The phrase "are evaluated with numerical" is not correct as it is incomplete and lacks a noun to clarify what is being evaluated.
You can use it in contexts where you are discussing methods or processes that involve numerical evaluation, but it needs to be part of a complete sentence.
Example: "The results of the experiments are evaluated with numerical methods to ensure accuracy."
Alternatives: "are assessed using numerical" or "are analyzed with numerical".
The effectiveness of the GA approach is evaluated with numerical examples.
The above integral can be evaluated with numerical calculation software, e.g., Matlab (2009a), Mathematica, etc. Figures 3, 4, and 5 show the variation of system BER (averaged over the two users) with γs for 4QAM, 16QAM, and 64QAM, respectively.
The influence of the sensor signal noise and the deviation of contact point location as well as unintended wrenching of the handle to the calibration accuracy were evaluated with numerical simulations in MATLAB.
Patient'comfort was evaluated with numerical 0-3 scales for fatigue, quality of sleep, state of mood, social function and activity.
The experimental results of Critchfield and Rochelle (1987) are evaluated with the numerical model.
The experimental results of Savage (1984, Faraday Discuss. Chem. Soc.77, 17 31) are evaluated with the numerical model.
Second, these conditions are evaluated with a numerical model of the torsional system with clearance nonlinearity, and analytical solutions are verified in terms of the trends observed.
The experimental results of Chakraborty (1986, Chem. Engng Sci.41, 997 1003) and Zioudas and Dadach (1986, Chem. Engng Sci.41, 405 408) on the absorption of Co2 into aqueous solutions of sterically hindered amines are evaluated with the numerical model.
The flowing characteristics in the internal flow duct of the pilot strut are evaluated with the numerical simulation method, results proving that a lower speed zone generates in the internal flow duct in the supersonic combustor and the local equivalence ratio in the low speed zone is suitable for combustion.
Conditions at the liquid interface are modelled using the Clausius-Clapeyron relation and the species profiles are evaluated with a one-dimensional numerical code.
