Pp. Delsanto et al., A RENORMALIZATION-GROUP APPROACH TO THE SIMULATION OF DIFFUSION-PROCESSES BY PARALLEL COMPUTERS, Mathematical and computer modelling, 19(9), 1994, pp. 1-8
A space scaling procedure is proposed for the treatment of diffusion p
roblems in large lattices. In conjunction with a previously proposed t
ime scaling procedure, space scaling yields a renormalization group te
chnique, which can reduce by an almost arbitrarily large factor both t
he computer time and the number of lattice sites for a diffusion probl
em with or without drift. Several numerical examples demonstrate the e
fficiency and reliability of the method.