Extremal distance, harmonic measure and numerical conformal mapping

DOI10.1016/0377-0427(93)90289-NzbMath0782.30009MaRDI QIDQ1802160

John A. Pfaltzgraff, Thomas K. Delillo

Publication date: 8 August 1993

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

zbMATH Keywords

crowding phenomenon

Mathematics Subject Classification ID

Capacity and harmonic measure in the complex plane (30C85) Schwarz-Christoffel-type mappings (30C30)

Related Items (2)

Numerical conformal mapping methods based on Faber series ⋮ Representation of conformal maps by rational functions

Uses Software

• SCPACK
• CONFPACK

Cites Work

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• Convergence proofs and error estimates for an iterative method for conformal mapping
• Extremallängen und Kapazität
• A domain decomposition method for conformal mapping onto a rectangle
• A domain decomposition method for approximating the conformal modules of long quadrilaterals
• A note on Rengel's inequality and the crowding phenomenon in conformal mapping
• A conformal map formula for difficult cases
• Numerical techniques for conformal mapping onto a rectangle
• Numerical experiments with a method of successive approximation for conformal mapping
• Methods for numerical conformal mapping
• A Formberg-like conformal mapping method for slender regions
• Ermittlung des konformen Moduls von Vierecken mit Differenzenmethoden. (Determination of the conformal module of quadrangles with differnece methods)
• A Modified Schwarz–Christoffel Transformation for Elongated Regions
• An Efficient Implementation of a Conformal Mapping Method Based on the Szegö Kernel
• A Fast Algorithm for the Numerical Evaluation of Conformal Mappings
• An estimate for crowding in conformal mapping to elongated regions
• The Accuracy of Numerical Conformal Mapping Methods: A Survey of Examples and Results
• Ahlfors and conformal invariants
• A Comparison of some Numerical Conformal Mapping Methods for Exterior Regions

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