This manuscript presents the work done with the Discrete Slip-Link model (DSM) and efforts to improve it through new theoretical derivations... Show moreThis manuscript presents the work done with the Discrete Slip-Link model (DSM) and efforts to improve it through new theoretical derivations and computational algorithms. New results are presented for melts of broadly polydisperse linear chains as well as for monodisperse star-branched chains. Significant portion of this work is dedicated to the development of the new method for coarse-graining physical models and application of it to the problem of mechanical relaxation of star-branched polymers in DSM. Show less