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Referring to ordinary differential equations that require an extremely small timestep to guarantee numerical stability.

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What is the case of trade-off in different Runge-Kutta methods

There are so many Runge-Kutta methods, including Dormand-Prince 45, Cash-Karp 54, Fehlberge 78. Is there any comparison between them? E.g. What is each approach sacrificing? What is the general trad …
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