"used the method for" is grammatically correct and can be used in written English.
It is often used to describe the action of using a specific method or approach to achieve a certain result or solve a problem. Example: The students used the scientific method for their experiment and were able to successfully prove their hypothesis.
But it was only after the first few million women had used the method for some years that important but rare side effects began to be reliably documented and accurately measured.
Martha et al. (2010) used the method for landslide detection.
In 2013, Martinez-Maradiaga et al. used the method for absorption refrigeration system to obtain performance calculations that are in agreement with the laws of conservation [9].
Geophysical methods were developed in the early 1900, and are still being used extensively for groundwater investigations by several workers who have also used the method for defining and delineating other structures and pollution.
Some researchers used the method for combining Fourier transform with Laplace transform method (Kumar et al. 2010; Feng 2012), and others have used separation of variables to solve the equations (Min et al. 2004; Wu et al. 2008).
We used the method for FRAP measurements of surface diffusion described in [37].
The police plan to use the method for major crimes like rape and murder as well as more common offenses, like burglary.
For the required is very high, making it difficult to use the method for securing the entire decorrelation period.
This led them to use the method for purposes other than those originally intended.
Moreover, compartmentalization is not considered using the method for determination of intracellular metabolites described above.
For each PPV, we estimated the corresponding 95% confidence intervals (CIs) using the method for binominal proportions.
