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Numerical experiments, performed on some non-trivial test examples, demonstrate the computed rate of convergence matches the theoretical one.
A non-trivial test problem in enforcing coherency of probability estimates in cross-impact analysis highlights the utility of the designed operators.
We demonstrate up to fifth order accuracy in time on a non-trivial test problem, on which we also show that additional subiterations are not required.
To demonstrate the usefulness and the convergence rates of this method, we design a non-trivial test MNCP problem arising in shape-preserving bi-harmonic interpolation and apply our method to this test problem.
The proposed algorithm has been implemented and experimental results show that it performs better than Ritt Wuʼs algorithm in terms of computing time and simplicity of output for a number of non-trivial test examples.
A careful convergence study with resolutions from 20 to 140 points per wavelength provides accurate extrapolated results for this non-trivial test case, which makes it possible to use as a reference problem for scattering codes that model both electric and magnetic losses.
As a non-trivial test case, the phosphate regulatory network of enterobacteria was reconstructed using in silico-generated time-series data sets on wild-type and in silico mutants.
The network serves as a non-trivial test case as the corresponding Petri net contains negative feed-back loops [ 16] which have to be recognized by the reconstruction algorithm.
Although not trivial to test, since it requires the ability to measure such a variability from neurophysiological recordings or perhaps imaging studies, the prediction should in principle be verifiable.
Since forage production estimations in arid rangelands are not trivial, we tested two different methods.
To assess the performance of the scheme we utilize a set of non-trivial velocity test functions which are designed to mimic realistic flow fields.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com