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ACCA-Imperial / SKPrime

A MATLAB implementation of the Schottky-Klein prime function.
GNU General Public License v3.0
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slit mapping problem #100

Closed ChangQingScq closed 1 year ago

ChangQingScq commented 1 year ago

Does this repository support a ring map where the initial boundary is not circular? How do I get a slit mapping like S(a). Looking forward to your answer. image

ehkropf commented 1 year ago

Best strategy would be to create a conformal map to a circle domain (each boundary maps to a circle) software exists for this, see e.g. Kropf and DeLillo's take on Fornberg's method, or you could just implement Fornberg's method). Once you have a circle domain, you can then use various methods (See DeLillo or DeLillo and Kropf (and sometimes Elcrat)).

Unfortunately I'm not sure anyone still maintains this. I'm working in a different field now and don't have time to play wiht this stuff any longer. Crowdy or Sheehan (see https://www.imperial.ac.uk/applied-computational-complex-analysis/acca-imperial/) might be a good resource for questions?