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Nevertheless, this research encouraged us to use extrapolated method to fill the gaps in the present soil map of Iran and to apply it as the base map to increase and improve the efficiency of digital soil mapping.
Analytically, this is all that must be found to show higher weak order convergence of the extrapolated method.
To categorise patients who had at least seven total doses of efaproxiral into high- and low-exposure groups, the extrapolated method was used to obtain an associated E-RBC for each individual dose.
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The reason for this is that the extrapolated methods (and even the MPTL and TTTL, in some cases) have very high accuracy (i.e. low bias error).
The extrapolated methods take several times longer to run, but the errors they give are several to hundreds of times lower.
Moreover, the extrapolated methods have consistently lower errors, and in many cases visibly higher-order convergence in the first two moments (the lack of convergence in some of the simulations is discussed in Section Monte Carlo error).
Our extrapolated methods may be useful for researchers in biology and biochemistry, as they are easy to implement and can accurately and quickly simulate discrete stochastic systems that could otherwise be too computationally intensive.
It should be noted that all the extrapolated and double-extrapolated τ-leap times are estimates: the time-consuming part of the extrapolation method is the two (or more) sets of simulations of the original method that must be run; the extrapolation itself is a fast arithmetic operation.
In this study, the bias and LOA of the extrapolated scans worsened proportionally to the distance between slices, both in pigs and humans: this suggests that the extrapolation method is robust to anatomy variations, as already suggested [12 14].
We construct finite element spaces on which we develop fully discrete approximations using extrapolated Crank-Nicolson method.
In this section we construct fully discrete discontinuous Galerkin approximations using extrapolated Crank-Nicolson method and prove the optimal convergence in normed space.
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CEO of Professional Science Editing for Scientists @ prosciediting.com