Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A low-rank Lie-Trotter splitting approach for nonlinear fractional
  complex Ginzburg-Landau equations   Fractional Ginzburg-Landau equations as the generalization of the classical
one have been used to describe various physical phenomena. In this paper, we
propose a numerical integration method for solving space fractional
Ginzburg-Landau equations based on a dynamical low-rank approximation. We first
approximate the space fractional derivatives by using a fractional centered
difference method. Then, the resulting matrix differential equation is split
into a stiff linear part and a nonstiff (nonlinear) one. For solving these two
subproblems, a dynamical low-rank approach is used. The convergence of our
method is proved rigorously. Numerical examples are reported which show that
the proposed method is robust and accurate.

23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin