Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/129835
Citations | ||
Scopus | Web of Science® | Altmetric |
---|---|---|
?
|
?
|
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 |
Appears in Collections: | Aurora harvest 4 Physics publications |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.