A large-acceptance beam-deceleration module for retrofitting into ion-source beam lines Rev. Sci. Instrum. 84, 033305 (2013) Key elements of space charge compensation on a low energy high intensity beam injector Rev. Sci. Instrum. 84, 033304 (2013) Performance of an inverted ion source Rev. Sci. Instrum. 84, 023506 (2013) Physics of a magnetic filter for negative ion sources. II. E×B drift through the filter in a real geometry Phys. Plasmas 19, 113510 (2012) Improved charge breeding efficiency of light ions with an electron cyclotron resonance ion source Rev. Sci. Instrum. 83, 113303 (2012) Additional information on AIP Conf. Proc. Abstract. In the HITRAP facility at GSI it is planned to store 10 5 highly charged ions up to U 92+ in a cryogenic Penning trap and cool them down to 4 K via electron and resistive cooling. During the cooling process the ion density increases and the characteristics of the ion cloud are increasingly determined by Coulomb interactions. We present a parallel algorithm for the simulation of the resistive cooling for ion clouds in cylindrical Penning traps. For the simulation of the resistive cooling we run an OpenCl code on a single GPU device.