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dc.contributor.authorPitts, George G.en_US
dc.contributor.authorRibbens, Calvin J.en_US
dc.date.accessioned2013-06-19T14:36:22Z
dc.date.available2013-06-19T14:36:22Z
dc.date.issued1993
dc.identifierhttp://eprints.cs.vt.edu/archive/00000343/en_US
dc.identifier.urihttp://hdl.handle.net/10919/19841
dc.description.abstractThis paper describes a method for discretizing general linear two dimensional elliptical PDEs with variable coefficients, Lu=g, which achieves high orders of accuracy on an extended range of problems. The method can be viewed as an extension of the ELLPACK6 discretization module HODIE ("High Order Difference Approximation with Identity Expansion"), which achieves high orders of accuracy on a more limited class of problems. We thus call this method HODIEX. An advantage of HODIEX methods, including the one described here, is that they are based on a compact 9-point stencil which yields linear systems with a smaller bandwidth than if a larger stencil were used to achieve higher accuracy.en_US
dc.format.mimetypeapplication/pdfen_US
dc.publisherDepartment of Computer Science, Virginia Polytechnic Institute & State Universityen_US
dc.relation.ispartofHistorical Collection(Till Dec 2001)en_US
dc.titleHodiex: A Sixth Order Accurate Method for Solving Elliptical PDEsen_US
dc.typeTechnical reporten_US
dc.identifier.trnumberTR-93-01en_US
dc.type.dcmitypeTexten_US
dc.identifier.sourceurlhttp://eprints.cs.vt.edu/archive/00000343/01/TR-93-01.pdf


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