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The Barnes–Hut simulation is an approximation algorithm for performing an n-body simulation. It is notable for having order O compared to a direct-sum algorithm which would be O.
The simulation volume is usually divided up into cubic cells via an octree , so that only particles from nearby cells need to be treated individually, and particles in distant cells can be treated as a single large particle centered at the cell's center of mass. This can dramatically reduce the number of particle pair interactions that must be computed.
Some of the most demanding high-performance computing projects do computational astrophysics using the Barnes–Hut treecode algorithm,such as DEGIMA.
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