The phrase "accuracy and order of" is correct and usable in written English.
It can be used when discussing the precision and organization of information, data, or processes.
Example: "The accuracy and order of the data presented in the report are crucial for making informed decisions."
Alternatives: "precision and organization of" or "correctness and arrangement of".
The MMS implementations provide a quantitative framework to evaluate the impact of these practices on the code's convergence and order-of-accuracy.
Our main interest is in evaluating the relative accuracy and asymptotic order of accuracy of the methods on problems which exhibit an approximate balance between the competing component time scales.
Suppose that a one-step approximation (bar{X}_{t,x}(t+h)) has order of accuracy (p_{1}) for the mathematical expectation of the deviation and order of accuracy (p_{2}) for the mean-square deviation.
Table 5 indicates the error norms and order of accuracy for different stretching parameters λ for problem 2. The value of λ changes from 0.0 to 0.9.
We analyze the accuracy and convergence order of AP-Cloud theoretically, and verify the method using an electrostatic problem of a particle beam with halo.
The resulting monotonicity preserving weighted essentially non-oscillatory (MPWENO) schemes have high phase accuracy and high order of accuracy.
Furthermore, extensive and rigorous numerical validations are carried out over a number of geometries, including a sphere, two proteins and an ion channel, to examine the numerical accuracy and convergence order of the present numerical algorithms.
Moreover, the nonnegativity of the energy density is maintained using a cutoff method which has been known in literature to retain the accuracy and convergence order of finite difference approximation for parabolic equations.
When compared with the commonly used genotype imputation methods, e.g. IMPUTE2 (Howie et al., 2009), DIST was found to be of comparable accuracy and two orders of magnitude more efficient in terms of both running time and memory usage.
It is shown that convergence properties and the accuracy order of the solution are not degraded even on extremely skewed mesh.
