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Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/71981
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dc.contributor.authorBunder, J.-
dc.contributor.authorRoberts, A.-
dc.date.issued2012-
dc.identifier.citationAustralia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 2012, vol.53, iss.SUPPL, pp.280-295-
dc.identifier.issn1446-8735-
dc.identifier.issn1446-8735-
dc.identifier.urihttp://hdl.handle.net/2440/71981-
dc.descriptionProceedings of the 10th Biennial Engineering Mathematics and Applications Conference (EMAC2011) held at University Technology Sydney in December 2011-
dc.description.abstractWe discuss efficient macroscale modelling of microscale systems using patch dynamics. This pilot study effectively homogenises microscale varying diffusion in one dimension. The `equation free' approach requires that the microscale model be solved only on small spatial patches. Suitable boundary conditions ensure that these patches are well coupled. By centre manifold theory, an emergent closed model exists on the macroscale. Patch dynamics systematically approximates this macroscale model. The modelling is readily adaptable to higher dimensions and to reaction-diffusion equations.-
dc.language.isoen-
dc.publisherCambridge University Press-
dc.rights© Austral. Mathematical Soc. 2012.-
dc.source.urihttp://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/5074-
dc.subjectmultiscale modelling-
dc.subjectpatch dynamics-
dc.subjectcoupled boundary conditions-
dc.subjectdifference equations-
dc.titlePatch dynamics for macroscale modelling in one dimension-
dc.typeConference paper-
dc.contributor.departmentFaculty of Engineering, Computer & Mathematical Sciences-
dc.contributor.conferenceEngineering Mathematics and Applications Conference (4 Dec 2011 - 7 Dec 2011 : Australia)-
dc.identifier.doi10.21914/anziamj.v53i0.5074-
pubs.publication-statusPublished-
dc.identifier.orcidBunder, J. [0000-0001-5355-2288]-
dc.identifier.orcidRoberts, A. [0000-0001-8930-1552]-
Appears in Collections:Applied Mathematics publications
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