Mathieu Rigal

Post doctorant
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Affiliation actuelle
  • Institut de Mathématiques de Bordeaux (IMB)
Identifiants chercheurs
Contact

Présentation

Since December 2022 I am a post-doctoral researcher in applied mathematics, member of the team EDP et Physique mathématique at Institut de Mathématiques de Bordeaux. This is an interdisciplinar research project at the interface between applied mathematics and physics, and it is supported by an IMPT funding.

Between October 2019 and November 2022, I was a Ph.D. candidate at Sorbonne University in the Jacques-Louis Lions laboratory. This work was supervised by Nina Aguillon, Nathalie Ayi and Jacques Sainte-Marie, and was funded by the DIM MathInnov network.

My research focuses on the design, study and implementation of efficient numerical schemes for simulating complex geophysical flows. In particular I am interested in the following topics:

  • In the Boussinesq regime: nonlocal dispersive boundary layer, bathymetry impact, extreme waves formation;
  • In the nonlinear shallow water regime:
    • Asymptotic preserving implicit-explicit schemes for the low Froude limit;
    • Fully implicit and iterative kinetic schemes admitting a discrete entropy inequality;

Domaines de recherche

Analyse numérique [math.NA] Equations aux dérivées partielles [math.AP]

Compétences

Programming in Python, Matlab, C/C++

Publications

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Publications