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Barnes-Hut Algorithm
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Summary
The
Barnes-Hut Algorithm
is a method for efficiently approximating the forces in an
N-body Simulation
, reducing the
Computational Complexity
from O(N^2) to O(N log N) by using a
Hierarchical Spatial Decomposition
. It is widely used in
Computational Physics
and
Computer Graphics
for
Simulating large systems of particles
, such as galaxies or
Molecular Dynamics
, where direct computation of
Pairwise interactions
would be prohibitive.
Concepts
N-body Simulation
Hierarchical Spatial Decomposition
Quadtrees
Octrees
Computational Complexity
Force Approximation
Particle Systems
Gravitational Interaction
Molecular Dynamics
N-body Simulations
Treecode
Relevant Degrees
Computational Mathematics 100%
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