A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Conformal Invariants in Simply Connected Domains
Tekijät: Mohamed M. S. Nasser, Matti Vuorinen
Kustantaja: SPRINGER HEIDELBERG
Julkaisuvuosi: 2020
Journal: Computational Methods and Function Theory
Tietokannassa oleva lehden nimi: COMPUTATIONAL METHODS AND FUNCTION THEORY
Lehden akronyymi: COMPUT METH FUNCT TH
Vuosikerta: 20
Numero: 3-4
Aloitussivu: 747
Lopetussivu: 775
Sivujen määrä: 29
ISSN: 1617-9447
eISSN: 2195-3724
DOI: https://doi.org/10.1007/s40315-020-00351-8
Rinnakkaistallenteen osoite: https://research.utu.fi/converis/portal/detail/Publication/50965465
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.
Ladattava julkaisu This is an electronic reprint of the original article. |  |
