Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Alternating Direction Implicit Method for Two-Dimensional Fokker-Planck
  Equation of Dense Spherical Stellar Systems   The Fokker-Planck (FP) model is one of the commonly used methods for studies
of the dynamical evolution of dense spherical stellar systems such as globular
clusters and galactic nuclei. The FP model is numerically stable in most cases,
but we find that it encounters numerical difficulties rather often when the
effects of tidal shocks are included in two-dimensional (energy and angular
momentum space) version of the FP model or when the initial condition is
extreme (e.g., a very large cluster mass and a small cluster radius). To avoid
such a problem, we have developed a new integration scheme for a
two-dimensional FP equation by adopting an Alternating Direction Implicit (ADI)
method given in the Douglas-Rachford split form. We find that our ADI method
reduces the computing time by a factor of ~2 compared to the fully implicit
method, and resolves problems of numerical instability.

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The categories of this paper are: hep-ph
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The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
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The categories of this paper are: cs
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The categories of this paper are: physics
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The categories of this paper are: bayes-an