Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analysis of a time-stepping scheme for time fractional diffusion
  problems with nonsmooth data   This paper establishes the convergence of a time-steeping scheme for time
fractional diffusion problems with nonsmooth data. We first analyze the
regularity of the model problem with nonsmooth data, and then prove that the
time-steeping scheme possesses optimal convergence rates in $
L^2(0,T;L^2(\Omega)) $-norm and $ L^2(0,T;H_0^1(\Omega)) $-norm with respect to
the regularity of the solution. Finally, numerical results are provided to
verify the theoretical results.

5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat