  A multi-TeraFlop/TeraByte machine will enable the application of the Einstein
theory of gravity to realistic astrophysical processes. Without the
computational power, the complexity of the Einstein theory restricts most
studies based on it to the quasi static/linear near-Newtonian regime of the
theory.
  The application of the Einstein theory to realistic astrophysical processes
is bound to bring deep and far-reaching scientific discoveries, and produce
results that will inspire the general public. It is an essential component in
developing the new frontier of gravitational wave astronomy - an exciting new
window to observe our universe.
  The computational requirements of carrying out numerical simulations based on
the Einstein theory is discussed with an explicit example, the coalescence of a
neutron star binary.
  This document is prepared for presentation at the National Computational
Science Alliance User Advisory Council Meeting at NSF, June 1998, in support of
the funding of a NSF TeraFlop computer.
