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Benefiting from this sampling method, the approximation of fusion results is obtained through random particles.
With combining collocation method, the approximation technique is applied to solve fractional initial-value problems (FIVPs).
Since, due to the Galerkin method, the approximation of f is not defined on the boundary of the cells, we must introduce a numerical flux, that furnishes reasonable values of f on every (partial C_{alpha}), depending on the values of the approximation of f in the nearest neighborhoods of the cell (C_{alpha}) and on the sign of (mathbf{E} cdot mathbf{n}).
end{aligned} (8 According to the RBF collocation method, the approximation of the unknown function u(x) may be written as a linear combination of MQ-RBF radial basis functions and the monomial basis for the vector space (mathbb {P}_1^{m-1}).
In the zero forcing method, regardless of the noise variance, equalization is obtained by dividing the received OFDM symbol by the estimated channel frequency response; while in the MMSE method, the approximation is chosen such that the MSE of the transmitted data vector E ∥ X − X ̂ ∥ 2 is minimized, which introduces the noise variance in the equations.
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When using direct summation, this is solely due to round-off errors, while for approximate methods the approximation error should dominate round-off.
Different from the traditional methods, the approximation errors are not discarded but formulated as low-order polynomial terms with norm-bounded coefficients.
Unlike the traditional function approximation methods, the current method constructs the approximation using one sample at a time.
The method generalizes the approximation for the system in one dimension given in [S.
This paper deals with a general deterministic particle method for the approximation of transport-diffusion equations.
Hermeline, A finite volume method for the approximation of diffusion operators on distorted meshes, J. Comput.
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