• Login
    View Item 
    •   Shocker Open Access Repository Home
    • Graduate Student Research
    • GRASP: Graduate Research and Scholarly Projects
    • Proceedings 2010: 6th Annual Symposium: Graduate Research and Scholarly Projects
    • View Item
    •   Shocker Open Access Repository Home
    • Graduate Student Research
    • GRASP: Graduate Research and Scholarly Projects
    • Proceedings 2010: 6th Annual Symposium: Graduate Research and Scholarly Projects
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

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

    View/Open
    Article (63.28Kb)
    Date
    2010-04-23
    Author
    Kropf, Everett
    Advisor
    DeLillo, Thomas K.
    Metadata
    Show full item record
    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
    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.
    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.

    Research completed at the Department of Mathematics & Statistics, College of Liberal Arts and Sciences
    URI
    http://hdl.handle.net/10057/3171
    Collections
    • MATH Graduate Student Conference Papers
    • Proceedings 2010: 6th Annual Symposium: Graduate Research and Scholarly Projects

    Browse

    All of Shocker Open Access RepositoryCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsBy TypeThis CollectionBy Issue DateAuthorsTitlesSubjectsBy Type

    My Account

    LoginRegister

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular Authors

    DSpace software copyright © 2002-2023  DuraSpace
    DSpace Express is a service operated by 
    Atmire NV