Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A dual consistent finite difference method with narrow stencil second
  derivative operators   We study the numerical solutions of time-dependent systems of partial
differential equations, focusing on the implementation of boundary conditions.
The numerical method considered is a finite difference scheme constructed by
high order summation by parts operators, combined with a boundary procedure
using penalties (SBP-SAT).
  Recently it was shown that SBP-SAT finite difference methods can yield
superconvergent functional output if the boundary conditions are imposed such
that the discretization is dual consistent. We generalize these results so that
they include a broader range of boundary conditions and penalty parameters. The
results are also generalized to hold for narrow-stencil second derivative
operators. The derivations are supported by numerical experiments.

16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga