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# A Fornberg-like method for the numerical conformal mapping of bounded multiply connected domains

## SOAR Repository

 dc.contributor.advisor DeLillo, Thomas K. dc.contributor.author Kropf, Everett dc.date.accessioned 2010-09-23T14:32:28Z dc.date.available 2010-09-23T14:32:28Z dc.date.issued 2010-04-23 dc.identifier.citation Kropf, Everett (2010). A Fornberg-like method for the numerical conformal mapping of bounded multiply connected domains. -- In Proceedings: 6th Annual Symposium: Graduate Research and Scholarly Projects. Wichita, KS: Wichita State University, p. 43-44 en dc.identifier.uri http://hdl.handle.net/10057/3171 dc.description Paper presented to the 6th Annual Symposium on Graduate Research and Scholarly Projects (GRASP) held at the Hughes Metropolitan Complex, Wichita State University, April 23, 2010. en dc.description Research completed at the Department of Mathematics & Statistics, College of Liberal Arts and Sciences en dc.description.abstract A 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 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 defined 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. en dc.format.extent 64804 bytes dc.format.extent 1843 bytes dc.format.mimetype application/pdf dc.format.mimetype text/plain dc.language.iso en_US en dc.publisher Wichita State University. Graduate School en dc.relation.ispartofseries GRASP en dc.relation.ispartofseries v.6 en dc.title A Fornberg-like method for the numerical conformal mapping of bounded multiply connected domains en dc.type Conference paper en