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However, this error is almost exclusively due to the linear variation approximation employed to obtain curve d.
The key idea of layerwise theories is to distinguish and separate the functions of approximation employed in the in-plane and out-of-plane directions.
Though quite simple, the model allows recovering some physical key aspect, on the fluid/structure interaction, thanks to the quasi-steady aerodynamic approximation employed.
While such an initial result is encouraging, the overall quality of the approximation employed should be more thoroughly assessed by comparing the values of the exact confining potential, U X,Y), at arbitrary points (x,y to the corresponding values obtained from the approximated circular confining potential, U D ( r = x 2 + y 2, R = L / Π ) Open image in new window, at that location.
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The optical absorption spectra were calculated under the electric-dipole approximation employing the Lorenzian line shape.
A statistical perspective of value function approximation employs a design and analysis of computer experiments (DACE) approach, where the "computer experiment" yields points on the value function curve.
A nonlinear-mapping approximation, employing a PWL approximation, is also an integral part of the control scheme, and thus removes the need for output-function invertibility.
These outcomes provide greater confidence that the approximations employed in the hindcast model are valid.
Despite its empirical success, many modeling approximations employed in the derivation of the often-used stagnant film model seem to limit the model's applicability to real systems.
The predicted efficiency is in reasonably good agreement with experimental data from the literature and, hence, served to validate the physics models and approximations employed.
In this work, in contrast to second-order approximations employed in these two papers, we compute numerical solutions for bonds and European bond options which exhibit fourth-order convergence.
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