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The algorithm is based on the Gillespie algorithm (Gillespie, 1977) and the hybrid maximal timestep method (Puchałka and Kierzek, 2004), making it numerically stable and facilitating interrogation of modular models reconstructed at varying levels of detail.
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For the local variable timestep method..
Tracking an invariant along particle paths in a fully eddy active case is shown to be relatively insensitive with regard to choice of interpolation or timestepping method.
This lack of smoothness of the solution near (t=0) results in a decay in the order of the practical performance of familiar timestepping methods for equation (1).
In the case of a single residual evaluation per timestep, the method has zero additional computational cost compared to uncoupled or unidirectionally coupled simulations.
A numerical odd-even mode is suppressed by means of a two-timestep averaging method.
Consequently, for stability the maximum timestep isO(1/N) as compared toO(1/N2) for the standard Chebychev method.
Methods for estimating the volume of individual glomeruli.The Cavalieri and maximal planar area (MPA) methods are commonly used to measure the volume of individual glomeruli.
C this subroutine propagates parameters 1 timestep using Euler's method.
Unlike the finite difference time domain (FDTD) "courant criterion", FETD-Newmark has no limiting timestep above which the method exhibits exponential growth.
Simulations are initialised with a single bacterial population and infectious phage, then integrated forward for T minutes using a 4th order Runge-Kutta method with timestep Δt.
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