@techreport{oai:kyutech.repo.nii.ac.jp:00004115, author = {Komori, Yoshio and 小守, 良雄 and Burrage, Kevin}, month = {May}, note = {In order to simulate stiff biochemical reaction systems, an explicit exponential Euler-Maruyama scheme is derived for multi-dimensional, non-commutative stochastic differential equations with a semilinear drift term. The scheme is of strong order a 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equation for a human ether a-go-go related gene ion channel model., [Remark] The material in this report has been superseded by the following paper: Y. Komori and K. Burrage (2014), A stochastic exponential Euler scheme for simulation of stiff biochemical reaction systems, BIT Numerical Mathematics, 54 (4), 1067-1085.}, title = {Exponential Euler-Maruyama scheme for simulation of stiff biochemical reaction systems}, year = {2013}, yomi = {コモリ, ヨシオ} }