The stability of a plane, premixed flame is re-examined for finite activati
on energies. This stability problem must be solved numerically; however, th
e calculations are performed in the spirit of the infinite activation energ
y theory. Numerical difficulties in determining the steady solution for bot
h adiabatic and non-adiabatic flames are identified and resolved. The stabi
lity equations are served using the compound matrix method. The theory and
calculations presented resolve all discrepancies between the infinite activ
ation energy results and numerical calculations reported previously.