Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A quasilinear complexity algorithm for the numerical simulation of
  scattering from a two-dimensional radially symmetric potential   Standard solvers for the variable coefficient Helmholtz equation in two
spatial dimensions have running times which grow quadratically with the
wavenumber $k$. Here, we describe a solver which applies only when the
scattering potential is radially symmetric but whose running time is
$\mathcal{O}\left(k \log(k) \right)$ in typical cases. We also present the
results of numerical experiments demonstrating the properties of our solver,
the code for which is publicly available.

16
The categories of this paper are: stat
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int