<p>We explore the problem of estimating the steady-state temperature in a two-dimensional domain at a point knowing the temperature to high order at another point. We find connections to the Bergman kernel of the domain, Runge’s theorem, and approximate null quadrature identities.</p>

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Remote temperature sensing in 2D and the Bergman kernel

  • Steven R. Bell,
  • Leah McNabb

摘要

We explore the problem of estimating the steady-state temperature in a two-dimensional domain at a point knowing the temperature to high order at another point. We find connections to the Bergman kernel of the domain, Runge’s theorem, and approximate null quadrature identities.