  Neutrino telescopes are moving steadily toward the goal of detecting
astrophysical neutrinos from the most powerful galactic and extragalactic
sources. Here we describe analysis methods to search for high energy point-like
neutrino sources using detectors deep in the ice or sea. We simulate an ideal
cubic kilometer detector based on real world performance of existing detectors
such as AMANDA, IceCube, and ANTARES. An unbinned likelihood ratio method is
applied, making use of the point spread function and energy distribution of
simulated neutrino signal events to separate them from the background of
atmospheric neutrinos produced by cosmic ray showers. The unbinned point source
analyses are shown to perform better than binned searches and, depending on the
source spectral index, the use of energy information is shown to improve
discovery potential by almost a factor of two.
