Runge-Kutta order versus stages

The textbook version of the Runge-Kutta method for solving differential equations has 4 stages and has 4th order error. For lower order versions of RK the number of stages s also matches the order of the error p. But in order to achieve error on the order of p ≥ 5, you need more than p [ ] The post Runge-Kutta order versus stages first appeared on John D. Cook .