A renormalization group approach to the simulation of diffusion processes by parallel computers

摘要

A space scaling procedure is proposed for the treatment of diffusion problems in large lattices. In conjunction with a previously proposed time scaling procedure, space scaling yields a renormalization group technique, which can reduce by an almost arbitrarily large factor both the computer time and the number of lattice sites for a diffusion problem with or without drift. Several numerical examples demonstrate the efficiency and reliability of the method.