  Classical fields approximation to cold weakly interacting bosons allows for a
unified treatment of condensed and uncondensed parts of the system. Until now,
however, the quantitative predictions were limited by a dependence of the
results on a grid chosen for numerical implementation of the method. In this
paper we propose replacing this unphysical ambiguity by an additional
postulate: the temperature of the gas at thermal equilibrium should be the same
as that of an ideal Bose gas with the same fraction of condensed atoms. As it
turns-out, with this additional assumption, nearly all atoms are within the
classical fields, thus the method applies to the whole system.
