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The numerical examples illustrate that the proposed method yields approximations of high accuracy.
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In higher-order schemes and for finite mode truncations, the method yields better approximations to the real problem [13].
It is found that the second approximation of the harmonic balance method yields good results which are in excellent agreement with the exact solution.
Our method yields several improvements.
Furthermore, for the parameters that did not hit the bounds, we found that the FSDs obtained via the Monte Carlo method yielded values similar to those obtained by the Jacobian approximation of the metabolic model.
This method yielded 98.7 % accuracy.
This method yielded 9163 triplets.
Pi can be produced by various simple methods of rational approximation, and those methods yield the same digits in a fixed order forever.
The spectral transform method, which yields high-order approximations, requires Legendre transforms, which have a computational complexity of O N3), where N is the number of subintervals in one dimension.
2) The moment-based approach, from which the functions of mean, variance and covariance are usually derived, is an approximation method that yields a closed ODE system for the moments.
Both methods yield similar results.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com