Journal article
Numerical conformal mapping with rational functions
- Abstract:
- New algorithms are presented for numerical conformal mapping based on rational approximations and the solution of Dirichlet problems by least-squares fitting on the boundary. The methods are targeted at regions with corners, where the Dirichlet problem is solved by the “lightning Laplace solver” with poles exponentially clustered near each singularity. For polygons and circular polygons, further simplifications are possible.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, pdf, 1.7MB, Terms of use)
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- Publisher copy:
- 10.1007/s40315-020-00325-w
Authors
- Publisher:
- Springer
- Journal:
- Computational Methods and Function Theory More from this journal
- Volume:
- 20
- Issue:
- 3-4
- Pages:
- 369–387
- Publication date:
- 2020-07-28
- Acceptance date:
- 2019-12-19
- DOI:
- EISSN:
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2195-3724
- ISSN:
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1617-9447
- Language:
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English
- Keywords:
- Pubs id:
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pubs:1072563
- UUID:
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uuid:34a1fea5-f397-45c0-a4f7-b48b3bdb9153
- Local pid:
-
pubs:1072563
- Source identifiers:
-
1072563
- Deposit date:
-
2020-01-11
Terms of use
- Copyright holder:
- Springer-Verlag GmbH Germany
- Copyright date:
- 2020
- Rights statement:
- © Springer-Verlag GmbH Germany, part of Springer Nature 2020.
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from Springer at: https://doi.org/10.1007/s40315-020-00325-w
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