• Fast and Accurate Computation of the Logarithmic Capacity of Compact Sets 

      Liesen, Jörg; Sète, Olivier; Nasser, Mohamed M. S. ( Springer Berlin Heidelberg , 2017 , Article)
      We present a numerical method for computing the logarithmic capacity of compact subsets of C, which are bounded by Jordan curves and have finitely connected complement. The subsets may have several components and need not ...
    • Numerical Computation of the Conformal Map onto Lemniscatic Domains 

      Nasser, Mohamed M.S.; Liesen, Jörg; Sète, Olivier ( Springer , 2016 , Article)
      We present a numerical method for the computation of the conformal map from unbounded multiply-connected domains onto lemniscatic domains. For ℓ -times connected domains, the method requires solving ℓ boundary integral ...
    • Numerical Computing of Preimage Domains for Bounded Multiply Connected Slit Domains 

      Nasser, Mohamed M. S. ( Springer New York LLC , 2019 , Article)
      In this paper, for a given bounded multiply connected slit domai, we present an iterative numerical method for computing a conformally equivalent multiply connected domain G bounded by smooth Jordan curves and the conformal ...