One flaw in the Euler method is that it does not conserve energy. This is reflected in the failure of the phase space plot to close on it's self (this is a good time to do problem one)! A method that does conserve energy is the Verlet method
%0 Computer Program %A Gass, Richard %D January 1, 2008 %T The Verlet Algorithm %8 January 1, 2008 %U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=8666&DocID=1073
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