Pierre Cantin
		Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Avenida Vicuña Mackenna, 4860 Santiago, Chile e-mail: pierre.cantin@mat.uc.cl

Recent positions

• (06/2017 - 09/2018) Post-doctoral position in Applied Mathemtics at the Pontificia Universidad Católica de Chile
  • In collaboration with Norbert Heuer
  • "Hybrid dPG methods for singularly perturbed non-linear problems" (Fondecyt project nº 3170170)
  
  
• (09/2013 - 11/2016) Phd of Applied Mathematics at CERMICS and EDF R&D
  • Under the supervision of Alexandre Ern and supported by the Code_Saturne project
  • "Approximation of scalar and vector transport problems on polyhedral meshes", [Manuscript] and [Slides]

Research activities

• Research interests
  • Numerical analysis for linear PDEs
    - Discontinuous Galerkin (dG) and Petrov-Galerkin (dPG) methods
    - Structure preserving method on polyhedral meshes
    - Nitsche penalty methods
    - Asymtptotic-preserving schemes and singularly problems
  • Numerical analysis for nonlinear PDEs
    - Discontinuous Petrov-Galerkin (dPG) methods
    - Discrete maximum principle
  • Functional analysis
    - Well-posedness of friedrichs' systems in Banach spaces
    - Ultra-weak formulations for nonlinear problems
  
  
• Publications and some talks/posters
• Upcoming events: JMZS 2018, CANUM 2018, EFEF18, CMAM-8

Teaching activities

• Pontificia Universidad Católica de Chile (08/17 - 12/17)
  • "Cálculo Científico", Ayudantía, 30h
• UPMC, Master ANEDP (02/16)
  • "Friedrichs' system and dG methods", Lecture class, 6h
• Ecole des Ponts ParisTech (09/15 - 01/16)
  • "Analysis and scientific computing", TD, 30h
• Ecole des Ponts ParisTech (02/16)
  • "Scientific computing", TD, 6h
• Université Paris-Dauphine (01/15 - 05/15)
  • "Real analysis and optimization", TD, 36h

Short CV

• Education
-(09/2013 - 11/2016) Phd of Applied Mathematics at CERMICS
-(09/2012 - 09/2013) Master 2 of Applied and Fondamental Mathematics at Université Paul Sabatier
-(09/2012 - 09/2013) Engineering school ISAE Supaéro, major in aeronautic
-(09/2010 - 09/2013) Engineering school ENSTA ParisTech, major in applied mathematics


• Computational skills
- C/C++, Fortran, Python, Matlab/Scilab
- Latex, Beamer, HTML
- Unix/Linux system


• Languages
- French, english and spanish