Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A convergent finite volume method for the Kuramoto equation and related
  non-local conservation laws   We derive and study a Lax--Friedrichs type finite volume method for a large
class of nonlocal continuity equations in multiple dimensions. We prove that
the method converges weakly to the measure-valued solution, and converges
strongly if the initial data is of bounded variation. Several numerical
examples for the kinetic Kuramoto equation are provided, demonstrating that the
method works well both for regular and singular data.

29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex