Show simple item record

AuthorNasser, M.M.S.
AuthorNasser, Mohamed M.S.
AuthorVuorinen, Matti
Available date2024-03-12T10:37:15Z
Publication Date2020-11-04
Publication NameComputational Methods and Function Theory
Identifierhttp://dx.doi.org/10.1007/s40315-020-00351-8
CitationNasser, M. M., & Vuorinen, M. (2020). Conformal invariants in simply connected domains. Computational Methods and Function Theory, 20(3), 747-775.
ISSN1617-9447
URIhttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85094961920&origin=inward
URIhttp://hdl.handle.net/10576/52961
AbstractThis 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.
SponsorOpen Access funding provided by the Qatar National Library.
Languageen
PublisherSpringer Link
SubjectConformal mappings
Harmonic measure
Hyperbolic distance
Quadrilateral domains
Reduced modulus
TitleConformal Invariants in Simply Connected Domains
TypeArticle
Issue Number3-4
Volume Number20
ESSN2195-3724
dc.accessType Open Access


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record