• Uncertainty quantification.
    • Development and analysis of multilevel Monte Carlo methods for stochastic partial differential equations, discretisation of PDEs on stochastic domains.
    • (PIs J.Hampton, J.Principe)

  • Unfitted finite element discretisations
    • Aggregated finite element methods; high order unfitted schemes; aggregated mixed finite elements; applications in computational solid and fluid mechanics.
    • (PIs F. Verdugo, M. Caicedo, S. Badia)

  • Open source scientific software:
    • Design of advanced mathematical software, e.g., using novel programming languages and programming paradigms, scalable implementations on distributed memory machines.
    • (PIs S. Badia and F. Verdugo)