The mixing-length theory for the convection, as it is used in the ATLA
S9 code (Kurucz, 1993a), is summarized and discussed. We investigated
the effect of the modification called ''approximate overshooting'' on
the model structure of the Sun and of stars with T-eff included betwee
n 4000 K and 8500 K, log g included between 2.5 and 4.5, and metallici
ties [M/H] = 0.0 and [M/H] = -3.0. We found that the Kurucz solar mode
l (SUNK94) with the ''overshooting'' option switched on reproduces mor
e observations than that without ''overshooting''. In the H-gamma, and
H-beta regions no solar model is able to reproduce the level of the t
rue continuum deduced from high-resolution observations absolutely cal
ibrated. At 486 nm the computed continuum is about 6.6% higher than th
at inferred from the observed spectrum. We found that the largest effe
ct of the ''approximate overshooting'' on the model structure occurs f
or models with T-eff > 6250 K and it decreases with decreasing gravity
. The differences in (b - y), (B - V), and (V - K) indices computed fr
om models with the ''overshooting'' option switched on and off, corres
pond to T-eff differences which may amount up to 180 K, 100 K, 60 K re
spectively. The differences in T-eff from Balmer profiles may amount u
p to 340 K and they occur also for T-eff < 6250 K down to about 5000 K
. The c(1) index yields gravity . differences Delta log g as a functio
n of log g which, for each T-eff, grow to a maximum value. The maximum
a log g decreases with increasing temperatures and ranges, for solar
metallicity, from 0.7 dex at log g = 0.5 and T-eff = 5500 K to 0.2 dex
at log g = 4.5 and T-eff = 8000 K. This behaviour does not change for
[M/H] = -3.0. Comparisons with the observations indicate that model p
arameters derived with different methods are more consistent when the
''overshooting'' option is switched off (NOVER models), except for the
Sun. In particular for Procyon, T-eff and log g from NOVER models are
closer to the parameters derived from model independent methods than
are T-eff and log g derived from the Kurucz (1995) grids. However, no
model is able to explain the whole observed spectrum of either the Sun
or Procyon with a unique T-eff, regardless of whether the ''overshoot
ing'' option is switched on or off. Independently of the convection op
tion, the largest differences in T-eff derived with different methods
are of the order of 200 K for Procyon and 150 K for the Sun.