In Edinburgh we focus on simulating star clusters by two methods which simultaneously deal with the dynamics and the stellar evolution.  The first method is referred to as the direct summation method, in which the gravitational forces are computed from Newton's law of gravity.  This is extremely time consuming, and we use special-purpose hardware (called GRAPE), which does nothing but compute gravitational forces, but does it with far greater efficiency than a general-purpose computer.  The second method is a Monte Carlo method, which treats the dynamics on the basis of the approximate (but accurate) theory of  relaxation.  Roughly speaking, what this means is that the star cluster is treated like a gas, in which the stars are the atoms.  This is a much faster method than direct summation, which is too slow to deal with globular star clusters. At Edinburgh we are applying these methods to study the origin of blue stragglers stars in the globular star cluster M4, and other clusters.