TABLE I.
Root mean square error (RMSE) for our operator-splitting algorithm and CM. The superscript * represents the sample average of 20 000 trials, and Δ denotes the size of cubic compartments relative to the system’s size L. Units of RMSE are in the number of molecules of species C, averaged over 20 000 trials for the diffusion-dominated case and over 5000 for the other two scenarios.
| RMSE | |||||
|---|---|---|---|---|---|
| Regime | DaL | CM, Δ = L/4 | CM, Δ = L/8 | CM, Δ = L/16 | Our method |
| Diffusion-dominated* | 0.01 | 0.3949 | 0.4150 | 1.0855 | 1.2141 |
| Intermediate | 1 | 3.3558 | 1.6514 | 3.6082 | 0.7374 |
| Reaction-dominated | 100 | 17.9951 | 34.9453 | 63.9988 | 3.8607 |