Exact(1)
When applied to the smallest of the models treated here, the wall clock computation time was about 15 hours in contrast to wall clock computation times of less than a minute for the methods compared here.
Similar(59)
As we are interested only in models that best satisfy the restraints, we select the very small fraction of the models representing the very best scoring solutions.
As we are interested only in models that best satisfy the restraints, we select a small fraction of the models representing the very best scoring solutions.
These trends agree with results for the small-scale version of the model shown in Figure 2(b).
Obviously, our design operates very reliably in the presence of a small perturbation of the model parameters.
Figure 10 shows a snapshot of a small part of the model, rendered with the "mental image RealityServer".
The straightforward approach would be to solve 2M + 1 forward problems for small perturbations of the model m into each direction in the model space.
Quite interestingly, the difference between using only gasoline or using only ethanol is small, regardless of the model we assume for price diffusion.
Due to the small size of the model compound, this effect does not impact its observed conversion since premature termination still affords a quantifiable low molecular weight product.
When we approximated the nonlinearites with fourth order polynomials, we restricted them to a smaller portion of the model space.
Because of the large number of equations and inputs, we used a smaller version of the model to determine the most influential inputs.
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