Conformal Invariants in Simply Connected Domains
| Author | Nasser, M.M.S. |
| Author | Nasser, Mohamed M.S. |
| Author | Vuorinen, Matti |
| Available date | 2024-03-12T10:37:15Z |
| Publication Date | 2020-11-04 |
| Publication Name | Computational Methods and Function Theory |
| Identifier | http://dx.doi.org/10.1007/s40315-020-00351-8 |
| Citation | Nasser, M. M., & Vuorinen, M. (2020). Conformal invariants in simply connected domains. Computational Methods and Function Theory, 20(3), 747-775. |
| ISSN | 1617-9447 |
| Abstract | 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. |
| Sponsor | Open Access funding provided by the Qatar National Library. |
| Language | en |
| Publisher | Springer Link |
| Subject | Conformal mappings Harmonic measure Hyperbolic distance Quadrilateral domains Reduced modulus |
| Type | Article |
| Issue Number | 3-4 |
| Volume Number | 20 |
| ESSN | 2195-3724 |
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Mathematics, Statistics & Physics [699 items ]