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| dc.contributor.advisor | DeLillo, Thomas K. | |
| dc.contributor.author | Kropf, Everett | |
| dc.date.accessioned | 2012-11-14T22:23:24Z | |
| dc.date.available | 2012-11-14T22:23:24Z | |
| dc.date.copyright | 2012 | |
| dc.date.issued | 2012-05 | |
| dc.identifier.other | d12012 | |
| dc.identifier.uri | http://hdl.handle.net/10057/5361 | |
| dc.description | Thesis (Ph.D.)--Wichita State University, College of Liberal Arts and Sciences, Dept. of Mathematics, Statistics and Physics | en_US |
| dc.description.abstract | Two methods for the numerical conformal mapping of domains with m < ∞ separated circular holes to domains with m polygonal holes are presented; bounded and unbounded domains are both considered. The methods are based on extensions of the classical Schwarz- Christo el transformation to nitely connected domains. The rst method uses a truncated in nite product expressed in terms of re ections through circles, and is found to have a computational time which increases geometrically with the number of levels of re ection used. The second method uses the boundary behavior of the map to construct a linear system which gives the coe cients of a Laurent series expansion for the map. The second method has a computational time which is polynomial with the number of terms of the truncated series. Both methods require the solution of a non-linear system of equations which gives the correct parameters for the desired map. The solution to the non-linear system is achieved by a numerical continuation (homotopy) method. An application is given. Maps from the circle domains to the canonical slit domains are also computed using similar techniques. | en_US |
| dc.format.extent | x, 102 p. | en |
| dc.language.iso | en_US | en_US |
| dc.publisher | Wichita State University | en_US |
| dc.rights | Copyright Everett Kropf, 2012. All rights reserved | en |
| dc.subject.lcsh | Electronic dissertations | en |
| dc.title | Numerical computation of Schwarz-Christoffel transformations and slit maps for multiply connected domains | en_US |
| dc.type | Dissertation |
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MATH Theses and Dissertations [27]
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LAS Theses and Dissertations [379]
Theses and dissertations completed at the College of Liberal Arts and Sciences (Fall 2005 -) -
Dissertations [245]
This collection includes Ph.D. dissertations completed at the Wichita State University Graduate School.