Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal design of optical analog solvers of linear systems   In this paper, given a linear system of equations A x = b, we are finding
locations in the plane to place objects such that sending waves from the source
points and gathering them at the receiving points solves that linear system of
equations. The ultimate goal is to have a fast physical method for solving
linear systems. The issue discussed in this paper is to apply a fast and
accurate algorithm to find the optimal locations of the scattering objects. We
tackle this issue by using asymptotic expansions for the solution of the
underlyingpartial differential equation. This also yields a potentially faster
algorithm than the classical BEM for finding solutions to the Helmholtz
equation.

19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc