In this paper we report on the results of a self-consistent calculation of CSR effects on a particle bunch moving through the benchmark Zeuthen bunch compressors. The theoretical framework is based on a 4D Vlasov-Maxwell approach including shielding from the vacuum chamber. We calculate the fields in the lab frame, where time is the independent variable, and evolve the phase space density/ points in the beam frame, where arc length, s, along a reference orbit, is the independent variable. Some details are given in, where we also discuss three approaches, the unperturbed source model (UPS), the self constistent Monte Carlo (SCMC) method and the method of local characteristics. Results for the UPS have been presented for 5 GeV before, here we compare them with our new results from the SCMC and study the 500MeV case. Our work using the method of characteristics is in progress.