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The phrase "a consistent approximation of" is correct and usable in written English.
You can use it when discussing a reliable or stable estimate or representation of something, often in mathematical, scientific, or analytical contexts.
Example: "The model provides a consistent approximation of the actual data trends over time."
Alternatives: "a reliable estimate of" or "a stable representation of".
Exact(7)
Scientists have determined that by counting how often it chirps in 15 seconds and adding 40, a consistent approximation of the temperature in degrees Fahrenheit can be obtained.
(iii) With a consistent approximation of the Hamiltonian, we obtain finite-dimensional port-Hamiltonian state space models.
This discretization, which is the key to the Asymptotic-Preserving property, provides a consistent approximation of both the hyperbolic compressible regime and the elliptic incompressible regime.
This scheme gives rise to both a consistent approximation of the Euler Lorentz model when ε is finite and a consistent approximation of the drift limit when ε→0. Above all, it does not require any constraint on the space and time-steps related to the small value of ε.
This procedure, combined with a consistent approximation of the geometric quantities, is done to satisfy the discretized mass conservation equation to machine accuracy, as well as to gain the favorable convergence properties of the Poisson solver.
The algorithm uses a mixture type of the model equations written in a quasi-conservative form to ensure a consistent approximation of the energy equation near the interfaces where two or more fluid components are present in a grid cell.
Similar(53)
This is thought to be a desirable property, although only in the case of linear systems is it sufficient for convergence of a consistent approximation to the true solution.
We discuss some remaining inconsistencies in the approximation of the surfzone momentum balance, derive and present a consistent approximation, and validate the new approximation through numerical comparison to a more exact model.
Likewise, Schloss and Handelsman [15] also found evidence that a truncated lognormal distribution provided the most consistent approximation of the microbial community in an Alaskan soil.
We are promoting the use of variational principles as some generalizing idea that allows us to create consistent approximations of mathematical models.
In this paper, we propose to use SMC methods to obtain consistent approximations of smoothing expectations of POD processes by extending the PaRIS algorithm.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com