Adaptive explicit-implicit tau-leaping method with automatic tau selection
نویسندگان
چکیده
منابع مشابه
Adaptive explicit-implicit tau-leaping method with automatic tau selection.
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 demo...
متن کاملThe Adaptive Explicit-Implicit Tau-Leaping Method with Automatic Tau Selection
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 is proposed that identifies stiffness and automatically chooses between the explicit and the (new) implicit tau-selection methods to achieve better efficiency. Numerical testing demo...
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The adaptive explicit-implicit tau-leaping method with automatic tau selection [Y. Cao, D. T. Gillespie and L. R. Petzold, J. Chem. Phys., 126(22):224101 (2007)] is a flexible algorithm for accelerated stochastic simulation of chemically reacting systems. It combines the advantages of different simulation schemes and is particularly useful when a system changes its dynamical behavior over time ...
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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-le...
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The tau-leaping method of simulating the stochastic time evolution of a well-stirred chemically reacting system uses a Poisson approximation to take time steps that leap over many reaction events. Theory implies that tau leaping should be accurate so long as no propensity function changes its value "significantly" during any time step tau. Presented here is an improved procedure for estimating ...
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ژورنال
عنوان ژورنال: The Journal of Chemical Physics
سال: 2007
ISSN: 0021-9606,1089-7690
DOI: 10.1063/1.2745299