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.
FreeFem
