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The phrase "a method described by" is correct and usable in written English.
You can use it when referring to a specific method that has been detailed or explained by a particular source or author.
Example: "In her research paper, she outlines a method described by Smith for analyzing data trends."
Alternatives: "a technique outlined by" or "an approach detailed by".
Exact(60)
The organic matter of the soil was determined by a method described by Jackson (1958).
The total flavonoid content was determined by a method described by Makris et al. [8].
The sediments were digested by a method described by Kouadia and Trefry (1987).
The lime requirement (LR) was determined according to a method described by Shoemaker et al. [27].
Total flavonoids content was determined by using a method described by Sakanaka et al.,[43].
The tannin content was determined by a method described by Nakamura et al. [9].
Water samples were digested by a method described by Asare-Donkor et al. (2015) and Arnold and Lenores (1989).
The weights were computed according to a method described by Tang ([1992], [1994]) and applied by Zhang et al. ([2010]).
MDA stock solution (40 mM) was prepared by hydrolyzing TMP according to a method described by Kikugawa and Beppu [32].
The result is compared with the fractal dimension estimated according to a method described by Neimark and Russ JJ.
To discover if this was the case and quantify the nature of these networks, I employed a method described by Malcolm Gladwell in his book The Tipping Point.
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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