The phrase "approximation is implemented in" is correct and usable in written English.
It can be used in contexts where you are discussing how an approximation method or technique is applied within a specific system, model, or process.
Example: "The approximation is implemented in the algorithm to enhance computational efficiency."
Alternatives: "approximation is applied in" or "approximation is utilized in".
Our calculations based on dispersion-corrected density functional theory with the local density approximation were implemented in the PWSCF code of the QUANTUM ESPRESSO package.
Instead, an approximation was implemented, in which nodes move on a tight lattice of possible paths, using a shortest path algorithm to reach their destination.
The three transport approximations are implemented in the lattice physics code STREAM, and verification is performed for various verification problems in order to investigate their effects and accuracy.
The successive approximation algorithm is implemented in the capacitance-domain using a coarse-fine programmable capacitor array, which allows digitizing wide capacitance range in compact area.
A GTR+I+gamma model of sequence evolution was used for the final maximum likelihood search, as suggested by the AIC in jModelTest 0.1.1 [ 51], while for rapid bootstrapping (103 replicates) CAT approximation of rate heterogeneity is implemented in RaxML [ 52].
A quantized amplitude approximation with three angular intervals is implemented in VHDL and synthesized with the SYNOPSYS DESIGN COMPILER.
The Euler rule with trapezoidal approximation, used to calculate drifting paths, is implemented in JeoSim in discrete events fashion in order to simulate the path and movement of seaweeds.
This procedure is implemented in the computer program Strata [6] and requires of empirical approximations and an iterative scheme to converge.
The approach is implemented in the in-house computational cardiac mechanics toolbox SESKA which supports finite element as well as Element-free Galerkin-based approximations.
