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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
