  Nelkin scaling, the scaling of moments of velocity gradients in terms of the
Reynolds number, is an alternative way of obtaining inertial-range information.
It is shown numerically and theoretically for the Burgers equation that this
procedure works already for Reynolds numbers of the order of 100 (or even lower
when combined with a suitable extended self-similarity technique). At moderate
Reynolds numbers, for the accurate determination of scaling exponents, it is
crucial to use higher than double precision. Similar issues are likely to arise
for three-dimensional Navier--Stokes simulations.
