Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical schemes and rates of convergence for the Hamilton-Jacobi
  equation continuum limit of nondominated sorting   Nondominated sorting arranges a set of points in Euclidean space into layers
by repeatedly removing the coordinatewise minimal elements. It was recently
shown that nondominated sorting of random points has a Hamilton-Jacobi equation
continuum limit. The obvious numerical scheme for this PDE has a slow
convergence rate of O(h^1/n) for a grid of spacing h>0 in dimension n. In this
paper, we introduce two new numerical schemes that have formal rates of O(h)
and we prove the usual O(h^1/2) theoretical rates. We also present the results
of numerical simulations illustrating the difference between the formal and
theoretical rates.

37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg