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dc.contributor.advisorBialecki, Bernard
dc.contributor.authorWright, Lyndsey
dc.date.accessioned2007-01-03T06:00:08Z
dc.date.accessioned2022-02-09T08:51:43Z
dc.date.available2014-12-01T04:18:44Z
dc.date.available2022-02-09T08:51:43Z
dc.date.issued2013
dc.identifierT 7378
dc.identifier.urihttps://hdl.handle.net/11124/12196
dc.description2013 Fall.
dc.descriptionIncludes bibliographical references (pages 30-31).
dc.description.abstractWe solve Poisson's Equation on the unit disc in polar coordinates using a fourth-order finite difference method. We use a half-point shift in the r direction, in order to avoid approximating the solution at r = 0. We derive a new fourth-order accurate finite difference method from analysis of the truncation error of the well-known second-order scheme. The resulting linear system is solved very efficiently (with cost almost proportional to the number of unknowns) using a combination of a Matrix Diagonalization Algorithm and Fast Fourier Transforms.
dc.format.mediumborn digital
dc.format.mediummasters theses
dc.languageEnglish
dc.language.isoeng
dc.publisherColorado School of Mines. Arthur Lakes Library
dc.relation.ispartof2010-2019 - Mines Theses & Dissertations
dc.rightsCopyright of the original work is retained by the author.
dc.subjectPoisson's equation
dc.subjectpolar coordinates
dc.subjectfourth-order
dc.subject.lcshPoisson's equation
dc.subject.lcshFinite differences
dc.subject.lcshCoordinates, Polar
dc.subject.lcshMatrices
dc.subject.lcshLinear systems
dc.subject.lcshFourier transformations
dc.titleFourth-order finite difference scheme for Poisson's equation in polar coordinates on the unit disc, A
dc.typeText
dc.contributor.committeememberGanesh, Mahadevan
dc.contributor.committeememberCollis, Jon M.
dcterms.embargo.terms2014-12-01
dcterms.embargo.expires2014-12-01
thesis.degree.nameMaster of Science (M.S.)
thesis.degree.levelMasters
thesis.degree.disciplineApplied Mathematics and Statistics
thesis.degree.grantorColorado School of Mines
dc.rights.access1-year embargo


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