  The head-on collision of two nonrotating axisymmetric equal mass black holes
is treated numerically. We take as initial data the single parameter family of
time-symmetric solutions discovered by Misner which consists of two
Einstein-Rosen bridges that can be placed arbitrarily distant from one another.
A number of problems associated with previous attempts to evolve these data
sets have been overcome. In this article, we discuss our choices for coordinate
systems, gauges, and the numerical algorithms that we have developed to evolve
this system.
