Abstract
The Runge-Kutta space, a mathematical framework for discussing accuracy questions for initial value problems, is introduced and applied to the analysis of order conditions for a slight modification to the Runge-Kutta method. The modified method is proposed as a possible approach to breaking through various order barriers.
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Dedicated to Germund Dahlquist on the occasion of his 60th birthday
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Butcher, J.C. An application of the runge-kutta space. BIT 24, 425–440 (1984). https://doi.org/10.1007/BF01934902
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DOI: https://doi.org/10.1007/BF01934902