Point cloud discretization of Fokker-Planck operators for committor functions
Abstract
The committor functions provide useful information to the understanding of transitions
of a stochastic system between disjoint regions in phase space. In this work, we develop
a point cloud discretization for Fokker-Planck operators to numerically calculate
the committor function, with the assumption that the transition occurs on an intrinsically
low-dimensional manifold in the ambient potentially high dimensional configurational
space of the stochastic system. Numerical examples on model systems validate the effectiveness
of the proposed method.
Type
Journal articlePermalink
https://hdl.handle.net/10161/14056Collections
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Show full item recordScholars@Duke
Jianfeng Lu
Professor of Mathematics
Jianfeng Lu is an applied mathematician interested in mathematical analysis and algorithm
development for problems from computational physics, theoretical chemistry, materials
science and other related fields.More specifically, his current research focuses include:Electronic
structure and many body problems; quantum molecular dynamics; multiscale modeling
and analysis; rare events and sampling techniques.

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