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Avtometriya

2003 year, number 3

Using the residue number system arithmetic for simulation of diffusion

V.P.Markova
Novosibirsk
Pages: 52–61

Abstract

Computational potentialities of the residue number system for simulation of a 1D diffusion process is investigated. The conventional finite-difference diffusion representation is modified in terms of the residue number system (RNS). Numerical simulation of the diffusion process was performed. The computational characteristics (stability, accuracy, and time complexity) are assessed and compared with similar ones obtained by the explicit method solution of partial differential equations.