We present in this work a newly developed time-dependent 3D multigroup discrete ordinates neutron transport solver to obtain accurate solutions to the kinetic neutron transport equation on reactor cores. The implemented module has been included in a code called MINARET, which is developed at CEA in the framework of the APOLLO3 project. Given that the main obstacle in the use of this type of accurate solver relies in the long computational times that the resolution requires, the MINARET solver has been used in the present work as a support for a study about sequential and parallel acceleration techniques. A particular focus will be given to the parallel acceleration techniques, where we will present results about the parallelization of two of the variables involved in our equation: the angular directions and the time. This last variable has been parallelized by a (time) domain decomposition method called the parareal in time algorithm.