Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetric Partitioned Runge-Kutta Methods for Differential Equations on
  Lie Groups   In this paper, we develop a higher order symmetric partitioned Runge-Kutta
method for a coupled system of differential equations on Lie groups. We start
with a discussion on partitioned Runge-Kutta methods on Lie groups of arbitrary
order. As symmetry is not met for higher orders, we generalize the method to a
symmetric partitioned Runge-Kutta (SPRK) scheme. Furthermore, we derive a set
of coefficients for convergence order 4. The SPRK integration method can be
used, for example, in simulations of quantum field theories. Finally, we
compare the new SPRK scheme numerically with the St\"ormer-Verlet scheme, one
of the state-of-the-art schemes used in this subject.

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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: q-fin
14
The categories of this paper are: math-ph