Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: High Order Residual Distribution Conservative Finite Difference HWENO
  Scheme for Steady State Problems   In this paper, we develop a high order residual distribution (RD) method for
solving steady state conservation laws in a novel Hermite weighted essentially
non-oscillatory (HWENO) framework recently developed in [24]. In particular, we
design a high order HWENO integration for the integrals of source term and
fluxes based on the point value of the solution and its spatial derivatives,
and the principles of residual distribution schemes are adapted to obtain
steady state solutions. Two advantages of the novel HWENO framework have been
shown in [24]: first, compared with the traditional HWENO framework, the
proposed method does not need to introduce additional auxiliary equations to
update the derivatives of the unknown variable, and just compute them from the
current point value of the solution and its old spatial derivatives, which
saves the computational storage and CPU time, and thereby improve the
computational efficiency of the traditional HWENO framework. Second, compared
with the traditional WENO method, reconstruction stencil of the HWENO methods
becomes more compact, their boundary treatment is simpler, and the numerical
errors are smaller at the same grid. Thus, it is also a compact scheme when we
design the higher order accuracy, compared with that in [11] Chou and Shu
proposed. Extensive numerical experiments for one- and two-dimensional scalar
and systems problems confirm the high order accuracy and good quality of our
scheme.

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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci