Kinetic Monte-Carlo (KMC) is a stochastic method that can be used
to simulate crystal growth and evolution on atomistic
length-scales. I will begin by reviewing algorithms for the
efficient simulation of lattice based models. Then I will discuss
coupling KMC simulations with both larger scale continuum models
and with smaller scale molecular dynamics simulations. If time
permits, I will finish with a discussion of some approaches to
including elastic effects in off-lattice simulations.