Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Discrete Transparent Boundary Conditions for the Equation of Rod
  Transverse Vibrations   Local perturbations of an infinitely long rod go away to infinity. On the
contrary, in the case of a finite length of the rod, the perturbations reach
its boundary and are reflected from it. The boundary conditions constructed
here for the implicit difference scheme imitate the Cauchy problem and provide
almost no reflection. These boundary conditions are non-local in time, and
their practical implementation requires additional calculations at every time
step. To minimise them, a special rational approximation similar to the Hermite
- Pad\'e approximation is used. Numerical experiments confirm the high
"transparency" of these boundary conditions and determine the conditional
stability regions for finite-difference scheme.

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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: math-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom