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We present a domain decomposition approach for the computation of the electromagnetic field within periodic structures.
The model is based on an additive decomposition of the state potential for the computation of composite macroscopic behaviour.
Some paper works interested in the problem of computing the average consensus in a distributed fashion on random geometric graphs they describe a new algorithm called Multi-scale Gossip which employs a hierarchical decomposition of the graph to partition the computation into tractable sub-problems [15].
Table 1 contains the breakdown of the processing times showing that the FFT computations used to perform directional filtering and the convolution part of the à trous algorithm used for pyramidal image decomposition and reconstruction take around 75% of the computation time.
The width of this tree decomposition is 2. Note that the computation of an optimal tree decomposition (w.r.t. width) is known to be an NP-complete problem [119].
In matrix computations, a decomposition of the structure tensor into rank-1 terms gives an explicit algorithm for solving the problem, its tensor rank gives the speed of the fastest possible algorithm, and its nuclear norm gives the numerical stability of the stablest algorithm.
relaxation parameters such as NOEF, T1 and T1π are computed for polycarbonate and polydimethylsiloxane using the new series and the results compared to experiment and to earlier computations which employed a decomposition of the KWW function into a sum of exponential terms.
Indeed, the spectral decomposition of the codon probability matrix (i.e. model) as well as the computation of its powers is considerably slower than for a nucleotide model.
Computation of C LZ thus involves a decomposition of the text into repeated blocks, and an application to the discovery of structural regularities in genetic 'texts' was realized by Gusev et al. [ 15].
A typical example is the computation of elementary flux modes at the genome-scale, requiring modular decomposition of the networks (Schuster et al. 2002).
This study shows that the decomposition of the source function has a great effect on the amount of computations and the acceleration of the convergence of the solution.
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