Stability analysis on a non-uniform grid -- CFD Online Discussion Forums

July 1, 1999, 07:21	Stability analysis on a non-uniform grid	#1
PRAVEEN CHANDRASHEKAR Guest Posts: n/a	I have been trying to perform some stability analysis of numerical schemes applied to the linear scalar convection equation on a non-uniform grid. Can we apply the conventional Von Neumann stability analysis for this case? In the case of a uniform grid, we can express the solution in terms of a Fourier series and study the growth of the Fourier modes. Can we write such a Fourier series on a non-uniform grid? I would also like to know of some references on the same subject.

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