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Stetter developed the theory proposed by Corless et al. and presented a more general numerical method [24].
First, analytical calculations are performed for such ribbed plates after which the results are compared to a more general numerical procedure.
Here, we prove a numerical radius equality for a special (5times5) tridiagonal operator matrix and then we prove a more general numerical radius inequality for the general (5times5) tridiagonal operator matrix.
In conclusion, a possible numerical advantage for fact retrieval was reduced by more general numerical deficits, which prevented a flexible use of back-up strategies for retrieving arithmetic facts.
More generally, we argue that substantially better computational performance can be achieved by exploiting characteristics specific to the problem domain; elements of our methods such as the error estimation could find broader use in other, more general numerical algorithms.
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In parallel, we apply a more general discrete numerical bundle model covering the cases of finite number of fibers and spatial variations of material properties.
For the purpose of comparison and more general studies, a numerical approach was also introduced.
Under these conditions the VD equations are solvable in closed form; for the more general case considered here, a numerical solution is needed.
To further demonstrate the efficacy of dimension expansion in more general cases, we resort to numerical simulations in the following section.
In this case, more general approaches based directly on numerical solution of the differential equations should be used [ 13, 15].
We provide closed-form solutions for the soft-limiter PA model and numerical results for more general PA models.
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