Abstract
It is shown that forn a non-negative integer, there does not exist an explicit Runge-Kutta method with 10 +n stages and order 8 +n. It follows that for order 8, the minimum number of stages is 11.
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Butcher, J.C. The non-existence of ten stage eighth order explicit Runge-Kutta methods. BIT 25, 521–540 (1985). https://doi.org/10.1007/BF01935372
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DOI: https://doi.org/10.1007/BF01935372