  The Faddeev equation for three-body scattering at arbitrary energies is
formulated in momentum space and directly solved in terms of momentum vectors
without employing a partial wave decomposition. In its simplest form the
Faddeev equation for identical bosons, which we are using, is a
three-dimensional integral equation in five variables, magnitudes of relative
momenta and angles. This equation is solved through Pade summation. Based on a
Malfliet-Tjon-type potential, the numerical feasibility and stability of the
algorithm for solving the Faddeev equation is demonstrated. Special attention
is given to the selection of independent variables and the treatment of
three-body break-up singularities with a spline based method. The elastic
differential cross section, semi-exclusive d(N,N') cross sections and total
cross sections of both elastic and breakup processes in the intermediate energy
range up to about 1 GeV are calculated and the convergence of the multiple
scattering series is investigated in every case. In general a truncation in the
first or second order in the two-body t-matrix is quite insufficient.
