Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stable evaluation of Gaussian radial basis functions using Hermite
  polynomials   Gaussian radial basis functions can be an accurate basis for multivariate
interpolation. In practise, high accuracies are often achieved in the flat
limit where the interpolation matrix becomes increasingly ill-conditioned.
Stable evaluation algorithms have been proposed by Fornberg, Larsson & Flyer
based on a Chebyshev expansion of the Gaussian basis and by Fasshauer & McCourt
based on a Mercer expansion with Hermite polynomials. In this paper, we propose
another stabilization algorithm based on Hermite polynomials but derived from
the generating function of Hermite polynomials. The new expansion does not
require a complicated choice of parameters and offers a simple extension to
high-dimensional tensor grids as well as a generalization for anisotropic
multivariate basis functions using the Hagedorn generating function.

27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys