Efficient Numerical Algorithms
- High-dimensional numerics – Sparse Grids
- Fast iterative solvers – multi-level methods, preconditioners
- Adaptive, octree-based grid generation
- Space-filling curves
- Numerical linear algebra
- Numerical algorithms for image processing
Parallel & High-Performance Computing
- HW-aware numerical programming
- Parallelisation – MPI, OpenMP, hybrid; load balancing, scalability
- Grid Computing
Uncertainty Quantification
- Stochastic Collocation / gPC Methods for different simulation applications
- Sparse Grids in Uncertainty Quantification
Computational Fluid Dynamics
- Discretisation and algorithms on adaptive Cartesian grids
- Fluid-structure interaction
Fields of Application in Simulation
- Molecular dynamics
- Quantum chemistry
- CFD
- Traffic
- Computational Finance
Integration of Simulation Tasks
- Problem solving environments
- Octree-based approaches
