"method with which" is correct and usable in written English.
It is used to introduce the means or process by which something is accomplished, as in this example: "I was impressed by the method with which the scientist conducted the experiment."
Is there a general method with which you approach book design, or is each case different?
A. You should choose a thickening agent according to the method with which you are preparing your gravy or sauce, and whether you plan to reheat it later.
Working with Dr. Max Perutz and others, Dr. Blow helped devise a method with which X-rays could be passed through a crystallized sample of a given protein.
We have developed a cost-effective, simple and reproducible method with which the isolation of ATII cells may be achieved from adult bovine lungs.
Mr. Arenson said that one of the problems has been the restrictive method with which the company finances promotion of the drug.
On Thanksgiving, Fultz also retweeted video of Cowboys wide receiver Amari Cooper imitating the peculiar method with which Fultz had begun shooting free throws.
Parallel computing is a feasible method with which to resolve this problem.
This research focuses on topological optimization method with which greater weight reduction is expected to be achieved.
We designed a surface treatment method with which we achieved substantially high ITO surface work function of over 6.1 eV.
There is a need for an a priori method with which to demonstrate the physical similarities between non-classical bioisosteres.
Despite its ubiquitous use over the past 4 decades, there is no structured, formal method with which to assess polypectomy.
