The phrase "are approximated using a" is correct and usable in written English.
You can use it when discussing methods or techniques that involve estimating or calculating values based on a specific approach or tool.
Example: "The results of the experiment are approximated using a statistical model to ensure accuracy."
Alternatives: "are estimated with a" or "are calculated through a".
The spatial domain, 0≤ x≤ L x, is discretised uniformly with grid spacing δ x, and the spatial derivatives are approximated using a central-difference approximation [ 40].
Furthermore, in past work the necessary third order derivatives are approximated using a finite different approach.
Away from the curve, the original subdivision surfaces are approximated using a multi-resolution scheme based on quasi-interpolation.
Interfacial stresses and strains are approximated using a combination of exact elasticity solutions and elementary strength of materials theories.
Production variations over the horizon are approximated using a sequence of periods, each corresponding to a production season, while the intra-period variations are neglected.
The continuous equations are approximated using a finite volume discretisation on staggered grids with a flux-limited monotonic scheme for the advective terms.
The equations governing the flow past a rotating blade are approximated using an order of magnitude analysis on the spanwise derivatives.
Similar to the implementation given in the original paper, the driving input function was approximated by a spline interpolant, while the delay was approximated using a linear chain approximation (x5,…, x13).
Similar to the implementation given in the original article, the driving input function was approximated by a spline interpolant, while the delay was approximated using a linear chain approximation.
Each scale variable is approximated using a meshfree method.
The POF is approximated using a quintic polynomial.
