Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical Treatment of Hypersingular Integral Equations with Application
  to Crack Mechanics   In this paper we present a treatment of hypersingular integrals and integral
equations. It is shown the equivalence of different definitions of
hypersingular integrals. Then we construct explicit analytical solution to a
characteristic equation and prove convergence of the collocation method to this
solution. Further, we expand these results to full hypersingular kernels, and
give a demonstration of the developed method to some problems of crack
mechanics including crack problem for porous elastic materials, in the
framework of Cowin-Nunziato model.

24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph