Research Activities

Methodologies

  • Methods for uncertainty quantification: Polynomial Chaos expansion; Stochastic Galerkin methods; stochastic collocation on sparse grids; discrete 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
  • Electro-mechanical models for heart dynamics