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Inspired by some intriguing examples, we study uniform association schemes and uniform coherent configurations, including cometric Q-antipodal association schemes.
As examples, we study diffusion and flow in stratified and macroscopically heterogeneous porous media and flow through periodic arrays of obstacles.
In the examples, we study the influence of local and global (boundary) drainage conditions, and the internal friction angle to the failure mechanisms.
In the numerical examples, we study the convergence properties of the proposed DG scheme and provide experiments where the numerical accuracy of the scheme under consideration is compared to analytic and other numerical solutions.
For the representative examples we study, the differences can be so large as to have complete dissolution of the CO2 plume versus persistence of over 50% of the plume over a 5000-year period.
However, proper infiniteness and algebraic non-amenability coincide for the two main classes of examples we study.
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As a more concrete example, we study how to estimate the ℋ∞ norm of a system.
With this example, we study somesthesia which is the sensations set perceived within muscles and ligaments.
As an example, we study the neural activity in dorsal hippocampus as a mouse runs along a virtual linear track.
Using the benchmark thermal challenge problem as an example, we study several possible model updating formulations using the proposed methodology.
As an example, we study the QSW on a line and the glued tree of depth three to observe the behavior of the QW-to-CRW transition.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com