has parameter uses has Runge-Kutta method order Runge-Kutta based method embedded Runge-Kutta method Dormand-Prince 8(5,3) method 1 8 1 1 1 1 5 2012-09-26 http://identifiers.org/isbn/978-3-540-56670-0 AZ This method is based on an 8(6) method by Dormand and Prince (i.e. order 8 for the integration and order 6 for error estimation) modified by Hairer and Wanner to use a 5th order error estimator with 3rd order correction. safety factor on new step selection minimum factor to change step size by maximum factor to change step size by beta parameter for stabilized step size control initial step size