The numerical solution of the quantum Landau kinetic equation for a de
nse electron gas is considered. Being one of the most simple kinetic e
quations, it still retains essential physical features of a correlated
many-particle system, such as selfconsistent static screening and Pau
li blocking, and, at the same time, it is a good test case for the eff
iciency of numerical methods. Two schemes for the evaluation of the sc
attering rates and the collision integral are discussed. To illustrate
our results, we present time-dependent calculations i) for the relaxa
tion of a nonequilibrium electron distribution function and ii) for th
e stopping of fast electrons.