I agree about the purpose of NR. However when I saw numerous mentions of RKF45 on the web, and in another textbook, I assumed RKF45 was a "common" technique. And that is why I though it was strange that it wasn't even mentioned in NR.
My ODEs are all first order.
Thanks for your insight on...
I've written a Runge Kutta algorithm that uses a fixed step size. It works fine for many of my problems dealing with chemical reaction kinetics but I would like to make it faster and more robust by implementing automatic step size adjustments.
I have looked at the at the step-doubling...