A numerical scheme for optimal transition paths of stochastic chemical kinetic systems
type: Item
instance of: scholarly article
title: A numerical scheme for optimal transition paths of stochastic chemical kinetic systems
zbMATH Open document ID: 1207.80027
author: Di Liu
published in: Journal of Computational Physics
publication date: 2008-10-08T00:00:00Z
review text: In this paper it is proposed a modified minimum action method for finding the optimal transition paths of chemical kinetic systems with large system size based on the large deviation theory for Markov processes. The optimal transition paths are solved using standard constraint optimization techniques. The major limitation of the minimum action method discussed in the present paper is that it turns very inefficient when the time horizon becomes large, since more space grid points are needed for an accurate representation of the transition paths.
reviewed by: Teodora-Liliana Rădulescu
Mathematics Subject Classification ID: 80M25
Mathematics Subject Classification ID: 37L55
Mathematics Subject Classification ID: 93E03
zbMATH DE Number: 5349716
zbMATH Keywords: stochastic chemical kinetic systems
zbMATH Keywords: stochastic processes
zbMATH Keywords: transition paths and transition rates
zbMATH Keywords: large deviation theory
zbMATH Keywords: numerical methods
zbMATH Keywords: constraint optimization
MaRDI profile type: Publication
full work available at URL: j.jcp.2008.06.010
OpenAlex ID: W2125264751
cites work: Q3997055
cites work: Q4865050
cites work: Large Deviations with Diminishing Rates
cites work: Minimum action method for the study of rare events
cites work: The geometric minimum action method: A least action principle on the space of curves
cites work: Strong approximation theorems for density dependent Markov chains
cites work: Q4748912
cites work: Q4225410
cites work: Numerical Optimization
cites work: Nested stochastic simulation algorithms for chemical kinetic systems with multiple time scales
DOI: 10.1016/J.JCP.2008.06.010
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description: scientific article; zbMATH DE number 5349716