Adaptive Time-Stepping Using Control Theory for the Chemical Langevin Equation

Table 3

The decay-dimerization model: the number of steps taken by the I-adaptive, PI-adaptive, and fixed stepsize methods on the time-interval .

	Method	Tried steps	Accepted steps	Failed steps	Error/
10^−1	I-adapt.	1344	1150	194	0.9980
	PI-adapt.	1321	1275	46	0.9952
	Fixed	1344	—	—	573.9135
10^−2	I-adapt.	3888	3505	383	0.9992
	PI-adapt.	3852	3752	100	0.9984
	Fixed	3888	—	—	685.7963
10^−3	I-adapt.	11509	10831	678	0.9996
	PI-adapt.	11496	11298	198	0.9994
	Fixed	11509	—	—	782.6674