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

Table 2

The Schlögl 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.	1235	950	285	0.9976
	PI-adapt.	1198	1123	75	0.9942
	Fixed	1235	—	—	10.7990
10^−2	I-adapt.	3472	2869	603	0.9992
	PI-adapt.	3334	3179	155	0.9981
	Fixed	3472	—	—	14.6088
10^−3	I-adapt.	9724	8617	1107	0.9997
	PI-adapt.	9587	9275	312	0.9993
	Fixed	9724	—	—	18.7245