From the Abstract: "...computational science 'is no more about computers than astronomy is about telescopes.'"
So when they say 'Computational' Neuroscience, they're not particularly referring to using computers, but analyzing neurological systems using computational analytical techniques.
A salient difference from astronomy is that computational neuroscience is typically concerned with describing neural systems in terms of information processing. Our principle technological example of an information processing system is the computer. So while there's a distinction between "computational" as (a) a tool used for analysis, (b) a methodology or model employed to describe a system, and (c) an statement about a property of the system under study, computational neuroscience refers to at least both ab and often abc. This isn't the case with astronomy, because we aren't typically using telescopes to study how stars bend and collect light like telescopes (although we of course sometimes do).
So when they say 'Computational' Neuroscience, they're not particularly referring to using computers, but analyzing neurological systems using computational analytical techniques.