401 citations · 571 across the 24 of their papers we have counts for
4 papers · 1 filter
Fast and accurate computation of the logarithmic capacity of compact sets
Jörg Liesen, Olivier Sète, Mohamed M. S. Nasser
We present a numerical method for computing the logarithmic capacity of compact subsets of , which are bounded by Jordan curves and have finitely connected complement.…
Numerical computation of the conformal map onto lemniscatic domains
Mohamed M. S. Nasser, Jörg Liesen, Olivier Sète
We present a numerical method for the computation of the conformal map from unbounded multiply-connected domains onto lemniscatic domains. For -times connected domains the me…
Properties and examples of Faber--Walsh polynomials
Olivier Sète, Jörg Liesen
The Faber--Walsh polynomials are a direct generalization of the (classical) Faber polynomials from simply connected sets to sets with several simply connected components. In this p…
On conformal maps from multiply connected domains onto lemniscatic domains
Olivier Sète, Jörg Liesen
We study conformal maps from multiply connected domains in the extended complex plane onto lemniscatic domains. Walsh proved the existence of such maps in 1956 and thus obtained a…