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    Efficient calculation of Schwarz-Christoffel transformations for multiply connected domains using Laurent series

    Date
    2013-08
    Author
    DeLillo, Thomas K.
    Elcrat, Alan R.
    Kropf, Everett
    Pfaltzgraff, J. A.
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    Citation
    DeLillo, Thomas K.; Elcrat, Alan R.; Kropf, Everett; Pfaltzgraff, J.A. 2013. Efficient calculation of Schwarz-Christoffel transformations for multiply connected domains using Laurent series. Computational Methods and Function Theory, August 2013, v.13:no.2:pp 307-336
    Abstract
    We discuss recently developed numerics for the Schwarz–Christoffel transformation for unbounded multiply connected domains. The original infinite product representation for the derivative of the mapping function is replaced by a finite factorization where the inner factors satisfy certain boundary conditions derived here. Least squares approximations based on Laurent series are used to satisfy the boundary conditions. This results in a much more efficient method than the original method based on reflections making the accurate mapping of domains of higher connectivity feasible.
    Description
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    URI
    http://dx.doi.org/10.1007/s40315-013-0023-1
    http://hdl.handle.net/10057/6476
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