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This book presents two novel parallel techniques employed for the study of both classical and disordered spin models. The first technique is a new parallel multi-core and multi-CPU algorithm for the computation of the partition function of a strip lattice in the Potts model. The second technique is an adaptive parallel GPU exchange Monte Carlo algorithm for the simulation of 3D lattices in the random field Ising model. Both techniques can provide substantial speedup over the state of the art methods available and contribute to the research and understanding of such fascinating interaction models.