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SUMMARY:PlgCirMap: A MATLAB toolbox for computing the conformal maps from 
 polygonal multiply connected domains onto circular domains - Mohamed Nasse
 r (Qatar University)
DTSTART:20190913T080000Z
DTEND:20190913T090000Z
UID:TALK129541@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:In [1]\, the author has presented a method for computing the c
 onformal mapping form a given bounded or unbounded multiply connected doma
 ins onto circular domain. The method is based on a fast numerical implemen
 tation of Koebe&#39\;s iterative method using the boundary integral equati
 on with the generalized Neumann kernel which can be solved fast and accura
 tely with the help of FMM [2]. The method gives accurate results even when
  the given domain is a polygonal domain.  In this talk\, the method presen
 ted in [1] will be used to develop a MATLAB toolbox for computing the conf
 ormal mapping $w=f(z)$ from a given polygonal multiply connected domain $G
 $ onto a circular domain $D$ and its inverse $z=f^{-1}(w)$. The boundaries
  of the polygons are assumed to be piecewise smooth Jordan curves without 
 cusps. The toolbox can be used even for domains with high connectivity.   
  References.  [1] M.M.S. Nasser\, Fast computation of the circular map\, C
 omput. Methods Funct. Theory 15 (2) (2015) 187-223.  [2] M.M.S. Nasser\, F
 ast solution of boundary integral equations with the generalized Neumann k
 ernel\, Electron. Trans. Numer. Anal. 44 (2015) 189-229.
LOCATION:Seminar Room 1\, Newton Institute
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