Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical analysis of strongly nonlinear PDEs   We review the construction and analysis of numerical methods for strongly
nonlinear PDEs, with an emphasis on convex and nonconvex fully nonlinear
equations and the convergence to viscosity solutions. We begin by describing a
fundamental result in this area which states that stable, consistent, and
monotone schemes converge as the discretization parameter tends to zero. We
review methodologies to construct finite difference, finite element, and
semi-Lagrangian schemes that satisfy these criteria, and, in addition, discuss
some rather novel tools that have paved the way to derive rates of convergence
within this framework.

11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph