# Difference between revisions of "Research Focus"

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

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

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

* Grid Computing | * Grid Computing | ||

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+ | == Uncertainty Quantification == | ||

+ | * Stochastic Collocation / gPC Methods for different simulation applications | ||

+ | * Sparse Grids in Uncertainty Quantification | ||

== Computational Fluid Dynamics == | == Computational Fluid Dynamics == | ||

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== Fields of Application in Simulation == | == Fields of Application in Simulation == | ||

+ | * Molecular dynamics | ||

+ | * Quantum chemistry | ||

+ | * CFD | ||

* Traffic | * Traffic | ||

* Computational Finance | * Computational Finance | ||

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== Integration of Simulation Tasks == | == Integration of Simulation Tasks == | ||

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

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

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

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[[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