Numerical computation of surface conformal mappings

Xianfeng David Gu Wei Zeng Feng Luo Shing-Tung Yau

Computational Geometry mathscidoc:1912.43554

Computational Methods and Function Theory, 11, (2), 747-787, 2012.1
We report recent progress in the computation of conformal mappings from surfaces with arbitrary topologies to canonical domains. Two major computational methodologies are emphasized; one is holomorphic differentials based on Riemann surface theory and the other is surface Ricci flow from geometric analysis. The applications of surface conformal mapping in the field of engineering are briefly reviewed.
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  title={Numerical computation of surface conformal mappings},
  author={Xianfeng David Gu, Wei Zeng, Feng Luo, and Shing-Tung Yau},
  booktitle={Computational Methods and Function Theory},
Xianfeng David Gu, Wei Zeng, Feng Luo, and Shing-Tung Yau. Numerical computation of surface conformal mappings. 2012. Vol. 11. In Computational Methods and Function Theory. pp.747-787.
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