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Computation of Logarithmic Capacity

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Abstract

We present a brief introduction to logarithmic capacity, and describe in detail a method for computing it using quadratic minimization. The method yields rigorous upper and lower bounds, which can in principle be made arbitrarily close to one another.

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Correspondence to Thomas Ransford.

Additional information

Research for this article was funded by NSERC (Canada), FQRNT (Québec) and the Canada Research Chairs program. Participation at the CMFT 2009 Conference was funded by TUBITAK (Turkey).

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Ransford, T. Computation of Logarithmic Capacity. Comput. Methods Funct. Theory 10, 555–578 (2011). https://doi.org/10.1007/BF03321780

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  • DOI: https://doi.org/10.1007/BF03321780

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