Figure 13 The maximum absolute error for Example 4.2. Figure 14 The order error of (pmb{u_{m}(x)}), (pmb{m=2,3,ldots,11}), for the Example 4.2.
If Monte Carlo estimates of the forward and adjoint fluxes are used, each having global "first-order" errors of O(1/N), where N is the number of histories used in the Monte Carlo simulation, then the statistical error in the VVR estimation of k will in principle be O(1/N).
Since the heat map reflects the relationship of recombination between markers from one single linkage group, thus it was used to find potential ordering errors of markers.
Unfortunately, this approximation introduces a first-order error of the geometric type in the solution process.
With a first-order error of 5% and a power of 80% a sample size of 59 sessions was needed in each treatment group.
Second-order convergence of the error in resonant frequencies is achieved by guaranteeing first-order error on dielectric boundaries and second-order error in bulk (possibly anisotropic) regions.
The asymptotic technique enables us to analyze the structure of the leading order errors and the accuracy of numerically derived quantities, such as vorticity.
However, only one marker was aligned to inappropriate chromosome and 112 markers revealed significant order errors, proving the practicability of the approach.
We prove the well-posedness and the optimal order error estimates of the proposed procedure for a sufficiently smooth solution.
Furthermore, we discuss the derivation of the order of errors of suggested approximation for the given distribution.
Fitted line reflects a locally linear nonparameteric estimate of order, error bars reflect conditional MSE estimates.
