Research Focus: Difference between revisions

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= Topics =
= 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 09:14, 22 July 2008

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