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Recently a new methodology called optimized approximation algorithm has been proposed in the literature.
Following a brief description of how the DFM method can be applied to the non-linear Bloch equations, two figures of merit designed to evaluate how a DFM optimized approximation compares with the exact solution is provided.
Lemma 2.4 Assume that x ∗, x 1 ∗, x 2 ∗, …, x N ∗ are evaluation functionals in H s ( S q ) and their expressions in H s ( S q ) are u, u 1, …, u N. Together with S N, which is interpolated via the minimal norm along x 1, x 2, …, x N, and z, which is the optimized approximation of u in the span { u 1, u 2, …, u N }, we have | f ( x ) − S N ( x ) | ≤ ∥ u − z ∥ ∥ f − s N ∥ 2. (2.4).
We present a linear reconstruction method that maximizes the axial frequency extent of the combined 2D structured illumination passband along with an empirically optimized approximation to this scheme.
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The novelty of the proposed method is the inclusion of differential evolution algorithm (DE) in the Legendre wavelets method for the optimized approximations of the unknown terms of the Legendre wavelets.
PMIA is a fast heuristic algorithm for the IC model based on trimming influence propagation to a tree structure and fast recursive computation on trees, and it achieves thousand fold speedup comparing to optimized greedy approximation algorithms with a small degradation on influence spread [10] (in this paper, we set a small threshold (theta = 1/1280) to alleviate the degradation).
Numerical results show that the proposed algorithm requires much less computational time to obtain an approximation optimized solution of problem (P) with the same approximation error than the approaches (given by [19, 21]) do.
An optimized low-complexity amplitude approximation and its hardware synthesis results are also studied.
The R-D model parameters extraction mainly includes two steps: linear approximation and optimized extraction.
Taking into account electronic velocity spread, and cavity wall resistivity and basing on single-mode approximation, the optimized design and simulation of beam-wave interaction of a 170 GHz MW corrugated coaxial-gyrotron have be fulfilled.
Our current implementation of the spectral method to study demography with diffusion approximations is optimized to use little memory to tackle more than three populations.
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