consider the embedded Runge-Kutta pair

Consider the embedded Runge-Kutta pair: 0 2 6 6 3 Note that the inner two-stage method is implicit and that the third stage is explicit. This implies that the added cost of error control is marginal (a) Prove that the inner method is of order 2 while the full three-stage method is of order 3. (b) Show that the inner method is A-stable. Can you identify it as a familiar method in disguise? Consider the embedded Runge-Kutta pair: 0 2 6 6 3 Note that the inner two-stage method is implicit and that the third stage is explicit. This implies that the added cost of error control is marginal (a) Prove that the inner method is of order 2 while the full three-stage method is of order 3. (b) Show that the inner method is A-stable. Can you identify it as a familiar method in disguise