The bergman kernel method for the numerical conformal mapping of simply connected domains

D. Levin; N. Papamichael; A. Sideridis

doi:10.1093/imamat/22.2.171

The bergman kernel method for the numerical conformal mapping of simply connected domains

D. Levin^*, N. Papamichael, A. Sideridis

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

A numerical method for the conformal mapping of simply-connected domains onto the unit disc is considered. The method is based on the use of the Bergman kernel function of the domain. It is shown that, for a successful application, the basis of the series representation of the kernel must include terms that reflect the main singular behaviour of the kernel in the complement of the domain.

Original language	English
Pages (from-to)	171-187
Number of pages	17
Journal	IMA Journal of Applied Mathematics
Volume	22
Issue number	2
DOIs	https://doi.org/10.1093/imamat/22.2.171
State	Published - Sep 1978
Externally published	Yes

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title = "The bergman kernel method for the numerical conformal mapping of simply connected domains",

abstract = "A numerical method for the conformal mapping of simply-connected domains onto the unit disc is considered. The method is based on the use of the Bergman kernel function of the domain. It is shown that, for a successful application, the basis of the series representation of the kernel must include terms that reflect the main singular behaviour of the kernel in the complement of the domain.",

author = "D. Levin and N. Papamichael and A. Sideridis",

year = "1978",

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AB - A numerical method for the conformal mapping of simply-connected domains onto the unit disc is considered. The method is based on the use of the Bergman kernel function of the domain. It is shown that, for a successful application, the basis of the series representation of the kernel must include terms that reflect the main singular behaviour of the kernel in the complement of the domain.

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The bergman kernel method for the numerical conformal mapping of simply connected domains

Abstract

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