Learn English – More formal alternative for “get a handle on sth.”

formalityphrase-requests

In a text I am writing (paper in the sciences), I find I would like to use the phrase “In order to get a handle on this problem, …”, but it seems a little informal.

The intended meaning is “gain a better understanding of the problem, and, if possible, solve it”. (As it turns out, “the problem” is not completely solved in my paper.)

What would be a phrase appropriate for the rather formal context?

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