Abstract
Approximation polynomial of temperature for the emf of a thermocouple is of high order, with low accuracy and many digits in the polynomial coefficients. These disadvantages are shown clearly in comparison with the approximation of high-temperature heat capacity. The fitting problems result from the fundamental reason, namely, the particular analytical expression for the emf as the function of temperature.
In the approximation theory, this disadvantage is known as Runge’s phenomenon. In this report, it is shown to be typical of the functions with a negative power of the variable, where the derivation produces a factorial.
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Drebushchak, V.A. Approximation of the emf of a thermocouple. J Therm Anal Calorim 96, 315–320 (2009). https://doi.org/10.1007/s10973-008-9390-7
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DOI: https://doi.org/10.1007/s10973-008-9390-7