A toolbox of equation-free functions in Matlab/Octave for efficient system level simulation
Date
2021
Authors
Maclean, J.
Bunder, J.E.
Roberts, A.J.
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Journal article
Citation
Numerical Algorithms, 2021; 87(4):1729-1748
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John Maclean, J. E. Bunder and A. J. Roberts
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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.
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Published online: 30 October 2020
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© 2020, Springer Science Business Media, LLC, part of Springer Nature