The phrase "analysis of the approximation" is correct and usable in written English.
It can be used in contexts where you are discussing the evaluation or examination of an estimated value or method.
Example: "The analysis of the approximation revealed significant discrepancies between the predicted and actual results."
Alternatives: "evaluation of the estimate" or "examination of the approximation".
Detailed analysis of the approximation characteristics of several lumping sequences has resulted in two approximate guidelines for given initial and final model sizes: Small lump size where input parameters are located, and as uniform lump size for the remaining stages as possible.
The numerical analysis of the approximation provides criteria for stability and convergence.
We provide theoretical analysis of the approximation behavior and also design convergence guaranteed numerical algorithms based on Bregman iteration.
We call our mapping algorithm ApproxMap, because the project involves an analysis of the approximation between the sets representing the bnodes.
Moreover a parametric analysis of the approximation induced by the explicit algorithm, as a result of the truncation order in the calculation of the series expansion, is carried out.
Using an exact and an asymptotic solution describing the nontrivial three-dimensional fluid flow generated by a slender precessing spheroid, we present a careful analysis of the approximation of the flow using the method of regularized Stokeslets, where the regularized Stokeslets are placed along the centerline of the spheroid.
This validates our analytical analysis on the approximation of the CFO sum-correlation function to the case without CFO when the CFO goes to zero.
An error analysis of the approximations used is included.
Statistical analysis of the approximations in terms of mean relative error, maximum positive relative error, maximum negative relative error and correlation quotient are presented.
The CCM still adds another source of error in the data analysis, because of the approximation taken in the calculation of dC/da, which is performed by taking the derivative of the C = f(a) curve after fitting cubic polynomials [24].
Since the theoretical analysis of this approximation cannot be shown in this paper, this will be a future work of our study.
