Talk:Geometric integrator

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Mathematics rating:	Start Class	Mid Priority	Field: Applied mathematics
Please update this rating as the article progresses, or if the rating is inaccurate. Click to show/hide comments. Please add to or update the comments to suggest improvements to the article. Article only talks about symplectic integrators, but geometric integration is more: preservation of symmetries, reversibility, first integrals, volume, etc. -- Jitse Niesen (talk) 13:34, 2 August 2007 (UTC)

[edit] Constant acceleration

This page seems a little misleading. The reason that the midpoint rule gives an accurate answer is that the acceleration is constant. The midpoint is actually the analytical solution when the acceleration is constant. However, this is not generally applicable to systems where the acceleration is not constant. Mattopia 11:37, 19 October 2006 (UTC)

What makes you think that the acceleration is constant? Isn't acceleration = q'' = −sin q. -- Jitse Niesen (talk) 12:30, 19 October 2006 (UTC)

OK, I see my mistake. The article states that the acceleration due to gravity is g=1, but actually the acceleration itself is not constant. (OK, so its a simple pendulum and it should be obvious...I guess I didn't look hard enough). Mattopia 16:05, 19 October 2006 (UTC)