A 3-dimensional Bergman kernel method with applications to rectangular domains

DOI10.1016/j.cam.2005.04.058zbMath1099.30003OpenAlexW2032768807WikidataQ58197970 ScholiaQ58197970MaRDI QIDQ818157

Klaus Gürlebeck, Sebastian Bock, Maria Irene Falcão, Helmuth R. Malonek

Publication date: 24 March 2006

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2005.04.058

zbMATH Keywords

quaternionsFueter polynomialsnumerical package

Mathematics Subject Classification ID

General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Schwarz-Christoffel-type mappings (30C30) Completeness problems, closure of a system of functions of one complex variable (30B60)

Related Items (3)

Local distortion of M-conformal mappings ⋮ Constructing three-dimensional mappings onto the unit sphere with the hypercomplex Szegő kernel ⋮ 3D‐mappings by means of monogenic functions and their approximation

Cites Work

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• On the Bergmann kernel function in hyperholomorphic analysis
• Stability and convergence properties of Bergman kernel methods for numerical conformal mapping
• On quaternionic bergman and poly-bergman spaces
• Szegö and Polymonogenic Bergman Kernels for Half-Space and Strip Domains, and Single-Periodic Functions in Clifford Analysis
• Power series representation for monogenic functions in based on a permutational product
• The Bergman Kernel Method for the Numerical Conformal Mapping of Simply Connected Domains
• Bergman kernels for rectangular domains and multiperiodic functions in Clifford analysis
• Konstruktive Methoden der konformen Abbildung

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