A stochastic exponential Euler scheme for simulation of stiff biochemical reaction systems

被引：29

作者：

Komori, Yoshio ^{[1
]}

Burrage, Kevin ^{[2
,3
]}

机构：

[1] Kyushu Inst Technol, Dept Syst Design & Informat, Iizuka, Fukuoka 8208502, Japan

[2] Univ Oxford, Dept Comp Sci, Oxford OX1 3QD, England

[3] Queensland Univ Technol, Sch Math, Brisbane, Qld 4001, Australia

来源：

BIT NUMERICAL MATHEMATICS | 2014年 / 54卷 / 04期

关键词：

Explicit method; Mean square stability; Chemical Langevin equation; RUNGE-KUTTA METHODS; S-ROCK METHODS; LOCAL LINEARIZATION SCHEMES; DIFFERENTIAL-EQUATIONS; CHEBYSHEV METHODS; APPROXIMATION; CONVERGENCE; STABILITY; EXPLICIT;

D O I：

10.1007/s10543-014-0485-1

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

In order to simulate stiff biochemical reaction systems, an explicit exponential Euler scheme is derived for multi-dimensional, non-commutative stochastic differential equations with a semilinear drift term. The scheme is of strong order one half and A-stable in mean square. The combination with this and the projection method shows good performance in numerical experiments dealing with an alternative formulation of the chemical Langevin equation for a human ether a-go-go related gene ion channel model.

引用

页码：1067 / 1085

页数：19

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