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Exact(19)
Moreover, since the method involves neither volume decomposition nor symbolic computations, it is much easier for computer implementation.
It is worth to emphasize that at a given iteration of the algorithm (Step 1-Step 2) exactly one new value of l is computed and to proceed on with computations it is sufficient to know only the last simplex; there is no need to remember the earlier stages in the course of the algorithm.
For numerical computations, it is so ideal to use HPC (High-performance computing).
In computations, it is now common to surround artificial boundaries of a computational domain with a perfectly matched layer (PML) of finite thickness in order to prevent artificially reflected waves from contaminating a numerical simulation.
For many computations it is simpler to work directly with the representation (8).
For numerical computations, it is necessary to truncate the infinite summation to a finite number of terms.
Similar(41)
Important phenomena are observed in all computations: It was found that for large values of time the coupled and the generalized give close results.
Through comparisons with experimental data and equilibrium computations it was found that the flow-field is sensitive to the scalar inflow composition, and scalar boundary conditions consistent with experimental measurements were used for all simulations.
Through a careful computation, it is easy to obtain the following remark, so we omit its proof.
By a careful computation it is easy to obtain that (3.34).
(3) By assumptions [H1.2], [H1.3], and elementary computation, it is easy to obtain the result.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com