The Szegö kernel and oblique projections: conformal mapping of non-smooth regions

DOI10.1007/s11075-023-01594-xOpenAlexW4383373599MaRDI QIDQ6181165

Manfred R. Trummer

Publication date: 22 January 2024

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-023-01594-x

zbMATH Keywords

numerical conformal mappingoblique projectionsSzegö kernelRiemann mapping function

Mathematics Subject Classification ID

Schwarz-Christoffel-type mappings (30C30) Kernel functions in one complex variable and applications (30C40) Numerical methods in conformal mappings (65E10)

Cites Work

• Unnamed Item
• Unnamed Item
• A Nyström method for boundary integral equations in domains with corners
• Numerical conformal mapping via the Szegö kernel
• Numerical computation of the Ahlfors map of a multiply connected planar domain
• The Cauchy kernel, the Szegö kernel, and the Riemann mapping function
• Multigrid conformal mapping via the Szegő kernel
• A comparison of some numerical conformal mapping methods for simply and multiply connected domains
• Holomorphic reproducing kernels for piecewise-smooth planar domains
• Conformal mapping of nonsmooth domains via the Kerzman-Stein integral equation
• The Cauchy Transform, Potential Theory and Conformal Mapping
• On Differentiability at the Boundary in Conformal Mapping
• An Efficient Implementation of a Conformal Mapping Method Based on the Szegö Kernel
• Equivalence of Nystrom's Method and Fourier Methods for the Numerical Solution of Fredholm Integral Equations
• A Numerical Method for Conformal Mappings
• Schwarz-Christoffel Mapping

This page was built for publication: The Szegö kernel and oblique projections: conformal mapping of non-smooth regions