Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Accurate and efficient computation of nonlocal potentials based on
  Gaussian-sum approximation   We introduce an accurate and efficient method for a class of nonlocal
potential evaluations with free boundary condition, including the 3D/2D
Coulomb, 2D Poisson and 3D dipolar potentials. Our method is based on a
Gaussian-sum approximation of the singular convolution kernel and Taylor
expansion of the density. Starting from the convolution formulation, for smooth
and fast decaying densities, we make a full use of the Fourier pseudospectral
(plane wave) approximation of the density and a separable Gaussian-sum
approximation of the kernel in an interval where the singularity (the origin)
is excluded. Hence, the potential is separated into a regular integral and a
near-field singular correction integral, where the first integral is computed
with the Fourier pseudospectral method and the latter singular one can be well
resolved utilizing a low-order Taylor expansion of the density. Both
evaluations can be accelerated by fast Fourier transforms (FFT). The new method
is accurate (14-16 digits), efficient ($O(N \log N)$ complexity), low in
storage, easily adaptable to other different kernels, applicable for
anisotropic densities and highly parallelable.

16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom