| L-leap-accelerating the stochastic simulation of chemically reacting systems |
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| 作者姓名： | 彭新俊 王翼飞 |
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| 作者单位： | Department of Mathematics Shanghai University，Shanghai 200444，P.R.China，Department of Mathematics，Shanghai University，Shanghai 200444，P.R.China |
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| 基金项目： | 国家自然科学基金;国家高技术研究发展计划(863计划) |
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| 摘 要： | Presented here is an L-leap method for accelerating stochastic simulation of well-stirred chemically reacting systems,in which the number of reactions occurring in a reaction channel with the largest propensity function is calculated from the leap condition and the number of reactions occurring in the other reaction channels are generated by using binomial random variables during a leap.The L-leap method can better satisfy the leap condition.Numerical simulation results indicate that the L-leap method can obtain better performance than established methods.
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| 关 键 词： | 化学反应系统 随机模拟算法 数学模型 物理化学 |
| 收稿时间： | 18 April 2007 |
| 修稿时间： | 2007-04-18 |
<Emphasis Type="Italic">L</Emphasis>-leap: accelerating the stochastic simulation of chemically reacting systems |
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| Peng?Xin-jun,Wang?Yi-fei.L-leap-accelerating the stochastic simulation of chemically reacting systems[J].Applied Mathematics and Mechanics(English Edition),2007,28(10):1361-1371. |
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| Authors: | Peng Xin-jun Wang Yi-fei |
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| Institution: | Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China |
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| Abstract: | Presented here is an L-leap method for accelerating stochastic simulation of well-stirred chemically reacting systems,in which the number of reactions occurring in a reaction channel with the largest propensity function is calculated from the leap condition and the number of reactions occurring in the other reaction channels are generated by using binomial random variables during a leap.The L-leap method can better satisfy the leap condition.Numerical simulation results indicate that the L-leap method can obtain better performance than established methods. |
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| Keywords: | L-leap algorithm leap condition stochastic simulation algorithm chemically reacting systems |
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