Archivio Istituzionale della RicercaA 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.
A renormalization group approach to the simulation of diffusion processes by parallel computers / Delsanto, PIER PAOLO; Kaniadakis, Giorgio; Scalerandi, Marco; D., Iordache. - In: MATHEMATICAL AND COMPUTER MODELLING. - ISSN 0895-7177. - 19:9(1994), pp. 1-8. [10.1016/0895-7177(94)90035-3]
A renormalization group approach to the simulation of diffusion processes by parallel computers
DELSANTO, PIER PAOLO;KANIADAKIS, Giorgio;SCALERANDI, MARCO;
1994
Abstract
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.
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https://hdl.handle.net/11583/1405549
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