The phrase "approximations were applied" is correct and usable in written English.
You can use it in contexts where you are discussing the use of estimates or rounded values in calculations or analyses.
Example: "In the study, approximations were applied to simplify the complex equations, allowing for a more manageable analysis."
Alternatives: "estimates were utilized" or "rounding was employed."
The combination of the perturbation method and the technique of successive approximations is applied for the solution of the unit cell problems.
Thus, the approximations are applied in two situations in the case of the SIS model where: (1) the death rate is independent of disease status; and (2) the death rate is disease-dependent.
The generalized finite-difference (GFD) method with weighted least squares (WLS) approximation is used to discretize the two-dimensional viscous incompressible Navier Stokes equations at the mesh-free nodes, while standard finite-difference approximations are applied elsewhere.
A set of approximations is applied to the CEI to produce a non-unique simplified EI (SEI), which is in the strict force-flux form needed to guide the formulation of closure relations.
In all these algorithms, a conventional max∗ operator, i.e., defined for n=2 input values, is modified, and for n>2, these approximations are applied recursively n-1 times.
Although shearing is inevitably a 3D operation, 2D approximations are applied in FE simulations due to shorter computation times and better availability of adaptive remeshing techniques to overcome element distortion.
General purpose transcriptome assemblers [ 3– 5] aim at the general goal of identifying all alternative transcripts from a set of RNA-seq reads, but due to the complexity of the problem several simplifications and approximations are applied, as a result they usually fail to identify infrequent transcripts, tend to report several fragments for each gene, or fuse genes that share repeats.
The single scattering approximation was applied in order to consider the effects of an approximately 20 km-thick haze layer above the main cloud deck, which was considered as a reflecting cloud located in the upper atmosphere of the planet.
