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What's the state of the art for n-body force algorithms?
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Does anyone know what algorithms they use now for this problem? For example, if you have n bodies, you need to calculate each body's repulsion to each n other bodies -- leading to an o(n2) complexity for each round of calculations.

What's the state of the art for this kind of stuff? Or do people just use GPUs to speed this up these days?

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13 years ago