### Lattice QCD Calculations

**Andreas Frommer**

Bergische Universität-Gesamthochschule Wuppertal

Lattice QCD simulates the strong interaction bewtween quarks as constituents
of matter. These simulations require a huge amount of computation and are typically
done on massively parallel computers. Different physical models yield different
numerical challenges. Important common features are the underlying nearest neighbour
coupling on a large 4-dimensional lattice, and the fact that coupling coefficients
are produced stochastically. The talk will give an overview on how techniques
from numerical linear algebra have helped to improve lattice QCD simulations
in the last ten years and will highlight the challenges on the road to PetaFlop/s
simulations which are expected to take place by the end of this decade.

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