In this  AFOSR sponsored MURI project (Grant # FA9550-18-1-0095, Program Manager: Dr. Jean-Luc Cambier), we advance the computational methods of chemistry, physics, and materials science along two fronts (i) to confidently treat the quantum many-body physics of systems with strong electronic correlations, and (ii) to carry out fast simulations of non-periodic materials with structural complexity across hundreds of thousands of atoms.