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The Bifurcation Analyzer uses the same numerical continuation code as the Implicit Solver, but it is expanded with routines for the evaluation of bifurcation functions and calculating eigenvectors.
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Further, a parametric study was performed using the same numerical model.
Using the same numerical method, the system stability is also analysed with the trajectories in phase plane.
We subject both methods to a pair of benchmark test cases while using the same numerical meshes to examine a) the accuracy of curvature representation, b) the effect of tuning parameters, c) the ability to minimise spurious velocities and d) the ability to tackle fluids with very different densities.
Using the same numerical properties of the rescaled elasticities, it can also be shown that the denominator must be positive.
The difference operation between seasonal forecast and the monthly average of atmospheric forecast over a set of years in the past (the "climatology") eliminates this tendency, using the same numerical model, region and period of integration.
In order to confirm the effect of the interaction between Nankai Trough earthquakes and Hyuga-nada earthquakes on the entire Nankai Trough earthquake cycle, with a model plate interface extending from Kyushu to the Tokai area, we use the same numerical simulation procedure of Nakata et al. (2014).
We use the same numerical labels as above, except now drug status is indicated by numerical index 4.
Packages that use the same numerical techniques are expected to yield the same results, but results can differ if different numerical techniques are used.
Using the same numerical values for Ca2+ influx, efflux, buffering and diffusion, we have modelled two cases; one of a smooth spherical cell surface, and the other for a more realistic topology with a "wrinkled" surface.
When we compared numerical responses to both survey items, however, we found that participants typically used the same numerical rating for think is likely to occur as they used for the question immediately preceding it (e.g. a high number if it followed a question containing hope; a low number if it followed a question containing realistically expect).
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