Research Activities

Methodologies

  • Methods for uncertainty quantification : Polynomial Chaos expansion ; sparse grids ; least squares ; Monte Carlo and multi-level Monte Carlo ; perturbation methods and sensitivity analysis ; dynamical low rank ; optimization under uncertainty ; Markov Chain Monte Carlo ;
  • Numerical approximation of partial differential equations ; finite element approximations

Applications

  • Wave propagation phenomena
  • Flow and transport in porous media
  • Compressible aerodynamics
  • Fluid structure interaction problems
  • Electromechanical models for heart dynamics