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Could you help me with this question please? Find quasi-modified equation of 2nd order for solution of harmonic oscillator equation with semi-explicit Euler(also called symplectic Euler) scheme.

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Please explain what you mean with the terms in the question, especially "quasi-modified equation" (I can guess, but I never heard it called like that). Also show us what you've done so far and the context in which you learned about modified equations. See meta.math.stackexchange.com/questions/1803/… for more hints (that still applies even if your question is not homework). –  Jitse Niesen May 14 '12 at 8:20

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I got exactly the same question (though in a different language since I'm not studying in the states.) The best resource I could find is http://www.unige.ch/~hairer/poly_geoint/week3.pdf

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