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Moreover, the designed control law is able to shorten the stable time a lot during the process, as the stable time is about 5 s when employing the new scheme, while it is about 20 s for the robust control.
However, unlike diffusive storage cell codes where the stable time step scales with (1/Δx 2, the new equation set developed here represents shallow water wave propagation and so the stability is controlled by the Courant–Freidrichs Lewy condition such that the stable time step instead scales with 1/Δx.
The major reduction in computational time is achieved by the increase in the size of the stable time step and the reduced number of coordinates in the integration phase.
The final example, involving a time explicit computation, shows that it is possible to control the stable time step of the computation for curvilinear meshes through an alternative element deformation measure.
Furthermore, in explicit dynamic analysis, the stable time increment size calculated with the proposed method is found to be an order of magnitude larger than the maximum allowable value for classical cohesive elements.
On high aspect ratio grids, the length scale disparity of the mesh leads to over dissipation in one or more direction, causing mis-prediction of physical quantities and added numerical stiffness which reduces the stable time step by a factor of 1/AR.
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The high-resolution advection method is shown to deliver second-order spatial convergence on mixed element topology meshes, and the implicit advective treatment significantly increases the stable time-step size.
Difference-in-differences analysis is subsequently conducted to compare the bank mergers that occurred during the 2008 financial crisis with those that took place during the stable times in terms of their impact on the acquirer's risk.
The stable time-frequency characteristics of the dynamic feature were determined by selecting the suitable level of wavelet coefficients.
It can be found from Table 2 that the stable times of different researchers thought were variously distributed in the range of several hours to 1 year.
The stability of the considered numerical schemes is investigated and the scheme with the largest stable time step is found.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com