Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-stiff methods for Airy flow and the modified Korteweg-de Vries
  equation   In this paper, we implement non-stiff interface tracking methods for the
evolution of 2-D curves that follow Airy flow, a curvature-dependent dispersive
geometric evolution law. The curvature of the curve satisfies the modified
Korteweg-de Vries equation, a dispersive non-linear soliton equation. We
present a fully discrete space-time analysis of the equations (proof of
convergence) and numerical evidence that confirms the accuracy, convergence,
efficiency, and stability of the methods.

33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th