  Production of muons and neutrinos in cosmic ray interactions with the
atmosphere has been investigated with a cascade simulation program based on
Lund Monte Carlo programs. The resulting `conventional' muon and neutrino
fluxes (from $\pi ,K$ decays) agree well with earlier calculations, whereas the
improved charm particle treatment used in this study gives significantly lower
`prompt' fluxes compared to earlier estimates. This implies better prospects
for detecting very high energy neutrinos from cosmic sources.
