Computing all zeros of harmonic mappings in the plane
Duration: 29 mins 15 secs
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About this item
| Description: |
Zur, J
Tuesday 10th September 2019 - 15:00 to 15:30 |
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| Created: | 2019-09-10 15:32 |
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| Collection: | The complex analysis toolbox: new techniques and perspectives |
| Publisher: | Isaac Newton Institute |
| Copyright: | Zur, J |
| Language: | eng (English) |
| Abstract: | We present a continuation method to compute all zeros of certain harmonic mappings f in the complex plane. While tracing the homotopy curves of f is done by a prediction correction approach, the main difficulty is to handle the bifurcations and turning points. To achieve this we study the critical curves and caustics of f. Moreover, we illustrate our method with several examples and discuss possible extensions. This is joint work with Olivier Sète (TU Berlin). |
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