Timeline for Visualizing a holomorphic bijection between the unit disc and a domain
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
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| Sep 18, 2017 at 17:11 | comment | added | user664 |
The code with Graphics looks very clean. Maybe I should try to abandon ParametricPlot in my code as well.
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| Sep 18, 2017 at 2:44 | comment | added | halirutan | @Jack Yeah, I was afraid you ask that and I have to clean the hacky mess I had. Beware, it might take some time to calculate. | |
| Sep 18, 2017 at 2:38 | history | edited | halirutan | CC BY-SA 3.0 |
added 1493 characters in body
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| Sep 18, 2017 at 2:18 | comment | added | user664 | Great! Would you post the code for the last figure as well (I would like to see how the mesh is refined)? | |
| Sep 18, 2017 at 2:17 | history | edited | halirutan | CC BY-SA 3.0 |
added 203 characters in body
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| Sep 18, 2017 at 2:09 | history | edited | halirutan | CC BY-SA 3.0 |
added 841 characters in body
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| Sep 18, 2017 at 2:05 | comment | added | Michael E2 |
@Jack, halirutan, F[2/Pi*ArcTan[-Exp[2/(t + 1)] + Exp[2/(1 - t)]] + I*0]., {t, -1, 1}, is a better transformation.
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| Sep 18, 2017 at 0:50 | comment | added | user664 | Thanks for the answer! My code is based on what I have naively learned so far. I shall definitely try to digest yours eventually. In particular I like very much the colors you add. | |
| Sep 18, 2017 at 0:38 | comment | added | halirutan |
@MichaelE2 I was looking at your answer and saw that you already made a deep investigation. This is why I tried something different. I was thinking for a while if it is possible to insert another transformation into F that makes sampling of those points close to -1 and 1 easier but I wasn't sure if this doesn't blow the numerics as well in the end.
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| Sep 18, 2017 at 0:33 | comment | added | Michael E2 | +1 My first thought was along these lines, but I guess I was seduced by the numerics of trying to get the OP's circle drawn. | |
| Sep 18, 2017 at 0:25 | history | answered | halirutan | CC BY-SA 3.0 |