In this thesis, the development of a fast effective simulation for the planned PINGU experiment at the geographic South Pole is described, which will make a precision measurement of the atmospheric neutrino flux at low GeV energies. In this flux, the effects of neutrino oscillations in the matter potential of the Earth are visible, which will be observed by PINGU with unprecedented precision. Using the aforementioned simulation, PINGU’s expected precision in determining the relevant neutrino oscillation parameters and the neutrino mass hierarchy is calculated, incorporating a variety of parameters covering systematic uncertainties in the experimental outcome. The analysis is done in the framework of the Fisher Matrix technique, whose application to a particle physics experiment is novel. It allows for a fast and stable evaluation of the multi-dimensional parameter space and an easy combination of different experiments
