Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Semi-implicit second order schemes for numerical solution of level set
  advection equation on Cartesian grids   A new parametric class of semi-implicit numerical schemes for a level set
advection equation on Cartesian grids is derived and analyzed. An accuracy and
a stability study is provided for a linear advection equation with a variable
velocity using partial Lax-Wendroff procedure and numerical von Neumann
stability analysis. The obtained semi-implicit kappa-scheme is 2nd order
accurate in space and time in any dimensional case when using a dimension by
dimension extension of the one-dimensional scheme that is not the case for
analogous fully explicit or fully implicit kappa-schemes. A further improvement
is obtained by using so-called Corner Transport Upwind extension in
two-dimensional case. The extended semi-implicit kappa-scheme with a specific
(velocity dependent) value of kappa is 3rd order accurate in space and time for
a constant advection velocity, and it is unconditional stable according to the
numerical von Neumann stability analysis for the linear advection equation in
general.

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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: econ