Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An integral equation-based numerical solver for Taylor states in
  toroidal geometries   We develop an algorithm for the numerical calculation of Taylor states in
toroidal and toroidal shell geometries using an analytical framework developed
for the solution to the time-harmonic Maxwell equations. Taylor states are a
special case of what are known as Beltrami fields, or linear force-free fields.
The scheme of this work relies on the generalized Debye source representation
of Maxwell fields and an integral representation of Beltrami fields which
immediately yields a well-conditioned second-kind integral equation. This
integral equation has a unique solution whenever the Beltrami parameter
$\lambda$ is not a member of a discrete, countable set of resonances which
physically correspond to spontaneous symmetry breaking. Several numerical
examples relevant to magnetohydrodynamic equilibria calculations are provided.
Lastly, our approach easily generalizes to arbitrary geometries, both bounded
and unbounded, and of varying genus.

1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
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The categories of this paper are: eess
31
The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga