Research Focus

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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

Quantum Computing and Computational Physics

• Tensor network methods
• Quantum Monte Carlo
• Neural-network quantum states
• Quantum Boltzmann equations
• Quantum algorithms