  A principally novel approach towards solving the few-particle
(many-dimensional) quantum scattering problems is described. The approach is
based on a complete discretization of few-particle continuum and usage of
massively parallel computations of integral kernels for scattering equations by
means of GPU. The discretization for continuous spectrum of a few-particle
Hamiltonian is realized with a projection of all scattering operators and wave
functions onto the stationary wave-packet basis. Such projection procedure
leads to a replacement of singular multidimensional integral equations with
linear matrix ones having finite matrix elements. Different aspects of the
employment of a multithread GPU computing for fast calculation of the matrix
kernel of the equation are studied in detail. As a result, the fully realistic
three-body scattering problem above the break-up threshold is solved on an
ordinary desktop PC with GPU for a rather small computational time.
