Conformal Invariants in Simply Connected Domains
| المؤلف | Nasser, M.M.S. |
| المؤلف | Nasser, Mohamed M.S. |
| المؤلف | Vuorinen, Matti |
| تاريخ الإتاحة | 2024-03-12T10:37:15Z |
| تاريخ النشر | 2020-11-04 |
| اسم المنشور | Computational Methods and Function Theory |
| المعرّف | http://dx.doi.org/10.1007/s40315-020-00351-8 |
| الاقتباس | Nasser, M. M., & Vuorinen, M. (2020). Conformal invariants in simply connected domains. Computational Methods and Function Theory, 20(3), 747-775. |
| الرقم المعياري الدولي للكتاب | 1617-9447 |
| الملخص | 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. |
| راعي المشروع | Open Access funding provided by the Qatar National Library. |
| اللغة | en |
| الناشر | Springer Link |
| الموضوع | Conformal mappings Harmonic measure Hyperbolic distance Quadrilateral domains Reduced modulus |
| النوع | Article |
| رقم العدد | 3-4 |
| رقم المجلد | 20 |
| ESSN | 2195-3724 |
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