Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: INFFTM: Fast evaluation of 3d Fourier series in MATLAB with an
  application to quantum vortex reconnections   Although Fourier series approximation is ubiquitous in computational physics
owing to the Fast Fourier Transform (FFT) algorithm, efficient techniques for
the fast evaluation of a three-dimensional truncated Fourier series at a set of
\emph{arbitrary} points are quite rare, especially in MATLAB language. Here we
employ the Nonequispaced Fast Fourier Transform (NFFT, by J. Keiner, S. Kunis,
and D. Potts), a C library designed for this purpose, and provide a Matlab and
GNU Octave interface that makes NFFT easily available to the Numerical Analysis
community. We test the effectiveness of our package in the framework of quantum
vortex reconnections, where pseudospectral Fourier methods are commonly used
and local high resolution is required in the post-processing stage. We show
that the efficient evaluation of a truncated Fourier series at arbitrary points
provides excellent results at a computational cost much smaller than carrying
out a numerical simulation of the problem on a sufficiently fine regular grid
that can reproduce comparable details of the reconnecting vortices.

17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg