# Difference between revisions of "Research Focus"

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== Efficient Numerical Algorithms == | == Efficient Numerical Algorithms == |

## Revision as of 09:53, 23 July 2008

http://www5/wiki/index.php/Image:Forschungsschwerpunkte.jpg

## 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

## Computational Fluid Dynamics

- Discretisation and algorithms on adaptive Cartesian grids
- Fluid-structure interaction

## Fields of Application in Simulation

- Traffic
- Computational Finance
- Molecular dynamics
- Quantum chemistry

## Integration of Simulation Tasks

- Problem solving environments
- Octree-based approaches