Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergent numerical method for a linearized travel time tomography
  problem with incomplete data   We propose a new numerical method to solve the linearized problem of travel
time tomography with incomplete data. Our method is based on the technique of
the truncation of the Fourier series with respect to a special basis of L2.
This way we derive a boundary value problem for a system of coupled partial
diffeerential equations (PDEs) of the first order. This system is solved by the
quasi-reversibility method. Hence, the spatially dependent Fourier coefficients
of the solution to the linearized Eikonal equation are obtained. The
convergence of this method is established. Numerical results for highly noisy
data are presented.

27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int