Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The back-and-forth method for Wasserstein gradient flows   We present a method to efficiently compute Wasserstein gradient flows. Our
approach is based on a generalization of the back-and-forth method (BFM)
introduced by Jacobs and L\'eger to solve optimal transport problems. We evolve
the gradient flow by solving the dual problem to the JKO scheme. In general,
the dual problem is much better behaved than the primal problem. This allows us
to efficiently run large-scale simulations for a large class of internal
energies including singular and non-convex energies.

16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph