Pseudoparticle Approach. - Functional Renormalization Group (FunRG). - Projection Operator Method. - Composite Operator Method (COM). - LDA+GTB method. - Dynamical Mean-Field Theory (DMFT). - Cluster Perturbation Theory (CPT). - Self-Energy-Functional Theory (SFA). - Cluster Dynamical Mean Field Theory (CDMFT). - Dynamical Cluster Approximation (DCA). - Density Functional Theory (DFT). - Gutzwiller, Slave Boson and RVB. - Two-Particle-Self-Consistent...