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The results show the effectiveness and accuracy of the proposed method by comparison with a Monte Carlo simulation.
Finally, several typical numerical examples are carried out to verify the validity and high efficiency of this multiscale method by comparison with the reference solutions.
Nonlinear numerical examples and complex engineering problems are utilized to demonstrate the effectiveness of the proposed method by comparison with other existing methods.
Then a set of additional simulations are performed in order to evaluate the traditional IDF-based method by comparison with the Monte Carlo one.
Numerical tests were conducted to validate the method by comparison of the results with the time changes of surface temperature and heat flux which were obtained from the computational fluid dynamics (CFD) simulation of the mixing process.
Three mathematical examples, one numerical example and one complex engineering problem, i.e. axially compressed stiffened shells in launch vehicles, are utilized to demonstrate the robustness and efficiency of the proposed method by comparison with other existing methods.
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We also employ numerical examples to evaluate the accuracy of the proposed methods by comparison with other existing methods.
After validating the numerical models and methods by comparison to experimental data, a parameter study is performed to investigate the effect of various geometrical, flow and fluid parameters on the characteristics of drop production, in particular, drop size.
The following section verifies these methods by comparison of numerical results.
Given these many challenges, and the complexity of enzymes, validation of modelling methods by comparison with experiment will be very important.
We evaluate performance of our methods by comparison to existing approaches, and show that our EM method provides the best results over a variety of simulated scenarios.
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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