# 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 | ||

Line 9: | Line 9: | ||

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

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

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

+ | * Molecular dynamics | ||

+ | * Quantum chemistry | ||

+ | * CFD | ||

* Traffic | * Traffic | ||

* Computational Finance | * Computational Finance | ||

− | |||

− | |||

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

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

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

+ | == Quantum Computing and Computational Physics == | ||

+ | https://www5.in.tum.de/~quanTUMcomputing/ | ||

[[Category:Research]] | [[Category:Research]] |

## Latest revision as of 09:07, 9 October 2019

## 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