Verner 8 method

Explicit, thirteen-stage, eighth-order, variable-step, Runge-Kutta method.¹

$$\frac{dy}{dt}=f(t,y)$$ $$t_{n+1}=t_n+h$$ $$k_1=f(t_n,y_n)$$ $$\cdots$$

1. J.H. Verner, Numer. Algor. 53, 383 (2010). ↩