Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Improved Error Bounds for Dirichlet-to-Neumann Absorbing Boundaries   It has long been known how to construct radiation boundary conditions for the
time dependent wave equation. Although arguments suggesting that they are
accurate have been given, it is only recently that rigorous error bounds have
been proved. Previous estimates show that the error caused by these methods
behaves like epsilon C exp(gamma t) for any gamma > 0. We improve these results
and show that the error behaves like epsilon t^2.

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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga