Conformal Invariants in Simply Connected Domains
<p>This paper studies the numerical computation of several conformal invariants of simply connected domains in the complex plane including, the hyperbolic distance, the reduced modulus, the harmonic measure, and the modulus of a quadrilateral. The used method is based on the boundary integral...
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2022
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| _version_ | 1864513567126978560 |
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| author | Mohamed M. S. Nasser (14152227) |
| author2 | Matti Vuorinen (14152230) |
| author2_role | author |
| author_facet | Mohamed M. S. Nasser (14152227) Matti Vuorinen (14152230) |
| author_role | author |
| dc.creator.none.fl_str_mv | Mohamed M. S. Nasser (14152227) Matti Vuorinen (14152230) |
| dc.date.none.fl_str_mv | 2022-11-22T21:15:44Z |
| dc.identifier.none.fl_str_mv | 10.1007/s40315-020-00351-8 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/Conformal_Invariants_in_Simply_Connected_Domains/21597825 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Applied mathematics Numerical and computational mathematics Applied Mathematics Computational Theory and Mathematics Analysis |
| dc.title.none.fl_str_mv | Conformal Invariants in Simply Connected Domains |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <p>This paper studies the numerical computation of several conformal invariants of simply connected domains in the complex plane including, the hyperbolic distance, the reduced modulus, the harmonic measure, and the modulus of a quadrilateral. The used method is based on the boundary integral equation with the generalized Neumann kernel. Several numerical examples are presented. The performance and accuracy of the presented method is validated by considering several model problems with known analytic solutions.</p><h2>Other Information</h2> <p> Published in: Computational Methods and Function Theory<br> License: <a href="https://creativecommons.org/licenses/by/4.0" target="_blank">https://creativecommons.org/licenses/by/4.0</a><br>See article on publisher's website: <a href="http://dx.doi.org/10.1007/s40315-020-00351-8" target="_blank">http://dx.doi.org/10.1007/s40315-020-00351-8</a></p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_b3dd2581d4ad0ab893b9189fa856a1fb |
| identifier_str_mv | 10.1007/s40315-020-00351-8 |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/21597825 |
| publishDate | 2022 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | Conformal Invariants in Simply Connected DomainsMohamed M. S. Nasser (14152227)Matti Vuorinen (14152230)Applied mathematicsNumerical and computational mathematicsApplied MathematicsComputational Theory and MathematicsAnalysis<p>This paper studies the numerical computation of several conformal invariants of simply connected domains in the complex plane including, the hyperbolic distance, the reduced modulus, the harmonic measure, and the modulus of a quadrilateral. The used method is based on the boundary integral equation with the generalized Neumann kernel. Several numerical examples are presented. The performance and accuracy of the presented method is validated by considering several model problems with known analytic solutions.</p><h2>Other Information</h2> <p> Published in: Computational Methods and Function Theory<br> License: <a href="https://creativecommons.org/licenses/by/4.0" target="_blank">https://creativecommons.org/licenses/by/4.0</a><br>See article on publisher's website: <a href="http://dx.doi.org/10.1007/s40315-020-00351-8" target="_blank">http://dx.doi.org/10.1007/s40315-020-00351-8</a></p>2022-11-22T21:15:44ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1007/s40315-020-00351-8https://figshare.com/articles/journal_contribution/Conformal_Invariants_in_Simply_Connected_Domains/21597825CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/215978252022-11-22T21:15:44Z |
| spellingShingle | Conformal Invariants in Simply Connected Domains Mohamed M. S. Nasser (14152227) Applied mathematics Numerical and computational mathematics Applied Mathematics Computational Theory and Mathematics Analysis |
| status_str | publishedVersion |
| title | Conformal Invariants in Simply Connected Domains |
| title_full | Conformal Invariants in Simply Connected Domains |
| title_fullStr | Conformal Invariants in Simply Connected Domains |
| title_full_unstemmed | Conformal Invariants in Simply Connected Domains |
| title_short | Conformal Invariants in Simply Connected Domains |
| title_sort | Conformal Invariants in Simply Connected Domains |
| topic | Applied mathematics Numerical and computational mathematics Applied Mathematics Computational Theory and Mathematics Analysis |