Numerical Solutions Applied To Heat Transfer And Fluid Mechanics Problems
As an introduction to the subject of advection equations I want to discuss
two more methods for stability analysis. The most important is von
Neumann or Fourier analysis. See the example in vneumann.pdf
and discussion in Roache's text. Another interesting
method was introduced many years ago by Tony Hirt (J. Comp. Phys, Vol
2, p. 339), and is closely related to the error analysis that we've already
done.