Complexity Reduction in Many Particle Systems with Random Initial Data

@article{Berlyand2016ComplexityRI,
title={Complexity Reduction in Many Particle Systems with Random Initial Data},
author={L. Berlyand and P. Jabin and M. Potomkin},
journal={SIAM/ASA J. Uncertain. Quantification},
year={2016},
volume={4},
pages={446-474}
}

We consider the motion of interacting particles governed by a coupled system of ODEs with random initial conditions. Direct computations for such systems are prohibitively expensive due to a very large number of particles and randomness requiring many realizations in their locations in the presence of strong interactions. While there are several approaches that address the above difficulties, none addresses all three simultaneously. Our goal is to develop such a computational approach in order… Expand