Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Signal processing approach to mesh refinement in simulations of
  axisymmetric droplet dynamics   We propose a novel mesh refinement scheme based on signal processing for
boundary integral simulations of inviscid droplet dynamics with axial symmetry.
A key idea is to directly access the Fourier coefficients of a principal
curvature as a function of the arclength through a natural change of variables.
The trapezoidal rule is applied to those Fourier-type integrals and the
resulting formula fits in the framework of the non-uniform fast Fourier
transform. This observation enables to efficiently use an envelope analysis and
smoothing filter to generate guidelines for mesh refinement in two singularity
formation scenarios. Applications also include a non-iterative construction of
the uniform parametrization for an important class of plane curves, which is
used in a convergence study of the time-stepping procedure implemented in the
previous work by Nitsche and Steen [J. Comput. Phys. 200 (2004) 299].

27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ