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It simply permits a more rapid visual assessment of the spatial distribution and quantification of the numerical measurements.
One can argue that if a numerical scheme works well, then its numerical dissipation must have the same qualitative properties as the physical dissipation.
In figure 9, these qualitative expectations are confirmed by a numerical example.
For this, we must rely on the physically-based model equation, and on comparisons with solutions (numerical) of the exact problem.
The ability of this numerical method to consider non-isotropic initial data represents a decided advantage over other approaches.
Note, however, that our numerical bounds frequently get better if multiple edges are replaced by a single equivalent edge.
This approach is numerical in that the boundary is replaced by a polygon.
The results of a numerical study of the spatial growth rate and radiation frequency are presented.
For our present purpose it is enough to ask what quantity the numerical solution is supposed to approximate, at least to a first-order approximation.
The range of applications spans from numerical programming, symbolic computing, computer vision, to telephony and data mining.
The authors motivate their numerical results with symbolic calculations, defining a replication probability that is inversely proportional to plasmid concentration.
As it was mention above, additional theoretical and numerical work is required to clarify this point.
A numerical procedure for finding accessible trajectories on basin boundaries.
At the end of each chapter there are guided suggestions for further reading and a set of numerical/algebraic and computer-based problems.
There have been a limited number of attempts at solving the radial outflow problem, for the case of turbulent flow, by numerical means.
