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A two-weight scheme for a time-dependent advection-diffusion problem

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dc.contributor.author Chadha, Naresh M.
dc.contributor.author Madden, Niall
dc.date.accessioned 2012-04-23T21:33:25Z
dc.date.available 2012-04-23T21:33:25Z
dc.date.issued 2011
dc.identifier.citation Naresh M. Chadha and Niall Madden (2011) 'A two-weight scheme for a time-dependent advection-diffusion problem'. Lecture Notes In Computational Science And Engineering, 85 :99-108. en_US
dc.identifier.uri http://www.springerlink.com/content/978-3-642-19665-2#section=894582&page=7&locus=57
dc.identifier.uri http://hdl.handle.net/10379/2688
dc.description.abstract We consider a family of two-weight finite difference schemes for a time-dependent advection-diffusion problem. For a given uniform grid-spacing in time and space, and for a fixed value of advection and diffusion parameters, we demonstrate how to optimally choose these weights by means of the notion of an equivalent differential equation. We also provide a geometric interpretation of the weights. We present numerical results that demonstrate that the approach is superior to other commonly used methods that also fit into the framework of a two-weight scheme. en_US
dc.format application/pdf en_US
dc.language.iso en en_US
dc.relation.ispartof Lecture Notes In Computational Science And Engineering en
dc.subject finite difference en_US
dc.subject advection diffusion en_US
dc.title A two-weight scheme for a time-dependent advection-diffusion problem en_US
dc.type Article en_US
dc.date.updated 2012-04-23T13:06:37Z
dc.local.publishedsource http://dx.doi.org/10.1007/978-3-642-19665-2_11 en_US
dc.description.peer-reviewed peer-reviewed
dc.contributor.funder |~|SFI|~|
dc.internal.rssid 1330200
dc.local.contact Niall Madden, School Of Mathematics Statistics, & Applied Mathematics, Room 213, Aras Na Brun, Nui Galway. 3803 Email: niall.madden@nuigalway.ie
dc.local.copyrightchecked Yes
dc.local.version ACCEPTED

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