Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the numerical solution of a hyperbolic inverse boundary value problem
  in bounded domains   We consider the inverse problem of reconstructing the boundary curve of a
cavity embedded in a bounded domain. The problem is formulated in two
dimensions for the wave equation. We combine the Laguerre transform with the
integral equation method and we reduce the inverse problem to a system of
boundary integral equations. We propose an iterative scheme that linearizes the
equation using the Fr\'echet derivative of the forward operator. The
application of special quadrature rules results to an ill-conditioned linear
system which we solve using Tikhonov regularization. The numerical results show
that the proposed method produces accurate and stable reconstructions.

23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess