QQ客服 官方微博 反馈留言

	A weak second order tau-leaping method for chemical kinetic systems
	Hu, Yucheng ; Li, Tiejun ; Min, Bin
	2011
关键词	STOCHASTIC SIMULATION REACTING SYSTEMS GENE-EXPRESSION STABILITY SCHEMES
英文摘要	Recently Anderson and Mattingly [Comm. Math. Sci. 9, 301 (2011)] proposed a method which can solve chemical Langevin equations with weak second order accuracy. We extend their work to the discrete chemical jump processes. With slight modification, the method can also solve discrete chemical kinetic systems with weak second order accuracy in the large volume scaling. Especially, this method achieves higher order accuracy than both the Euler tau-leaping and mid-point tau-leaping methods in the sense that the local truncation error for the covariance is of order tau(3)V(-1) when tau = V(-beta) (0 < beta < 1) and the system size V -> infinity. We present the convergence analysis, numerical stability analysis, and numerical examples. Overall, in the authors' opinion, the new method is easy to be implemented and good in performance, which is a good candidate among the highly accurate tau-leaping type schemes for discrete chemical reaction systems. (C) 2011 American Institute of Physics. [doi: 10.1063/1.3609119]; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000292776000016&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Physics, Atomic, Molecular & Chemical; SCI(E); EI; PubMed; 8; ARTICLE; 2; 024113; 135
语种	英语
出处	EI ; PubMed ; SCI
出版者	journal of chemical physics
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/193311]
专题	数学科学学院
推荐引用方式 GB/T 7714	Hu, Yucheng,Li, Tiejun,Min, Bin. A weak second order tau-leaping method for chemical kinetic systems. 2011-01-01.

个性服务

查看访问统计

相关权益政策

暂无数据

收藏/分享

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。