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Research Focus

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Contents

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