Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Error analysis for a finite difference scheme for axisymmetric mean
  curvature flow of genus-0 surfaces   We consider a finite difference approximation of mean curvature flow for
axisymmetric surfaces of genus zero. A careful treatment of the degeneracy at
the axis of rotation for the one dimensional partial differential equation for
a parameterization of the generating curve allows us to prove error bounds with
respect to discrete $L^2$- and $H^1$-norms for a fully discrete approximation.
The theoretical results are confirmed with the help of numerical convergence
experiments. We also present numerical simulations for some genus-0 surfaces,
including for a non-embedded self-shrinker for mean curvature flow.

14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an