Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An inverse problem for a semi-linear wave equation: a numerical study   We consider an inverse problem of recovering a potential associated to a
semi-linear wave equation with a quadratic nonlinearity in $1 + 1$ dimensions.
We develop a numerical scheme to determine the potential from a noisy
Dirichlet-to-Neumann map on the lateral boundary. The scheme is based on the
recent higher order linearization method [20]. We also present an approach to
numerically estimating two-dimensional derivatives of noisy data via Tikhonov
regularization. The methods are tested using synthetic noisy measurements of
the Dirichlet-to-Neumann map. Various examples of reconstructions of the
potential functions are given.

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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat