Figure 4: Semi-discrete spectrum for the advection equation and freezing boundary conditions
[Eqs. (10.1, 10.2, 10.3], a Chebyshev collocation method, and numerical injection of the boundary
condition. The number of collocation points is (from left to right) . The scheme passes
the von Neumann condition (no positive real component in the spectrum). In fact, as discussed in
the body of the text, the method can be shown to actually be numerically stable.
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