Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Highly Accurate Nystr\"{o}m Volume Integral Equation Method for the
  Maxwell equations for 3-D Scatters   In this paper, we develop highly accurate Nystr\"{o}m methods for the volume
integral equation (VIE) of the Maxwell equation for 3-D scatters. The method is
based on a formulation of the VIE equation where the Cauchy principal value of
the dyadic Green's function can be computed accurately for a finite size
exclusion volume with some explicit corrective integrals of removable
singularities. Then, an effective interpolated quadrature formula for tensor
product Gauss quadrature nodes in a cube is proposed to handle the
hyper-singularity of integrals of the dyadic Green's function. The proposed
high order Nystr\"{o}m VIE method is shown to have high accuracy and
demonstrates $p$-convergence for computing the electromagnetic scattering of
cubes in $R^3$.

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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: physics