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I have been working with Mathematica 7 and 8 to numerically solve partial differential equations by MethodOfLines of NDSolve. Since our organization upgraded to version 9, the calculations lose stability and diverge after a rather short time. (With earlier versions, there was also a divergence but at a 100 times longer time which did not bother us.) The problem persists on several computers, some running with Windows and others running Linux.

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First step: edit your question to include your PDEs demonstrating the instability you speak of. –  J. M. Apr 12 '13 at 15:45
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