Time scaling in the parallel processing simulation of diffusion processes
type: Item
instance of: scholarly article
title: Time scaling in the parallel processing simulation of diffusion processes
zbMATH Open document ID: 0801.65077
DOI: 10.1016/0898-1221(94)90110-4
author: V. Pereyra
publication date: 1994-12-04T00:00:00Z
review text: The paper deals with a one-dimensional convection-diffusion equation \(\partial p/ \partial t = \partial [D \partial p/ \partial x]/ \partial x + J \partial p/ \partial x\) where the diffusion coefficient \(D\) and the drift coefficient \(J\) are constant, which enables a time scaling to reduce (by several orders) a large number of times steps usually required within numerical simulation. This allows to treat complex diffusion problems in very large lattices or complex media. The presented, local interaction simulation approach is based on a parallel processing. The efficiency is illustrated by several numerical examples.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65Y05
Mathematics Subject Classification ID: 35K15
zbMATH DE Number: 579960
zbMATH Keywords: convection-diffusion equation
zbMATH Keywords: time scaling
zbMATH Keywords: parallel processing
zbMATH Keywords: numerical examples
reviewed by: Tomáş Roubíçek
MaRDI profile type: Publication
full work available at URL: 0898-1221(94)90110-4
OpenAlex ID: W2052903802
cites work: Q5731217
cites work: A local interaction simulation approach to the solution of diffusion problems
cites work: Stochastic Problems in Physics and Astronomy
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 579960