Innovative numerical methods and high-performance computing

Numerical analysis

Research topics include fluid-structure interaction, transport equations and charged particles, equations modeling particle aggregation, Vlasov equations with strong magnetic field in dimension 3, finite-volume or hybrid discretization schemes, positivity-preserving schemes, time-based schemes.

Large dimension

In this field, the problem of dimensionality calls for the development of robust methods. We also characterize a quasi-optimal random sampling density, and study the Hamilton-Jacobi-Bellman (HJB) equations.

High-Performance Computing

These include domain decomposition methods, molecular dynamics, quantum computing, probabilistic algorithms and time parallelism.


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