Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A time-spectral algorithm for fractional wave problems   This paper develops a high-accuracy algorithm for time fractional wave
problems, which employs a spectral method in the temporal discretization and a
finite element method in the spatial discretization. Moreover, stability and
convergence of this algorithm are derived, and numerical experiments are
performed, demonstrating the exponential decay in the temporal discretization
error provided the solution is sufficiently smooth.

3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio