Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Adaptive Finite Element Method Assisted by Stochastic Simulation of
  Chemical Systems   Stochastic models of chemical systems are often analysed by solving the
corresponding Fokker-Planck equation which is a drift-diffusion partial
differential equation for the probability distribution function. Efficient
numerical solution of the Fokker-Planck equation requires adaptive mesh
refinements. In this paper, we present a mesh refinement approach which makes
use of a stochastic simulation of the underlying chemical system. By observing
the stochastic trajectory for a relatively short amount of time, the areas of
the state space with non-negligible probability density are identified. By
refining the finite element mesh in these areas, and coarsening elsewhere, a
suitable mesh is constructed and used for the computation of the probability
density.

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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: physics
31
The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: eess