Electron tunneling through mesoscopic metallic grains can be treated p
erturbatively only under the conduction that the tunnel junction condu
ctances are sufficiently small. If that is not the case, fluctuations
of the grain charge become strong. As a result (i) the contributions o
f all-including high energy-charge states become important, and (ii) t
he excited charge states become broadened and essentially overlap. At
the same time, the grain charge remains discrete and the system conduc
tance e-periodically depends on the gate charge. We develop a non-pert
urbative approach which accounts for all these features and calculate
the temperature-dependent conductance of the system in the strong tunn
eling regime at different values of the gate charge. (C) 1996 American
Institute of Physics.