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Longer and less predictable procedures generate greater OR idle time, for a given tolerance of schedule over-runs.
Firstly, for a given tolerance on the error of the evaluation, it needs to investigate fewer planes on average, thereby reducing the execution time compared to state of the art methods.
A technique to approximate a specific degree of mode on patches by a set of locally orthogonal patterns is explored for three widely used holograms, such as planar, cylindrical and spherical holograms, which results in an automatic determinations of the number and position of experimental setup for a given tolerance.
for a given tolerance ε>0, the QP iterations will terminate after finitely many iterations.
We investigate now the efficiency of any agreement point chosen by the players for a given tolerance index.
For a given tolerance ε > 0, the iterations will therefore terminate after finitely many iterations under the stopping criterion begin{array}{*{20}l} left|left({mathcal P}_{1}(mathbf{V}^{ kappa+1)},mathbf{t}^{ kappa+1)})- {mathcal P}(mathbf{V}^{ kappa },mathbf{t}^{ kappa)})right)/{mathcal P}(mathbf{V}^{ kappa },mathbf{t}^{ kappa)})right| leq epsilon.
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If, where is a given tolerance, then stop.
Figure 4 Comparison of (a) the error with a given tolerances (mathit{tol}=1text{e--}8) and (b) errors versus CPU-times for given tolerances from (1text{e--}5) to (1text{e--}10).
In order to obtain an adequate value for K p, a simple strategy [43, 80] consists in starting with a quite small value of K p =K p0 and solving a series of problems with increasing K p. The process is stopped as soon as ∥c(x t))∥<ε c, for every t∈[0,t f ], for some given tolerance ε c >0.
Our approach has the advantage of requiring a small pre-computation time even for very large systems, and uses the minimal number of coefficients to represent the far-field, for a given L2 tolerance error in the approximation.
Studies of the asymptotic behavior show that, for a given error tolerance, the new hybrid algorithm requires much less computer time than the stand-alone particle-mesh method (for this piloted-jet flame test case a factor of 20 times less).
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