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"investigated numerically" is a valid phrase that can be used in written English.
It is typically used when discussing numerical analysis or computational methods. For example, "We investigated the system numerically in order to find an optimal solution."
Exact(60)
This effect was investigated numerically.
The problem is also investigated numerically.
Conjugate heat transfer across a hollow block is investigated numerically.
The energy absorption of BI-NCMC has been investigated numerically.
Autoignition of n-heptane droplets under microgravity is investigated numerically.
The effects of expansion chambers are investigated numerically and experimentally.
The effects of wall boundary conditions were investigated numerically.
The dispersion characteristics of the proposed structure were investigated numerically.
The process was investigated numerically and experimentally in this paper.
The properties of the full nonlinear solutions are investigated numerically.
Mold filling of a refrigerator cavity was investigated numerically.
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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