Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite Volume Method for a System of Continuity Equations Driven by
  Nonlocal Interactions   We present a new finite volume method for computing numerical approximations
of a system of nonlocal transport equation modeling interacting species. This
method is based on the work [F. Delarue, F. Lagoutire, N. Vauchelet,
Convergence analysis of upwind type schemes for the aggregation equation with
pointy potential, Ann. Henri. Lebesgue 2019], where the nonlocal continuity
equations are 10 treated as conservative transport equations with a nonlocal,
nonlinear, rough velocity field. We analyze some properties of the method, and
illustrate the results with numerical simulations.

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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph