The mathematical understanding of tau-leaping algorithm
Tiejun Li (Peking University)

The tau-leaping algorithm is proposed by D.T. Gillespie in 2001 for accelerating the simulation for chemical reaction systems. It is faster than the traditional stochastic simulation algorithm (SSA), which is an exact simulation algorithm. In this lecture, I will overview some recent mathematical results on tau-leaping  done by our group, which include the rigorous analysis, construction of the new algorithm, and the systematic analysis of the error.