Research Article
Adaptive Time-Stepping Using Control Theory for the Chemical Langevin Equation
Table 1
The stiff model: the number of steps taken by the I-adaptive, PI-adaptive, and fixed step-size methods on the time-interval [0, 2 × 10−2].
| | Method | Tried steps | Accepted steps | Failed steps | Error/ |
| 1 | I-adapt. | 1943 | 1357 | 585 | 0.9985 | PI-adapt. | 1800 | 1652 | 148 | 0.9971 | Fixed | 1943 | — | — | 56.7290 |
| 10−1 | I-adapt. | 5298 | 3910 | 1388 | 0.9995 | PI-adapt. | 4926 | 4587 | 339 | 0.9990 | Fixed | 5298 | — | — | 76.2772 |
| 10−2 | I-adapt. | 14590 | 11543 | 3046 | 0.9998 | PI-adapt. | 13816 | 13061 | 755 | 0.9997 | Fixed | 14590 | — | — | 100.6531 |
|
|