Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: High-order energy stable schemes of incommensurate phase-field crystal
  model   This article focuses on the development of high-order energy stable schemes
for the multi-length-scale incommensurate phase-field crystal model which is
able to study the phase behavior of aperiodic structures. These high-order
schemes based on the scalar auxiliary variable (SAV) and spectral deferred
correction (SDC) approaches are suitable for the L 2 gradient flow equation,
i.e., the Allen-Cahn dynamic equation. Concretely, we propose a second-order
Crank-Nicolson (CN) scheme of the SAV system, prove the energy dissipation law,
and give the error estimate in the almost periodic function sense. Moreover, we
use the SDC method to improve the computational accuracy of the SAV/CN scheme.
Numerical results demonstrate the advantages of high-order numerical methods in
numerical computations and show the influence of length-scales on the formation
of ordered structures.

33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
19
The categories of this paper are: eess
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an