Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The regularizing properties of multistep methods for first kind Volterra
  integral equations with smooth kernels   We study quadrature methods for solving Volterra integral equations of the
first kind with smooth kernels under the presence of noise in the right-hand
sides, with the quadrature methods being generated by linear multistep methods.
The regularizing properties of an a priori choice of the step size are
analyzed, with the smoothness of the involved functions carefully taken into
consideration. The balancing principle as an adaptive choice of the step size
is also studied. It is considered in a version which sometimes requires less
amount of computational work than the standard version of this principle.
Numerical results are included.

9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int