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The phrase 'method used here' is correct and usable in written English.
You can use it any time you need to refer to a method or system that you have already described. For example: "The method used here is an efficient way to complete the task."
Exact(59)
Further, the method used here permits us to relax the restrictions usually imposed on the coefficients of equation (1.1).
The method used here is particularly useful for SEA applications, the stresses being normalized to unit power input.
I feel strongly, however, that the improvisational method used here, and in many other low-budget films, is more a handicap than a strength.
The integrator method used here is the Velocity-Verlet method.
The method used here can be applied successfully to a large class of fractional differential equations.
This numerical method is a non-isothermal extension of the numerical method used here.
We point out the method used here is different from that in [15].
The main method used here is the following fixed-point theorem of a cone mapping.
The method used here is more straightforward than that used to obtain the previous results.
The DFT method used here is based on hybrid B3LYP functional.
The clustering method used here is the K-means clustering technique.
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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