Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Low-Dimensional Spatial Embedding Method for Shape Uncertainty
  Quantification in Acoustic Scattering   This paper introduces a novel boundary integral approach of shape uncertainty
quantification for the Helmholtz scattering problem in the framework of the
so-called parametric method. The key idea is to construct an integration grid
whose associated weight function encompasses the irregularities and
nonsmoothness imposed by the random boundary. Thus, the solution can be
evaluated accurately with relatively low number of grid points. The integration
grid is obtained by employing a low-dimensional spatial embedding using the
coarea formula. The proposed method can handle large variation as well as
non-smoothness of the random boundary. For the ease of presentation the theory
is restricted to star-shaped obstacles in low-dimensional setting. Higher
spatial and parametric dimensional cases are discussed, though, not extensively
explored in the current study.

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The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an