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The phrase 'approximate solutions' is correct and is used in written English.
You can use it when you are discussing solutions that are not exact but still useful. For example, "We are looking for approximate solutions to this problem so that we can implement them quickly."
Exact(60)
It tells us to go for approximation — more approximate solutions, which find many right answers, but not all right answers.
Einstein made his own early predictions of observable phenomena by using partial and approximate solutions.
Only approximate solutions can be found to this problem, and no completely satisfactory measure is ever possible.
approximate solutions.
Approximate solutions of Eqs.
Compared to approximate solutions Eqs.
Both exact and approximate solutions are derived.
Simulations of the approximate solutions are provided.
We construct the approximate solutions of (1.1).
for approximate solutions of the problem (1).
Step 2. Approximate solutions and uniform estimates.
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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