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

✍ Scribed by P.P. Delsanto; G. Kaniadakis; M. Scalerandi; D. Iordache

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 674 KB
• Volume: 19
• Category: Article
• ISSN: 0895-7177
• DOI: 10.1016/0895-7177(94)90035-3

✦ Synopsis

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.