Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extended Skew-Symmetric Form for Summation-by-Parts Operators and
  Varying Jacobians   A generalised analytical notion of summation-by-parts (SBP) methods is
proposed, extending the concept of SBP operators in the correction procedure
via reconstruction (CPR), a framework of high-order methods for conservation
laws. For the first time, SBP operators with dense norms and not including
boundary points are used to get an entropy stable split-form of Burgers'
equation. Moreover, overcoming limitations of the finite difference framework,
stability for curvilinear grids and dense norms is obtained for SBP CPR methods
by using a suitable way to compute the Jacobian.

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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: econ