
Mathieu Rigal
- Institut de Mathématiques de Bordeaux (IMB)
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
Compétences
Publications
Publications
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General boundary conditions for a Boussinesq model with varying bathymetryStudies in Applied Mathematics, 2024
Article dans une revue
hal-04441332
v1
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Implicit kinetic schemes for the Saint-Venant system2024
Pré-publication, Document de travail
hal-04048832
v2
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ADAPTIVE WAVELET SCHEMES AND FINITE VOLUMES2020
Pré-publication, Document de travail
hal-02504922
v1
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Low Froude regime and implicit kinetic schemes for the Saint-Venant systemNumerical Analysis [math.NA]. Sorbonne Université, 2022. English. ⟨NNT : 2022SORUS423⟩
Thèse
tel-03990446
v2
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