A stochastic exponential Euler scheme for simulation of stiff biochemical reaction systems
Komori, Yoshio & Burrage, Kevin (2014) A stochastic exponential Euler scheme for simulation of stiff biochemical reaction systems. BIT Numerical Mathematics, 54(4), pp. 1067-1085.
In order to simulate stiff biochemical reaction systems, an explicit exponential Euler scheme is derived for multidimensional, 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 mode
Impact and interest:
Citation counts are sourced monthly from and citation databases.
These databases contain citations from different subsets of available publications and different time periods and thus the citation count from each is usually different. Some works are not in either database and no count is displayed. Scopus includes citations from articles published in 1996 onwards, and Web of Science® generally from 1980 onwards.
Citations counts from theindexing service can be viewed at the linked Google Scholar™ search.
|Item Type:||Journal Article|
|Keywords:||Explicit method, Mean square stability, Chemical Langevin equation|
|Divisions:||Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
|Copyright Owner:||© Springer Science+Business Media Dordrecht 2014|
|Deposited On:||30 Oct 2015 02:26|
|Last Modified:||30 Oct 2015 02:26|
Repository Staff Only: item control page