Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical Integration as a Finite Matrix Approximation to Multiplication
  Operator   In this article, numerical integration is formulated as evaluation of a
matrix function of a matrix that is obtained as a projection of the
multiplication operator on a finite-dimensional basis. The idea is to
approximate the continuous spectral representation of a multiplication operator
on a Hilbert space with a discrete spectral representation of a Hermitian
matrix. The Gaussian quadrature is shown to be a special case of the new
method. The placement of the nodes of numerical integration and convergence of
the new method are studied.

0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph