Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Variational Formulation of E & M Particle Simulation Algorithms in
  Cylindrical Geometry using an Angular Modal Decomposition   Taking advantage of the flexibility of the variational method with coordinate
transformations, we derive a self-consistent set of equations of motion from a
discretized Lagrangian to study kinetic plasmas using a Fourier decomposed
cylindrical coordinate system. The phase-space distribution function was
reduced to a collection of finite-sized macro-particles of arbitrary shape
moving on a virtual Cartesian grid. However, the discretization of field
quantities was performed in cylindrical coordinates and decomposed into a
truncated Fourier series in angle. A straightforward finite element
interpolation scheme is used to transform between the two grids. The equations
of motion were then obtained by demanding the action be stationary. The primary
advantage of the variational approach is preservation of Lagrangian symmetries.
In the present case, this leads to exact energy conservation, thus avoiding
possible difficulties with grid heating.

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The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: cs
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an