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In the talk, we discuss a new purely discrete way in treatment of few-body scattering. The way includes a few key steps which being taken together leads to tremendous facilitation and acceleration for all few-body calculations. In their turn, this crucial improvement of all scattering calculations makes it possible to solve now such highly uneasy problems which are completely beyond of ability of the conventional approaches. For this purpose, we transform the conventional scattering integral equations into fully dis- crete matrix form with regular matrix elements using the lattice-like basis in momentum space. Then we solve the resulted few-body matrix equations using an ultra-fast graphical processor unit (GPU-computing). Such GPU calculations for our new lattice form of scat- tering equations take only a few minutes of PC computing time to calculate both elastic and inelastic scattering and also three-nucleon breakup with fully realistic NN-potentials.