Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A temporally adaptive hybridized discontinuous Galerkin method for
  time-dependent compressible flows   The potential of the hybridized discontinuous Galerkin (HDG) method has been
recognized for the computation of stationary flows. Extending the method to
time-dependent problems can, e.g., be done by backward difference formulae
(BDF) or diagonally implicit Runge-Kutta (DIRK) methods. In this work, we
investigate the use of embedded DIRK methods in an HDG solver, including the
use of adaptive time-step control. Numerical results demonstrate the
performance of the method for both linear and nonlinear (systems of)
time-dependent convection-diffusion equations.

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The categories of this paper are: stat
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: hep-th
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The categories of this paper are: q-alg
3
The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: comp-gas