Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A high-order accurate accelerated direct solver for acoustic scattering
  from surfaces   We describe an accelerated direct solver for the integral equations which
model acoustic scattering from curved surfaces. Surfaces are specified via a
collection of smooth parameterizations given on triangles, a setting which
generalizes the typical one of triangulated surfaces, and the integral
equations are discretized via a high-order Nystrom method. This allows for
rapid convergence in cases in which high-order surface information is
available. The high-order discretization technique is coupled with a direct
solver based on the recursive construction of scattering matrices. The result
is a solver which often attains $O(N^{1.5})$ complexity in the number of
discretization nodes $N$ and which is resistant to many of the pathologies
which stymie iterative solvers in the numerical simulation of scattering. The
performance of the algorithm is illustrated with numerical experiments which
involve the simulation of scattering from a variety of domains, including one
consisting of a collection of 1000 ellipsoids with randomly oriented semiaxes
arranged in a grid, and a domain whose boundary has 12 curved edges and 8
corner points.

26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci