Numerical conformal mapping with rational functions
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” wit...
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| Format: | Journal article |
| Language: | English |
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Springer
2020
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| _version_ | 1797062201533530112 |
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| author | Trefethen, LN |
| author_facet | Trefethen, LN |
| author_sort | Trefethen, LN |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T20:42:07Z |
| format | Journal article |
| id | oxford-uuid:34a1fea5-f397-45c0-a4f7-b48b3bdb9153 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T20:42:07Z |
| publishDate | 2020 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:34a1fea5-f397-45c0-a4f7-b48b3bdb91532022-03-26T13:27:09ZNumerical conformal mapping with rational functionsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:34a1fea5-f397-45c0-a4f7-b48b3bdb9153EnglishSymplectic Elements at OxfordSpringer2020Trefethen, LNNew 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. |
| spellingShingle | Trefethen, LN Numerical conformal mapping with rational functions |
| title | Numerical conformal mapping with rational functions |
| title_full | Numerical conformal mapping with rational functions |
| title_fullStr | Numerical conformal mapping with rational functions |
| title_full_unstemmed | Numerical conformal mapping with rational functions |
| title_short | Numerical conformal mapping with rational functions |
| title_sort | numerical conformal mapping with rational functions |
| work_keys_str_mv | AT trefethenln numericalconformalmappingwithrationalfunctions |