Computational three-dimensional space charge (3DSC) and wake field force algorithms were developed and implemented into the ORBIT computer code to simulate the dynamics of present and planned high intensity rings, such as PSR, Fermilab Booster, AGS Booster, Spallation Neutron Source (SNS), and proton driver. To provide affordable simulation times, the 3DSC algorithm developed for ORBIT has been parallelized and implemented as a separate module into the UAL 1.0 library, which supports a parallel environment based on MPI. The details of these algorithms and their parallel implementation are presented, and results demonstrating the scaling with problem size and number of processors are discussed.