"This presentation will focus on discussing classical and novel methods for analyzing many-body systems. The principal scientific question driving the usage of these methods is the calculation of the energy in 1-Dimensional Heisenberg spin rings, specifically in the ferromagnetic case. Our current MATLAB/Python scripts for this task take a week of computation time and 500 GB of RAM on the University of Alabama at Birmingham Cheaha Supercomputing cluster when calculating the energy of a system up to 20 sites. We aim to improve this by converting our code-base to C++ using the Armadillo linear algebra package, and then also multiprocess our code, in particular our Lancsoz step which is historically highly parallelizable. Other methods we are exploring are Quantum Monte Carlo, matrix decomposition for the sparse Hamiltonians, and limited machine learning through Restricted Boltzmann Machines."