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Using numerical procedures, breakthrough curves are calculated as a function of one diffusional and one equilibrium parameter for systems obeying equilibrium isotherms concave to the gas concentration axis.
The main features of the wave propagation have been found using numerical procedures based on the Finite Element Method, through the application of the Bloch's theorem for the corresponding primitive unit cells.
Optimization using numerical procedures evidently precludes any explicit mathematical representation of uncertainty.
One critical point in using numerical procedures such as the FEM is providing a mesh where the size of the elements is small enough to resolve the pressure field as accurate as necessary and, concurrently, minimise the calculation time.
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The developed user friendly dialogue and used numerical procedures makes the "OPT-PROx" software useful to food scientists in research and education, as well as to engineers involved in optimization of thermal food processing.
Hence in those cases, where it is tedious to check the condition D ″ u n ) theoretically, we can use numerical procedures to measure ratio of number of consecutive exceedances to number of exceedances and the ratio of number of upcrossings to number of consecutive exceedances in small intervals.
This new reliable 3D cochlear model demonstrates the basis for further numerical simulations using mathematical procedures, such as the finite element or finite volume method.
We illustrate the proposed procedure using numerical and real life examples.
In most of the applications, springback is determined either by trial and error procedures or by using numerical methods.
The procedure is also tested using numerical examples.
Due to its features, the final resolving system can be solved with the classical approaches by using standard numerical procedures.
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