Stability for Nonlinear Numerical Scheme -- CFD Online Discussion Forums

February 1, 2001, 12:34	Stability for Nonlinear Numerical Scheme	#1
Guo Guest Posts: n/a	It is usual for the application of Von Neumann or matrix methods in the stability analysis of a numerical scheme for a linear PDE. But Neuman method can only be used for linear problems. For nonlinear problem, for example Du/Dt = -(1/2)D(uu)/Dx - 32 (Du/Dx)^2+D^2u/Dx^2, Neuman method can not be used. How do we do the stability analysis for this kind of nonliear PDE after disretization, or where can I get reference materials on this issue? Thank you!

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