Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/129835
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Type: Journal article
Title: A toolbox of equation-free functions in Matlab/Octave for efficient system level simulation
Author: Maclean, J.
Bunder, J.E.
Roberts, A.J.
Citation: Numerical Algorithms, 2021; 87(4):1729-1748
Publisher: Springer
Issue Date: 2021
ISSN: 1017-1398
1572-9265
Statement of
Responsibility: 
John Maclean, J. E. Bunder and A. J. Roberts
Abstract: The ‘equation-free toolbox’ empowers the computer-assisted analysis of complex, multiscale systems. Its aim is to enable scientists and engineers to immediately use microscopic simulators to perform macro-scale system level tasks and analysis, because micro-scale simulations are often the best available description of a system. The methodology bypasses the derivation of macroscopic evolution equations by computing the micro-scale simulator only over short bursts in time on small patches in space, with bursts and patches well-separated in time and space respectively. We introduce the suite of coded equation-free functions in an accessible way, link to more detailed descriptions, discuss their mathematical support, and introduce a novel and efficient algorithm for Projective Integration. Some facets of toolbox development of equation-free functions are then detailed. Download the toolbox functions and use to empower efficient and accurate simulation in a wide range of science and engineering problems.
Keywords: Multiscale methods; code toolbox; numerical algorithms
Description: Published online: 30 October 2020
Rights: © 2020, Springer Science Business Media, LLC, part of Springer Nature
DOI: 10.1007/s11075-020-01027-z
Grant ID: http://purl.org/au-research/grants/arc/DP180100050
http://purl.org/au-research/grants/arc/DP150102385
Published version: http://dx.doi.org/10.1007/s11075-020-01027-z
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Physics publications

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