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Greetings, what are state of art methods for numerical solution of ODEs with discontinuous right side? I'm mostly interested piecewise-smooth right side functions, e.g. sign.

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You may want to ask this question at scicomp.stackexchange.com. –  David Ketcheson Sep 13 '12 at 10:15
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One place to look is the papers of David E. Stewart. The main application area he works in is rigid body dynamics. –  Paul Tupper Sep 14 '12 at 14:47
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