Numerical simulations have become an important tool to understand and
predict nonperturbative phenomena in particle physics. In this article
we attempt to present a general overview over the field. First, the b
asic concepts of lattice gauge theories are described, including a dis
cussion of currently used algorithms and the reconstruction of continu
um physics from lattice data. We then proceed to present some results
for QCD, both at low energies and at high temperatures, as well as for
the electro-weak sector of the standard model.