Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Superconvergence of Local Discontinuous Galerkin method for
  one-dimensional linear parabolic equations   In this paper, we study superconvergence properties of the local
discontinuous Galerkin method for one-dimensional linear parabolic equations
when alternating fluxes are used. We prove, for any polynomial degree $k$, that
the numerical fluxes converge at a rate of $2k+1$ (or $2k+1/2$) for all mesh
nodes and the domain average under some suitable initial discretization.
  We further prove a $k+1$th superconvergence rate for the derivative
approximation and a $k+2$th superconvergence rate for the function value
approximation at the Radau points.
  Numerical experiments demonstrate that in most cases, our error estimates are
optimal, i.e., the error bounds are sharp.

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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
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The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph