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The MLS method is implemented for the approximation of the shape functions used as basis functions.
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Implementing the new algorithm for the approximation of gradients, we extend the IDC (improved deferred correction) scheme, which was proposed by Traoré et al. [P.
One of the most significant advantages of the present technique is that a fully spectral method was implemented for the time and space variables by using SJ-GR-C and SJ-G-C approximations, respectively.
For the approximation of integrals w.r.t.
The approximation of the critical crack length is performed using the same calibration samples as those used for the approximation of the crack length.
The for loop in lines 2-14 implementhethe approximations of by successively computing vector p j from p j -1.
We also provide a method for implementing an approximation of the regularized inversion of a SV-matrix, under the assumption of having smoothly spatially varying kernels, and enough regularization.
We also have proposed a method for implementing an approximation of the filtering of a SV-matrix regularized inverted, under the assumption of having smoothly varying kernels, and enough regularization.
For mTDT P, the approximation of a weighted χ with weights being the haplotype frequencies was used (Independent random variables: characterization and approximation of a weighted χ distribution).
A sequential optimization approach based on global conservative, convex and separable approximations is implemented for solving the optimization problem.
Testing the probability of shared polymorphisms arising via gene conversion vs. independent mutation utilized the approximation of the hypergeometric distribution (implemented in DNASP; method described in [ 26]).
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