  The recently developed energy-scale-dependent Composite Operator Method is
applied to the single-impurity Anderson model. A fully self-consistent solution
is given and analyzed. At very low temperatures, the density of states
presents, on the top of the high-energy background, a Kondo-like peak whose
parameter dependence is discussed in detail. The proposed method reproduces the
exact results known in the literature with very low numerical effort and it is
applicable for arbitrary values of the external parameters.
