Using the CUDA programming environment for modeling the ions beam line injection taking into account the space charge

The simulation was made of the injection line beam in a synchrotron for the JINR VBLHEP project 'Development and Creation of the Prototype of a Complex for Radiotherapy on Heavy Ion Beams at the Nuclotron-M'. Parameters were selected for the injection beams transport line into a synchrotron with intensities of 25 to 100 mA taking into account the space charge effect. The simulation was performed using the method of macroparticles (PIC). In order to accelerate the computational process, an approach was used to massively parallel computing on graphics processors (GPU), using the technology CUDA. A 66 times accelerating of computing process has been obtained for Tesla at 2.4 GHz