Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Error Bounds for Numerical Integration of Oscillatory Bessel Transforms
  with Algebraic or Logarithmic Singularities   In this paper, we present and analyze the Clenshaw-Curtis-Filon methods for
computing two classes of oscillatory Bessel transforms with algebraic or
logarithmic singularities. More importantly, for these quadrature rules we
derive new computational sharp error bounds by rigorous proof. These new error
bounds share the advantageous property that some error bounds are optimal on
$\omega$ for fixed $N$, while other error bounds are optimal on $N$ for fixed
$\omega$. Furthermore, we prove from the presented error bounds in inverse
powers of $\omega$ that the accuracy improves greatly, for fixed $N$, as
$\omega$ increases.

19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol