On the numerical solution of a functional differential equation pertaining to a wave equation

dc.contributor.author	Wall, David J. N.
dc.date.accessioned	2015-10-13T23:17:32Z
dc.date.available	2015-10-13T23:17:32Z
dc.date.issued	1990	en
dc.description.abstract	The numerical solution of the invariant imbedding equation, describing time domain, one dimensional direct scattering from a slab in which the material properties are spatially varying, is considered. It is proven that the equation discretised by the Trapezoidal rule has an asymptotic expansion for the global error involving only even powers of h. This expansion is utilised to generate a high order integration method by use of polynomial extrapolation. The method is suitable for adaptation to parallel computation, and by virtue of this together with its higher order integration, it constitutes a fast algorithm when compared with the current methods of solution of this equation.	en
dc.identifier.issn	0110-537X
dc.identifier.uri	http://hdl.handle.net/10092/11161
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	Field of Research::01 - Mathematical Sciences	en
dc.title	On the numerical solution of a functional differential equation pertaining to a wave equation	en
dc.type	Discussion / Working Papers
uc.bibnumber	341514	en
uc.college	Faculty of Engineering	en

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