A family of embedded Runge-Kutta formulae

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Abstract

A family of embedded Runge-Kutta formulae RK5 (4) are derived. From these are presented formulae which have (a) 'small' principal truncation terms in the fifth order and (b) extended regions of absolute stability. © 1980.

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Dormand, J. R., & Prince, P. J. (1980). A family of embedded Runge-Kutta formulae. Journal of Computational and Applied Mathematics, 6(1), 19–26. https://doi.org/10.1016/0771-050X(80)90013-3

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