Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An adaptive multiresolution ultra-weak discontinuous Galerkin method for
  nonlinear Schrodinger equations   This paper develops a high order adaptive scheme for solving nonlinear
Schrodinger equations. The solutions to such equations often exhibit solitary
wave and local structures, which makes adaptivity essential in improving the
simulation efficiency. Our scheme uses the ultra-weak discontinuous Galerkin
(DG) formulation and belongs to the framework of adaptive multiresolution
schemes. Various numerical experiments are presented to demonstrate the
excellent capability of capturing the soliton waves and the blow-up phenomenon.

36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th