Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Adaptive linear second-order energy stable schemes for time-fractional
  Allen-Cahn equation with volume constraint   A time-fractional Allen-Cahn equation with volume constraint is first
proposed by introducing a nonlocal time-dependent Lagrange multiplier. Adaptive
linear second-order energy stable schemes are developed for the proposed model
by combining invariant energy quadratization and scalar auxiliary variable
approaches with the recent L1$^{+}$ formula. The new developed methods are
proved to be volume-preserving and unconditionally energy stable on arbitrary
nonuniform time meshes. The accelerated algorithm and adaptive time strategy
are employed in numerical implement. Numerical results show that the proposed
algorithms are computationally efficient in multi-scale simulations, and
appropriate for accurately resolving the intrinsically initial singularity of
solution and for efficiently capturing the fast dynamics away initial time.

3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat