An explicit 16-stage Runge–Kutta method of order 10 discovered by numerical search
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Publisher
Springer Science and Business Media LLC
Link
https://link.springer.com/content/pdf/10.1007/s11075-024-01783-2.pdf
Reference29 articles.
1. Butcher, J.C.: Numerical methods for ordinary differential equations. Wiley, Hoboken, NJ. (2016). https://doi.org/10.1002/9781119121534
2. Butcher, J.C.: On Runge-Kutta processes of high order. J. Aust. Math. Soc. 4(2), 179–194 (1964). https://doi.org/10.1017/s1446788700023387
3. Butcher, J.C.: On the attainable order of Runge-Kutta methods. Math. Comput. 19(91), 408–417 (1965). https://doi.org/10.1090/s0025-5718-1965-0179943-x
4. Butcher, J.C.: The non-existence of ten stage eighth order explicit Runge-Kutta methods. BIT 25(3), 521–540 (1985). https://doi.org/10.1007/bf01935372
5. Butcher, J.C.: Numerical methods for ordinary differential equations in the 20th century. J Comput Appl Math. 125(1), 1–29 (2000). https://doi.org/10.1016/S0377-0427(00)00455-6
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