MINGuS (Multiscale Numerical Geometric Schemes) is a joint team with Inria, the IRMAR laboratory and ENS Rennes.

The research group MINGuS focuses on the mathematical and numerical analysis of PDEs possibly stochastic, arising in plasma or quantum physics. We are interested in multi-scale phenomena (highly oscillatory, dissipative). The applications we are interested in can be found in rarefied gas dynamics, radiative transfer, plasma or quantum physics, for which the multi-scale character is described by a dimensionless parameter.

Key words:

mathematical modeling, numerical analysis, multi-scale, partial differential equations, stochastic partial differential equations.


The models considered by MINGuS members arise in plasma physics (kinetic equations such as Vlasov equations) or quantum physics (Schrödinger equations).

Research axis:

The research activities of MINGuS can be articulated through three main axis:

  • mathematical modeling (analysis of multi-scale PDEs)
  • Design and analysis of multi-scale numerical methods
  • Applications to physical context

International and industrial relationships:

The members of the team have connexions with the following international institutions:

  • University Madison-Wisconsin (USA)
  • University of Cambridge (UK)
  • University of Chinese Academy of Science (China)
  • Shanghai Jiao Tong University (China)
  • National University Singapore (Singapore)
  • University of Geneva (Switzerland)
  • University of Innsbruck (Austria)
  • Max Planck Institute Garching (Germany)
  • IRFM, CEA Cadarache (France)
  • University of Ferrare (Italy)

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