# Difference between revisions of "Research Focus"

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[[Image:Forschungsschwerpunkte.jpg]] | [[Image:Forschungsschwerpunkte.jpg]] | ||

− | = Efficient Numerical Algorithms = | + | == Efficient Numerical Algorithms == |

* High-dimensional numerics – Sparse Grids | * High-dimensional numerics – Sparse Grids | ||

* Fast iterative solvers – multi-level methods, preconditioners | * Fast iterative solvers – multi-level methods, preconditioners | ||

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* Numerical algorithms for image processing | * Numerical algorithms for image processing | ||

− | = Parallel & High-Performance Computing = | + | == Parallel & High-Performance Computing == |

* HW-aware numerical programming | * HW-aware numerical programming | ||

* Parallelisation – MPI, OpenMP, hybrid; load balancing, scalability | * Parallelisation – MPI, OpenMP, hybrid; load balancing, scalability | ||

* Grid Computing | * Grid Computing | ||

− | = Computational Fluid Dynamics = | + | == Computational Fluid Dynamics == |

* Discretisation and algorithms on adaptive Cartesian grids | * Discretisation and algorithms on adaptive Cartesian grids | ||

* Fluid-structure interaction | * Fluid-structure interaction | ||

− | = Fields of Application in Simulation = | + | == Fields of Application in Simulation == |

* Traffic | * Traffic | ||

* Computational Finance | * Computational Finance | ||

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* Quantum chemistry | * Quantum chemistry | ||

− | = Integration of Simulation Tasks = | + | == Integration of Simulation Tasks == |

* Problem solving environments | * Problem solving environments | ||

* Octree-based approaches | * Octree-based approaches |

## Revision as of 07:44, 23 July 2008

## 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