Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Efficient implementation of modern entropy stable and kinetic energy
  preserving discontinuous Galerkin methods for conservation laws   Many modern discontinuous Galerkin (DG) methods for conservation laws make
use of summation by parts operators and flux differencing to achieve kinetic
energy preservation or entropy stability. While these techniques increase the
robustness of DG methods significantly, they are also computationally more
demanding than standard weak form nodal DG methods. We present several
implementation techniques to improve the efficiency of flux differencing DG
methods that use tensor product quadrilateral or hexahedral elements, in 2D or
3D respectively. Focus is mostly given to CPUs and DG methods for the
compressible Euler equations, although these techniques are generally also
useful for GPU computing and other physical systems including the compressible
Navier-Stokes and magnetohydrodynamics equations. We present results using two
open source codes, Trixi.jl written in Julia and FLUXO written in Fortran, to
demonstrate that our proposed implementation techniques are applicable to
different code bases and programming languages.

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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
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The categories of this paper are: econ
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
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The categories of this paper are: nlin