Invariant imbedding and hyperbolic heat waves

dc.contributor.author	Wall, David J. N.
dc.contributor.author	Olsson, Peter
dc.date.accessioned	2015-08-18T00:27:27Z
dc.date.available	2015-08-18T00:27:27Z
dc.date.issued	1996	en
dc.description.abstract	This paper builds up a general wave splitting and imbedding theory for solution of both direct and inverse problems associated with thermal processes. It is done by using a full representation of the thermal phenomenon by virtue of Cattaneo's law. This law by ensuring finite thermal propagation speeds, enables an imbedding equation to layer strip the medium; so allowing the solution to the inverse problem of determination of a spatially varying diffusivity. Theoretical results and numerical algorithms are developed and numerical experiments are used to illustrate the effectiveness of the latter.	en
dc.identifier.uri	http://hdl.handle.net/10092/10784
dc.language.iso	en
dc.publisher	University of Canterbury. Dept. of Mathematics	en
dc.relation.isreferencedby	NZCU	en
dc.rights	Copyright David J. N. Wall	en
dc.rights.uri	https://canterbury.libguides.com/rights/theses	en
dc.subject.anzsrc	Fields of Research::51 - Physical sciences::5103 - Classical physics::510304 - Thermodynamics and statistical physics	en
dc.title	Invariant imbedding and hyperbolic heat waves	en
thesis.degree.grantor	University of Canterbury	en
thesis.degree.level	Research Report	en
thesis.degree.name	Research Report	en
uc.bibnumber	547174	en
uc.college	Faculty of Engineering	en

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