For chemical systems involving both fast and slow scales, stiffness presents challenges for efficient stochastic simulation. Two different avenues have been explored to solve this problem. One is the slow-scale stochastic simulation (ssSSA) based on the stochastic partial equilibrium assumption. The other is the tau-leaping method. In this paper we propose a new algorithm, the slow-scale tau-leaping method, which combines some of the best features of these two methods. Numerical experiments are presented which illustrate the effectiveness of this approach.

中文翻译：

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慢尺度 tau 跳跃法

对于涉及快速和慢速尺度的化学系统，刚度对高效的随机模拟提出了挑战。已经探索了两种不同的途径来解决这个问题。一种是基于随机部分均衡假设的慢速随机模拟 (ssSSA)。另一种是tau-leaping方法。在本文中，我们提出了一种新算法，即慢速 tau 跳跃方法，它结合了这两种方法的一些最佳特征。数值实验说明了这种方法的有效性。