Adaptive explicit-implicit tau-leaping method with automatic tau selection
Adaptive explicit-implicit tau-leaping method with automatic tau selection
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DOI：
10.1063/1.2745299
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发表时间：
2007-06-14
影响因子：
4.4
通讯作者：
Petzold, Linda R.
中科院分区：
文献类型：
--
作者：
Cao, Yang;Gillespie, Daniel T.;Petzold, Linda R.
现有的τ选择策略，这是专为显式τ跳跃，在这里修改适用于隐式τ跳跃，允许更长的步骤时，系统是僵硬的。此外，提出了一种自适应策略，该策略识别刚度并自动在显式和（新的）隐式τ选择方法之间进行选择，以实现更好的效率。数值试验表明，自适应方法的刚性系统的优点。(c)2007年，美国物理学会。
The existing tau-selection strategy, which was designed for explicit tau leaping, is here modified to apply to implicit tau leaping, allowing for longer steps when the system is stiff. Further, an adaptive strategy that identifies stiffness and automatically chooses between the explicit and the (new) implicit tau-selection methods to achieve better efficiency is proposed. Numerical testing demonstrates the advantages of the adaptive method for stiff systems. (c) 2007 American Institute of Physics.