# Difference between revisions of "Research Focus"

Jump to navigation
Jump to search

Line 33: | Line 33: | ||

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

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

+ | * Tensor network methods | ||

+ | * Quantum Monte Carlo | ||

+ | * Neural-network quantum states | ||

+ | * Quantum Boltzmann equations | ||

+ | * Quantum algorithms development | ||

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

## Revision as of 15:55, 20 September 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

## Quantum Computing and Computational Physics

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