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dc.contributor.advisorDeLillo, Thomas K.
dc.contributor.authorKropf, Everetten_US
dc.date.accessioned2010-05-03T18:54:28Z
dc.date.available2010-05-03T18:54:28Z
dc.date.issued2009-05en_US
dc.identifier.othert09023en_US
dc.identifier.urihttp://hdl.handle.net/10057/2425
dc.descriptionThesis (M.S.)--Wichita State University, College of Liberal Arts and Sciences, Dept. of Mathematics and Statisticsen_US
dc.description.abstractA new Fornberg-like method is presented for computing conformal maps from the interior of the unit disk with m-1 circular holes to the interior of a smooth closed curve with m-1 holes bounded by smooth curves. The method is a Newton-like method for computing the boundary correspondences and the conformal moduli (centers and radii of the circles). The inner linear systems are derived from conditions for analytic extension of functions de ned on the circles to the interior domain. These systems are N-point trigonometric discretizations of the identity plus a compact operator and are solved efficiently with the conjugate gradient method at a cost of O(N²)per step. Two formulations of the map are given: the rst uses a disk with circular holes, and the second uses an annulus with circular holes. Some numerical examples are given.en_US
dc.format.extentvii, 55 p.en_US
dc.format.extent794047 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoen_USen_US
dc.publisherWichita State Universityen_US
dc.titleA Fornberg-like method for the numerical conformal mapping of bounded multiply connected domainsen_US
dc.typeThesisen_US


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