has characteristic has Runge-Kutta method order explicit fourth-order Runge-Kutta method 4 2007-11-12 http://identifiers.org/biosimulators/jsim http://identifiers.org/biosimulators/vcell http://identifiers.org/isbn/0-471-91046-5 ERK4 GSL RK4 Runge-Kutta method The Runge-Kutta method is a method for the numerical integration of ODES with a given initial value. The calculation of the next integration step at time t+1 is based on the state of the system at time point t, plus the product of the size of the interval and an estimated slope. The slope is a weighted average of 4 single slope points (beginning of interval-midpoint-midpoint-end of interval). dk Runge-Kutta based method deterministic system behaviour progression with fixed time step explicit method type ordinary differential equation problem