entropy filtering methodologies. International Journal of Business Intelligence and Data Mining, Volume 10, No. 3 (2015), 280-296.
  6. O. Lucía Quintero, Fabian L. Jaramillo, Manuela Bastidas. Modelling perspective for the relevant market of voice services: Mobile to mobile, MaskanaVol. 6, No. 2 (2015), 187-201.
  7. M. Bastidas, L. Quintero, J.J. Garcia, Inteligencia De Mercados: Comportamientos Estratégicos Sobre Precios De Oferta En El Mercado Spot Eléctrico Colombiano (Market Intelligence: Strategic Behaviors with Prices in the Colombian Electricity Spot). Documentos de trabajo Economía y Finanzas No. 13-6 (2014).
  8. F.H. Marín, M.Bastidas, Numerical solution of pricing of European call option with stochastic volatility, International Journal of Research and Reviews in Applied Sciences, Volume 13, Issue 3 (2012).


  1. C. Cances, J. Droniou, C. Guichard, G. Manzini, M. Bastidas Olivares, I.S. Pop, Error estimates for the gradient discretisation of degenerate parabolic equation of porous medium type, in Polyhedral Methods in the GeosciencesSEMA SIMAI Springer Series, Vol. 27, Springer International Publishing, 2021, pp. 37-72 (see also CMAT Report UP-20-04, Hasselt University).  
  2. M. Bastidas, C. Bringedal, I.S. Pop, Numerical simulation of a phase-field model for reactive transport in porous media, in Numerical Mathematics and Advanced Applications - ENUMATH 2019, Lecture Notes in Computational Science and Engineering, Vol. 139, Springer International, 2021, pp. 93-102 (see also CMAT Report UP-20-02, Hasselt University). 
  3. S. Rodríguez, M. Bastidas, O. L. Quintero, Order Dependent One-Vs-All Tree Based Binary Classification Scheme for Multiclass Automatic Speech Emotion Recognition. Memorias del XVI Congreso Latinoamericano de Control Automático, CLCA 2014.
  4. D Sierra-Sosa, M Bastidas, OL Quintero, Double Fourier analysis for Emotion Identification in Voiced Speech, Journal of Physics: Conference Series, Volume 705, conference 1 (2016), 012035.
  5. D Campo, OL Quintero, M Bastidas, Multiresolution analysis (discrete wavelet transform) through Daubechies family for emotion recognition in speechJournal of Physics: Conference SeriesVolume 705, conference 1 (2016), 012034.


Ruben Dario Sierra, Manuela Bastidas, Olga Lucia Quintero, Dinamica poblacional del Aedes Aegypti, desde la perspectiva matemática con aplicación al municipio de Bello. 120 p. Editorial Académica Española 2015.


Método de Galerkin Discontinuo Híbrido para la Ecuación de Darcy, Master thesis, Universidad Nacional de Colombia, Facultad de Ciencias, Escuela de Matemáticas Medellín, Colombia, 2016.

Multi-scale methods for the numerical simulation of flow and reactive transport in porous media, Ph.D. thesis, Hasselt University, Faculty of Sciences, May 2021. 

CMAT Reports (Hasselt University):

  1. M. Bastidas Olivares, S. Sharmin, C. Bringedal, I.S. Pop, A numerical scheme for two-scale phase-field models in porous media, CMAT Report UP-21-04, Hasselt University.