Computational Methods and Function Theory

, Volume 3, Issue 1, pp 325–347 | Cite as

Curvature Flow in Conformal Mapping

  • Charles R. CollinsEmail author
  • Tobin A. Driscoll
  • Kenneth Stephenson


We use a simple example to introduce a notion of curvature flow in the conformal mapping of polyhedral surfaces. The inquiry was motivated by experiments with discrete conformal maps in the sense of circle packing. We describe the classical theory behind these flows and demonstrate how to modify the Schwarz-Christoffel method to obtain classical numerical confirmation. We close with some additional examples.


Circle packing conformal mapping curvature Schwarz-Christoffel 

2000 MSC

52C26 30C30 53A30 65D15 37E35 53A05 


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Copyright information

© Heldermann  Verlag 2003

Authors and Affiliations

  • Charles R. Collins
    • 1
    Email author
  • Tobin A. Driscoll
    • 2
  • Kenneth Stephenson
    • 1
  1. 1.MathematicsUniversity of TennesseeKnoxvilleUSA
  2. 2.Mathematical SciencesUniversity of DelawareNewarkUSA

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