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Checking the Results of NDSolve

• To: mathgroup at smc.vnet.net
• Subject: [mg37243] Checking the Results of NDSolve
• From: steger at uni-greifswald.de (Thomas Steger)
• Date: Fri, 18 Oct 2002 05:17:10 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

I use NDSolve to approximate a 6-dimensional and highly non-linear
dynamic system numerically.

QUESTION: What are usual (and simple) techniques to check the
reliability of the resulting numerical solution?

So far I tried to use another solution algorithm by switching the
Option "Method" from "Method->Automatic" to "Method->RungeKutta".
Apart from numerical differences, the solution qualitatively remained
unaffected (I am mainly interested in the qualitative characteristics
of the solution).

I would be grateful for any hint!