Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Structure-preserving algorithms for multi-dimensional fractional
  Klein-Gordon-Schr\"{o}dinger equation   This paper aims to construct structure-preserving numerical schemes for
multi-dimensional space fractional Klein-Gordon-Schr\"{o}dinger equation, which
are based on the newly developed partitioned averaged vector field methods.
First, we derive an equivalent equation, and reformulate the equation as a
canonical Hamiltonian system by virtue of the variational derivative of the
functional with fractional Laplacian. Then, we develop a semi-discrete
conservative scheme via using the Fourier pseudo-spectral method to discrete
the equation in space direction. Further applying the partitioned averaged
vector field methods on the temporal direction gives a class of fully-discrete
schemes that can preserve the mass and energy exactly. Numerical examples are
provided to confirm our theoretical analysis results at last.

35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess