scholarly journals Moment Closure Approximations of the Boltzmann Equation Based on $$\varphi $$ φ -Divergences

2016 ◽  
Vol 164 (1) ◽  
pp. 77-104 ◽  
Author(s):  
M. R. A. Abdelmalik ◽  
E. H. van Brummelen
Keyword(s):  
Boltzmann Equation ◽  
Moment Closure ◽  
The Boltzmann Equation ◽  
Closure Approximations ◽  
Moment Closure Approximations

scholarly journals Moment-closure approximations for discrete adaptive networks

2014 ◽  
Vol 267 ◽  
pp. 68-80 ◽  
Author(s):  
G. Demirel ◽  
F. Vazquez ◽  
G.A. Böhme ◽  
T. Gross
Keyword(s):  
Moment Closure ◽  
Adaptive Networks ◽  
Closure Approximations ◽  
Moment Closure Approximations

scholarly journals Diagnostics for assessing the linear noise and moment closure approximations

2016 ◽  
Vol 15 (5) ◽  
Author(s):  
Colin S. Gillespie ◽  
Andrew Golightly
Keyword(s):  
Region Of Interest ◽  
Moment Closure ◽  
Diagnostic Tools ◽  
Approximate Algorithms ◽  
Parameter Region ◽  
Normality Assumption ◽  
Closure Approximations ◽  
Simulation Based ◽  
Space Filling Design ◽  
Moment Closure Approximations

AbstractSolving the chemical master equation exactly is typically not possible, so instead we must rely on simulation based methods. Unfortunately, drawing exact realisations, results in simulating every reaction that occurs. This will preclude the use of exact simulators for models of any realistic size and so approximate algorithms become important. In this paper we describe a general framework for assessing the accuracy of the linear noise and two moment approximations. By constructing an efficient space filling design over the parameter region of interest, we present a number of useful diagnostic tools that aids modellers in assessing whether the approximation is suitable. In particular, we leverage the normality assumption of the linear noise and moment closure approximations.

scholarly journals From Markovian to pairwise epidemic models and the performance of moment closure approximations

2011 ◽  
Vol 64 (6) ◽  
pp. 1021-1042 ◽  
Author(s):  
Michael Taylor ◽  
Péter L. Simon ◽  
Darren M. Green ◽  
Thomas House ◽  
Istvan Z. Kiss
Keyword(s):  
Epidemic Models ◽  
Moment Closure ◽  
Closure Approximations ◽  
Moment Closure Approximations

Moment closure approximations for stochastic kinetic models with rational rate laws

2011 ◽  
Vol 231 (2) ◽  
pp. 99-104 ◽  
Author(s):  
Peter Milner ◽  
Colin S. Gillespie ◽  
Darren J. Wilkinson
Keyword(s):  
Kinetic Models ◽  
Moment Closure ◽  
Rate Laws ◽  
Closure Approximations ◽  
Moment Closure Approximations
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