Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/117368
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Type: | Journal article |
Title: | On convergence of the projective integration method for stiff ordinary differential equations |
Author: | Maclean, J. Gottwald, G. |
Citation: | Communications in Mathematical Sciences, 2014; 12(2):235-255 |
Publisher: | International Press |
Issue Date: | 2014 |
ISSN: | 1539-6746 1945-0796 |
Statement of Responsibility: | John MacLean and Georg A. Gottwald |
Abstract: | We present a convergence proof of the projective integration method for a class of deterministic multi-dimensional multi-scale systems which are amenable to centre manifold theory. The error is shown to contain contributions associated with the numerical accuracy of the microsolver, the numerical accuracy of the macrosolver and the distance from the centre manifold caused by the combined effect of micro- and macrosolvers, respectively. We corroborate our results by numerical simulations. |
Keywords: | Multi-scale integrators; projective integration; heterogeneous multiscale methods |
Rights: | © 2014 International Press |
DOI: | 10.4310/CMS.2014.v12.n2.a2 |
Grant ID: | ARC |
Published version: | http://dx.doi.org/10.4310/cms.2014.v12.n2.a2 |
Appears in Collections: | Aurora harvest 8 Mathematical Sciences publications |
Files in This Item:
File | Description | Size | Format | |
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hdl_117368.pdf | Accepted version | 242.89 kB | Adobe PDF | View/Open |
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