Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Monge-Amp\`{e}re equation   We review recent advances in the numerical analysis of the Monge-Amp\`ere
equation. Various computational techniques are discussed including wide-stencil
finite difference schemes, two-scaled methods, finite element methods, and
methods based on geometric considerations. Particular focus is the development
of appropriate stability and consistency estimates which lead to rates of
convergence of the discrete approximations. Finally we present numerical
experiments which highlight each method for a variety of test problem with
different levels of regularity.

27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph