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The approximation with two terms is equal to the approximate length of cubic parabola.
The approximation with these multiscale spaces is based on the discontinuous Galerkin finite element method framework.
The approximation with parabolas allows the calculation of each asperity curvature radius, a fundamental quantity for contact mechanics studies.
All approximations are of restricted use and can be applied only for a limited number of reactions and it is desirable to check the approximation with the aid of a numerical solution before it is used for mass transfer calculations.
Based on this we perform unconditionally convergent parameter correction to optimize the approximation with respect to the L2 metric, and thus we make a well-established scattered data fitting technique which has been available before only for B-spline surfaces, applicable to subdivision surfaces.
Theses relations related to the positive void reactivity have been formularized by the approximation with few parameters within several percent respectively as well as the TRU CR, indicating that one of dominating parameters is the ratio of sodium loss to plutonium fissile in the void reactivity at large fast reactors.
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The approximations with the zonal approach do not affect the quality of solution to a great extent.
Certain nodal values of the second-order derivatives are incorporated into the approximations with the help of the integration constants.
On the last two columns of Table 4, the approximations with four and three terms respectively are presented.
with being the approximation obtained with our method, with for and choosing in such a way that (3.6).
To estimate correctly the optimal error given a certain level of statistical uncertainty, one should compare the location of the maximum-likelihood peaks in the numerical approximation with the true location of the peaks.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com