Efficient formulation of the stochastic simulation algorithm for chemically reacting systems.

By Yang Cao, Hong Li, Linda R. Petzold. Journal of Chemical Physics, 2004

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An overview of spatial microscopic and accelerated kinetic Monte Carlo methods (2007, methodology): “When time scale separation between processes exists, the linear search method is most efficient when fast processes (processes with large expected transition probability) are located at the beginning of the array/linked list [137].”
Stochastic population dynamics in spatially extended predator–prey systems (2017, background): “[66] for a good overview) can be challenging to implement due to the complexity involved in calculating the reaction propensities.”
Stochastic simulation of chemical kinetics. (2007, methodology): “Cao et al. ( 21 ) recently introduced a modified direct method that often makes the direct method competitive in speed with the next-reaction method.”